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LS-DYNA
®
KEYWORD USER'S MANUAL
VOLUME II
Material Models
LS-DYNA R11
10/12/18 (r:10572)
LIVERMORE SOFTWARE TECHNOLOGY CORPORATION (LSTC)

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 © 1992-2018 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 Licensing Terms
Copyright © 2001, Dr Brian Gladman < brg@gladman.uk.net>, Worcester, UK. All rights reserved.
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.he 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
LS-DYNA R11 0-1 (TABLE OF CONTENTS)
TABLE OF CONTENTS
TABLE OF CONTENTS .............................................................................................................................. 0-1
*EOS ......................................................................................................................................................... 1-10
*EOS_LINEAR_POLYNOMIAL .................................................................................................... 1-16
*EOS_JWL_{OPTION} ................................................................................................................. 1-18
*EOS_SACK_TUESDAY .............................................................................................................. 1-22
*EOS_GRUNEISEN ..................................................................................................................... 1-23
*EOS_RATIO_OF_POLYNOMIALS ............................................................................................. 1-25
*EOS_LINEAR_POLYNOMIAL_WITH_ENERGY_LEAK .............................................................. 1-28
*EOS_IGNITION_AND_GROWTH_OF_REACTION_IN_HE ......................................................... 1-30
*EOS_TABULATED_COMPACTION ........................................................................................... 1-34
*EOS_TABULATED ..................................................................................................................... 1-37
*EOS_PROPELLANT_DEFLAGRATION ...................................................................................... 1-39
*EOS_TENSOR_PORE_COLLAPSE ........................................................................................... 1-44
*EOS_IDEAL_GAS ....................................................................................................................... 1-47
*EOS_PHASE_CHANGE ............................................................................................................ 1-49
*EOS_JWLB ................................................................................................................................ 1-50
*EOS_GASKET ............................................................................................................................ 1-53
*EOS_MIE_GRUNEISEN ............................................................................................................. 1-56
*EOS_MURNAGHAN .................................................................................................................. 1-58
*EOS_USER_DEFINED ............................................................................................................... 1-59
*MAT ........................................................................................................................................................... 2-1
MATERIAL MODEL REFERENCE TABLES .................................................................................. 2-9
Alphabetized Materials List ......................................................................................................... 2-21
*MAT_ADD_AIRBAG_POROSITY_LEAKAGE ............................................................................. 2-32
*MAT_ADD_COHESIVE ............................................................................................................... 2-35
*MAT_ADD_DAMAGE_DIEM ...................................................................................................... 2-38
*MAT_ADD_DAMAGE_GISSMO ................................................................................................. 2-47
*MAT_ADD_EROSION ................................................................................................................ 2-58
*MAT_ADD_FATIGUE ................................................................................................................. 2-66
*MAT_ADD_GENERALIZED_DAMAGE ....................................................................................... 2-69
*MAT_ADD_PERMEABILITY ....................................................................................................... 2-81
*MAT_ADD_PORE_AIR ............................................................................................................... 2-82
*MAT_ADD_PZELECTRIC ........................................................................................................... 2-84
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