Module Handbook of the Erasmus Mundus Master 'Structural &
Advanced Solid Mechanics'
(STRAINS)
SEMESTER 1: COMMON BASIS
University of Lille/Centrale Lille
Mathematical Tools for Engineering 5 ECTS
Numerical Methods in Engineering 5 ECTS
Continuum Mechanics 5 ECTS
Constitutive Laws 5 ECTS
Dynamics and Vibrations 5 ECTS
Experimental Mechanics 5 ECTS
Module #1 MATHEMATICAL TOOLS FOR ENGINEERING
Informations Credit Points : 5 ECTS
Workload : 56h
Mode : compulsory
Offered : 1st semester
Institution in charge Université de Lille - Ecole Centrale de Lille
Instructors G. de Saxcé, E. Leriche
Contents Tensorial Analysis. Tensor product. Contraction. Raising and lowering indices. Covariant derivative of tensor fields. Christoffels symbols. Complex analysis. Holomorphic functions and Cauchy’s integral formula. Meromorphic functions and residues. Linear ordinary differential equations (ODEs). Special functions and their properties. Fourier and Laplace transforms. Spectral analysis. Convolution. Systems of ODEs, resolvant matrix and Wronskian. Softwares for ODE solving. Classification of first and second order partial differential equations (PDEs). Hyperbolic PDEs: method of characteristics, wave equation. Elliptic PDE’s : Laplace’s equation and harmonic functions. Parabolic PDEs: heat equation.
Examination written final exam
Requirement for examination
no specific requirement
Learning outcomes On successful completion of the course students will be able to: ● Demonstrate a practical foundation in calculus and its
applications; ● Demonstrate an understanding of matrices and
eigenvectors; ● Demonstrate an awareness of common mathematical
themes underlying different areas of mathematics (such as that of linearity).
Module #2 NUMERICAL METHODS IN ENGINEERING
Informations Credit Points : 5 ECTS
Workload : 50h
Mode : compulsory
Offered : 1st semester
Institution in charge Université de Lille - Ecole Centrale de Lille
Instructors J.-B. Colliat , Y. Desplanques
Contents This course aims at presenting the basis and fundamentals of the Finite Element Method (FEM). The standard discrete system and origins of the Finite Element Method. Generalization of the finite element concepts. Galerkin-weighted residual and variational approaches. ‘Standard’ and ‘hierarchical’ element shape functions: some general families of C0 continuity. Mapped elements and numerical integration – ‘infinite’ and ‘singularity elements’. Problems in linear elasticity.Field problems – heat conduction, electric and magnetic potential and fluid flow. The patch test, reduced integration, and non-conforming elements. The time dimension – discrete approximation in time. Solution of non-linear algebraic equations. Introduction to inelastic and non-linear materials. A large part of the examples shall be devoted to the use and the analysis of some basic FE procedures.
Examination written final exam
Requirement for examination
no specific requirement
Learning outcomes On successful completion of the course students will be able to: ● Demonstrate a practical foundation in calculus and its
applications; ● Demonstrate an understanding of matrices and
eigenvectors; Demonstrate an awareness of common mathematical themes underlying different areas of mathematics (such as that of linearity).
Module #3 CONTINUUM MECHANICS
Informations Credit Points : 5 ECTS
Workload : 50h
Mode : compulsory
Offered : 1st semester
Institution in charge Université de Lille - Ecole Centrale de Lille
Instructors J.-B. Colliat , Y. Desplanques
Contents The purpose of this introductory course of continuum mechanics is to develop the generalization of rational mechanics to continuum media, to present the basic concepts for modeling continuous classical media, and to deduce conservation laws and to provide simple constitutive laws for fluid and for solid. Chapter 1: The Cartesian tensor algebra and tensor analysis: calculation of tensor fields scalar, vector and higher-order tensor invariance relationship and basic operations: scalar, vector, dyadic products… differential operators: gradient, divergence, curl and Laplacian. Stokes, Gauss and Green theorems; Reynolds transport theorem. Chapter 2: Kinematics of continuum media: body configuration and motion, description of motion through 2 approaches : material or Lagrangian and spatial or Eulerian), material derivative, velocity, acceleration, trajectory, streamline. Deformation gradient tensor and strain deformation homogeneous equation of the movement kinematics of the rigid body, and the velocity gradient tensor associated. Chapter 3: The dynamics of continuous media: conservation of mass, volume forces, contact forces, and Cauchy postulate, conservation of momentum and angular momentum, equation of motion of a continuous medium, the properties of the stress tensor Cauchy, and simple stress state examples Chapter 4: Energy: energy conservation, entropy and the first and second principle laws of thermodynamics. Chapter 5: The laws of classical behavior for simple fluids and solid : viscous Newtonian (compressible and incompressible), and applications to Fluid Mechanics: Navier-Stokes equations; linear elastic solid with small deformation, Navier equations. Examples of simple applications like fluid solid possible to obtain analytical solutions that illustrate the power of modeling and proposed.
Examination written final exam
Requirement for examination
no specific requirement
Learning outcomes On successful completion of the course students will be able to: ● Demonstrate a practical foundation in calculus and its
applications;
● Demonstrate an understanding of matrices and eigenvectors; Demonstrate an awareness of common mathematical themes underlying different areas of mathematics (such as that of linearity).
Module #4 CONSTITUTIVE LAWS
Informations Credit Points : 5 ECTS
Workload : 50h
Mode : compulsory
Offered : 1st semester
Institution in charge Université de Lille - Ecole Centrale de Lille
Instructors G. de Saxcé, J.-F. Shao
Contents The aim of this course is, within the framework of continuous mechanics, to focus on the standard constitutive laws and to introduce general tools. Linear Elasticity: Hooke’s law, class of materials, isotropic material, experimental testing, potentials of the Elasticity, decomposition into hydrostatic and deviatoric parts of the strain and stress tensors. Thermodynamic restrictions on elastic coefficients, thermoelasticity. Linear Viscoelasticity: Kelvin-Voigt and Maxwell models, more general rheological models, 3D viscoelasticity, functional formulation and correspondence method using Laplace transform. Experimental curves for proportional and cyclic loadings, plastic yielding and Saint-Venant model. Elastoplastic response of some simple hyperstatic structures, von Mises, Tresca and Mohr-Coulomb models, isotropic and kinematical hardening and internal variables models. Hill inequality and Drucker stability condition, Prager condition of consistency. Some extensions: Viscoplasticity, nonlinear creep of metals and Norton law, stress tensors and strain measures in finite deformation, hyperelasticity.
Examination written final exam
Requirement for examination
no specific requirement
Learning outcomes On successful completion of the course students will be able to: ● Demonstrate a practical foundation in calculus and its
applications; ● Demonstrate an understanding of matrices and
eigenvectors; ● Demonstrate an awareness of common mathematical
themes underlying different areas of mathematics (such as that of linearity).
Module #5 DYNAMICS AND VIBRATIONS
Informations Credit Points : 5 ECTS
Workload : 48h
Mode : compulsory
Offered : 1st semester
Institution in charge Université de Lille - Ecole Centrale de Lille
Instructors G. de Saxcé
Contents The course presents the key theoretical tools of dynamical analysis of structures and introduces the standard numerical methods of approximation and resolution. Fundamentals: waves, resonance, damping. 1D systems. Vibration of strings and cables: Wave equation, general solution, eigenmodes and eigenfrequencies. orthogonality properties and Rayleigh quotient. Traction-compression vibration of rods. Bending vibrations of beams. Torsional vibration of shafts and other rotating systems. 2D and 3D systems. Vibration of plates. Wave propagation in 3D solids. P-waves and S-waves in isotropic elastic solids. Reflexion and transmission of waves. Rayleigh surface waves. Forced vibration problems. General method of resolution by mode superposition. Mechanical impedance method. Spectral analysis. Numerical methods. Finite element method. Resolution algorithms for eigenvalue problems. Time-integration schemes.
Examination written final exam
Requirement for examination
no specific requirement
Learning outcomes On successful completion of the course students will be able to: ● Demonstrate a practical foundation in calculus and its
applications; ● Demonstrate an understanding of matrices and
eigenvectors; ● Demonstrate an awareness of common mathematical
themes underlying different areas of mathematics (such as that of linearity).
Module #6 EXPERIMENTAL MECHANICS
Informations Credit Points : 5 ECTS
Workload : 56h
Mode : compulsory
Offered : 1st semester
Institution in charge Université de Lille - Ecole Centrale de Lille
Instructors M. Brieu, Y. Desplanques,
Contents The aim of this course is to introduce the conventional experimental mechanical test leading to identification the mechanical properties of materials. Part I : Introduction to sensors and testing machine Strain sensors, force sensors, Video extensometer and Digital Imaging Correlation, Testing machine and mechanical test. Part II : Experimental practice Experimental practice for the characterization of the linear elastic behavior of polymer and metals, non linear elasto-plastic behavior of polymer and metals, anisotropic linear elastic behavior of composites materials, viscoelasticity and viscoplasticity of polymers and metals.
Examination written final exam
Requirement for examination
no specific requirement
Learning outcomes On successful completion of the course students will be able to: ● Demonstrate a practical foundation in calculus and its
applications; ● Demonstrate an understanding of matrices and
eigenvectors; ● Demonstrate an awareness of common mathematical
themes underlying different areas of mathematics (such as that of linearity).
SEMESTER 2: PRE-ORIENTATION
The University of Calabria
at Cosenza
Wrocław University of
Science and Technology
Catholic University of
Louvain
Earthquake
Engineering
6
ECTS
Functional analysis –
applications to
boundary value
problems
5
ECTS Material selection
5
ECTS
Computational
Mechanics
6
ECTS Analytical mechanics
5
ECTS
Mechanics of
Materials
5
ECTS
Advanced Structural
Design
6
ECTS
Modeling of
multibody systems
5
ECTS
Mechanics of
composite Materials
5
ECTS
Nonlinear Structural
Analysis
6
ECTS
Design of
Engineering
Materials
5
ECTS
Plasticity and metal
forming
5
ECTS
Steel Structures 6
ECTS
Probabilistic
methods in
engineering
5
ECTS
Calculation of planar
structures
5
ECTS
Artificial intelligence
in engineering
5
ECTS
Project in
Mechanical design II
5
ECTS
Université Catholique de Louvain
Module #7 MECHANICS OF COMPOSITE MATERIALS
Informations Credit Points : 5 ECTS
Workload : 60h
Mode : Compulsory
Offered : 2nd semester
Institution in charge Université Catholique de Louvain
Instructors Doghri Issam
Contents Chap. 1 Composite materials: types, properties, applications,
fibers, matrices, forming processes.
Chap. 2 Anisotropic elasticity.
Chap. 3 Micro-mechanics approaches (homogenization theories).
Chap. 4 Behavior of a single layer (micro- and macro-mechanics).
Chap. 5 Classical laminate theory.
Chap. 6 Damage and failure (I) Classical approach: strength criteria
for single plies; first ply approach for laminates.
Chap. 7 Damage and failure (II) More advanced topics: inter-laminar
stresses; edge effects; delamination, continuum damage
mechanics, micromechanics of damage.
Examination Project (computational, using commercial software and students’
own developed module) and written examination. Final grade: 50%
project and 50% exam.
Requirement for examination
no specific requirement
Learning outcomes . Learn the basic concepts and the main models of mechanics of
composite materials.
.Get a good introduction to more advanced topics (e.g.,
homogenization; multiscale modeling; damage and failure).
.Use up-to-date software to aid in the design and computation of
composite materials, structures and products.
Module #8 PROJECT IN MECHANICAL DESIGN II
Informations Credit Points : 5 ECTS
Workload : 60h
Mode : Compulsory
Offered : 2nd semester
Institution in charge Université Catholique de Louvain
Instructors Dehez Bruno, Ronsse Renaud, Everarts Christophe (substitute for Raucent Benoit)
Contents This module project aims to train the student, through practice, to
develop projects in mechanical design. The finalization of projects
is pushed as far as possible and the integration of different
disciplines is promoted. Project themes are diverse, even
individualized. They exclusively cover the design and sizing of
mechanical devices, from an industrial application. However, the
functions of these devices or appliances are not confined to the
field of mechanics
Examination Except exceptional situations, the evaluation takes the group
performances into account. The following items will be accounted
for:
the work done by the group during the whole year;
intermediate reports and presentations (specs, pre-project,
dimensioning);
final report;
global and fabrication drawings;
public presentation;
the answers given to the questions raised by the audience.
Groups for which the project would not be advanced enough after
the dimensioning step will not be allowed to perform the public
presentation at the end of the second quadrimester. They will have
to autonomously perform complementary work that will be
evaluated within the exam session of September. Moreover, this
situation will also be applicable for individual students who would
not have provided a fair personal contribution within their group.
Requirement for examination
no specific requirement
Learning outcomes 1. Analyze a problem proposed by a client from the industry,
and write its corresponding specifications. E.g.: conveying of
mechanical pieces, sorting and storing of coal, support for organic
tissue cutting during a surgery, etc.
2. Achieve a pre-study of the device and present a pre-project
to the client: finding possible solutions, comparing them based on
criterions from the specs, selecting the best solution, making a pilot
mock-up, preliminary dimensioning, etc.
3. Conduct the detailed design of the selected solution,
including: the components dimensioning; the selection of standard
materials and components (bearings, motors, gears); the
production of a global drawing of the solution, and of detailed
drawings for fabrication by using CAD software.
4. Build up a synthesis folder presenting all technical details of
the selected solution (global drawing, nomenclature, calculations,
...) for the industrial client.
Module #9 CALCULATION OF PLANAR STRUCTURES
Informations Credit Points : 5 ECTS
Workload : 60h
Mode : Compulsory
Offered : 2nd semester
Institution in charge Université Catholique de Louvain
Instructors Doghri Issam ;
Contents Chapitre 1 : Plane strain and plane stress in Cartesian coordinates.
Chapitre 2 : Plane strain and plane stress in cylindrical coordinates.
Chapitre 3 : Kirchhoff-Love plate theory in Cartesian coordinates.
Chapitre 4 : Kirchhoff-Love plate theory in cylindrical coordinates.
Chapitre 5 : Reissner-Mindlin plate theory.
Chapitre 6 : Finite element formulations of plate theories.
Examination Project (computational, using commercial software and students’ own developed module) and written examination. Final grade: 50% project and 50% exam.
Requirement for examination
no specific requirement
Learning outcomes Know the main assumptions and some applications of
important problems in elasticity (plane problems and plate
theories.
Solve analytically relatively simple and nevertheless
interesting problems (e.g., tube under inner and outer
pressures, stress concentration in a plate with a small
circular hole, force on the straight edge of a semi-infinite
plate, bending of a circular plate under axisymmetric
loading, etc.)
Solve more complicated, real-life problems with a finite
element numerical software, and understand all steps
(geometry definition, input of material data and other
problem parameters, space and time discretization, solver
algorithms, post-processing and visualization of
computation results).
Module #10 MATERIAL SELECTION
Informations Credit Points : 5 ECTS
Workload : 52,5h
Mode : Compulsory
Offered : 2nd semester
Institution in charge Université Catholique de Louvain
Instructors Bailly Christian ; Pardoen Thomas ;
Contents The design process
Material properties charts
The basics of materials selection
Over constrained and multiple objectives problems
Influence of shape on material selection
Design of hybrid materials
- Process selection
Examination The students will be individually graded based on the objectives
indicated above. More precisely, the evaluation involves the
grading of
-the presentation of two case studies already solved in the
supporting book by group of two;
-the presentation of a new material selection problem by group of
two;
- a written exam based on a short list of synthetic questions prepared by the teachers and given during the module
Requirement for examination
no specific requirement
Learning outcomes Apply the material selection procedure to real problems (case studies) which involve the analysis of the problem (i.e. define the list of requirement by decomposition into the elementary functions in order to define the working conditions and function, main solicitations, objectives and constraints), the derivation of performance indices, the selection of the best solution, the justification of the simplification, the critical assessment of the solution and the formulation of better solution compared to existing solution ' all these steps will require mobilizing all their scientific and technical knowledge gained in earlier training regarding physical phenomena and all the classes of materials.
Module #11 MECHANICS OF MATERIALS
Informations Credit Points : 5 ECTS
Workload : 60h
Mode : Compulsory
Offered : 2nd semester
Institution in charge Université Catholique de Louvain
Instructors Simar Aude ; Delannay Laurent ;
Contents The course will cover the following topics :
· Materials selection procedure to achieve desired mechanical
properties (material classes, performance indices)
· Complements of linear thermo(visco)elasticity : phase partitioning
of strain and stress in composite materials (incl. eigenstrains and
anisotropy)
· Contact stresses ·
Plasticity and viscoplasticity (yield surface, J2 theory, elastic
springback,·
. Linear elastic fracture mechanics + influence of microstructure
on toughness –
. Fatigue
Examination The final exam will asssess both the level of understanding of theoretical concepts and the student's skills to solve practical exercices. Students will be graded while accounting also for the outcome of their project.
Requirement for examination
no specific requirement
Learning outcomes At the end of the course, students will be able :
· to solve basic problems using models allowing to predict
mechanical responses of materials involving (hyper)elasticity and
(visco)plasticity under finite strains as well as crack propagations,
· to explain the physics underlying each model and the link
between microstructure and macroscopic mechanical properties, ·
to explain the origin of various phenomena including anisotropy of
composite materials, elastic spring back and necking of plastically
deformed samples, residual stresses and creep.
· to select a material with the best combination of mechanical
properties based on the definition of performance indices,
Module #12 PLASTICITY AND METAL FORMING
Informations Credit Points : 5 ECTS
Workload : 52,5h
Mode : Compulsory
Offered : 2nd semester
Institution in charge Université Catholique de Louvain
Instructors Delannay Laurent ; Pardoen Thomas ;
Contents Part I Plasticity theory
A. Macroscopic theory in 1D
B. Macroscopic theory in 3D (yield surface, J2
deformation theory, J2 flow theory, anistropic
theory)
C. Crystal plasticity theory
Part II Other phenomena during plastic forming operations
D. Internal stress
E. Crystallographic textures
F. Formability
G. Contact mechanics
H. Microstructural evolution and high temperature deformation
I. Évolutions microstructurales et déformation à chaud
Part III Main plastic forming operations
Examination The students will be individually graded based on the objectives
indicated above. More precisely, the evaluation involves the
grading of
--
a project, by groups of 3 or 4 students, based on the use of the finite
element code Abaqus to simulate a forming process under different
operating conditions. The forming operation will be orally presented
to the rest of the class, illustrated by the results of the finite element
simulations. The oral presentation will be supplemented by a written
report. The grading will account also for daily work during the
semester.
--
a set of imposed exercises the day of the written exam
--
the answers to one or two theoretical questions selected within a list of about 10 questions of synthesis provided by the teachers during the module.
Requirement for examination
no specific requirement
Learning outcomes Calculate, analytically, the evolution of stress and strain in plastically
deforming samples/crystals under homogenous loading;
Describe how metal forming operations are affected by a few
important phenomena including: plastic localization, damage,
internal stresses, texture development, plastic anisotropy, contact
and wear, high temperature microstructure evolution;
Explain and identify the key technological and scientific issues in the
most important forming operations: rolling, deep drawing, extrusion,
wire drawing, forging.
Explain the fundamental assumptions underlying several continuum
plasticity theories (J2 deformation theory, yield surface, normality
rule, J2 flow theory, anisotropic extensions, etc) and single crystal
theory (e.g. Schmidt rule);
University of Calabria at Cosenza
Module #13 EARTHQUAKE ENGINEERING
Informations Credit Points : 6 ECTS
Workload : 50h
Mode : Compulsory
Offered : 2nd semester
Institution in charge University of Calabria at Cosenza
Instructors Prof. Fabio Mazza
Contents Criteria and methods are given for the structural design in a seismic area. Although particular attention is addressed to the seismic design of building structures, the basic knowledge for design of different structures (bridges, tanks, dams, retaining walls) is also given.
Examination Written final exam
Requirement for examination
no specific requirement
Learning outcomes The course aims providing with the knowledge necessary for the seismic design of structures.
Module #36 STELL STRUCTURES
Informations Credit Points : 6 ECTS
Workload : 50h
Mode : Compulsory
Offered : 3rd semester
Institution in charge The University of Calabria at Cosenza
Instructors Prof. Luciano Ombres
Contents The course provides basic technical knowledge and codes
provisions for the structural design of steel constructions. In
particolar, the course furnishes knowledges on procedures for the
analysis and design of structural elements and connections at the
serviceability (deformability)and ultimate limit states (strength and
stability). In addition, procedures and methologies for the design
of structural systems (moment resistance frames, bracing frames
(X bracing, V bracing) Of single-storey and multi-storey steel
constructions in seismic areas are furnished together with actual
Codes provisions (Eurocodes, NTC).
Examination written final exam
Requirement for examination
No specific requirements
Learning outcomes The course provides basic technical knowledge and codes
provisions for the structural design of steel constructions.
Specific skills
1.Acquisition of the basis procedures for the analysis and design, common to each steel structures typology 2.Procedures and methodologies for the design of single-storey steel buildings 3.Procedures and methodologies for the design of multi- storey steel buildings 4.Design a steel structures (modelling and analysis, graphical representation of structures with details).
Transversal skill
1.Ability to define structural systems of steel buildings; 2.Ability and autonomy to define optimal structural design solutions
Ability to collaborate with other students (group project) and to
present obtained results of the work.
Module #33 ADVANCED STRUCTURAL DESIGN
Informations Credit Points : 6 ECTS
Workload : 50h
Mode : compulsory
Offered : 3rd semester
Institution in charge The University of Calabria at Cosenza
Instructors Prof. Paolo Nevone Blasi
Contents The course provides advanced tools for the analysis and designing of reinforced concrete structures, considering both strength and ductility. Specifically, it deals the structural issues concerning the analysis and designing of a multistory building in seismic zone. The building has cantilever lateral slabs and cantilever corner slabs, staircases, shear walls and other structural elements. In addition, the course provides the ground rules for designing with strut & tie models and for studying the structural problem of punching shear.
Examination written final exam
Requirement for examination
No specific requirements
Learning outcomes The objective is to provide the bases for the structural design of structural systems, using the main building materials, according to the limit state method. Specific skills:
Structural model and analysis of a multistory reinforced concrete building in seismic area.
Structural model, analysis and design of structural systems: slabs, staircases, foundation, shear walls, etc..
Analysis and design using strut and tie models and punching shear problems.
Drafting of a design: analysis, design, internal reinforcement drawing and details.
Transverse skills:
Ability and autonomy in solving work tasks.
Capability to collaborate, develop, share, and present group activities.
Module #14 COMPUTATIONAL MECHANICS
Informations Credit Points : 6 ECTS
Workload : 50h
Mode : Compulsory
Offered : 2nd semester
Institution in charge University of Calabria at Cosenza
Instructors Profs. Salvatore Lopez / Antonio Bilotta
Contents This course covers the relevant computational structural mechanics method of computational engineering. Students will understand the energetic principles of structural mechanics and will be able to apply finite element modelling. They will develop the ability to realize and to apply appropriate computational algorithms for the solution of linear and nonlinear structural problems.
Examination written final exam
Requirement for examination
No specific requirements
Learning outcomes The course aims at providing the methodological tools to address and solve problems of structural analysis using computational tools. The theoretical arguments are converted into numerical algorithms and finite element codes developed in Maple and C++. Commercial codes to model more complex structures are described.
Module #16 NONLINEAR STRUCTURAL ANALYSIS
Informations Credit Points : 6 ECTS
Workload : 50h
Mode : Compulsory
Offered : 2nd semester
Institution in charge University of Calabria at Cosenza
Instructors Prof. Giovanni Garcea
Contents The course provides the basic tools for the nonlinear structural analysis. The principal topics treated regard the structure instability phenomena and the plasticity theory. During the course a number of applications are provided with reference to beam systems, trusses, plate and shell using a finite element formulation.
Examination written final exam
Requirement for examination
No specific requirements
Learning outcomes The course aims to provide the methodological tools to address and solve problems of nonlinear analysis of structures with respect to the large deformations and constitutive nonlinearities. The theoretical arguments are converted into numerical algorithms and finite element codes developed in MATLAB or C++. Commercial code ABAQUS is used to model more complex structures.
Wrocław University of Science and Technology
Module #18 FUNCTIONAL ANALYSIS – APPLICATIONS TO BOUNDARY VALUE PROBLEMS
Informations Credit Points: 5 ECTS
Workload : 60 h
Mode : Compulsory
Offered : 2nd semester
Institution in charge Wrocław University of Science and Technology
Instructors Wojciech Puła, Marcin Chwała
Contents Examples of classical boundary value problems. Linear equations:
canonical forms, separation of the variables (the Fourier method).
Limitations of classical methods in the context of contemporary
problems of mechanics. Metric spaces: exapmles, convergence in
metric spaces, complete metric spaces, the Banach–Caccioppoli
fixed-point theorem. Normed spaces, Banach spaces, Linear
operators and functionals, bounded operators (Banach’s theorem).
Unitary spaces and their geometrical properties (Pythagorean
theorem), Hilbert spaces, orthogonal expansions, the orthogonal
projection theorem. Sobolev spaces. Functions of compact support,
distributions, distribution derivatives, properties of H1 and H2
spaces. Generalized solutions of elliptic equations. Weak
formulation of boundary value problems, the Lax-Milgram theorem,
applications of the Lax-Milgram theorem. Methods of solving of
variational equations: the method of least squares, the orthogonal
projection method, the Galerkin method, the Ritz method.
Examination Written exam. In the case of any questions from both a student or the instructor sides an additional oral part can be required.
Requirement for examination
No specific requirements
Learning outcomes On successful completion of the course student will be able: 1. To demonstrate an understanding of weak formulation and
variational formulation of the boundary value problems. 2. To have a basic knowledge in mathematical bases of the
finite element method (FEM) and the boundary element method (BEM).
3. To demonstrate an understanding the basic concept of distributions and their derivatives.
4. To be able to recognise a concept of metric spaces theory in various engineering problems.
Module #19 ANALYTICAL MECHANICS
Informations Credit Points : 5 ECTS
Workload : 60 h
Mode : Compulsory
Offered : 2nd semester
Institution in charge Wrocław University of Science and Technology
Instructors Piotr Kotowski
Contents Examples of dynamic systems. Constrains and their types,
classification systems for the sake of the constrain types (holonomic
systems), possible velocities and possible displacements. The
fundamental problem of dynamics, virtual displacement, the notion
of ideal constraints, the general equation of dynamics, the virtual
work principle. The dynamic general equation for the rotational and
planar motion of rigid body (examples). Generalized coordinates.
Derivation of differential equations of motion by using the energy
conservation law expressed in generalized coordinates (examples).
Generalized forces. Configuration space. Lagrange’s equations (of
II type). Lagrange’s equations (cont. examples, applications).
Lagrangian. Linear systems with a finite number of degrees of
freedom, matrix notation, conservative systems. Free vibrations of
conservative systems: natural frequencies, modal matrices, mode
shapes. Harmonically forced vibration, frequency characteristics, an
example of oscillation analysis of two- degree- of- freedom system.
The dynamics of a rigid body in general motion: the orientation, the
recognition issue. Kinematics and dynamics of rigid body in case the
spherical rotation about a fixed point (reminder of the course
Mechanics II), the angular momentum in the general movement. The
dynamic equations for general motion of rigid body (Euler’s
equation). Gyroscope (approximate theory). An outline of linear
elastic particle collisions theory, inelastic collision rate.
Variational approach of Lagrangian mechanics. The central
Lagrange’s equation. Fundamental integral mechanical principle
(Hamilton’s principle), (Lecture + Exercises)
Examination Written exam
Requirement for examination
No specific requirements
Learning outcomes After completion of the course student : - is able to apply the virtual work principle and d'Alembert’s
principle for holonomic systems, - is able to derive the differential equations of motion of discrete
dynamical systems by using Lagrange’s equations, - can calculate the spectrum of natural frequencies and can
determine the modal matrix for discrete conservative linear
systems, - is able to analyze the dynamics of the gyro using the
approximate theory (gyroscopic moment and reaction forces in the supports).
Module #20 MODELLING OF MULTI-BODY SYSTEMS
Informations Credit Points : 5 ECTS
Workload : 60 h
Mode : Compulsory
Offered : 2nd semester
Institution in charge Wrocław University of Science and Technology
Instructors Artur Handke, Michał Osiński
Contents An introduction to the principles of building a multibody models.
Basics of modelling mechanisms in the MD. Adams system –
modelling links, kinematic pairs, kinematic excitations. Basics of
modelling mechanisms in the MD.Adams system –modelling loads
and perform calculations and analysis of results. The test of
modelling multibody system. Kinematic and kinetostatic analysis of
linkage mechanisms – building virtual models. The analysis of
kinematic and dynamic properties of the linkage mechanism
(project). Analysis of gears (normal, planetary and differential) –
principles of construction of virtual model. The analysis of kinematic
and dynamic properties of the gears (project). Building models of
manipulators – direct and inverse task of kinematics. Simulation
researches of manipulators (project). Building models of spatial
mechanisms – constraints, excitations. Modeling and simulations of
spatial mechanisms (project). Modeling and simulations of spatial
mechanisms – analysis of the results of calculations.
Examination Final test of knowledge and assement of project report
Requirement for examination
No specific requirements
Learning outcomes After completion of the course student : - knows how to apply professional computer system for
simulating and analyzing dynamic multibody, - is able to model the loads and the nature of work and the ability
to analyze the mechanism of the results of the simulation of the multi-segmentis,
- is able to compute the kinematics and dynamics of selected groups of mechanisms.
Module #21 DESIGN OF ENGINEERING MATERIALS
Informations Credit Points : 5 ECTS
Workload : 60h
Mode : Compulsory
Offered : 2nd semester
Institution in charge Wrocław University of Science and Technology
Instructors Krzysztof Widanka
Contents Introduction to design of materials. Effect of chemical composition,
processing and microstructure on properties of materials. Design of
structure of material for specific working conditions. The role and
significance of alloy phase diagrams in design of materials.
Strengthening mechanisms in metals and alloys - theory and
practice. The failure analysis - case study. Metal matrix composites
- fundamentals in design. Criteria and quantitative methods of
materials selection in engineering design.
Examination Final test of knowledge and assement of project report
Requirement for examination
No specific requirements
Learning outcomes After completion of the course student : - has advanced knowledge on structure-properties relationship as
well as on strengthening mechanisms in materials and their practical usage for material design of products,
- knows the fundamentals and design philosophy of modern engineering materials and the criteria and methodology of materials selection and can participate in engineering design of products,
- is able to design the materials structure in order to obtain the desired operational properties of product and to conduct the failure analysis of material and design the repair process for improvement of product durability
Module #22 PROBABILISTIC METHODS IN ENGINEERING
Informations Credit Points : 5 ECTS
Workload : 60 h
Mode : Compulsory
Offered : 2nd semester
Institution in charge Wrocław University of Science and Technology
Instructors W. Puła, J. Pieczyńska-Kozłowska, M. Chwała
Contents Statistical probability approach. Basic facts in measure theory.
Probability as a part of measure theory.
Outline of most often used probability distributions (discrete and
continuous).
Limit theorems.
Multidimensional distributions.
Random processes – basic facts. Stationary random processes –
correlation theory.
Probabilistic modelling of engineering problems – examples.
Estimation problems. The least square method, the maximum
likelihood method.
Bayesian approaches, basic and a concept of decision theory.
Examination A student will be mostly (75%) graded on the base of a written examination with an oral supplement (if necessary). Additionally her/his report on laboratory solved problems will be graded (25%).
Requirement for examination
No specific requirements
Learning outcomes On successful completion of the course student will be able:
1. To understand the measure’s theory based concept of probability.
2. To handle with the most common probability distributions and their statistical moments.
3. To model simple engineering problems involving uncertain phenomena (parameters) by random variables and random functions.
4. To have some skills in using most common estimation methods.
5. Understand Bayesian inference application to engineering problems.
Module #23 ARTIFICIAL INTELLIGENCE IN ENGINEERING
Informations Credit Points : 5 ECTS
Workload : 60h
Mode : Compulsory
Offered : 2nd semester
Institution in charge Wrocław University of Science and Technology
Instructors Jan Bień, Mieszko Kużawa
Contents Learning the fundamental techniques used in computer tools with
elements of artificial intelligence – applied in engineering.
Expert systems and range of their applications in engineering
(classification, architecture, evolution, directions of development).
Technologies of knowledge acquisition and representation in
computer systems. Knowledge bases and data bases. Expert
functions in computer systems supporting decisions.
Artificial neural networks – conception, architecture, training and
testing techniques, applications.
Fuzzy logic – fuzzy problems, linguistic variables, fuzzy reasoning
procedures, testing, applications.
Expert systems based on knowledge – design and implementation.
Technology of hybrid networks in expert systems.
Development of ability to design, computer implementation and
testing of simple expert tools with elements of artificial intelligence.
Technologies of knowledge acquisition and computer representation
– examples from selected fields of engineering.
Technology of artificial neural networks creation – introduction to
computer software.
Practical design, training and testing of artificial neural networks.
Individual task (i.e.: conceptual design, knowledge acquisition,
computer implementation and testing)
Examination Evaluating achievement will be conductive by colloquium on lecture at the end of semester and final laboratory report as well as active work in laboratory.
Requirement for examination
no specific requirement
Learning outcomes The student knows and understands methods of knowledge acquisition and representation in expert systems. The student knows methodology of design, computer implementation and testing of knowledge-based expert systems with elements of artificial intelligence. The student has skill to independent acquisition of knowledge in engineering and to design, computer implementation and testing of simple expert tools with elements of artificial intelligence, supporting decisions in engineering. The student is able to unaided solving the problems and is also prepared to a team-work (laboratory reports, laboratory exercises)
SEMESTER 3: SPECIALIZATION
The University
of Calabria
National Technical
University of Athens
Wrocław University of
Science and
Technology
University of
Lille/Centrale Lille
Catholic University
of Louvain
Elective modules
(6 among 9)
Elective modules
(6 among 10)
Elective modules
(6 among 9)
Structural
Analysis and
Design
6
ECTS
Advanced Plastic
Analysis of
frames
5
ECTS
Risk assessment in
geotechnics -
implementation of
Random Field
Theory
5
ECTS
Extended
methods
for Finite
Element
modeling
5
ECTS
Advanced
Manufacturing
Technologies
5
ECTS
Foundations
Engineering
9
ECTS
Advanced
Structural
Dynamics
5
ECTS
Mathematical
Homogenizations
and
Micromechanics
5
ECTS
Geomaterials
and porous
media
5
ECTS
Deformation and
fracture of
materials
5
ECTS
Theory of
Structures
9
ECTS
Boundary
Elements
5
ECTS
Advanced
Geoengineering
5
ECTS
Advanced
Composite
materials
5
ECTS Rheology
5
ECTS
Structural
Dynamics
6
ECTS
Load carrying
behavior of
structural systems
5
ECTS
Advanced steel-
concrete composite
constructions
5
ECTS
Advanced
experimental
and numerical
dialogue
5
ECTS Welding
5
ECTS
Applied Structural
Analysis of
Framed and Shell
Structures
5
ECTS
Advanced Soil
Mechanics and Soil
– Structure
Interaction
5
ECTS
Rubbing
contact:
coupling and
multi scale
effects
5
ECTS
Mechanical
design in
biomedical
engineering
5
ECTS
Non-linear Finite
Element Analysis
of Structures
5
ECTS Fracture mechanics
5
ECTS
Fatigue of
materials and
structures
5
ECTS
Vehicle system
dynamics
5
ECTS
Stochastic Finite
Elements
5
ECTS
Laboratory
identification of
composite
microstructure
properties
5
ECTS
Limit analysis
and shakedown
5
ECTS
Theory of Shells 5
ECTS
Advanced Nano-
materials
5
ECTS
Damage
Mechanics
5
ECTS
Structural
optimization
5
ECTS
Reliability and
Maintenance
Theory and
Engineering
5
ECTS Biomechanics
5
ECTS
Inventive
Engineering
5
ECTS
Université de Lille - Ecole Centrale de Lille
Module #24
EXTENDED METHODS FOR FE MODELING
Informations Credit Points : 5 ECTS
Workload : 50h
Mode : Elective modules
Offered : 3rd semester
Institution in charge Université de Lille - Ecole Centrale de Lille
Instructors J.-B. Colliat, J.-F. Shao
Contents This course aims at presenting the most up-to-date methods dealing
with kinematics enhancements within the classical FE method.
- Recall of the standard Finite Element Method for linear and
nonlinear structural problems (2h)
- Enhancement of FEM through « weak » discontinuities and
application to heterogeneous materials (2h)
- Enhancement of FEM through « strong» discontinuities and
application to fracture mechanics (2h)
- The Hu–Washizu variational theorem (4h)
- Local FE enhancements: the static condensation procedure
and the E-FEM method (2h)
- The partition of unity (2h)
- Global FE enhancements: the X-FEM method (2h)
A large part of the examples shall be devoted to the use and the analysis of some FE codes, and the implementation (in Fortran or Matlab) of the local and global methods of enhancements.
Examination 1 examination of 2 hours
Requirement for examination
Written exam
Learning outcomes Proficiency with theoretical backgound and computing techniques
Module #25
GEOMATERIALS AND POROUS MEDIA
Informations Credit Points : 5 ECTS
Workload : 50h
Mode : Elective modules
Offered : 3rd semester
Institution in charge Université de Lille - Ecole Centrale de Lille
Instructors J.-F. Shao, N. Burlion
Contents General presentation geomaterials: microstructures,
mineralogical compositions
Basic mechanical and physical properties of geomaterials
Geomaterials as porous geomaterials
Deformation of porous materials
Stress and momentum balance in porous media
Thermodynamics of porous media
Thermo-poroelastic behavior of porous media
Basic solution methods for thermo-hydromechanical problems
Examination 1 exam of 2 hours
Requirement for examination
Written exam
Learning outcomes Proficiency with theoretical background and skill for engineering applications
Module #26
Rubbing contact: coupling and multiscale effects
Informations Credit Points : 5 ECTS
Workload : 50h
Mode : Elective module
Offered : 3rd semester
Institution in charge Université de Lille - Ecole Centrale de Lille
Instructors J.-F. Brunel, A. Dufrénoy, V. Magnier (U. Lille), A.-L. Cristol, Y.
Desplanques (Centrale Lille)
Contents This course deals with multi-scale and multi-physic couplings
involved in rubbing systems. Tribological, thermal,
thermomechanical and dynamical aspects are considered, from
micro- and meso- scales of friction materials and wear mechanisms
at the friction interface to macro scales involved by components
and systems.
Part I Phenomena induced by friction
physical coupling at the friction interface, contact fatigue, thermal
contact, thermomechanics and thermal localisation, noise and
vibration.
Part II Advance friction experiment
tribosystem analysis and multi-physic couplings, similitude rules,
scale shift from full-scale to laboratory test, rubbing-surface infrared
thermography, multi-scale characterisation of rubbed surfaces,
identification of couplings and friction-wear mechanisms.
Part III Experimental and numerical practice
- Numerical analysis of thermal – mechanical coupling involved in
rubbing systems
- Numerical analysis of contact structure dynamical interaction
- Experimental case study of friction-induced vibrations,
- Experimental case study of friction with high energy dissipation
and thermal localisations.
Examination Project
Requirement for examination
no specific requirement
Learning outcomes At the end of this module, students will be able to dimension and design complete brake systems by integrating multi-physical aspects. They will also have a broad vision of tribological problems.
Module #27
ADVANCED EXPERIMENTAL AND NUMERICAL DIALOGUE
Informations Credit Points : 5 ECTS
Workload : 50h
Mode : Elective module
Offered : 3rd semester
Institution in charge Université de Lille - Ecole Centrale de Lille
Instructors A. El Bartali (Centrale Lille), P. Lecomte (Centrale Lille), V. Magnier (U.Lille), J.F. Witz (CNRS)
Contents The aim of this course is focused on the non-conventional
experimental mechanical tests based on particular using Digital
image (2D, DIC) and Volume (3D, DVC) correlation coupled to Finite
Elements calculations to characterize mechanical properties under
complex loadings. We will rely on the inverse methods to identify
heterogeneous properties in heterogeneous materials. The steps of
this course are the following:
Part I: reminder of the DIC and introduction of the DVC
Part II: Introduction to inverse methods
Part III: Experimental practice
Part IV: Characterization of heterogeneous material using
experiment-numerical dialog
Examination Projects
Requirement for examination
no specific requirement
Learning outcomes On successful completion of the course students will be able to :
- Characterize the mechanical behaviour of various materials
- Identify the constitutive laws
- Build a physical model based on experiments
Module #28
ADVANCED COMPOSITES MATERIALS
Informations Credit Points : 5 ECTS
Workload : 50h
Mode : Elective module
Offered : 3rd semester
Institution in charge Université de Lille - Ecole Centrale de Lille
Instructors M. Brieu, G. de Saxcé, P. Lecomte
Contents The aim of this course is to focus on the behavior of composites
materials focusing on the anisotropic linear elastic behaviors.
Part I : Constitution and elaboration of uni directionnal and multi
layered composites
Definition of uni-directionnal and multi-layered composites,
processing techniques
Part II : Behavior of uni directionnal and multi layered composites
Introduction of the anisotropic behavior and tensor, homogenization
of multi layered composites
Part III : Identification of anisotropy and gap to a class of anisotropy
Examination Written final exam
Requirement for examination
no specific requirement
Learning outcomes On successful completion of the course, students will be able to : - To know the basic definitions of composite materials, their nature and the orders of magnitude of their properties, the different architectures as well as the manufacture processes. - To model the linear elasticity behaviour of anisotropic materials. - To calculate the properties of the equivalent homogeneous ply from the properties of the constituents, - To model the average behaviour of laminated composites by the Classical Laminate Theory from the mechanical properties of the elementary ply. - To know the fields of validity of the assumptions of these different models. - To identify the mechanical properties of anisotropic material and to know the class of anisotropy of the material behaviour - For a given application, to choose the most suitable material and architecture.
Module #29
FATIGUE OF MATERIALS AND STRUCTURES
Informations Credit Points : 5 ECTS
Workload : 50h
Mode : Elective module
Offered : 3rd semester
Institution in charge Université de Lille - Ecole Centrale de Lille
Instructors A. El Bartali, N Limodin, Ph Quaegebeur
Contents The aim of this course is focussed on the progressive damage of
materials and structures under cyclic loading that leads to the
initiation and propagation of cracks. The objective of this course is
to introduce the important concepts in mechanical fatigue of
materials and structures to enable students to implement calculation
and design approaches in this area.
- Phenomenological description of fatigue
- Damage mechanisms in metallic materials
- Structural designing against high cycle fatigue
- Structural designing against low cycle fatigue
- Crack initiation and propagation by fatigue
- Consideration of defects
Examination Written final exam
Requirement for examination
no specific requirement
Learning outcomes On successful completion of the course students will be able to : - Identify the basic fatigue mechanisms from failure analysis - Develop an understanding of the influent parameters and basic mechanisms in the different fatigue regimes (Low Cycle fatigue, High Cycle fatigue) - Correctly predict fatigue crack growth and fatigue lifetimes - Design components to avoid fatigue failure during service loading
Module #30
LIMIT ANALYSIS AND SHAKEDOWN
Informations Credit Points : 5 ECTS
Workload : 45h
Mode : Elective module
Offered : 3rd semester
Institution in charge Université de Lille - Ecole Centrale de Lille
Instructors G. de Saxcé, J.-B. Tritsch, A. Oueslati
Contents The course allows to acquire a thorough knowledge of the calculus of the collapse plastic load under proportional loadings (limit analysis) and repeated variable loadings (shakedown analysis), as opposed to the incremental methods. The application concerns the structures as well as the materials.
• Limit analysis theory : proportional loadings, collapse by mechanism, statical and kinematical bound theorems, applications to plates and shells. Numerical methods.
• Shakedown analysis: repeated variable loadings, collapse by ratchet and accommodation, criticism of the incremental methods, Melan’s statical theorem, Koiter’s kinematical theorem, extension of the classical forms, applications. Numerical methods.
• Technics of limit and shakedown analysis in mechanics of materials: obtaining macroscopic criteria of plasticity and fatigue by homogenization.
Examination written final exam
Requirement for examination
no specific requirement
Learning outcomes On successful completion of the course students will be able to: - Demonstrate an understanding of bound theorems for proportional and repeated variable loadings; - Demonstrate an ability to apply these theorems to various kind of structures in order to assess their collapse load; - Demonstrate a knowledge of the corresponding numerical technics; - Demonstrate a knowledge of analytical tools used in mechanical of materials.
Module #31
DAMAGE MECHANICS
Informations Credit Points : 5 ECTS
Workload : 46h
Mode : Elective module
Offered : 3rd semester
Institution in charge Université de Lille - Ecole Centrale de Lille
Instructors A. El Bartali, P. Lecomte-Grosbras
Contents This course consists in an introduction on failure and damage of
materials. The objective is to start from the phenomenological
description of these damage mechanisms to define
micromechanical models and macroscopic approaches. This
course will focus primarily on metallic materials. At the end of the
course, the student will be able to design structures subjected to
loadings leading to these various damages and failures. Some
industrial problems will be used in order to justify and illustrate the
different parts of the course
- Phenomenological description of main failure types and
damage mechanisms of metallic materials : cases of
ductile, brittle failure
- Different modes of failure
- Toughness tests and Irwin Criteria
- Stress concentration factor and Stress Intensity Factor
- Description and consideration of notch, defects, cracks…
- Applications and illustrations on case study and structures.
Examination Written final exam
Requirement for examination
no specific requirement
Learning outcomes On successful completion of the course students will be able to :
- Identify the failure types and damage mechanisms
- Apply linear elastic fracture mechanics theory
- Model Crack growth
- Design components to avoid damage and fracture during service loading
Module #32
BIOMECHANICS
Informations Credit Points : 5 ECTS
Workload : 46h
Mode : Elective module
Offered : 3rd semester
Institution in charge Université de Lille - Ecole Centrale de Lille
Instructors P. Lecomte, O. Mayeur
Contents This course is an introduction to the biomechanics of biological tissues. It will address the notions of mechanical behaviour of biological tissues in relation to their composition. Students will experiment with methods for characterizing mechanical behaviour taking into account the difficulties associated with the manipulation of biological tissues. They will apply the notions of modelling mechanical behaviour in relation to experimental methods and in continuity with the notions introduced in continuum mechanics and the other courses of the Master STRAIN in order to choose the behaviour model, identify its parameters and validate it.
Examination Evaluations will be conducted during the sessions of the biomechanics course and a work of bibliography will be carried out.
Requirement for examination
No specific requirement
Learning outcomes At the end of the module the student will be able to :
- Choose, identify and validate a behaviour law of biological tissue
- Analyse experimental data
- From image build a numerical model of biological system
- Perform numerical simulation of biological system
- Adopt a global vision and grasp the problem in all its complexity
- Take into account the uncertainty generated by complexity
- Analyze the acceptability of a solution (assumptions, orders of magnitude ...)
The University of Calabria at Cosenza
Module #17 STRUCTURAL ANALYSIS AND DESIGN
Informations Credit Points : 6 ECTS
Workload : 50h
Mode : Compulsory
Offered : 2nd semester
Institution in charge University of Calabria at Cosenza
Instructors Prof. Francesco Bencardino
Contents The course provides to the students the necessary tools for the modeling and design of structures in the framework of civil and industrial engineering through the use of traditional and innovative materials, deepening the study of the main techniques of structural analysis and the use of current regulations.
Examination written final exam
Requirement for examination
No specific requirements
Learning outcomes The course aims to initiate students to the analysis and design of complex civil reinforced concrete, wood or steel structures, summarizing the knowledge gained in previous computational and design courses. Students are organized into groups and are guided in defining the assigned project, with both lectures and laboratory work in which each group is followed individually.
Module #15 STRUCTURAL DYNAMICS
Informations Credit Points : 6 ECTS
Workload : 50h
Mode : Compulsory
Offered : 2nd semester
Institution in charge University of Calabria at Cosenza
Instructors Prof. Salvatore Lopez
Contents This course is designed to provide students with a systematic knowledge and understanding of structural dynamics; enabling the analysis of vibration response of multi-degree-of-freedom and FEM modelled continuum systems; enabling the application of structural dynamics theories to solve practical problems in vibration engineering.
Examination written final exam
Requirement for examination
No specific requirements
Learning outcomes Specific competencies: the course introduces the basic concepts of structural dynamics and it presents the necessary tools for numerical simulation of the structural behavior under dynamic forces. Transversal competencies: the course introduces to the finite element modeling.
Module #34 FOUNDATIONS ENGINEERING
Informations Credit Points : 9 ECTS
Workload : 75h
Mode : compulsory
Offered : 3rd semester
Institution in charge The University of Calabria at Cosenza
Instructors Prof. Enrico Conte
Contents The course provides the tools required for the analysis and design of the most common foundation structures, such as shallow (footings, beams and mats) and deep foundations (piled foundations). The main topics dealt with in the course concern the subsurface investigation programming, bearing capacity of foundations, settlement prediction and soil-structure interaction to calculate the internal forces in the structural members.
Examination written final exam
Requirement for examination
No specific requirements
Learning outcomes The course aims to provide students with the skills needed for the design of both shallow and piled foundations
Module #35 THEORY OF STRUCTURES
Informations Credit Points : 9 ECTS
Workload : 75h
Mode : Compulsory
Offered : 3rd semester
Institution in charge The University of Calabria at Cosenza
Instructors Prof. Paolo Lonetti
Contents The course aims to provide the student methods and modeling tools to analyze several class of structures. The topics of the course are essentially the numerical methods typically utilized to analyze the structural behavior in the framework of linear and nonlinear fields.
Examination written final exam
Requirement for examination
No specific requirements
Learning outcomes The course is able to provide tools for modeling and analysis the behavior of typical structures utilized in the framework of civil and building engineering. Specific skills:
Utilize numerical methods to solve structural problems.
Ability to evaluate and simulate the behavior of several structural typologies.
Evaluate the behavior of elastic-plastic structures specifically of framed structures.
Transversal skills:
Develop and utilize EF commercial software for structural analyses.
Wrocław University of Science and Technology
Module #37 RISK ASSESSMENT IN GEOTECHNICS — IMPLEMENTATION
OF RANDOM FIELD THEORY
Informations Credit Points : 5 ECTS
Workload : 60h
Mode : Elective module
Offered : 3rd semester
Institution in charge Wrocław University of Science and Technology
Instructors W. Puła, M. Chwała, J. Pieczyńska-Kozłowska
Contents General comments on uncertainty in geotechnical analyses.
Sources and types of uncertainty in geomechanical properties.
Stochastic processes and random fields – basic theory.
Common random fields models. Probabilistic modelling of
geomechanical properties. Spatial averaging. Correlation radii.
Linear regression. Best linear unbiased estimation. Geostatistics -
Kriging. Basics of simulation. Simulation of random fields.
Outline of structural reliability. Examples of reliability assessments
to various geotechnical problems. The stochastic finite element
method (SFEM) and random finite element method (RFEM). An
overview.
RFEM application to shallow foundation settlement, earth pressure
problem and slope stability analysis.
Reliability based design.
Examples of risk assessments.
Examination Each student will receive a problem to solve using software available in the laboratory. The way of solving will give 70% of the final grade. The 30% will be given for the theoretical knowledge after oral discussion with the instructor.
Requirement for examination
Each student has to prepare a report on a solution of certain problem obtained at the beginning of the course.
Learning outcomes On successful completion of the course student will be able: 1. To understand the basic concept of the random fields
theory and its application to characterization of soil properties spatial variability.
2. To understand a basic ides of kriging and has some skill in using kriging’s software.
3. Operate software dedicated to reliability assessments available in the form of spreadsheets form.
4. To understand the basic ideas of stochastic finite element method and its applications.
5. To understand how the reliability approaches can be used in a design process.
Module #38 MATHEMATICAL HOMOGENIZATION AND MICROMECHANICS
Informations Credit Points : 5 ECTS
Workload : 60h
Mode : Elective module
Offered : 3rd semester
Institution in charge Wrocław University of Science and Technology
Instructors Dariusz Łydżba, Adrian Różański
Contents Principles of mathematical homogenization theory; H-convergence,
two-scale convergence, γ-convergence. Method of asymptotic
developments: linear elasticity problem, heat flow problem.
Evaluation of effective properties of composite with periodic
microstructure. Numerical implementation of periodic boundary
conditions. Principles of micromechanics. Computational and
analytical methods. Analytical methods: Eshelby solution of single
inclusion problem, bounds on effective properties. Analytical
methods: Maxwell approximation scheme, Mori-Tanaka
approximation scheme, Self-Consistent approximation scheme,
Differential Effective Medium approach. Analytical methods:
concentration parameter, average shape, equivalent microstructure
approach. Computational micromechanics: statistical microstructure
descriptors, size of Representative Volume Element. Computational
micromechanics: Principles of Monte Carlo simulations, sufficient
number of realizations (Central Limit Theorem, Chebyshev’s
Inequality). Computational micromechanics: numerical methods –
Finite Volume Method, Finite Element Method. Estimation of
effective properties based on digital image of microstructure: linear
elasticity and heat flow problems.
Examination written final exam
Requirement for examination
no specific requirement
Learning outcomes On successful completion of the course students will be able to: ● Evaluate bounds on effective properties with respect to
elastic and thermal properties, ● Compute effective properties of random media with the use
of homogenization approximation schemes, ● Solve simple problems of micromechanics in the framework
of numerical methods.
Module #39 ADVANCED GEOENGINEERING
Informations Credit Points : 5 ECTS
Workload : 60h
Mode : Elective module
Offered : 3rd semester
Institution in charge Wrocław University of Science and Technology
Instructors J. Pieczyńska-Kozłowska
Contents As part of the course, students obtain information on a wide range
of methods for strengthening the soil and creating contact surfaces
between the structure and the soil. Students will be led through a
spectrum of foundation methods from direct foundation through soil
reinforcement methods to indirect geotechnical structures. In part,
the course will be devoted to modern geotechnical technologies
used in the process of producing energy from renewable sources.
The special case considered as part of the course program will be
the foundation of special facilities such as i.e. wind turbines, energy
piles or tunnels.
Examination Oral exam where student will be ask to answer to a few of questions regarding the main concepts presented in the course (30% of final mark); individual work during semester (e.g. to prepare simple calculations to read and present orally a given topic) counts for the other 70%.
Requirement for examination
no specific requirement
Learning outcomes Distinguish and classify the different classes of foundation methods depending on the type of construction (linear, bridge, cubature). Obtains expanded knowledge in the field of modern technologies for strengthening the subsoil and intermediate foundations. Introduce the student to the multidisciplinary topics of renewable sources of energy in context of geotechnics structures Solve simple problems using the models derived during the lectures as well as the new concepts discovered in this course. Acquire knowledge of technologies and procedures for the implementation of complex geotechnical structures such as reinforced soil, retaining walls, soil and coating structures, etc. Student will gain knowledge of the impact of vibration caused by geotechnical works on various types of objects. Student will be able to: - design various of geotechnical structures and will have the opportunity to participate in the implementation process as part of cooperation with an industry partner. - select the appropriate technology based on material characteristics and soil and water conditions. - interpret and use in design knowledge resulting from the results of geotechnical studies
- demonstrate the ability to analyze the implementation process of complex geotechnical structures such as reinforced soil, retaining walls, soil and coating structures, etc. Is aware of the need to expand knowledge in the field of contemporary design techniques and geotechnical constructions. Obtains the ability to prepare presentations about renewable sources and geotechnical problems.
Module #40 ADVANCED STEEL-CONCRETE COMPOSITE
CONSTRUCTIONS
Informations Credit Points : 5 ECTS
Workload : 60h
Mode : Elective module
Offered : 3rd semester
Institution in charge Wrocław University of Science and Technology
Instructors Wojciech Lorenc, Maciej Kożuch, Piotr Kozioł
Contents The aim of the course is to familiarize participants with the theory of
composite steel and concrete structures, analysis methods, industry
experiences and with the latest achievements and progress in the
field. The development of composite structures and methods of their
analysis will be discussed: history, present day and predictable
future. In addition, specific aspects will be presented in the field of
building mechanics, strength of materials and steel constructions
constituting the necessary workshop in the analysis and construction
of advanced composite steel and concrete elements. Methods of
modeling, in particular FEM, and experimental methods will be
discussed. The specifics of contemporary R&D works leading to the
implementation of structures on the European market will be
presented. In addition, the specifics of design and implementation
will be presented.
Examination written final exam
Requirement for examination
no specific requirement
Learning outcomes At the end of the course, the student should be able to:
Understand basic principia for standard composite structures and
modern general composite sections
Make FE models of composite structures
Design composite elements and in particular shear connection
using welded studs and composite dowels
Distinguish the new composite forms on the background of
standard ones
Module #41 ADVANCED SOIL MECHANICS AND SOIL – STRUCTURE INTERACTION (CE)
Informations Credit Points : 5 ECTS
Workload : 60 h
Mode : Elective module
Offered : 3rd semester
Institution in charge Wrocław University of Science and Technology
Instructors M. Kawa, S. Sobótka
Contents Specifics of the soil medium: classifications physical and mechanical properties. Stress and deformation tensors. Concept of effective stress. Darcy’s Law, seepage force, permeability Test. Groundwater flow in saturated and unsaturated soil. Constitutive relations for deformation problems in soils. Models of the substrate. Analytical and numerical solution for elastic half-space. Consolidation problem. Plasticity of the soil: Mohr-Coulomb model. Direct shear test. Triaxial test. Retaining structures. Earth pressures. Stability of slopes. Analytical and numerical methods. Shear strength reduction method. Limit theorems. Finite element limit analysis. Application of numerical methods in analyses of geotechnical problems. Hydro-mechanical coupled problems. Specifics of soil - structure interaction. Strip foundations, shallow and deep tunnels, deep excavations. Modelling of contact zone between soil and the structure. In-situ soil testing. Designing and interpretation of tests of the soil.
Examination Written exam (60% of final mark); individual work during semester (shor reports from computer lab) counts for the other 40%.
Requirement for examination
no specific requirement
Learning outcomes On successful completion of the course students will be able to • understand the specifics of soil medium; • design and interpret laboratory and in-situ tests of the soil; • determine the state of stress as well as elastic and plastic deformations of the soil; • apply limit state theory; • apply numerical methods in designing earthen structures • utilize adequate model of soil-structure contact in numerical computations
Module #42 FRACTURE MECHANICS
Informations Credit Points : 6 ECTS
Workload : 60h
Mode : Elective module
Offered : 3rd semester
Institution in charge Wrocław University of Science and Technology
Instructors Grzegorz Lesiuk
Contents The course aims to introduce to students the fracture mechanics of
brittle and ductile materials. The lectures will focus on the
fundamentals of linear-elastic crack mechanics (LEFM) and elastic-
plastic fracture mechanics (EPFM) parameters, including J-Integral.
The proposed course is focused on the topics related to the practical
aspects of fracture and fatigue, structural integrity and lifetime
calculation solutions of engineering materials and structures
(metallic, composite, joints, etc.) – especially subjected to cyclic
loading.
Examination written final exam
Requirement for examination
no specific requirement
Learning outcomes After completion of the course student: - knows the fundamentals of fracture mechanics, - is able to calculate the critical load of cracked components/critical defect size for a given load level, - is able to predict the precritical fatigue crack growth lifetime, - is able to measure fracture resistance of materials, - knows the rules of the damage tolerance philosophy.
Module #43 LABORATORY IDENTIFICATION OF COMPOSITE MICROSTRUCTURE PROPERTIES
Informations Credit Points : 5 ECTS
Workload : 60h
Mode : Elective module
Offered : 3rd semester
Institution in charge Wrocław University of Science and Technology
Instructors Dariusz Łydżba, Adrian Różański
Contents Physical foundations of X-Ray computed tomography. Mathematical
foundations of X-Ray computed tomography: Radon transform,
Reconstruction procedure (Feldkamp algorithm).
Statistical descriptors of digital representation of microstructure:
volume porosity, fraction of open and closed pores, pore size
distribution, pore shape distribution, tortuosity.
Principles of nanoindentaion tests: loading paths, evaluation of
indentation depth, area of imprint. Nanoindentaion tests: theoretical
aspects – Sneddon solution. Grid Indentation Technique;
histograms, segmentation. Sequential Indentation Technique;
complex load paths, scales of observation, identification of scale
effect. Usefulness of nanoindentation technique – practical aspects.
Identification of carbonation zone in concrete, durability of crystalline
phase in concrete microstructure modified by the mineral powders.
Principles of Scanning Electron Microscopy (SEM). SEM: evaluation
of surface morphology descriptors. Combined use of
X-Ray microCT, nanoindentation tests, SEM for evaluation of
composite microstructure properties: geomaterials, concrete,
scaffold.
Examination Exam: oral (50% of final mark); individual work during semester (e.g. preparation of reports and presentations) counts for the other 50%.
Requirement for examination
no specific requirement
Learning outcomes On successful completion of the course students will be able to: ● Describe the microstructure of random materials in terms of
theory of probability, ● Prepare full research program for geometrical
microstructure identification with the use of available laboratory techniques,
● Prepare full research program for mechanical microstructure identification with the use of available laboratory techniques.
Module #44 ADVANCED NANOMATERIALS
Informations Credit Points : 5 ECTS
Workload : 90h
Mode : Elective module
Offered : 3rd semester
Institution in charge Wrocław University of Science and Technology
Instructors Jerzy Kaleta
Contents 1. Metallic glasses, for instance, e.g.: amorphous and
nanocrystalline Fe-based soft magnetic materials, bulk metallic
glasses, hard magnetic materials, magnetocaloric materials, shape
memory alloys. 2. Sol-Gel processing methods for functional
materials, and in this example: oxide nanomaterials: properties and
applications, sol-gel synthesis of nanomaterials , ways of
nanomaterials deposition, hybrid and functionalized oxide
nanomaterials, nanomaterials as interface materials, nanohybrids
for energy applications, nanomaterials for cells and tissues, smart
coatings for corrosion mitigations, significance of surface
modification by oxide nanomaterials, oxide nanomaterials in textile
industry, porosity and density of oxide nanomaterials.
3. Nanomaterials and nanostructures – methods of characterization,
for instance, e.g.: spectroscopic and microscopic methods for the
structural properties, approaches in mechanical studies of
nanomaterials, other research methods (Raman spectroscopy, XRD
diffraction), using of cross-effects for measurement techniques in
nanotechnology.
4. Detailed issues and case study in the field of nanomaterials, for
example: using of cross-effects for measurement techniques in
nanotechnology, application of thin coatings by ultrasonic spraying,
production of thin continuous large-surface layers by atomizing sol-
gel hydrolysates with "nano" additives in very slow flows,
nanotechnology and typical technological operations (e.g. painting,
lubrication, polishing, etching), magnetostriction, electrostriction,
photostriction - how to control the world "nano", when MEMS goes
into NEMS - or nanomachines.
Examination Final written test and assessment of laboratory reports
Requirement for examination
no specific requirement
Learning outcomes On successful completion of the course students will be able to: ● Describe the microstructure of random materials in terms of
theory of probability, ● Prepare full research program for geometrical
microstructure identification with the use of available laboratory techniques,
Prepare full research program for mechanical microstructure identification with the use of available laboratory techniques.
Module #45 RELIABILITY AND MAINTENANCE THEORY AND ENGINEERING (ME)
Informations Credit Points : 5 ECTS
Workload : 45h
Mode : Elective module
Offered : 3rd semester
Institution in charge Wrocław University of Science and Technology
Instructors Sylwia Werbińska-Wojciechowska
Contents Basic concepts and definitions. Relationship between teaching
supplies. Elements of machinery degradation. Characters, causes
and effects of the damage.The model of irreparable component
reliability. The reliability structure of unrecoverable system. Basic
and simple structures. The reliability structure of unrecoverable
system. Complex structures. Suitability path / Cut set. Reserving.
Reliability model of repairable element. Reliability model of
repairable system. Markov process. Stationary solution 2 Lec8
Markov process. Non-stationary solution Maintenace strategies.
Optimization of maintenance of facilities. Maintenace strategies.
Reliability Centered Maintenance. Safety of installations and
technical systems. The notion of risk. Risk analysis methods: FMEA
/ FMECA. Risk analysis methods: FTA / ETA 2. Fundamentals of risk
management methods: PHA, PSA, HAZOP. 2 Trends in
development of the science of reliability and safety.
Examination Final written test and assessment of final project
Requirement for examination
no specific requirement
Learning outcomes After completion of the coursedtudent : - knows know the basic methods for solving decision problems
that occur during the operation of a technical object, - knows the object reliability models and the methods of risk
analysis, - is able to explain the causes and effects occurring and the
potential damage / disaster / hazard.
Module #46 INVENTIVE ENGINEERING (ME)
Informations Credit Points : 5 ECTS
Workload : 45h
Mode : Elective module
Offered : 3rd semester
Institution in charge Wrocław University of Science and Technology
Instructors Sebastian Koziołek
Contents The ways of invention design with high impact on innovation.
Assesment of innovations by means of objective methods.
Innovation team building and methods of knowledge acquiring.
Forcasting of products and services development. Conceptual
design and prototyping. Planning and running of Invention
workshops. Methods supporting innovation: TRIZ, Design Thinking,
Syntactrics.
Examination Final written test and assessment of final project
Requirement for examination
no specific requirement
Learning outcomes After completion of the course student: - knows and understand the cycle of conceptual design
according to Inventive Engineering, - is able to design the product prototype and to carry out the
invention sessions, - is able to generate conceptual solutions with help of heuristic
methods, - is able to develop the conceptual design into final project with
help of CAD system.
Université Catholique de Louvain
Module #47 DEFORMATION AND FRACTURE OF MATERIALS
Informations Credit Points : 5 ECTS
Workload : 60h
Mode : Compulsory
Offered : 3rd semester
Institution in charge Université Catholique de Louvain
Instructors Pardoen Thomas ; Idrissi Hosni
Contents Basic concepts I. Reversible deformation : Chap II Elasticity and
thermoelasticity ; Chap III Viscoelasticity, anelasticity
II. Irreversible deformation : Chap IV Macroscopic plasticity ; Chap
V Dislocation theory ; Chap VI Hardening mechanisms, link
microstructure - plasticity ; Chap VII Viscoplasticity and creep of
polymers and metals
III. Damage and fracture : Chap VIII Damage ; Chap IX Fracture
mechanics ; Chap X Mechanisms of cracking ; Chap XI Sub- critical
crack growth and fatigue (not covered every year)
Examination The students will be individually graded based on the objectives
indicated above. More precisely, the evaluation involves the
grading of
--
short lab reports (about 10%);
--
an original exercise invented by the student based on a real
engineering problem (see further); the criteria are : (1) creativity/
originality in the selection of the problem; (2) diversity of concepts
involved in the problem; (3) complexity of the problem; (4) quality/
exactness of the approximations/assumptions and solution. The
exercise will be presented on paper; an oral discussion is optional.
This exercise can be prepared by group of two but each student
must provide a specific report involving different values for the
parameters appearing in the problem (about 30%);
--
the solution to an imposed exercise; the textbook being available
for that part of the exam (about 30%);
--
the answers to a few questions of synthesis regarding the main
concepts, models and phenomena presented in the course; the list
of possible questions is given to the students during the year (about
30%).
The grading of the different notes indicated above (about 10% 30% 30% 30%) will be applied except if there is a deep failure in one of them. More precisely, if one score is equal or below 6/20 for one note, the weight of this note will be increased by one half while the
other weights are proportionally decreased. If this level of failure is attained for several notes, this modification is made only on one note, the weakest one except if it is the one for the lab reports.
Requirement for examination
no specific requirement
Learning outcomes 1. Distinguish and classify the different classes of mechanical
behaviour: reversible deformation, permanent deformation (rate
dependent or not), damage and fracture;
--
2. Define the macroscopic properties characterizing the mechanical
performances of materials : stiffness, strength, ductility, creep
resistance, fracture toughness and explain how these quantities are
measured experimentally and indexed (units);
--
3 Identify and schematically represent the various mechanisms in
terms of length and time scales, interactions and couplings, for the
various classes of materials, responsible for the macroscopic
properties;
4 Solve simple mechanical problems using the physical/mechanical
models derived during the lectures as well as the new concepts
discovered in this course (e.g. internal stress, stress intensity factor,
energy release rate, ');
5. Establish, justify and present a strategy of resolution of a complex
engineering problem involving plasticity and fracture, implying in
particular the simplification of the geometry, of the loading conditions
and of the material response in order to reveal to key parameters
playing a role;
Module #48 VEHICLE SYSTEM DYNAMICS
Informations Credit Points : 5 ECTS
Workload : 60h
Mode : Compulsory
Offered : 3rd semester
Institution in charge Université Catholique de Louvain
Instructors Fisette Paul
Contents 1. Introduction : Fundamental concepts of kinematics, multibody
dynamics, vibration and numerical methods in view of analysis of
vehicle stability, handling and comfort.
2. Railway vehicles - Technology : carbodies, bogies, primary and
secondary suspensions, track, track irregularities, vehicle
morphology (tramway, metro, high-speed trains, etc.), main
concepts: load, Y/Q ratio, critical speeds
3. Railway vehicles - "Macro" models:
carbodies/bogies/wheelset/wheel/rail contact simplified model,
simplified wheelset model (stability) and vertical model (comfort)
4. Railway vehicles - specific models: wheelset-track 3D model,
independent wheel-rail model, wheel-flange second contact, curved
track model, primary and secondary suspensions models, etc.
5. Railway vehicles - specific models: (cont.)
6. Railway vehicles - use and interpretation of models : model
versus experiment, parameter sensitivity analyses, model-based
understanding of the fundamental dynamical phenomena
7. Road vehicles - Technology: suspensions (classification), role of
the tire, anti-roll bar system, etc., main concepts: struts, car roll
centre, torsion bars, suspension typical motions
8. Road vehicles - "Macro" models : sprung and unsprung masses,
geometrical roll centre computation, Ackermann steering geometry
9. Road vehicles - specific models : 3D kinematics of suspensions :
McPherson strut, multi-link suspensions, etc., torsion and anti-roll
systems, tire/ground modelling : description of the various models
(lateral, longitudinal, vertical, combined) and model-based
comparison ; flexible modelling of carbodies
10. Road vehicles - specific models: (cont.)
11. Road vehicles - use and interpretation of models : model
versus experiment, parameter sensitivity analyses, model-based
understanding of fundamental dynamical phenomena
(understeering/oversteering, entry curving, steady state curving,
comfort criteria with different road profile characteristics
12. Specific vehicles - Technology and Modelling : bicycles and
motorcycles (stability, gyroscopic effects, wheel/ground contact
models, '), and/or trucks and trailers (lateral stability, jacknifing),
and/or tracked vehicles on loose and uneven terrains (geometrical
models, constitutive models, ')
13. Seminar on hybrid modelling: 2 detailed applications (problem -
model - results - analysis): these seminars will be closely linked to
the research of the CEREM (Centre for Research in Mechatronics
of UCL)
14. "Industrial" Seminar: "Railway dynamics, the point of view of
the industry" (Bombardier-Transport, France) or "Car suspensions"
(Tenneco-Automotive, Saint-Trond, Belgium).
Exercises - Projects - Pre-project : to become familiar with the
modelling of wheel/ground and/or wheel/rail contact; duration = 3
weeks, software : ROBOTRAN. - Project : modelling of railway or
road vehicle behaviours, among the following (non exhaustive) list
of subjects (duration = 8 to 10 weeks):
- Cars with and without anti-roll bar system : comparison of curve
performances
- Over/under steering behaviour of a simple car: analysis in entry
curving
- Modelling of the "jacknifing" phenomenon of a truck+trailer.
- Lateral stability of a sidecar or of an ATV
- Modelling of a car equipped with an ESP system - analysis of
entry curving behaviour
- Optimization of passive suspension parameters to improve
passenger comfort criteria
- Model-based computation of the critical speed of a railway bogie
on a straight track (linear, non-linear cases)
- Railway : study and modelling of the second-contact (flange
contact) - application to entry curving
- Modelling of railway bogies with independent wheels (ex.
Tram2000): study of the behaviour on a straight track
- Modelling and analysis of the " wobble " and " weave "
phenomena of a motorbike.
Students will work in groups of 2 or 3. They will either use the
ROBOTRAN program or a commercial multibody program
(SIMPACK or AMESIM), depending on the selected project.
Training for using these programs will be organized at the
beginning of the semester. Visit to a company - Bombardier-
Transport Company : Crespin (France) or - Tenneco-Automotive
Company, Saint-Trond, Belgique.
Examination Project defence and oral examination related to the course and the
project
- project : a plenary session of group presentations will be
organized
- oral examination (individual) related to the course and the project
: students may have the course notes at their disposal.
Requirement for examination
no specific requirement
Learning outcomes By the end of this course, students should be able to understand
the kinematic and dynamical phenomena responsible for road and
railway vehicle behaviour, in terms of stability, handling and
comfort. They will also be able to model them mathematically and
build a simulation program: using it, they will point out various
vehicular behaviours and emphasize the role of mechanical
devices which are at the root of vehicle dynamical performance.
Module #49 RHEOLOGY
Informations Credit Points : 5 ECTS
Workload : 60h
Mode : Compulsory
Offered : 3rd semester
Institution in charge Université Catholique de Louvain
Instructors Legat Vincent ; Van Ruymbeke Evelyne ;
Contents Phenomenology of rheologically-complex flow behaviour: observed
experimental linear and non-linear viscoelastic behaviour in shear
and elongational flows. Mathematical modelling based on continuum
mechanics: conservation laws and a hierarchy of constitutive
rheological equations (generalized Newtonian fluid, linear
viscoelastic models, differential and integral models). Mathematical
modelling based on molecular kinetic theory: how to obtain
constitutive equations from molecular models of statistical
mechanics, detailed consideration of dilute and concentrated
polymer solutions ("Rouse" and "tube" models). Simple flow
problems: analytical solutions using the macroscopic and
"molecular"constitutive equations listed above, comparison with
experimental data and critical evaluation. Complex industrial flows:
discussion of the basic macroscopic and micro-macro approaches
to computer simulation in non-Newtonian fluid mechanics,
illustration of modern techniques and recent results. Introduction to
research topics in the field: illustration of current themes based on
the lecturer's research activities.
Examination Exam: oral and open book (50% of final mark); individual work during semester (e.g. to read, report, and present orally a scientific paper) counts for the other 50%.
Requirement for examination
no specific requirement
Learning outcomes Introduce the student to the multidisciplinary topics of rheology and
non-Newtonian fluid mechanics: phenomenology of rheologically-
complex fluids, mathematical modelling based on continuum
mechanics and molecular kinetic theory, analytical solution of simple
problems, approaches to computer simulation of industrial flows,
introduction to current research in the field.
Module #50 WELDING
Informations Credit Points : 5 ECTS
Workload : 60h
Mode : Compulsory
Offered : 3rd semester
Institution in charge Université Catholique de Louvain
Instructors Jacques Pascal ; Simar Aude ;
Contents Definition of welding, welding joint and weldability.
--
Influence of the heat input.
--
The welding processes: gas welding, arc welding, resistance
welding, ...
--
The evolution of the properties in the heat affected zone of the
welded joint.
--
Causes and solutions to avoid the main types of cracking.
Examination Oral exam with written preparation
Requirement for examination
no specific requirement
Learning outcomes Understand the main characteristics of each welding process.
--
Choose the best welding process for a given assembly.
--
Understand the physical principles underlying the joining
operations by welding.
--
Anticipate the modifications of the microstructure that will be the
result of a given welding operation (phase transformation,
defects).
Module #51 ADVANCED MANUFACTURING TECHNOLOGIES
Informations Credit Points : 5 ECTS
Workload : 60h
Mode : Compulsory
Offered : 3rd semester
Institution in charge Université Catholique de Louvain
Instructors Simar Aude
Contents Manufacturing process selection : selection strategy, project of
process selection.
Complements on machining and computer assisted processing:
cutting forces, automatisation, Mastercam programming project and
realization on machine.
Additive manufacturing: processes, process selection criteria,
metallurgical quality of the workpieces, project on free workpiece in
polymer produced by FDM (Fused deposition modelling)
Non-conventional machining processes: electro-erosion, laser
cutting, water cutting.
Virtual manufacturing: Hypothesis of finite elements calculations,
practical applications case study.
Examination -Three projects during the semester (process selection, computer
assisted manufacturing, additive manufacturing FDM)
-Projects are part of the evaluation
-Oral exam during the exam session
Requirement for examination
no specific requirement
Learning outcomes At the end of the course, the student will be capable to :
Choose a manufacturing process for a given workpiece using
quantifiable criteria
Choose optimal cutting conditions (machines, forces, tools, ')
Perceive the interest of computational tools for manufacturing.
Evaluate the interest of additive manufacturing in comparison to
classical processing methods
Pose hypothesis for the
numerical modelling of
manufacturing Translate the
geometry of a workpiece in
manufacturing operations
Module #52 MECHANICAL DESIGN IN BIOMEDICAL ENGINEERING
Informations Credit Points : 5 ECTS
Workload : 50h
Mode : Compulsory
Offered : 3rd semester
Institution in charge Université Catholique de Louvain
Instructors Vankrunkelsven Ann (subtitute for Raucent Benoit), Kerckhofs Greet
Contents The purpose of the course is to initiate students to the design metholodogies involved in biomedical engineering, taking into account the specificities and constraints related to the area of medicine and surgery. Teaching includes several sessions and seminars on main topics in the area of medicine and surgery, and a project to design of a new medical/surgical device in collaboration with clinicians.
The main contents of the course are:
design methods and specificities related to the area of medicine and surgery (identification of medical requirements, risk analysis, etc.)
the constraints intrinsic to the area of medicine and surgery (biocompatibility, sterilization, accuracy and precision, ergonomics and safety, etc.)
the industrial constraints (certification, cost, etc.).
Examination Evaluation will be based on the project, especially the written report (50%), the oral presentation (30%) and the quality of work done during the semester (20%).
An evaluation grid will be given to students.
Requirement for examination
No specific requirement
Learning outcomes At the end of the course, students will be able to:
address practical, relevant problems encountered in medicine and surgery,
understand specificities related to the medical/surgical area (e.g. orthopaedics orcardiac surgery)
clarify the medical needs and formulate the technical specifications,
develop a state-of-the-art of existing devices, design a technical solution that complies with medical
constraints, test the solution with a 3D functional prototype (3D printed,
etc.),
communicate findings in an oral presentation and a summary report.
National Technical University of Athens
Module #53 ADVANCED PLASTIC ANALYSIS OF FRAMES
Informations Credit Points : 5 ECTS
Workload : 50h
Mode : Elective module
Offered : 3rd semester
Institution in charge National Technical University of Athens
Instructors K. Spiliopoulos
Contents Introduction to the plastic design of structures. Redistribution of forces. Ductility. Relation with the Codes of Practice. Step-by-step 1st order elastoplastic analysis of frames. Principle of virtual work. Lower and upper bound theorems of plastic collapse. Safe moment distribution. Collapse mechanisms. Holonomic and non-holonomic behavior. Mathematical programming. Kuhn-Tucker conditions. Linear programming. Simplex method. Mesh and nodal description. Static-kinematic duality. Flow rule. Stable materials. Rigid plastic behavior. Alternative linear programs of limit analysis. Uniqueness of limit load. Automatic limit load evaluation. Optimal plastic design. Automatic optimal plastic design using linear programming. Variable loading. Alternating plasticity. Incremental collapse. Shakedown. Residual stress. Melan’s theorem. Mesh-unsafe shakedown linear program and automatic shakedown load evaluation. Relation between limit and shakedown load. Inelastic dynamic analysis of MDOF systems. Seismic response of buildings. Ductility ratios. Pounding of buildings. Reference to approximate static methods (pushover, etc.). Practice with well-known software packages (SAP, Abaqus, etc.). Elastoplastic analysis with 2nd order effects. Large displacements. Geometric non-linear elastoplastic stiffness matrix. Arc-length method. Comparison of limit loads with and without 2nd order effects. Merchant-Rankine formula.
Examination written final exam. Final grade: 70% examination and 30% exercises & project.
Requirement for examination
No specific requirement
Learning outcomes The course addresses both the researcher and the practicing engineer. On successful completion, students will be able to:
have an in-depth understanding of the inelastic behavior of framed structures;
know the mathematical framework and the computational techniques of plastic analysis.
Critically assess the pertinent Codes’ requirements, since plasticity is the basis of all today’s Codes of Practice.
Module #54 ADVANCED STRUCTURAL DYNAMICS
Informations Credit Points : 5 ECTS
Workload : 50h
Mode : Elective module
Offered : 3rd semester
Institution in charge National Technical University of Athens
Instructors J. Katsikadelis
Contents Dynamic loads and dynamic models of structures. Methods of derivation of equations of motions for structural systems (Equilibrium of forces, principle of virtual displacements, Hamilton’s, principle, Langrage equations). Free and forced vibrations of SDOF systems. Numerical solution of the SDOF equation of motion (linear and nonlinear). Damping (viscous, Coulomb, structural, fractional). Discretization of continuous systems. Continuous systems exact and approximate methods. Generalized SDOF systems. Analysis in the frequency domain. Discretization of continuous systems. The finite element method for skeletal structures (plane and space trusses and frames). Rigid bodies in elastic structures. Axial constraints. Free vibrations of MDOF systems. Modal damping, proportional damping. Numerical evaluation of eigenfrequencies and mode shapes. Partially restrained structures. Forced vibrations of MDOF systems. The method of modal superposition. Modal participation, static correction method. Reduction of degrees of freedom (kinematic constraints, Ritz vectors). Support excitation. Response spectrum analysis (ABSSUM, CQC, SRSS). Nonlinear response of structures. Numerical solution of the equations of motion in time domain. Dynamic analysis of multi-story buildings. Base isolation.
Examination Written final exam. Final grade: 50% written examination, 30% exercises, 20% project.
Requirement for examination
Solution of the exercises, completion of the project
Learning outcomes The course addresses both the researcher and the practicing engineer. On successful completion, students will be able to:
To formulate the dynamic model of a given structure
To derive the equations governing its motion
To solve the equations of motion using numerical methods.
To establish the stress resultants due to the prescribed dynamic loading as well as their extreme values
To check the results obtained by available professional codes
Module #55 BOUNDARY ELEMENTS
Informations Credit Points : 5 ECTS
Workload : 50h
Mode : Elective module
Offered : 3rd semester
Institution in charge National Technical University of Athens
Instructors J. Katsikadelis
Contents Introduction. Boundary versus domain methods. Preliminary
Mathematical Knowledge. The Gauss-Green Theorem. The
Divergence Theorem of Gauss. Green’s Second Identity. The
Adjoint Operator. The Dirac Delta Function. Elements of Calculus of
Variations. Euler-Lagrange Equation. The BEM for Potential
Problems in Two Dimensions. Fundamental Solution. The Direct
BEM for the Laplace Equation and the Poisson Equation. The BEM
for Potential Problems in Anisotropic Bodies. Numerical
Implementation of the BEM. Evaluation of Line and Domain
Integrals. The Program LABECON for Solving the Laplace and
Poisson Equation. Domains with Multiple Boundaries. The Program
LABECONMU for Domains with Multiple Boundaries. The Method of
Subdomains. Boundary Element Technology. Linear Elements.
Higher Order Elements. Near-Singular Integrals. Application to the
Torsion of Noncircular Bars, Deflection of Elastic Membranes,
Bending of Simply Supported Plates, Heat Transfer Problems, Fluid
Flow Problems. The BEM for Two-Dimensional Elastostatic
Problems. The Dual Reciprocity Method. The Analog Equation
Method. Solution of the General Second Order Elliptic Partial
Differential Equation. The BEM for Coupled Second Order Partial
Differential Equations. The BEM for Time Dependent Problems. The
BEM for the General Second Order Parabolic and Hyperbolic Partial
Differential Equation. Applications. The BEM for Nonlinear
Problems. The Nonlinear Potential Equation. Coupled Nonlinear
Equations. Applications.
Examination Written final exam. Final grade: 50% written examination, 30% exercises, 30% project.
Requirement for examination
Delivery of the solved exercises, completion of the project
Learning outcomes The course addresses both the researcher and the practicing engineer. On successful completion, students will be able to:
Learn the BEM as a computational method
Solve potential problems described by the Laplace and Poisson equation using the BEM.
Solve linear and nonlinear problems, both static and dynamic, described by second order partial differential equations using the BEM
Module #56 LOAD CARRYING BEHAVIOR OF STRUCTURAL SYSTEMS
Informations Credit Points : 5 ECTS
Workload : 50h
Mode : Elective module
Offered : 3rd semester
Institution in charge National Technical University of Athens
Instructors L. Stavridis
Contents The influence of creep on the behavior of concrete structural systems. The use of prestressing and its influence on the load carrying capacity of concrete structures. The concept of pressure line and its application to frame and arch roofing structures. Behavior of multistory frames under lateral static loading. Stability and the influence of II-order effects on laterally loaded beams and frames under axial compression. Arch structures. Cables and cable roof structures. Suspension, prestress-ribbon and cable-stayed systems. Load carrying behavior of flat plates using also prestressing. Thin shell structural systems. Torsional behavior of thin walled beams subjected to warping with undeformable profile. Torsional behavior of rectilinear and curved single-cell box girders with deformable profile. Response of spatial systems of buildings under lateral and temperature loading.
Examination Written final exam. Final grade: 70% examination and 30% exercises
Requirement for examination
No specific requirement
Learning outcomes The course addresses both the master degree student and the practicing engineer. On successful completion, students will be able to:
Have a clear understanding of the load carrying behavior of the various structural systems
Perform a successful conceptual design for wide span roofing structures and bridges.
Check and validate the structural analysis results gained by computer programs used in the design practice.
Make critical assessment and possible adjustments in the application of pertinent Codes of Practice.
Module #57 APPLIED STRUCTURAL ANALYSIS OF FRAMED AND SHELL STRUCTURES
Informations Credit Points : 5 ECTS
Workload : 50h
Mode : Elective module
Offered : 3rd semester
Institution in charge National Technical University of Athens
Instructors E. Sapountzakis
Contents The Displacement Vector and Strain Components of a Particle of a Body. Implication of the Assumptions of Small Deformation. Traction and Components of Stress Acting on a Plane of a Particle of a Body. Strain and Stress Tensors. Components of Displacement for a General Rigid Body Motion of a Particle. The Compatibility Equations. The Requirements for Equilibrium of The Particles of a Body. Constitutive Relations. Boundary Value Problems for Computing the Displacement and Stress Fields of Solid Bodies on the Basis of the Assumption of Small Deformation. Prismatic Body under Axial Loading. Prismatic Body under Bending Loading. Fundamental Assumptions of the Theories of Mechanics of Materials for Line Members. Internal Actions Acting on a Cross Section of Line Members. Action Equations of Equilibrium for Line Members. The Classical Theory of Beams. The Timoshenko Beam Theory. Computation of Shear Center Position. Uniform Shear Beam Theory. Computation of Shear Stresses. Computation of Shear Deformation Coefficients (required for Timoshenko Beam Theory). Nonuniform Shear of Beams. Displacements, Strains, Stresses. Stress Resultants, Global Equilibrium Equations, Boundary Conditions. Shear Warping Function, Local Equations of Equilibrium. Nonuniform Torsion of Bars, Displacements, Strains, Stresses. Stress Resultants, Equilibrium Equation, Boundary Conditions. Generalized Warping beam theory. Shear and torsion Warping Functions, Local Equations of Equilibrium. Distortion beam theory. Displacements, Strains, Stresses. Stress Resultants, Global Equilibrium Equations, Boundary Conditions. Shear and torsional Warping and Distortional Functions, Local Equations of Equilibrium. Axial warping. Buckling of beams.
Examination Written final exam. Final grade: 70% examination and 30% exercises.
Requirement for examination
No specific requirement
Learning outcomes The course addresses both the researcher and the practicing engineer. On successful completion, students will be able to:
Apply theory of elasticity for the study of boundary value problems (e.g. Axial Loading, Prismatic Body under Bending Loading);
Extract equation of equilibrium of a Line Member subjected to Axial Centroidal Forces, of Classical Beam Theory and of Timoshenko Beam Theory;
Understand Nonuniform Shear, Nonuniform Torsion,
Generalized Warping, Axial Warping, Distortion Beam Theories, Buckling of Beams.
Module #58 NON-LINEAR FINITE ELEMENT ANALYSIS OF STRUCTURES
Informations Credit Points : 5 ECTS
Workload : 50h
Mode : Elective module
Offered : 3rd semester
Institution in charge National Technical University of Athens
Instructors K. Spiliopoulos, V. Papadopoulos, M. Papadrakakis
Contents Path dependent materials. The incremental finite element (FE) method. The Newton-Raphson scheme. The consistent tangent modulus. Review of J2 metal plasticity issues. Yield criteria. Plastic flow rule. Perfect Plasticity. Isotropic and kinematic hardening. Elastic predictor/plastic corrector step. Closest point projection. Return mapping algorithms. Introduction to limit and shakedown states. Direct methods. Concrete inelasticity. Smeared Cracking. 3D FE nonlinear analysis of concrete structures. Geometric nonlinearity. Review of various Continuum Mechanics Issues. Deformation gradient. Alternative stress and strain measures. Total and updated incremental Lagrangian formulations. Linearization of equilibrium equations. Incremental-iterative solution methods for the static and dynamic nonlinear equilibrium equations. Path-following strategies with line search and arc length techniques. Geometrically nonlinear isoparametric continuum finite elements. Multiscale analysis in the frame of material and geοmetric nonlinearities. Applications using well-known nonlinear finite element software.
Examination written final exam. Final grade: 70% examination and 30% exercises & project.
Requirement for examination
No specific requirement
Learning outcomes The knowledge of safeguarding against any kind of failure is very important, as structures nowadays, for better efficiency, are being pushed to be able to operate under extreme loading conditions. On successful completion, graduates will be able to:
have a good understanding of the of inelastic behavior of the continuum structures
have a good understanding of the geometric nonlinear effects on the structures
know the numerical treatment of the geometric and material nonlinearity within the framework of the finite element method
Module #59 STOCHASTIC FINITE ELEMENTS
Informations Credit Points : 5 ECTS
Workload : 50h
Mode : Elective module
Offered : 3rd semester
Institution in charge National Technical University of Athens
Instructors V. Papadopoulos
Contents Stochastic process theory. Review of random variables, cumulative distribution function, probability density function, statistical moments. Introduction to stochastic processes and fields. Mean, autocorrelation and spectral density functions. Analysis in the frequency domain. Definition of simple Gaussian and non-Gaussian processes. Uncertainty quantification. Representation/discretization of stochastic processes and fields: Point discretization methods, Local Average discretization methods, series representation methods. Simulation of stationary Gaussian stochastic processes and fields: Spectral representation method and Karhunen-Loeve expansion. Formulation and solution of the stochastic finite element method (SFEM): Stochastic virtual work approach. Available analytic solutions - Variability Response Function approximations. Approximate non- intrusive Monte Carlo SFEM methods: Derivation of stochastic stiffness matrices for a class of finite elements. SFEM formulation in the context of non- intrusive Monte Carlo methods. Introduction to Spectral Stochastic Finite element method. Basic Reliability Analysis. Monte Carlo, FORM and SORM and Response Surface methods. Variance reduction techniques. Computer applications on real structures.
Examination Written final exam. Final grade: 70% examination and 30% exercises & project.
Requirement for examination
No specific requirement
Learning outcomes The course addresses both the researcher and the practicing engineer. On successful completion, students will be able to:
have an in-depth understanding of the stochastic process theory and simulation methods;
know the mathematical framework and the computational techniques of uncertainty quantification using finite elements.
Critically assess the pertinent Codes’ requirements, from the point of view of stochastic and reliability analysis of structures.
Module #60 THEORY OF SHELLS
Informations Credit Points : 5 ECTS
Workload : 50h
Mode : Elective module
Offered : 3rd semester
Institution in charge National Technical University of Athens
Instructors V. Koumousis
Contents Introduction to shell structures. An historical overview. Basic
elements of differential geometry. Space curves, parametric
representation. Surfaces as grid of families of space curves. First
fundamental form. Applications. Assumptions of thin shell theories.
Stress resultants per unit length. Equilibrium Equations. The general
initial and boundary value problem of theory of shells. Statical
indeterminacy of general problem. Membrane theory. Cylindrical
shells. General solution for the statically determinate problem.
Strains and displacements. Applications. Use of symbolic language
i.e. Maple or Mathematica for the solution of cylindrical shells for
various loading cases and support conditions. Membrane theory of
conical shells. Equilibrium equations. General solution. Applications.
Use of symbolic language i.e. Maple or Mathematica for the solution
of conical shells for various loading cases and support conditions.
Membrane theory of Shells of revolution. Equilibrium equations.
General solution for axisymmetric loading cases. Spherical Shell.
Hyperbolic shells. Applications for open or closed spherical shells.
Shells of revolution for arbitrary loading. Fourier series solution,
symmetric and antisymmetric cases. Differential geometry notion of
curvature. Second fundamental form. Gauss-Godazzi conditions.
Bending theory of cylindrical shells. Donnell theory. Applications for
cylindrical shells with different boundary conditions. Comparison
with numerical solutions with finite element method. Design
provisions of Eurocode 3 for steel thin shell structures.
Examination written final exam. Final grade: 70% examination and 30% homework & project.
Requirement for examination
No specific requirement
Learning outcomes The course addresses both the graduate student and the practicing engineer. On successful completion, students will be able to:
have an in-depth understanding of the elastic behavior of shell structures under different loading and boundary conditions.
know the mathematical framework and the computational challenges of shell analysis.
Module #61 STRUCTURAL OPTIMIZATION
Informations Credit Points : 5 ECTS
Workload : 50h
Mode : Elective module
Offered : 3rd semester
Institution in charge National Technical University of Athens
Instructors N. Lagaros
Contents Introduction to structural optimization. Definitions formulations and simple examples of structural optimization problems. Optimality criteria – problems with no constraints (unimodal and multimodal functions). Optimality criteria – problems with constraints (Introduction to Lagrange multipliers, KKT conditions). Linear Programming (Introduction, Duality, Simplex Algorithm, examples). Linear Programming (Engineering problems, plastic design of minimum weight). Non-Linear Programming (Gradient methods). Non-Linear Programming (Condition number, diagonal solving, Newton’s method). Metaheuristics / Derivative free algorithms. Laboratory class PC (at the PC lab). Formulations of structural optimization problems (Sizing, Shape & Topology optimization). Multi-objective optimization problems & Generic Algorithms. Sizing structural optimization problems. Shape & Topology structural optimization problems.
Examination Written final exam. Final grade: 70% examination and 30% exercises & project.
Requirement for examination
No specific requirement
Learning outcomes The course addresses both the researcher and the practicing engineer. On successful completion, students will be able to:
Have an in-depth understanding of the problem formulations of the three types of structural optimization problems;
Know the mathematical background and the computational implementation of the search algorithms used for solving this type of problems.
Critically assess problem formulations obtained from the industry.
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