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An overview of Carbon Fiber
modeling in LS-DYNA
John Zhao
zhao@lstc.com
October 23th 2017
Continuous fiber
reinforced polymers
(glass/carbon/PA/PP/EP)
Short-/long fiber
reinforced polymers
(glass/PP)
Outline
 Manufacturing of Carbon Fiber
 Compression molding
• *MAT_277 & 278
• *MAT_293
• *MAT_249
 Resin transform molding
 Short chopped fiber
 Crash application of Carbon Fiber
 Continuous fiber
• *MAT_054 & 058
• *MAT_261 & 262
 Short chopped fiber
• *MAT_157
Collaboration
 *MAT_ADHESIVE_CURING_VISCOELASTIC (277)
• DOW chemical
• FORD
 *MAT_COMPRF (293)
• FORD
• Northwestern university
 *MAT_REINFORCED_THERMOPLASTIC (249)
• BMW
 *MAT_LAMINATED_FRACRURE_DAIMER_PINHO (261)
*MAT_LAMINATED_FRACTURE_DAIMER_CAMANHO (262)
• Mercedes
 *MAT_ANISOTROPIC_ELASTIC_PLASTIC with IHIS for short fiber
• OPEL
Manufacturing of Carbon Fiber
 Compression molding of thermoplastic pre-preg
 Epoxy resin curing is modeled by *MAT_277 (Dow chemical)
 Woven fabric part can be modeled by *MAT_234 & 235
heating positioning forming cooling final part
Manufacturing of Carbon Fiber
 *MAT_ADHESIVE_CURING_VISCOELASTIC (277)
Curing Kinetics
Thermal Expansion Chemical Shrinkage Stress Relaxation
𝑑𝛼
𝑑𝑡
= (𝐾1 + 𝐾2𝛼𝑚
)(1 − 𝛼) 𝑛
𝐾1 = 𝑘1exp
−𝑐1
𝑅𝑇
, 𝐾2 = 𝑘2exp
−𝑐2
𝑅𝑇
𝜀𝑖𝑗
𝑡ℎ
= 𝛽(𝛼, 𝑇)𝛿𝑖𝑗𝑑𝑇
𝑇
𝑇0
𝛽 𝛼, 𝑇 = 1 − 𝛼 𝛽0
𝑇 + 𝛼𝛽1
𝑇
𝜀𝑖𝑗
𝑐ℎ
= 𝛾(𝛼, 𝑇)𝛿𝑖𝑗𝑑𝛼
𝛼
0
𝛾 𝛼 = 𝐴𝛼2
+ 𝐵𝛼 + 𝐶
𝐺 𝑡 = 𝐺∞ + 𝐺𝑖exp⁡
(−𝛽𝑖
𝐺
𝑡)
𝑁
𝑖=1
log 𝛼𝐻 = −𝐶1(𝑇 − 𝑇ref) (𝐶2 + 𝑇 − 𝑇ref)
Manufacturing of Carbon Fiber
 *MAT_ADHESIVE_CURING_VISCOELASTIC
• Single element test case
• Initial curing degree set to be 0
• Applied temperature boundary condition
• Applied displacement boundary condition
• Simulate complete compression molding process
Manufacturing of Carbon Fiber
 *MAT_ADHESIVE_CURING_VISCOELASTIC
Manufacturing of Carbon Fiber
 *MAT_ADHESIVE_CURING_VISCOELASTIC
Manufacturing of Carbon Fiber
 *MAT_ADHESIVE_CURING_VISCOELASTIC
𝜎𝑥𝑥 history plot
Manufacturing of Carbon Fiber
 *MAT_MICROMECHANICS for continuous woven pre-preg
• Consists both loose fabric and epoxy resin
• Models fiber reorientation due to mechanical deformation and resin curing
• Viscoelastic properties of epoxy resin are functions of curing degree
R
ep
resen
tativ
e
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o
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me C
ell
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y
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-
c
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l
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V
x
y
z
1
2
3




Manufacturing of Carbon Fiber
 *MAT_278 single dome preforming simulation
 Fiber original orientation 0°/90° vs 45°/-45°
Testing Fiber
Orientation
Manufacturing of Carbon Fiber
 *MAT_278 single dome preforming simulation
Fiber original orientation 0°/90°
Manufacturing of Carbon Fiber
 *MAT_278 single dome preforming simulation
Fiber original orientation 45°/-45°
Manufacturing of Carbon Fiber
 *MAT_293 (Northwestern University, Ford)
Stress caused by stretch in
fiber directions:
Experiment: uniaxial tension
Or
RVE: tension stiffness data
Stress caused by fiber-fiber
angle change:
Experiment: bias-extension
Or
RVE: shear stiffness data
Combine the two stress:
Implement the stresses as
functions of fiber stretch
and rotation into the user
defined material.
Manufacturing of Carbon Fiber
 *MAT_293
Non-orthogonal stress calculation is included in the flowchart.
After shear locking, the stress calculation algorithm is converted.
Deformation
gradient
tensor F
Fiber directions
and angle
Fiber angle <
Shear locking angle
βlock
Before
locking
Stress caused by
fiber rotation
Stress caused by
fiber stretch
After
locking
Stiffened shear
stress caused by
fiber contact
Total stress before
locking
Total stress after
locking
Yes
No
βlock
Bias-extension test specimen.
Shear stress evaluation:
𝑑𝜎𝑋𝑌
𝑚
= 𝑑𝜎𝑌𝑋
𝑚
= 𝐸 ∙ 𝑑𝜀𝑋𝑌
𝐸: transverse⁡compression⁡modulus.
Manufacturing of Carbon Fiber
 *MAT_293
Strain (fiber stretch)-stress curve from
uniaxial tension tests.
Uniaxial tension tests demonstration1.
Manufacturing of Carbon Fiber
 *MAT_293
Shear angle-stress curve from
bias-extension tests.
Bias-extension tests demonstration1.
Manufacturing of Carbon Fiber
 *MAT_293
Bending shape comparison at 70 ºC for bending
stiffness reverse calculation.
Bending tests demonstration.
MAT_COMPRF (MAT_293) input deck.
Manufacturing of Carbon Fiber
 *MAT_293
• Simulation was performed on LS-DYNA with corresponding fiber orientations and boundary
conditions.
• Prepreg-prepreg interaction: static/dynamic friction factor=1.9.
• Prepreg-tool interaction: static/dynamic friction factor=0.2.
Double-dome simulation setup.
Punch, rigid, Belytschko-Tsay
shell, disp=89 mm
Binder, rigid, Belytschko-Tsay
shell, disp=0.06 mm
Composite, MAT_293, 3.8mm
X 3.8mm fully integrated shell
elements (Material unitcell
side length is 9.2 mm)
Die, rigid, Belytschko-Tsay shell
Manufacturing of Carbon Fiber
 *MAT_293
• The prediction capability of the material model is validated on the basis of one-
direction draw-in distance and fiber angle distribution.
Single layer double dome simulation and experiment
results comparison for draw-in distance and yarn angle
validation.
experiment Non-ortho Ortho
Draw-in /
mm
49 42 (85.7%) 73 (149.0%)
Draw-in validation and comparison
Angle validation and comparison
Location experiment Non-ortho Ortho
A 80º 81º (101.3%) 70º (87.5%)
B 88º 88º (100.0%) 85º (96.6%)
C 71º 73º (102.8%) 86º (121.1%)
D 49º 46º (93.9%) 47º (95.9%)
E 56º 60º (107.1%) 59º (105.4%)
F 66º 70º (106.1%) 77º (116.7%)
Manufacturing of Carbon Fiber
 *MAT_293
±45o
0/90o
• Inter-layer sliding and wrinkling pattern are compared qualitatively for the double layers
double dome preforming case.
• Overall geometry and inter-layer sliding are well captured.
• The discrepancy in the geometry, sliding, and wrinkle location might be caused by the
inaccurate temperature and interaction factor.
Double layers double dome experiment results. Double layers double dome simulation results.
Manufacturing of Carbon Fiber
 *MAT_249 for pre-preg
Manufacturing of Carbon Fiber
 *MAT_249_UDFIBER
• Option for dry continuous non crimped fabric
• User material developed by BMW
 *MAT_249_CRASH
• Failure/damage of thermoplastics reinforced with WOVEN fabric
• Based on simplified *MAT_249
• A phenomenological model implemented
• Damage defined by load curves
• Experiments done by A German university and Brose
• Material calibration with LS-OPT
Crash Application of Carbon Fiber
 *MAT_LAMINTATED_COMPOSITE_FABRIC (*MAT_058)
– EA, EB, PRBA, PRCA, PRCB, GAB
– XC, XT, YC, YT, SC
– SLIMT1, SLIMC1, SLIMT2, SLIMC2 are stress limits in softening part.
SLIMTx starts with 0.3, and SLIMCx starts with 1.0
– AOPT is used, if coordinate system is defined for material direction
Crash Application of Carbon Fiber
 *MAT_LAMINTATED_COMPOSITE_FABRIC (*MAT_058)
– Load vs displacement: UD
Crash Application of Carbon Fiber
 *MAT_LAMINTATED_COMPOSITE_FABRIC (*MAT_058)
– Load vs displacement: woven 0-90
Crash Application of Carbon Fiber
 *MAT_LAMINTATED_COMPOSITE_FABRIC (*MAT_058)
– Load vs displacement: Quasi Isotropic
Crash Application of Carbon Fiber
 *MAT_LAMINTATED_COMPOSITE_FABRIC (*MAT_058)
Crash Application of Carbon Fiber
 *MAT_LAMINTATED_COMPOSITE_FABRIC (*MAT_058)
Crash Application of Carbon Fiber
 *MAT_LAMINTATED_COMPOSITE_FABRIC (*MAT_058)
– Load vs displacement: NCAP
Crash Application of Carbon Fiber
 *MAT_LAMINTATED_COMPOSITE_FABRIC (*MAT_058)
– Load vs displacement: offset
Crash Application of Carbon Fiber
 *MAT_LAMINTATED_COMPOSITE_FABRIC (*MAT_058)
– Load vs displacement: rigid center pole
Crash Application of Carbon Fiber
 *MAT_LAMINTATED_COMPOSITE_FABRIC (*MAT_058)
– Load vs displacement: low speed quarter
Crash Application of Carbon Fiber
 *MAT_LAMINATED_FRACTURE_DAIMER_PINHO (*MAT_261)
• Coupled failure criterion based on 3d stress state
• Complex 3d fiber kinking model
• Matrix failure invokes search for controlling facture plane
• Linear softening law based on facture toughness
• 1d plasticity model for in plane shear behavior defined by load curve
 * MAT_LAMINATED_FRACTURE_DAIMER_CAMANHO (*MAT_262)
• Coupled failure criterion based on 2d stress state
• Constant fiber misalignment angle based on shear and
longitudinal compressive strength
• Matrix failure fixed planes
• Bi-Linear softening law based on facture toughness
• 1d plasticity model for in plane shear behavior defined by load curve
Crash Application of Carbon Fiber
 *MAT_LAMINATED_FRACTURE_DAIMER_PINHO (*MAT_261)
Crash Application of Carbon Fiber
 *MAT_LAMINATED_FRACTURE_DAIMER_CAMANHO (*MAT_262)
Short fiber
 *MAT_157 with *INITIAL_STRESS
• *MAT_147 is anisotropic elastic platic material with C 6x6 matrix input
• With AOPT=0, initialize orientation and stiffness matrix with *INITIAL_
STRESS_SHELL card
 Data mapping between Moldflow/Moldex3d to
*INITIAL_STRESS card
• Fiber orientation and probability information, q1 q2
• Fiber and matrix elastic properties
The End!

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2017_Session_Zhaoqiangsheng.pdf

  • 1. An overview of Carbon Fiber modeling in LS-DYNA John Zhao zhao@lstc.com October 23th 2017
  • 2. Continuous fiber reinforced polymers (glass/carbon/PA/PP/EP) Short-/long fiber reinforced polymers (glass/PP) Outline  Manufacturing of Carbon Fiber  Compression molding • *MAT_277 & 278 • *MAT_293 • *MAT_249  Resin transform molding  Short chopped fiber  Crash application of Carbon Fiber  Continuous fiber • *MAT_054 & 058 • *MAT_261 & 262  Short chopped fiber • *MAT_157
  • 3. Collaboration  *MAT_ADHESIVE_CURING_VISCOELASTIC (277) • DOW chemical • FORD  *MAT_COMPRF (293) • FORD • Northwestern university  *MAT_REINFORCED_THERMOPLASTIC (249) • BMW  *MAT_LAMINATED_FRACRURE_DAIMER_PINHO (261) *MAT_LAMINATED_FRACTURE_DAIMER_CAMANHO (262) • Mercedes  *MAT_ANISOTROPIC_ELASTIC_PLASTIC with IHIS for short fiber • OPEL
  • 4. Manufacturing of Carbon Fiber  Compression molding of thermoplastic pre-preg  Epoxy resin curing is modeled by *MAT_277 (Dow chemical)  Woven fabric part can be modeled by *MAT_234 & 235 heating positioning forming cooling final part
  • 5. Manufacturing of Carbon Fiber  *MAT_ADHESIVE_CURING_VISCOELASTIC (277) Curing Kinetics Thermal Expansion Chemical Shrinkage Stress Relaxation 𝑑𝛼 𝑑𝑡 = (𝐾1 + 𝐾2𝛼𝑚 )(1 − 𝛼) 𝑛 𝐾1 = 𝑘1exp −𝑐1 𝑅𝑇 , 𝐾2 = 𝑘2exp −𝑐2 𝑅𝑇 𝜀𝑖𝑗 𝑡ℎ = 𝛽(𝛼, 𝑇)𝛿𝑖𝑗𝑑𝑇 𝑇 𝑇0 𝛽 𝛼, 𝑇 = 1 − 𝛼 𝛽0 𝑇 + 𝛼𝛽1 𝑇 𝜀𝑖𝑗 𝑐ℎ = 𝛾(𝛼, 𝑇)𝛿𝑖𝑗𝑑𝛼 𝛼 0 𝛾 𝛼 = 𝐴𝛼2 + 𝐵𝛼 + 𝐶 𝐺 𝑡 = 𝐺∞ + 𝐺𝑖exp⁡ (−𝛽𝑖 𝐺 𝑡) 𝑁 𝑖=1 log 𝛼𝐻 = −𝐶1(𝑇 − 𝑇ref) (𝐶2 + 𝑇 − 𝑇ref)
  • 6. Manufacturing of Carbon Fiber  *MAT_ADHESIVE_CURING_VISCOELASTIC • Single element test case • Initial curing degree set to be 0 • Applied temperature boundary condition • Applied displacement boundary condition • Simulate complete compression molding process
  • 7. Manufacturing of Carbon Fiber  *MAT_ADHESIVE_CURING_VISCOELASTIC
  • 8. Manufacturing of Carbon Fiber  *MAT_ADHESIVE_CURING_VISCOELASTIC
  • 9. Manufacturing of Carbon Fiber  *MAT_ADHESIVE_CURING_VISCOELASTIC 𝜎𝑥𝑥 history plot
  • 10. Manufacturing of Carbon Fiber  *MAT_MICROMECHANICS for continuous woven pre-preg • Consists both loose fabric and epoxy resin • Models fiber reorientation due to mechanical deformation and resin curing • Viscoelastic properties of epoxy resin are functions of curing degree R ep resen tativ e V o lu me C ell x y z   f i l l y a r n w a r p y a r n s u b - c e l l I s u b - c e l l I I s u b - c e l l I I I s u b - c e l l I V x y z 1 2 3    
  • 11. Manufacturing of Carbon Fiber  *MAT_278 single dome preforming simulation  Fiber original orientation 0°/90° vs 45°/-45° Testing Fiber Orientation
  • 12. Manufacturing of Carbon Fiber  *MAT_278 single dome preforming simulation Fiber original orientation 0°/90°
  • 13. Manufacturing of Carbon Fiber  *MAT_278 single dome preforming simulation Fiber original orientation 45°/-45°
  • 14. Manufacturing of Carbon Fiber  *MAT_293 (Northwestern University, Ford) Stress caused by stretch in fiber directions: Experiment: uniaxial tension Or RVE: tension stiffness data Stress caused by fiber-fiber angle change: Experiment: bias-extension Or RVE: shear stiffness data Combine the two stress: Implement the stresses as functions of fiber stretch and rotation into the user defined material.
  • 15. Manufacturing of Carbon Fiber  *MAT_293 Non-orthogonal stress calculation is included in the flowchart. After shear locking, the stress calculation algorithm is converted. Deformation gradient tensor F Fiber directions and angle Fiber angle < Shear locking angle βlock Before locking Stress caused by fiber rotation Stress caused by fiber stretch After locking Stiffened shear stress caused by fiber contact Total stress before locking Total stress after locking Yes No βlock Bias-extension test specimen. Shear stress evaluation: 𝑑𝜎𝑋𝑌 𝑚 = 𝑑𝜎𝑌𝑋 𝑚 = 𝐸 ∙ 𝑑𝜀𝑋𝑌 𝐸: transverse⁡compression⁡modulus.
  • 16. Manufacturing of Carbon Fiber  *MAT_293 Strain (fiber stretch)-stress curve from uniaxial tension tests. Uniaxial tension tests demonstration1.
  • 17. Manufacturing of Carbon Fiber  *MAT_293 Shear angle-stress curve from bias-extension tests. Bias-extension tests demonstration1.
  • 18. Manufacturing of Carbon Fiber  *MAT_293 Bending shape comparison at 70 ºC for bending stiffness reverse calculation. Bending tests demonstration. MAT_COMPRF (MAT_293) input deck.
  • 19. Manufacturing of Carbon Fiber  *MAT_293 • Simulation was performed on LS-DYNA with corresponding fiber orientations and boundary conditions. • Prepreg-prepreg interaction: static/dynamic friction factor=1.9. • Prepreg-tool interaction: static/dynamic friction factor=0.2. Double-dome simulation setup. Punch, rigid, Belytschko-Tsay shell, disp=89 mm Binder, rigid, Belytschko-Tsay shell, disp=0.06 mm Composite, MAT_293, 3.8mm X 3.8mm fully integrated shell elements (Material unitcell side length is 9.2 mm) Die, rigid, Belytschko-Tsay shell
  • 20. Manufacturing of Carbon Fiber  *MAT_293 • The prediction capability of the material model is validated on the basis of one- direction draw-in distance and fiber angle distribution. Single layer double dome simulation and experiment results comparison for draw-in distance and yarn angle validation. experiment Non-ortho Ortho Draw-in / mm 49 42 (85.7%) 73 (149.0%) Draw-in validation and comparison Angle validation and comparison Location experiment Non-ortho Ortho A 80º 81º (101.3%) 70º (87.5%) B 88º 88º (100.0%) 85º (96.6%) C 71º 73º (102.8%) 86º (121.1%) D 49º 46º (93.9%) 47º (95.9%) E 56º 60º (107.1%) 59º (105.4%) F 66º 70º (106.1%) 77º (116.7%)
  • 21. Manufacturing of Carbon Fiber  *MAT_293 ±45o 0/90o • Inter-layer sliding and wrinkling pattern are compared qualitatively for the double layers double dome preforming case. • Overall geometry and inter-layer sliding are well captured. • The discrepancy in the geometry, sliding, and wrinkle location might be caused by the inaccurate temperature and interaction factor. Double layers double dome experiment results. Double layers double dome simulation results.
  • 22. Manufacturing of Carbon Fiber  *MAT_249 for pre-preg
  • 23. Manufacturing of Carbon Fiber  *MAT_249_UDFIBER • Option for dry continuous non crimped fabric • User material developed by BMW  *MAT_249_CRASH • Failure/damage of thermoplastics reinforced with WOVEN fabric • Based on simplified *MAT_249 • A phenomenological model implemented • Damage defined by load curves • Experiments done by A German university and Brose • Material calibration with LS-OPT
  • 24. Crash Application of Carbon Fiber  *MAT_LAMINTATED_COMPOSITE_FABRIC (*MAT_058) – EA, EB, PRBA, PRCA, PRCB, GAB – XC, XT, YC, YT, SC – SLIMT1, SLIMC1, SLIMT2, SLIMC2 are stress limits in softening part. SLIMTx starts with 0.3, and SLIMCx starts with 1.0 – AOPT is used, if coordinate system is defined for material direction
  • 25. Crash Application of Carbon Fiber  *MAT_LAMINTATED_COMPOSITE_FABRIC (*MAT_058) – Load vs displacement: UD
  • 26. Crash Application of Carbon Fiber  *MAT_LAMINTATED_COMPOSITE_FABRIC (*MAT_058) – Load vs displacement: woven 0-90
  • 27. Crash Application of Carbon Fiber  *MAT_LAMINTATED_COMPOSITE_FABRIC (*MAT_058) – Load vs displacement: Quasi Isotropic
  • 28. Crash Application of Carbon Fiber  *MAT_LAMINTATED_COMPOSITE_FABRIC (*MAT_058)
  • 29. Crash Application of Carbon Fiber  *MAT_LAMINTATED_COMPOSITE_FABRIC (*MAT_058)
  • 30. Crash Application of Carbon Fiber  *MAT_LAMINTATED_COMPOSITE_FABRIC (*MAT_058) – Load vs displacement: NCAP
  • 31. Crash Application of Carbon Fiber  *MAT_LAMINTATED_COMPOSITE_FABRIC (*MAT_058) – Load vs displacement: offset
  • 32. Crash Application of Carbon Fiber  *MAT_LAMINTATED_COMPOSITE_FABRIC (*MAT_058) – Load vs displacement: rigid center pole
  • 33. Crash Application of Carbon Fiber  *MAT_LAMINTATED_COMPOSITE_FABRIC (*MAT_058) – Load vs displacement: low speed quarter
  • 34. Crash Application of Carbon Fiber  *MAT_LAMINATED_FRACTURE_DAIMER_PINHO (*MAT_261) • Coupled failure criterion based on 3d stress state • Complex 3d fiber kinking model • Matrix failure invokes search for controlling facture plane • Linear softening law based on facture toughness • 1d plasticity model for in plane shear behavior defined by load curve  * MAT_LAMINATED_FRACTURE_DAIMER_CAMANHO (*MAT_262) • Coupled failure criterion based on 2d stress state • Constant fiber misalignment angle based on shear and longitudinal compressive strength • Matrix failure fixed planes • Bi-Linear softening law based on facture toughness • 1d plasticity model for in plane shear behavior defined by load curve
  • 35. Crash Application of Carbon Fiber  *MAT_LAMINATED_FRACTURE_DAIMER_PINHO (*MAT_261)
  • 36. Crash Application of Carbon Fiber  *MAT_LAMINATED_FRACTURE_DAIMER_CAMANHO (*MAT_262)
  • 37. Short fiber  *MAT_157 with *INITIAL_STRESS • *MAT_147 is anisotropic elastic platic material with C 6x6 matrix input • With AOPT=0, initialize orientation and stiffness matrix with *INITIAL_ STRESS_SHELL card  Data mapping between Moldflow/Moldex3d to *INITIAL_STRESS card • Fiber orientation and probability information, q1 q2 • Fiber and matrix elastic properties