Composites Analysis
Transcript of Composites Analysis
MSC Software Confidential
Composites Analysis In Summa Ultimate Innovation Day 2012
Presented By: Andrew Main
October 8, 2012
MSC Software Confidential
INTRODUCTION Composite trends
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Composite Trends
Boeing 787 Airbus A350
Bombardier C Series
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Composite Trends
McLaren F1 Hypercar Launched 1992 Cost $970K
Mercedes-Benz SLR Sports car Market Launch 2003 500 units p.a. for 7 years Carbon fibre bodywork & monocoque Price c. $450K
McLaren MP4-12C Launched 2010 $229k
Mass Production Methods Bumpers, panels…? Lower temperature
thermoplastic resins Press forming (e.g. Hexcel
HexMC ® )
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Composite Trends
● Wind Turbine Blade
● Up to 60 80 m long
● (and still growing)
● Cost reduction
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Composite Trends
● Tennis rackets
● Bicycle frames and wheels
● Prosthetic limbs
● Golf clubs
● Kayaks
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MSC Composite Product Overview
CATIA CPD
Fibersim
“Pre and Post Processing”
“Solvers”
Patran/
Laminate Modeler
SimXpert
MSC Marc
MSC Dytran
Nastran
Sol 700
Sol 400
C
A
D
…And our
latest arrival
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Classical Analysis Solutions
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MSC.Patran
• Open Architecture – Imports from most standard CAD
systems • IGES, STEP, ACIS, PRO/E,
CATIA, STL, PARASOLID, UNIGRAPHICS
– Exports to most common FE solvers • MSC.Nastran, MSC.Marc,
MSC.Dytran, MSC.Actran, LS-DYNA, ABAQUS, ANSYS, SAMCEF, PAMCRASH
• Fully featured pre and Post-Processing
• Customisable via Patran Command Language (PCL)
• Creation of composite properties
• Post-processing composite results
• Support for shell and solid composite elements.
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• Advanced Composites modelling tool, plug-in for Patran.
• Draping • Interfaces to Design and
Manufacture
• Model Checking tools
– What is the local layup?
• Advanced post-processing
– What is reserve factor or margin of safety of structure?
– What is the failure mode?
– Which ply is failing?
Laminate Modeler
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Laminate
Modeler
DESIGN
MANUF-
ACTURE
ANALYSIS
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• Simulation of placing
material onto mould
• Material forms on mould by
shearing.
– Excessive shear shows in red.
This shows a manufacturing
problem
– Splits can be introduced to
reduce shear
• Flat patterns can be exported
to cutting machines
• Draped patterns can be
exported to Virtek Laser-
edge projection system
Laminate Modeler Draping
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Laminate Modeler Model creation
• Create list of plies in
order of manufacture
• Laminate Modeler
converts this into
properties
• Each element has
properties according to
draping of individual
plies on that element
• Creates higher quality
models capturing reality
more accurately
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SimXpert
• Pre-post processor with strong process automation capability
– Graphical programming interface
– Programmable using Python
– Interfaces through Python to Microsoft Excel
• Composite property editor
• Composite verification
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• FiberSIM/SimXpert interoperability
– SimXpert used for FEM model definition (mesh,properties, LBC, analysis setup)
– FiberSIM creates composite layup using various methods • Zones
• Plies
• Connection of programs needed to map element properties from SimXpert to FiberSIM and to import detailed layup definitions from FiberSIM to SimXpert
SimXpert - FiberSim Bi-directional Transfer
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SimXpert
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Solvers
• Nastran
– SOL <=200
• Solutions based on classical laminate theory
• Fast
• Statics, dynamics, optimisation
• Shell elements only
– SOL 400
• Advanced composites based on full integration of layers
• Not as fast
• Shells, solids and “solid shells”
• Advanced failure modelling
– SOL 700
• Explicit solver
• Composite impact modelling
• Marc
– More non-linear options
– Coupled thermal, structural,
chemical spring-back modelling
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Shell
element
Solid
element
Solid Shell
element
Layered
Composite
definition
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E-Xstream digimat
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• Prediction of properties of
a composite material from
its constituent parts
– Stress/strain
relationships
– Failure prediction at
microscopic level
– Failure prediction using
standard theories
• Prediction of sandwich
panel properties and
failure prediction
• Prediction of composite
SN fatigue curves
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Going Beyond First Ply Failure
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• Disastrous failure of several De
Havilland Comet airliners in 1950’s
due to progressive fatigue crack
growth.
– Lack of appreciation of problem
• Composite materials do not fail in
same manner as a metal.
– We need to understand progressive
failure to ensure we have no
composite Comets!
– First ply failure may not be enough.
This does not allow analysis of
existing flaws or damage.
Why?
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• Standard failure models used to predict ply failure
• If a ply fails
– the modulus of the ply is multiplied by 0.01 (Default) to “disable”
the ply. (Immediate failure)
– Stiffness is reduced so that Failure Index = 1.0 (Gradual failure)
• Choice of immediate or gradual depends on material
Progressive Failure Analysis (PFA)
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• Select a failure criterion
– Maximum stress
– Maximum strain
– Hill
– Hoffman
– Tsai-Wu
– Hashin
– Hashin-Fabric
– Hashin-Tape
– Puck
– User defined
Progressive Failure Analysis (PFA)
• Puck distinguishes between fiber and
matrix failure
– 5 failure modes
• 2 fiber and 3 matrix
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Going Beyond First Ply Failure
• Answer basic questions about the design
– What lies beyond FPF?
– Is FPF associated with abrupt failure?
– How is the stress re-distributed over adjacent plies and/or adjacent elements after a ply
failure?
– How far is FPF from Last Ply Failure?
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Total damage at 50% applied displacement Total damage at 60% applied displacement Total damage at 70% applied displacement Total damage at 80% applied displacement Total damage at 90% applied displacement Total damage at 30% applied displacement Total damage at 40% applied displacement
FPF
30%
40%
50%
60%
70%
80% 90%
Tip Displacement
Tip
Forc
e
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Gradual Versus Immediate Degradation
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VCCT CZM
Modelling Delamination
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• In linear fracture mechanics, a crack starts to grow
when
– Total G > Gc
– G is the energy release rate
– Gc is the fracture toughness
• VCCT is one of the methods used to compute the
energy release rate.
VCCT
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Energy release rate:
G = Fu/2a
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VCCT
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line crack – 2D or shell face crack – shell to shell face crack – 3D solid
line crack – shell edge to solid or shell face crack – shell to solid
• Supported in both Marc and Nastran
• Supported crack types are shown below
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• All three modes of crack extension are supported
Modes of Crack Extension
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Mode I:
Opening
Mode II:
Sliding
Mode III:
Tearing
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VCCT Example – Buckling Delamination
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F
F
• 4-Ply Composite
modeled with 2
layers of solid
elements
• Defect between
3rd and 4th ply
• Glue parts
together, except
at defect
Circular defect
Compressive loading
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VCCT Example – Buckling Delamination
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VCCT Example – Buckling delamination
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Top view
Arrows show
local x
direction of
crack tips
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Cohesive Zone Modeling (CZM)
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• Why?
• VCCT gives a brittle failure
• Most resins behave in a visco-elastic way
• The implementation of CZM is based on:
• Library of special interface elements
• Material model to characterize the interface behavior
Interface Element
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Cohesive Zone Modeling (CZM)
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• Material models
• Bilinear
• Exponential
• Linear-exponential
• Material behavior
• Initially reversible
• Irreversible if v > vc
bottom face
1
2
3
4
5
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7
8 top face
s
n
t top and bottom
face may coincide (zero thickness)
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CZM – Example
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• Finite element model:
– Mesh plates and adhesive layer independently using
higher order elements
– Utilize the contact option to glue the adhesive layer
to the plates
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CZM – Example
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Even Further Beyond...
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VCCT Example – Crack Bifurcation
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• Growth through composite skin with stiffeners
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VCCT Example
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Delamination with CZM
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• Automatic insertion of cohesive elements
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A Practical Example In Collaboration with
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Motivation For Analysis and Test
Problem Description
Stress in Thickness
Direction lead to early
failure
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Analytical Calculation ASTM D 6415-06a STM for Measuring the Curved Beam Strength of a FRPMC
Solution developed by Lekhnitskii
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r
r
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E
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2 2
1 12 2
2 2
1 11
2 1 1 1 1g
MM
rori
srst
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MCBS
1 11 1
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2 2 2
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m or
o o m
r rCBS
r g r r
s
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Test Results
(±452f / 02 / 90)s
Shear Failure
(02 / ±452f / 90)s
Unfolding
(±456f)
Unfolding
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Example Correlation From Analysis To Test
• Red Line is analytical result
• Other lines are test results
• Dotted lines show scatter from test
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Analytical Results From Nastran
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Frame from analysis showing full
loading on angle section with
delaminations in corner
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Conclusions
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• What is the future of composites?
– We don’t know
– We may correctly predict trends
– There may be new innovations we do not predict
• What can we do?
– Partner with organisations doing practical research
• UK National Composites Centre
• DLR
– Keep innovating
The Future…
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