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LS DYNA最新用户手册 VOL 2 3.pdf
TABLE OF CONTENTS
*EOS
*EOS_LINEAR_POLYNOMIAL
*EOS_JWL
*EOS_SACK_TUESDAY
*EOS_GRUNEISEN
*EOS_RATIO_OF_POLYNOMIALS
*EOS_LINEAR_POLYNOMIAL_WITH_ENERGY_LEAK
*EOS_IGNITION_AND_GROWTH_OF_REACTION_IN_HE
*EOS_TABULATED_COMPACTION
*EOS_TABULATED
*EOS_PROPELLANT_DEFLAGRATION
*EOS_TENSOR_PORE_COLLAPSE
*EOS_IDEAL_GAS
*EOS_JWLB
*EOS_GASKET
*EOS_MIE_GRUNEISEN
*EOS_USER_DEFINED
*MAT
MATERIAL MODEL REFERENCE TABLES
ALPHABETIZED MATERIALS LIST
*MAT_ADD_AIRBAG_POROSITY_LEAKAGE
*MAT_ADD_COHESIVE
*MAT_ADD_EROSION
*MAT_ADD_PERMEABILITY
*MAT_ADD_PORE_AIR
*MAT_ADD_THERMAL_EXPANSION
*MAT_NONLOCAL
*MAT_001/*MAT_ELASTIC
*MAT_002/*MAT_{OPTION}TROPIC_ELASTIC
*MAT_003/*MAT_PLASTIC_KINEMATIC
*MAT_004/*MAT_ELASTIC_PLASTIC_THERMAL
*MAT_005/*MAT_SOIL_AND_FOAM
*MAT_006/*MAT_VISCOELASTIC
*MAT_007/*MAT_BLATZKO_RUBBER
*MAT_008/*MAT_HIGH_EXPLOSIVE_BURN
*MAT_009/*MAT_NULL
*MAT_010/*MAT_ELASTIC_PLASTIC_HYDRO
*MAT_011/*MAT_STEINBERG
*MAT_011_LUND/*MAT_STEINBERG_LUND
*MAT_012/*MAT_ISOTROPIC_ELASTIC_PLASTIC
*MAT_013/*MAT_ISOTROPIC_ELASTIC_FAILURE
*MAT_014/*MAT_SOIL_AND_FOAM_FAILURE
*MAT_015/*MAT_JOHNSON_COOK
*MAT_016/*MAT_PSEUDO_TENSOR
*MAT_017/*MAT_ORIENTED_CRACK
*MAT_018/*MAT_POWER_LAW_PLASTICITY
*MAT_019/*MAT_STRAIN_RATE_DEPENDENT_PLASTICITY
*MAT_020/*MAT_RIGID
*MAT_021/*MAT_ORTHOTROPIC_THERMAL
*MAT_022/*MAT_COMPOSITE_DAMAGE
*MAT_023/*MAT_TEMPERATURE_DEPENDENT_ORTHOTROPIC
*MAT_024/*MAT_PIECEWISE_LINEAR_PLASTICITY
*MAT_025/*MAT_GEOLOGIC_CAP_MODEL
*MAT_026/*MAT_HONEYCOMB
*MAT_027/*MAT_MOONEYRIVLIN_RUBBER
*MAT_028/*MAT_RESULTANT_PLASTICITY
*MAT_029/*MAT_FORCE_LIMITED
*MAT_030/*MAT_SHAPE_MEMORY
*MAT_031/*MAT_FRAZER_NASH_RUBBER_MODEL
*MAT_032/*MAT_LAMINATED_GLASS
*MAT_033/*MAT_BARLAT_ANISOTROPIC_PLASTICITY
*MAT_033_96/*MAT_BARLAT_YLD96
*MAT_034/*MAT_FABRIC
*MAT_035/*MAT_PLASTIC_GREEN-NAGHDI_RATE
*MAT_036/*MAT_3-PARAMETER_BARLAT
*MAT_037/*MAT_TRANSVERSELY_ANISOTROPIC_ELASTIC_PLASTIC
*MAT_038/*MAT_BLATZ-KO_FOAM
*MAT_039/*MAT_FLD_TRANSVERSELY_ANISOTROPIC
*MAT_040/*MAT_NONLINEAR_ORTHOTROPIC
*MAT_041-050/*MAT_USER_DEFINED_MATERIAL_MODELS
*MAT_051/*MAT_BAMMAN
*MAT_052/*MAT_BAMMAN_DAMAGE
*MAT_053/*MAT_CLOSED_CELL_FOAM
*MAT_054-055/*MAT_ENHANCED_COMPOSITE_DAMAGE
*MAT_057/*MAT_LOW_DENSITY_FOAM
*MAT_058/*MAT_LAMINATED_COMPOSITE_FABRIC
*MAT_059/*MAT_COMPOSITE_FAILURE
*MAT_060/*MAT_ELASTIC_WITH_VISCOSITY
*MAT_060C/*MAT_ELASTIC_WITH_VISCOSITY_CURVE
*MAT_061/*MAT_KELVIN-MAXWELL_VISCOELASTIC
*MAT_062/*MAT_VISCOUS_FOAM
*MAT_063/*MAT_CRUSHABLE_FOAM
*MAT_064/*MAT_RATE_SENSITIVE_POWERLAW_PLASTICITY
*MAT_065/*MAT_MODIFIED_ZERILLI_ARMSTRONG
*MAT_066/*MAT_LINEAR_ELASTIC_DISCRETE_BEAM
*MAT_067/*MAT_NONLINEAR_ELASTIC_DISCRETE_BEAM
*MAT_068/*MAT_NONLINEAR_PLASTIC_DISCRETE_BEAM
*MAT_069/*MAT_SID_DAMPER_DISCRETE_BEAM
*MAT_070/*MAT_HYDRAULIC_GAS_DAMPER_DISCRETE_BEAM
*MAT_071/*MAT_CABLE_DISCRETE_BEAM
*MAT_072/*MAT_CONCRETE_DAMAGE
*MAT_072R3/*MAT_CONCRETE_DAMAGE_REL3
*MAT_073/*MAT_LOW_DENSITY_VISCOUS_FOAM
*MAT_074/*MAT_ELASTIC_SPRING_DISCRETE_BEAM
*MAT_075/*MAT_BILKHU/DUBOIS_FOAM
*MAT_076/*MAT_GENERAL_VISCOELASTIC
*MAT_077_H/*MAT_HYPERELASTIC_RUBBER
*MAT_077_O/*MAT_OGDEN_RUBBER
*MAT_078/*MAT_SOIL_CONCRETE
*MAT_079/*MAT_HYSTERETIC_SOIL
*MAT_080/*MAT_RAMBERG-OSGOOD
*MAT_081-082/*MAT_PLASTICITY_WITH_DAMAGE
*MAT_083/*MAT_FU_CHANG_FOAM_{OPTION}
*MAT_084-085/*MAT_WINFRITH_CONCRETE
*MAT_084/*MAT_WINFRITH_CONCRETE_REINFORCEMENT
*MAT_086/*MAT_ORTHOTROPIC_VISCOELASTIC
*MAT_087/*MAT_CELLULAR_RUBBER
*MAT_088/*MAT_MTS
*MAT_089/*MAT_PLASTICITY_POLYMER
*MAT_090/*MAT_ACOUSTIC
*MAT_091-092/*MAT_SOFT_TISSUE
*MAT_093/*MAT_ELASTIC_6DOF_SPRING_DISCRETE_BEAM
*MAT_094/*MAT_INELASTIC_SPRING_DISCRETE_BEAM
*MAT_095/*MAT_INELASTIC_6DOF_SPRING_DISCRETE_BEAM
*MAT_096/*MAT_BRITTLE_DAMAGE
*MAT_097/*MAT_GENERAL_JOINT_DISCRETE_BEAM
*MAT_098/*MAT_SIMPLIFIED_JOHNSON_COOK
*MAT_099/*MAT_SIMPLIFIED_JOHNSON_COOK_ORTHOTROPIC_DAMAGE
*MAT_100/*MAT_SPOTWELD
*MAT_100_DA/*MAT_SPOTWELD_DAIMLERCHRYSLER
*MAT_101/*MAT_GEPLASTIC_SRATE_2000a
*MAT_102/*MAT_INV_HYPERBOLIC_SIN
*MAT_103/*MAT_ANISOTROPIC_VISCOPLASTIC
*MAT_103_P/*MAT_ANISOTROPIC_PLASTIC
*MAT_104/*MAT_DAMAGE_1
*MAT_105/*MAT_DAMAGE_2
*MAT_106/*MAT_ELASTIC_VISCOPLASTIC_THERMAL
*MAT_107/*MAT_MODIFIED_JOHNSON_COOK
*MAT_108/*MAT_ORTHO_ELASTIC_PLASTIC
*MAT_110/*MAT_JOHNSON_HOLMQUIST_CERAMICS
*MAT_111/*MAT_JOHNSON_HOLMQUIST_CONCRETE
*MAT_112/*MAT_FINITE_ELASTIC_STRAIN_PLASTICITY
*MAT_113/*MAT_TRIP
*MAT_114/*MAT_LAYERED_LINEAR_PLASTICITY
*MAT_115/*MAT_UNIFIED_CREEP
*MAT_116/*MAT_COMPOSITE_LAYUP
*MAT_117/*MAT_COMPOSITE_MATRIX
*MAT_118/*MAT_COMPOSITE_DIRECT
*MAT_119/*MAT_GENERAL_NONLINEAR_6DOF_DISCRETE_BEAM
*MAT_120/*MAT_GURSON
*MAT_120_JC/*MAT_GURSON_JC
*MAT_120_RCDC/*MAT_GURSON_RCDC
*MAT_121/*MAT_GENERAL_NONLINEAR_1DOF_DISCRETE_BEAM
*MAT_122/*MAT_HILL_3R
*MAT_123/*MAT_MODIFIED_PIECEWISE_LINEAR_PLASTICITY
*MAT_124/*MAT_PLASTICITY_COMPRESSION_TENSION
*MAT_125/*MAT_KINEMATIC_HARDENING_TRANSVERSELY_ANISOTROPIC
*MAT_126/*MAT_MODIFIED_HONEYCOMB
*MAT_127/*MAT_ARRUDA_BOYCE_RUBBER
*MAT_128/*MAT_HEART_TISSUE
*MAT_129/*MAT_LUNG_TISSUE
*MAT_130/*MAT_SPECIAL_ORTHOTROPIC
*MAT_131/*MAT_ISOTROPIC_SMEARED_CRACK
*MAT_132/*MAT_ORTHOTROPIC_SMEARED_CRACK
*MAT_133/*MAT_BARLAT_YLD2000
*MAT_134/*MAT_VISCOELASTIC_FABRIC
*MAT_135/*MAT_WTM_STM
*MAT_135_PLC/*MAT_WTM_STM_PLC
*MAT_136/*MAT_CORUS_VEGTER
*MAT_138/*MAT_COHESIVE_MIXED_MODE
*MAT_139/*MAT_MODIFIED_FORCE_LIMITED
*MAT_140/*MAT_VACUUM
*MAT_141/*MAT_RATE_SENSITIVE_POLYMER
*MAT_142/*MAT_TRANSVERSELY_ISOTROPIC_CRUSHABLE_FOAM
*MAT_143/*MAT_WOOD
*MAT_144/*MAT_PITZER_CRUSHABLE_FOAM
*MAT_145/*MAT_SCHWER_MURRAY_CAP_MODEL
*MAT_146/*MAT_1DOF_GENERALIZED_SPRING
*MAT_147/*MAT_FHWA_SOIL
*MAT_147_N/*MAT_FHWA_SOIL_NEBRASKA
*MAT_148/*MAT_GAS_MIXTURE
*MAT_151/*MAT_EMMI
*MAT_153/*MAT_DAMAGE_3
*MAT_154/*MAT_DESHPANDE_FLECK_FOAM
*MAT_155/*MAT_PLASTICITY_COMPRESSION_TENSION_EOS
*MAT_156/*MAT_MUSCLE
*MAT_157/*MAT_ANISOTROPIC_ELASTIC_PLASTIC
*MAT_158/*MAT_RATE_SENSITIVE_COMPOSITE_FABRIC
*MAT_159/*MAT_CSCM
*MAT_160/*MAT_ALE_INCOMPRESSIBLE
*MAT_161, MAT_162/*MAT_COMPOSITE_MSC
*MAT_163/*MAT_MODIFIED_CRUSHABLE_FOAM
*MAT_164/*MAT_BRAIN_LINEAR_VISCOELASTIC
*MAT_165/*MAT_PLASTIC_NONLINEAR_KINEMATIC
*MAT_166/*MAT_MOMENT_CURVATURE_BEAM
*MAT_167/*MAT_MCCORMICK
*MAT_168/*MAT_POLYMER
*MAT_169/*MAT_ARUP_ADHESIVE
*MAT_170/*MAT_RESULTANT_ANISOTROPIC
*MAT_171/*MAT_STEEL_CONCENTRIC_BRACE
*MAT_172/*MAT_CONCRETE_EC2
*MAT_173/*MAT_MOHR_COULOMB
*MAT_174/*MAT_RC_BEAM
*MAT_175/*MAT_VISCOELASTIC_THERMAL
*MAT_176/*MAT_QUASILINEAR_VISCOELASTIC
*MAT_177/*MAT_HILL_FOAM
*MAT_178/*MAT_VISCOELASTIC_HILL_FOAM
*MAT_179/*MAT_LOW_DENSITY_SYNTHETIC_FOAM
*MAT_181/*MAT_SIMPLIFIED_RUBBER/FOAM
*MAT_183/*MAT_SIMPLIFIED_RUBBER_WITH_DAMAGE
*MAT_184/*MAT_COHESIVE_ELASTIC
*MAT_185/*MAT_COHESIVE_TH
*MAT_186/*MAT_COHESIVE_GENERAL
*MAT_187/*MAT_SAMP-1
*MAT_188/*MAT_THERMO_ELASTO_VISCOPLASTIC_CREEP
*MAT_189/*MAT_ANISOTROPIC_THERMOELASTIC
*MAT_190/*MAT_FLD_3-PARAMETER_BARLAT
*MAT_191/*MAT_SEISMIC_BEAM
*MAT_192/*MAT_SOIL_BRICK
*MAT_193/*MAT_DRUCKER_PRAGER
*MAT_194/*MAT_RC_SHEAR_WALL
*MAT_195/*MAT_CONCRETE_BEAM
*MAT_196/*MAT_GENERAL_SPRING_DISCRETE_BEAM
*MAT_197/*MAT_SEISMIC_ISOLATOR
*MAT_198/*MAT_JOINTED_ROCK
*MAT_202/*MAT_STEEL_EC3
*MAT_208/*MAT_BOLT_BEAM
*MAT_219/*MAT_CODAM2
*MAT_214/*MAT_DRY_FABRIC
*MAT_220/*MAT_RIGID_DISCRETE
*MAT_221/*MAT_ORTHOTROPIC_SIMPLIFIED_DAMAGE
*MAT_224/*MAT_TABULATED_JOHNSON_COOK
*MAT_225/*MAT_VISCOPLASTIC_MIXED_HARDENING
*MAT_226/*MAT_KINEMATIC_HARDENING_BARLAT89
*MAT_230/*MAT_PML_ELASTIC
*MAT_230_FLUID/*MAT_PML_ELASTIC_FLUID
*MAT_231/*MAT_PML_ACOUSTIC
*MAT_232/*MAT_BIOT_HYSTERETIC
*MAT_233/*MAT_CAZACU_BARLAT
*MAT_234/*MAT_VISCOELASTIC_LOOSE_FABRIC
*MAT_235/*MAT_MICROMECHANICS_DRY_FABRIC
*MAT_236/*MAT_SCC_ON_RCC
*MAT_237/*MAT_PML_HYSTERETIC
*MAT_238/*MAT_PERT_PIECEWISE_LINEAR_PLASTICITY
*MAT_240/*MAT_COHESIVE_MIXED_MODE_ELASTOPLASTIC_RATE
*MAT_241/*MAT_JOHNSON_HOLMQUIST_JH1
*MAT_242/*MAT_KINEMATIC_HARDENING_BARLAT2000
*MAT_243/*MAT_HILL_90
*MAT_244/*MAT_UHS_STEEL
*MAT_245/*MAT_PML_{OPTION}TROPIC_ELASTIC
*MAT_246/*MAT_PML_NULL
*MAT_251/*MAT_TAILORED_PROPERTIES
*MAT_252/*MAT_TOUGHENED_ADHESIVE_POLYMER
*MAT_255/*MAT_PIECEWISE_LINEAR_PLASTIC_THERMAL
*MAT_256/*MAT_AMORPHOUS_SOLIDS_FINITE_STRAIN
*MAT_261/*MAT_LAMINATED_FRACTURE_DAIMLER_PINHO
*MAT_262/*MAT_LAMINATED_FRACTURE_DAIMLER_CAMANHO
*MAT_266/*MAT_TISSUE_DISPERSED
*MAT_267/*MAT_EIGHT_CHAIN_RUBBER
*MAT_269/*MAT_BERGSTROM_BOYCE_RUBBER
*MAT_270/*MAT_CWM
*MAT_271/*MAT_POWDER
*MAT_272/*MAT_RHT
*MAT_273/*MAT_CDPM/*MAT_CONCRETE_DAMAGE_PLASTIC_MODEL
*MAT_276/*MAT_CHRONOLOGICAL_VISCOELASTIC
*MAT_ALE_01/*MAT_ALE_VACUUM
*MAT_ALE_02/*MAT_ALE_GAS_MIXTURE
*MAT_ALE_04/*MAT_ALE_MIXING_LENGTH
*MAT_ALE_05/*MAT_ALE_INCOMPRESSIBLE
*MAT_ALE_06/*MAT_ALE_HERSCHEL
*MAT_S01/*MAT_SPRING_ELASTIC
*MAT_S02/*MAT_DAMPER_VISCOUS
*MAT_S03/*MAT_SPRING_ELASTOPLASTIC
*MAT_S04/*MAT_SPRING_NONLINEAR_ELASTIC
*MAT_S05/*MAT_DAMPER_NONLINEAR_VISCOUS
*MAT_S06/*MAT_SPRING_GENERAL_NONLINEAR
*MAT_S07/*MAT_SPRING_MAXWELL
*MAT_S08/*MAT_SPRING_INELASTIC
*MAT_S13/*MAT_SPRING_TRILINEAR_DEGRADING
*MAT_S14/*MAT_SPRING_SQUAT_SHEARWALL
*MAT_S15/*MAT_SPRING_MUSCLE
*MAT_B01/*MAT_SEATBELT
*MAT_THERMAL
*MAT_T01/*MAT_THERMAL_ISOTROPIC
*MAT_T02/*MAT_THERMAL_ORTHOTROPIC
*MAT_T03/*MAT_THERMAL_ISOTROPIC_TD
*MAT_T04/*MAT_THERMAL_ORTHOTROPIC_TD
*MAT_T05/*MAT_THERMAL_DISCRETE_BEAM
*MAT_T07/*MAT_THERMAL_CWM
*MAT_T08/*MAT_THERMAL_ORTHOTROPIC_TD_LC
*MAT_T09/*MAT_THERMAL_ISOTROPIC_PHASE_CHANGE
*MAT_T10/*MAT_THERMAL_ISOTROPIC_TD_LC
*MAT_T11-T15/*MAT_THERMAL_USER_DEFINED
LS-DYNA®
KEYWORD USER'S MANUAL
LIVERMORE SOFTWARE TECHNOLOGY CORPORATION (LSTC)
VOLUME II
Material Models
LS-DYNA R7.1
May 19, 2014 (revision: 5442)
Corporate Address
Livermore Software Technology Corporation
P. O. Box 712
Livermore, California 94551-0712
Support Addresses
LSTC
7374 Las Positas Road
Livermore, California 94551
Tel: 925-449-2500 Fax: 925-449-2507
Email: sales@lstc.com
Website: www.lstc.com
LSTC
1740 West Big Beaver Road
Suite 100
Troy, Michigan 48084
Tel: 248-649-4728 Fax: 248-649-6328
Disclaimer
Copyright © 1992-2014 Livermore Software Technology Corporation. All Rights Reserved.
LS-DYNA®, LS-OPT® and LS-PrePost® are registered trademarks of Livermore Software
Technology Corporation in the United States. All other trademarks, product names and
brand names belong to their respective owners.
LSTC reserves the right to modify the material contained within this manual without prior
notice.
The information and examples included herein are for illustrative purposes only and are
not intended to be exhaustive or all-inclusive. LSTC assumes no liability or responsibility
whatsoever for any direct of indirect damages or inaccuracies of any type or nature that
could be deemed to have resulted from the use of this manual.
Any reproduction, in whole or in part, of this manual is prohibited without the prior
written approval of LSTC. All requests to reproduce the contents hereof should be sent to
sales@lstc.com.
AES
Copyright © 2001, Dr Brian Gladman < brg@gladman.uk.net>, Worcester, UK. All rights reserved.
LICENSE TERMS
The free distribution and use of this software in both source and binary form is allowed (with or without changes)
provided that:
1. distributions of this source code include the above copyright notice, this list of conditions and the following
disclaimer;
2. distributions in binary form include the above copyright notice, this list of conditions and the following disclaimer
in the documentation and/or other associated materials;
3. the copyright holder's name is not used to endorse products built using this software without specific written
permission.
DISCLAIMER
This software is provided 'as is' with no explicit or implied warranties in respect of any properties, including, but not
limited to, correctness and fitness for purpose.
Issue Date: 21/01/2002
This file contains the code for implementing the key schedule for AES (Rijndael) for block and key sizes of 16, 24, and 32
bytes.
*TABLE OF CONTENTS
TABLE OF CONTENTS
TABLE OF CONTENTS .............................................................................................................................. 0-1
*EOS ........................................................................................................................................................... 1-1
*EOS_LINEAR_POLYNOMIAL ...................................................................................................... 1-7
*EOS_JWL ..................................................................................................................................... 1-9
*EOS_SACK_TUESDAY .............................................................................................................. 1-10
*EOS_GRUNEISEN ..................................................................................................................... 1-11
*EOS_RATIO_OF_POLYNOMIALS ............................................................................................. 1-13
*EOS_LINEAR_POLYNOMIAL_WITH_ENERGY_LEAK .............................................................. 1-17
*EOS_IGNITION_AND_GROWTH_OF_REACTION_IN_HE ......................................................... 1-19
*EOS_TABULATED_COMPACTION ........................................................................................... 1-23
*EOS_TABULATED ..................................................................................................................... 1-25
*EOS_PROPELLANT_DEFLAGRATION ...................................................................................... 1-27
*EOS_TENSOR_PORE_COLLAPSE ........................................................................................... 1-32
*EOS_IDEAL_GAS ....................................................................................................................... 1-35
*EOS_JWLB ................................................................................................................................ 1-37
*EOS_GASKET ............................................................................................................................ 1-41
*EOS_MIE_GRUNEISEN ............................................................................................................. 1-44
*EOS_USER_DEFINED ............................................................................................................... 1-46
*MAT ........................................................................................................................................................... 2-1
MATERIAL MODEL REFERENCE TABLES .................................................................................. 2-8
ALPHABETIZED MATERIALS LIST ............................................................................................. 2-18
*MAT_ADD_AIRBAG_POROSITY_LEAKAGE ............................................................................. 2-28
*MAT_ADD_COHESIVE ............................................................................................................... 2-31
*MAT_ADD_EROSION ................................................................................................................ 2-34
*MAT_ADD_PERMEABILITY ....................................................................................................... 2-52
*MAT_ADD_PORE_AIR ............................................................................................................... 2-53
*MAT_ADD_THERMAL_EXPANSION ......................................................................................... 2-55
*MAT_NONLOCAL ...................................................................................................................... 2-57
*MAT_ELASTIC ........................................................................................................................... 2-61
*MAT_{OPTION}TROPIC_ELASTIC ............................................................................................ 2-64
*MAT_PLASTIC_KINEMATIC ...................................................................................................... 2-74
*MAT_ELASTIC_PLASTIC_THERMAL ........................................................................................ 2-77
*MAT_SOIL_AND_FOAM ............................................................................................................ 2-80
0-1 (TABLE OF CONTENTS)
LS-DYNA R7.1
*TABLE OF CONTENTS
*MAT_VISCOELASTIC ................................................................................................................ 2-84
*MAT_BLATZKO_RUBBER ......................................................................................................... 2-86
*MAT_HIGH_EXPLOSIVE_BURN ................................................................................................ 2-87
*MAT_NULL ................................................................................................................................ 2-90
*MAT_ELASTIC_PLASTIC_HYDRO ............................................................................................ 2-92
*MAT_STEINBERG ...................................................................................................................... 2-97
*MAT_STEINBERG_LUND ........................................................................................................ 2-101
*MAT_ISOTROPIC_ELASTIC_PLASTIC .................................................................................... 2-105
*MAT_ISOTROPIC_ELASTIC_FAILURE .................................................................................... 2-106
*MAT_SOIL_AND_FOAM_FAILURE .......................................................................................... 2-108
*MAT_JOHNSON_COOK .......................................................................................................... 2-109
*MAT_PSEUDO_TENSOR ......................................................................................................... 2-116
*MAT_ORIENTED_CRACK ........................................................................................................ 2-124
*MAT_POWER_LAW_PLASTICITY ........................................................................................... 2-127
*MAT_STRAIN_RATE_DEPENDENT_PLASTICITY ................................................................... 2-129
*MAT_RIGID .............................................................................................................................. 2-132
*MAT_ORTHOTROPIC_THERMAL ........................................................................................... 2-138
*MAT_COMPOSITE_DAMAGE ................................................................................................. 2-144
*MAT_TEMPERATURE_DEPENDENT_ORTHOTROPIC ........................................................... 2-149
*MAT_PIECEWISE_LINEAR_PLASTICITY ................................................................................ 2-154
*MAT_GEOLOGIC_CAP_MODEL ............................................................................................. 2-161
*MAT_HONEYCOMB ................................................................................................................ 2-167
*MAT_MOONEYRIVLIN_RUBBER ............................................................................................ 2-175
*MAT_RESULTANT_PLASTICITY ............................................................................................. 2-178
*MAT_FORCE_LIMITED ............................................................................................................ 2-179
*MAT_SHAPE_MEMORY .......................................................................................................... 2-186
*MAT_FRAZER_NASH_RUBBER_MODEL ............................................................................... 2-191
*MAT_LAMINATED_GLASS ...................................................................................................... 2-194
*MAT_BARLAT_ANISOTROPIC_PLASTICITY .......................................................................... 2-196
*MAT_BARLAT_YLD96 ............................................................................................................. 2-200
*MAT_FABRIC ........................................................................................................................... 2-204
*MAT_PLASTIC_GREEN-NAGHDI_RATE ................................................................................. 2-216
*MAT_3-PARAMETER_BARLAT ............................................................................................... 2-217
*MAT_TRANSVERSELY_ANISOTROPIC_ELASTIC_PLASTIC ................................................. 2-232
*MAT_BLATZ-KO_FOAM .......................................................................................................... 2-241
*MAT_FLD_TRANSVERSELY_ANISOTROPIC .......................................................................... 2-243
*MAT_NONLINEAR_ORTHOTROPIC ....................................................................................... 2-245
LS-DYNA R7.1
0-2 (TABLE OF CONTENTS)
*TABLE OF CONTENTS
*MAT_USER_DEFINED_MATERIAL_MODELS ......................................................................... 2-250
*MAT_BAMMAN ........................................................................................................................ 2-255
*MAT_BAMMAN_DAMAGE ...................................................................................................... 2-260
*MAT_CLOSED_CELL_FOAM .................................................................................................. 2-263
*MAT_ENHANCED_COMPOSITE_DAMAGE ............................................................................ 2-266
*MAT_LOW_DENSITY_FOAM ................................................................................................... 2-276
*MAT_LAMINATED_COMPOSITE_FABRIC .............................................................................. 2-281
*MAT_COMPOSITE_FAILURE .................................................................................................. 2-290
*MAT_ELASTIC_WITH_VISCOSITY .......................................................................................... 2-295
*MAT_ELASTIC_WITH_VISCOSITY_CURVE ............................................................................ 2-298
*MAT_KELVIN-MAXWELL_VISCOELASTIC ............................................................................. 2-301
*MAT_VISCOUS_FOAM ............................................................................................................ 2-303
*MAT_CRUSHABLE_FOAM ...................................................................................................... 2-305
*MAT_RATE_SENSITIVE_POWERLAW_PLASTICITY .............................................................. 2-307
*MAT_MODIFIED_ZERILLI_ARMSTRONG ............................................................................... 2-309
*MAT_LINEAR_ELASTIC_DISCRETE_BEAM ........................................................................... 2-312
*MAT_NONLINEAR_ELASTIC_DISCRETE_BEAM ................................................................... 2-315
*MAT_NONLINEAR_PLASTIC_DISCRETE_BEAM ................................................................... 2-320
*MAT_SID_DAMPER_DISCRETE_BEAM .................................................................................. 2-326
*MAT_HYDRAULIC_GAS_DAMPER_DISCRETE_BEAM .......................................................... 2-330
*MAT_CABLE_DISCRETE_BEAM ............................................................................................. 2-332
*MAT_CONCRETE_DAMAGE ................................................................................................... 2-335
*MAT_CONCRETE_DAMAGE_REL3 ........................................................................................ 2-339
*MAT_LOW_DENSITY_VISCOUS_FOAM ................................................................................. 2-348
*MAT_ELASTIC_SPRING_DISCRETE_BEAM ........................................................................... 2-353
*MAT_BILKHU/DUBOIS_FOAM ................................................................................................ 2-355
*MAT_GENERAL_VISCOELASTIC ............................................................................................ 2-358
*MAT_HYPERELASTIC_RUBBER ............................................................................................. 2-363
*MAT_OGDEN_RUBBER .......................................................................................................... 2-369
*MAT_SOIL_CONCRETE .......................................................................................................... 2-374
*MAT_HYSTERETIC_SOIL ........................................................................................................ 2-378
*MAT_RAMBERG-OSGOOD .................................................................................................... 2-385
*MAT_PLASTICITY_WITH_DAMAGE ........................................................................................ 2-387
*MAT_FU_CHANG_FOAM_{OPTION} ...................................................................................... 2-396
*MAT_WINFRITH_CONCRETE ................................................................................................. 2-406
*MAT_WINFRITH_CONCRETE_REINFORCEMENT ................................................................. 2-410
*MAT_ORTHOTROPIC_VISCOELASTIC ................................................................................... 2-412
0-3 (TABLE OF CONTENTS)
LS-DYNA R7.1
*TABLE OF CONTENTS
*MAT_CELLULAR_RUBBER ..................................................................................................... 2-415
*MAT_MTS ................................................................................................................................ 2-419
*MAT_PLASTICITY_POLYMER ................................................................................................. 2-423
*MAT_ACOUSTIC ..................................................................................................................... 2-426
*MAT_SOFT_TISSUE ................................................................................................................ 2-428
*MAT_ELASTIC_6DOF_SPRING_DISCRETE_BEAM ............................................................... 2-433
*MAT_INELASTIC_SPRING_DISCRETE_BEAM ....................................................................... 2-435
*MAT_INELASTIC_6DOF_SPRING_DISCRETE_BEAM ............................................................ 2-438
*MAT_BRITTLE_DAMAGE ........................................................................................................ 2-440
*MAT_GENERAL_JOINT_DISCRETE_BEAM ............................................................................ 2-443
*MAT_SIMPLIFIED_JOHNSON_COOK .................................................................................... 2-445
*MAT_SIMPLIFIED_JOHNSON_COOK_ORTHOTROPIC_DAMAGE ........................................ 2-448
*MAT_SPOTWELD .................................................................................................................... 2-450
*MAT_SPOTWELD_DAIMLERCHRYSLER ............................................................................... 2-466
*MAT_GEPLASTIC_SRATE_2000A ........................................................................................... 2-469
*MAT_INV_HYPERBOLIC_SIN .................................................................................................. 2-471
*MAT_ANISOTROPIC_VISCOPLASTIC .................................................................................... 2-473
*MAT_ANISOTROPIC_PLASTIC ............................................................................................... 2-479
*MAT_DAMAGE_1 ..................................................................................................................... 2-483
*MAT_DAMAGE_2 ..................................................................................................................... 2-489
*MAT_ELASTIC_VISCOPLASTIC_THERMAL ........................................................................... 2-493
*MAT_MODIFIED_JOHNSON_COOK ....................................................................................... 2-496
*MAT_ORTHO_ELASTIC_PLASTIC .......................................................................................... 2-504
*MAT_JOHNSON_HOLMQUIST_CERAMICS........................................................................... 2-509
*MAT_JOHNSON_HOLMQUIST_CONCRETE .......................................................................... 2-512
*MAT_FINITE_ELASTIC_STRAIN_PLASTICITY ........................................................................ 2-515
*MAT_TRIP ................................................................................................................................ 2-518
*MAT_LAYERED_LINEAR_PLASTICITY ................................................................................... 2-522
*MAT_UNIFIED_CREEP ............................................................................................................ 2-526
*MAT_COMPOSITE_LAYUP ..................................................................................................... 2-528
*MAT_COMPOSITE_MATRIX ................................................................................................... 2-531
*MAT_COMPOSITE_DIRECT .................................................................................................... 2-534
*MAT_GENERAL_NONLINEAR_6DOF_DISCRETE_BEAM ...................................................... 2-536
*MAT_GURSON ........................................................................................................................ 2-544
*MAT_GURSON_JC .................................................................................................................. 2-550
*MAT_GURSON_RCDC ............................................................................................................ 2-557
*MAT_GENERAL_NONLINEAR_1DOF_DISCRETE_BEAM ...................................................... 2-563
LS-DYNA R7.1
0-4 (TABLE OF CONTENTS)
*TABLE OF CONTENTS
*MAT_HILL_3R .......................................................................................................................... 2-566
*MAT_MODIFIED_PIECEWISE_LINEAR_PLASTICITY ............................................................. 2-569
*MAT_PLASTICITY_COMPRESSION_TENSION ...................................................................... 2-574
*MAT_KINEMATIC_HARDENING_TRANSVERSELY_ANISOTROPIC ...................................... 2-578
*MAT_MODIFIED_HONEYCOMB ............................................................................................. 2-588
*MAT_ARRUDA_BOYCE_RUBBER .......................................................................................... 2-600
*MAT_HEART_TISSUE .............................................................................................................. 2-603
*MAT_LUNG_TISSUE ............................................................................................................... 2-608
*MAT_SPECIAL_ORTHOTROPIC ............................................................................................. 2-611
*MAT_ISOTROPIC_SMEARED_CRACK ................................................................................... 2-615
*MAT_ORTHOTROPIC_SMEARED_CRACK ............................................................................ 2-618
*MAT_BARLAT_YLD2000 ......................................................................................................... 2-623
*MAT_VISCOELASTIC_FABRIC................................................................................................ 2-636
*MAT_WTM_STM ...................................................................................................................... 2-639
*MAT_WTM_STM_PLC ............................................................................................................. 2-649
*MAT_CORUS_VEGTER ........................................................................................................... 2-654
*MAT_COHESIVE_MIXED_MODE ............................................................................................ 2-660
*MAT_MODIFIED_FORCE_LIMITED ......................................................................................... 2-665
*MAT_VACUUM ........................................................................................................................ 2-676
*MAT_RATE_SENSITIVE_POLYMER ........................................................................................ 2-677
*MAT_TRANSVERSELY_ISOTROPIC_CRUSHABLE_FOAM ................................................... 2-679
*MAT_WOOD ............................................................................................................................ 2-683
*MAT_PITZER_CRUSHABLE_FOAM ........................................................................................ 2-690
*MAT_SCHWER_MURRAY_CAP_MODEL ............................................................................... 2-692
*MAT_1DOF_GENERALIZED_SPRING ..................................................................................... 2-700
*MAT_FHWA_SOIL ................................................................................................................... 2-702
*MAT_FHWA_SOIL_NEBRASKA .............................................................................................. 2-705
*MAT_GAS_MIXTURE ............................................................................................................... 2-706
*MAT_EMMI .............................................................................................................................. 2-713
*MAT_DAMAGE_3 ..................................................................................................................... 2-720
*MAT_DESHPANDE_FLECK_FOAM ......................................................................................... 2-725
*MAT_PLASTICITY_COMPRESSION_TENSION_EOS ............................................................. 2-728
*MAT_MUSCLE ......................................................................................................................... 2-733
*MAT_ANISOTROPIC_ELASTIC_PLASTIC ............................................................................... 2-737
*MAT_RATE_SENSITIVE_COMPOSITE_FABRIC ..................................................................... 2-741
*MAT_CSCM ............................................................................................................................. 2-747
*MAT_ALE_INCOMPRESSIBLE ................................................................................................ 2-758
0-5 (TABLE OF CONTENTS)
LS-DYNA R7.1
*TABLE OF CONTENTS
*MAT_COMPOSITE_MSC ......................................................................................................... 2-760
*MAT_MODIFIED_CRUSHABLE_FOAM ................................................................................... 2-771
*MAT_BRAIN_LINEAR_VISCOELASTIC ................................................................................... 2-774
*MAT_PLASTIC_NONLINEAR_KINEMATIC ............................................................................. 2-776
*MAT_MOMENT_CURVATURE_BEAM .................................................................................... 2-778
*MAT_MCCORMICK ................................................................................................................. 2-782
*MAT_POLYMER ...................................................................................................................... 2-785
*MAT_ARUP_ADHESIVE ........................................................................................................... 2-790
*MAT_RESULTANT_ANISOTROPIC ......................................................................................... 2-797
*MAT_STEEL_CONCENTRIC_BRACE ...................................................................................... 2-801
*MAT_CONCRETE_EC2 ........................................................................................................... 2-806
*MAT_MOHR_COULOMB......................................................................................................... 2-821
*MAT_RC_BEAM ....................................................................................................................... 2-826
*MAT_VISCOELASTIC_THERMAL ............................................................................................ 2-832
*MAT_QUASILINEAR_VISCOELASTIC ..................................................................................... 2-836
*MAT_HILL_FOAM .................................................................................................................... 2-841
*MAT_VISCOELASTIC_HILL_FOAM ......................................................................................... 2-844
*MAT_LOW_DENSITY_SYNTHETIC_FOAM ............................................................................. 2-848
*MAT_SIMPLIFIED_RUBBER/FOAM ........................................................................................ 2-853
*MAT_SIMPLIFIED_RUBBER_WITH_DAMAGE ........................................................................ 2-860
*MAT_COHESIVE_ELASTIC ..................................................................................................... 2-863
*MAT_COHESIVE_TH ............................................................................................................... 2-864
*MAT_COHESIVE_GENERAL ................................................................................................... 2-867
*MAT_SAMP-1 .......................................................................................................................... 2-871
*MAT_THERMO_ELASTO_VISCOPLASTIC_CREEP ................................................................ 2-878
*MAT_ANISOTROPIC_THERMOELASTIC ................................................................................ 2-883
*MAT_FLD_3-PARAMETER_BARLAT ....................................................................................... 2-886
*MAT_SEISMIC_BEAM ............................................................................................................. 2-892
*MAT_SOIL_BRICK ................................................................................................................... 2-901
*MAT_DRUCKER_PRAGER ...................................................................................................... 2-904
*MAT_RC_SHEAR_WALL ......................................................................................................... 2-906
*MAT_CONCRETE_BEAM ........................................................................................................ 2-913
*MAT_GENERAL_SPRING_DISCRETE_BEAM ......................................................................... 2-916
*MAT_SEISMIC_ISOLATOR ...................................................................................................... 2-920
*MAT_JOINTED_ROCK ............................................................................................................. 2-926
*MAT_STEEL_EC3 .................................................................................................................... 2-931
*MAT_BOLT_BEAM .................................................................................................................. 2-934
LS-DYNA R7.1
0-6 (TABLE OF CONTENTS)
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