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LS-DYNA®KEYWORDUSER'SMANUALVOLUMEIMay2007Version971LIVERMORESOFTWARETECHNOLOGYCORPORATION(LSTC)CorporateAddressLivermoreSoftwareTechnologyCorporationP.O.Box712Livermore,California94551-0712SupportAddressesLivermoreSoftwareTechnologyCorporation7374LasPositasRoadLivermore,California94551Tel:925-449-2500♦Fax:925-449-2507Email:sales@lstc.comWebsite::248-649-4728♦Fax:248-649-6328DisclaimerCopyright©1992-2007LivermoreSoftwareTechnologyCorporation.AllRightsReserved.LS-DYNA®,LS-OPT®andLS-PrePost®areregisteredtrademarksofLivermoreSoftwareTechnologyCorporationintheUnitedStates.Allothertrademarks,productnamesandbrandnamesbelongtotheirrespectiveowners.LSTCreservestherighttomodifythematerialcontainedwithinthismanualwithoutpriornotice.Theinformationandexamplesincludedhereinareforillustrativepurposesonlyandarenotintendedtobeexhaustiveorall-inclusive.LSTCassumesnoliabilityorresponsibilitywhatsoeverforanydirectofindirectdamagesorinaccuraciesofanytypeornaturethatcouldbedeemedtohaveresultedfromtheuseofthismanual.Anyreproduction,inwholeorinpart,ofthismanualisprohibitedwithoutthepriorwrittenapprovalofLSTC.Allrequeststoreproducethecontentshereofshouldbesenttosales@lstc.com.ISBN0-9778540-2-7----------------------------------------------------------------------------------------------------------------------AESCopyright©2001,DrBrianGladmanbrg@gladman.uk.net,Worcester,UK.Allrightsreserved.LICENSETERMSThefreedistributionanduseofthissoftwareinbothsourceandbinaryformisallowed(withorwithoutchanges)providedthat:1.distributionsofthissourcecodeincludetheabovecopyrightnotice,thislistofconditionsandthefollowingdisclaimer;2.distributionsinbinaryformincludetheabovecopyrightnotice,thislistofconditionsandthefollowingdisclaimerinthedocumentationand/orotherassociatedmaterials;3.thecopyrightholder'snameisnotusedtoendorseproductsbuiltusingthissoftwarewithoutspecificwrittenpermission.DISCLAIMERThissoftwareisprovided'asis'withnoexplicitorimpliedwarrantiesinrespectofanyproperties,including,butnotlimitedto,correctnessandfitnessforpurpose.-------------------------------------------------------------------------IssueDate:21/01/2002ThisfilecontainsthecodeforimplementingthekeyscheduleforAES(Rijndael)forblockandkeysizesof16,24,and32bytes.TABLEOFCONTENTSLS-DYNAVersion971iiiTABLEOFCONTENTSINTRODUCTION......................................................................................................................................I.1CHRONOLOGICALHISTORY....................................................................................................I.1MATERIALMODELS.................................................................................................................I.21SPATIALDISCRETIZATION....................................................................................................I.22CONTACT-IMPACTINTERFACES..........................................................................................I.26INTERFACEDEFINITIONSFORCOMPONENTANALYSIS................................................I.27CAPACITY...................................................................................................................................I.27PRECISION..................................................................................................................................I.27GETTINGSTARTED.............................................................................................................................GS.1DESCRIPTIONOFKEYWORDINPUT..................................................................................GS.1SUMMARYOFCOMMONLYUSEDOPTIONS....................................................................GS.9EXECUTIONSYNTAX...........................................................................................................GS.10SENSESWITCHCONTROLS................................................................................................GS.12PROCEDUREFORLS-DYNA/MPP..............................................................................GS.13FILES:INPUTANDOUTPUT..............................................................................................GS.14RESTARTANALYSIS............................................................................................................GS.16VDA/IGESDATABASES........................................................................................................GS.17LS-PrePost®..............................................................................................................................GS.18EXECUTIONSPEEDS............................................................................................................GS.20UNITS.......................................................................................................................................GS.21GENERALCARDFORMAT.....................................................................................