Module Handbook of the Erasmus Mundus Master 'Structural ...

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


Workload : 50h

Mode : compulsory



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.






eigenvectors; Demonstrate an awareness of common mathematical themes underlying different areas of mathematics (such as that of linearity).

Module #3 CONTINUUM MECHANICS


Workload : 50h

Mode : compulsory



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.





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


Workload : 50h

Mode : compulsory



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.








Module #5 DYNAMICS AND VIBRATIONS


Workload : 48h

Mode : compulsory



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.








Module #6 EXPERIMENTAL MECHANICS


Workload : 56h

Mode : compulsory



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.








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


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.



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


Workload : 60h

Mode : Compulsory



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.



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


Workload : 60h

Mode : Compulsory



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.



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


Workload : 52,5h

Mode : Compulsory



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



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


Workload : 60h

Mode : Compulsory



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.



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


Workload : 52,5h

Mode : Compulsory



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



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.



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


Workload : 50h

Mode : Compulsory


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



Learning outcomes The course aims providing with the knowledge necessary for the seismic design of structures.

Module #36 STELL STRUCTURES


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).



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


Workload : 50h

Mode : compulsory



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.




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


Workload : 50h

Mode : Compulsory



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.




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


Workload : 50h

Mode : Compulsory



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.




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


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.



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


Workload : 60 h

Mode : Compulsory



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



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


Workload : 60 h

Mode : Compulsory



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



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


Workload : 60h

Mode : Compulsory



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



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


Workload : 60 h

Mode : Compulsory



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%).



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


Workload : 60h

Mode : Compulsory



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.



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


Workload : 50h

Mode : Elective modules



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


Written exam

Learning outcomes Proficiency with theoretical backgound and computing techniques

Module #25

GEOMATERIALS AND POROUS MEDIA


Workload : 50h

Mode : Elective modules



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


Written exam

Learning outcomes Proficiency with theoretical background and skill for engineering applications

Module #26

Rubbing contact: coupling and multiscale effects


Workload : 50h

Mode : Elective module



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



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


Workload : 50h




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



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


Workload : 50h




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




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


Workload : 50h




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




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


Workload : 45h




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.




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


Workload : 46h




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.




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


Workload : 46h




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.


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


Workload : 50h

Mode : Compulsory



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.




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


Workload : 50h

Mode : Compulsory



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.




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


Workload : 75h

Mode : compulsory



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.




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


Workload : 75h

Mode : Compulsory



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.




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


Workload : 60h




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.


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


Workload : 60h




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.




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


Workload : 60h




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%.



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


Workload : 60h




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.




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)


Workload : 60 h




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%.



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


Workload : 60h




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.




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


Workload : 60h




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%.



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


Workload : 90h




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



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)


Workload : 45h




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



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)


Workload : 45h




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



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


Workload : 60h

Mode : Compulsory



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)



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.



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


Workload : 60h

Mode : Compulsory



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.



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


Workload : 60h

Mode : Compulsory



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%.



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


Workload : 60h

Mode : Compulsory



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



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


Workload : 60h

Mode : Compulsory



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



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


Workload : 50h

Mode : Compulsory



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.



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


Workload : 50h



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.



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


Workload : 50h




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.


Solution of the exercises, completion of the project


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


Workload : 50h




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.


Delivery of the solved exercises, completion of the project


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


Workload : 50h




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



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


Workload : 50h




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.




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


Workload : 50h




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.



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


Workload : 50h




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.




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


Workload : 50h




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.



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


Workload : 50h




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.




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.

Module Handbook of the Erasmus Mundus Master 'Structural ...

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