Validation of the Simulation of CompositesASTM D3518 [45/-45] 4s 3 2 6 0 Compression ASTM D6641 [0]...
Transcript of Validation of the Simulation of CompositesASTM D3518 [45/-45] 4s 3 2 6 0 Compression ASTM D6641 [0]...
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Framework for the Calibration and Validation of Multiscale Material Models
Jeffrey Wollschlager, Altair Engineering Megan Lobdell, DatapointLabs Hubert Lobo, DatapointLabs
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Outline
Rationale • Multi-scale material models are used to simulate behavior of
composite materials. • It is possible to predict:
• performance of layups from single layer properties • performance of these composites under complex loadings
Work Plan • Multi-scale MDS model is calibrated for UD composites • MDS is used to simulate different kinds of layups. • Manufactured layups are tested and compared to simulation in a
validation step which provides a measure of the solution accuracy.
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What do we mean by Multiscale?
Example Unidirectional Carbon Fiber Reinforced Plastics (CFRP)
3
Scale1 (σFiber/Matrix)
Scale0 (σMicroStructure)
Matrix Fiber
Scale3 (σLaminate) Scale2 (σPly)
courtesy of Jeff Wollschlager/Altair Engineering
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Forward Homogenization Given Matrix Linear Properties (Em, νm, …) and Fiber Linear Properties (E1
f, E2f, …)
Calculate the Homogenized Linear Properties (E1, E2, …)
+ =
Forward
Linear Elastic Properties
Ultimate Failure
Strain
Stre
ss
Fiber Behavior
[𝐶𝐶]𝑓𝑓
Linear Elastic
Properties
Nonlinear Inelastic Properties
Ultimate Failure
Strain
Stre
ss
Matrix Behavior
[𝐶𝐶]𝑚𝑚
Linear Elastic
Properties
Nonlinear Inelastic Properties
Ultimate Failure
Strain
Stre
ss
Homogenized Behavior
[𝐶𝐶]
mmff VEVEE += 11
courtesy of Jeff Wollschlager/Altair Engineering
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strengthening the materials core of manufacturing enterprises
Linear Elastic
Properties
Nonlinear Inelastic Properties
Ultimate Failure
Strain
Stre
ss
Homogenized Behavior
[𝐶𝐶]
Linear Elastic
Properties
Nonlinear Inelastic Properties
Ultimate Failure
Strain
Stre
ss
Matrix Behavior
[𝐶𝐶]𝑚𝑚
Linear Elastic Properties
Ultimate Failure
Strain
Stre
ss
Fiber Behavior
[𝐶𝐶]𝑓𝑓
Inverse Characterization Given Homogenized Linear Properties (E1, E2, …) and the Matrix Linear Properties (Em, νm, …) Calculate the Fiber Linear Properties (E1
f, E2f, …)
f
mmf
V
VEEE
−= 1
1
− =
Inverse
courtesy of Jeff Wollschlager/Altair Engineering
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Polymer Matrix Material Behavior
Two critical modes of polymer matrix behavior need to be characterized for Unidirectional Product Form
1. Matrix Brittle Behavior [90] Tension σmean, J1 2. Matrix Ductile Behavior [45/-45] Tension σy, σ1, δ, H
Matrix Ductile Behavior
E
H
σy
σ1 δ
Matrix Normal Strain
Mat
rix N
orm
al S
tress
Matrix Brittle Behavior
K
(σmean,J1)
Matrix Volumetric Strain (J1)
Mat
rix M
ean
Stre
ss (
σ mea
n) σmean = K ∗ J1
K =𝐸𝐸
3(1− 2𝑣𝑣)
σmean = 13
(𝜎𝜎1 + 𝜎𝜎2 + 𝜎𝜎3)
𝐽𝐽1 = 𝜀𝜀1 + 𝜀𝜀2 + 𝜀𝜀3
courtesy of Jeff Wollschlager/Altair Engineering
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Carbon Fiber Material Behavior
Two critical modes of carbon fiber behavior need to be characterized for a Unidirectional Product Form
1. Fiber Brittle Behavior [0] Tension σt, εt
2. Fiber Instability Behavior [0] Compression σc, εc
Fiber Brittle Behavior
(σt, εt)
Fiber Axial Strain
Fibe
r A
xial
Stre
ss
Et
Fiber Instability Behavior
(σc, εc)
Fiber Axial Strain
Fibe
r A
xial
Stre
ss
Ec
courtesy of Jeff Wollschlager/Altair Engineering
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Multiscale Material Model Development Test Matrix
Test Test Standard
Layup Specimens per
Panel
Total Panels
Total Specimens
0 Tension ASTM D3039 [0]8 3 2 6
90 Tension ASTM D3039 [90]16 3 2 6
[45/-45] Tension ASTM D3518 [45/-45]4s 3 2 6
0 Compression ASTM D6641 [0]16 3 2 6
90 Compression ASTM D6641 [90]16 3 2 6
[90/0] Tension * ASTM D3039 [90/0]2s 3 2 6
[90/0] Compression * ASTM D6641 [90/0]4s 3 2 6
[50/40/10] * OHT
ASTM D5766 [-45/02/45/90 /45/02/-45/0]s
3 2 6
Totals 16 48
*Used for validation
Tested T700/2510 UD Carbon Fiber Composite
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Calibration Tests 0̊̊ deg. Tension
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Calibration Tests- 90̊̊ Tension
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Calibration Tests [45/-45] Tension
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Calibration Tests 0̊̊ Compression
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Calibration Tests 90̊̊ Compression
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Simulation Comparison [90/0] Tension
90-Ply Brittle Matrix Damage (2-Dir)
0-Ply Brittle Matrix Damage (1-Dir)
0-Ply Fiber Axial Tension
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Simulation Comparison [10/80/10] Tension
45-Ply Ductile Matrix Plasticity
90-Ply Brittle Matrix Damage (2-dir)
90-Ply Axial Fiber Compression
0-Ply Axial Fiber Tension
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Simulation Comparison [90/0] Compression
0-Ply Fiber Axial Compression
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strengthening the materials core of manufacturing enterprises
Simulation Comparison [10/80/10] Compression
45-Ply Ductile Matrix Plasticity
0-Ply Axial Fiber Compression
45-Ply Ductile Matrix Eq. Plastic Strain Limit
90-Ply Axial Fiber Compression
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strengthening the materials core of manufacturing enterprises
Simulation Comparison [10/80/10] Compression
45-Ply Ductile Matrix Plasticity
0-Ply Axial Fiber Compression
45-Ply Ductile Matrix Eq. Plastic Strain Limit
90-Ply Axial Fiber Compression
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strengthening the materials core of manufacturing enterprises
Simulation Comparison [50/40/10] Compression
45-Ply Ductile Matrix Plasticity
0-Ply Axial Fiber Compression
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strengthening the materials core of manufacturing enterprises
Simulation Comparison [50/40/10] Compression
45-Ply Ductile Matrix Plasticity
0-Ply Axial Fiber Compression
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Open Hole Tension ( [50/40/10] Video)
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Simulation Comparison [50/40/10] Open Hole Tension
Multiscale
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Shear Strain DIC Comparison
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Summary Chart- UNT
UNT Modulus
UNT Strength
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Summary Chart - UNC
UNC Modulus
UNC Strength
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Summary Chart: OHT/OHC Strength
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Summary
• We have a methodology to calibrate multiscale scale material models for unidirectional composite materials
• Using that model we can validate more complex layups • Both the stress-strain curves and the moduli, strength, and failure
strain correlate well • The damage modes are over exaggerated due to how the failure
criteria are imposed in the simulation • Can also validate OHT experiment [50/40/10] layup
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End
Thank You