板材冲压成形性模拟cae软件系统kmas

1CAEKMAS1(,130025):CAEKMASKMASCAEKMAS1CAEKMAS(KingMeshingAnalysisSystem)UpdatingLagrangianKMAS22.1ULimplicittimeintegrationscheme[1]explicittimeintegrationscheme[2,3]UpdatedLagrangianCoulombt[4,5](&&,),&&&∇−−+∫=∫+∫+∫SijikkjkjkiikvjkvijVdVPiviVdVPiviAdAfividVASσεσεσδδδδ1VAAS&Pi&Pi&fi1198320202CoulombviδviσijCauchy∇SijKirchhoffJaumann&εij1KdF&&=2&F2.2[6]J2FJ2D=∗pgEEε(3))21(21µεµ−−=∗pg(4)−−−+=0*0arctan)1(1)1(21appEsEEsEpgεεπε(5)EµYoungEs;a0ε0p*E*EsDijklDDDijklijkleijklp=−~~(6)~~~DADffDijklpijklemnpqpqkle=1∂∂σ∂∂σ(7)()}~DEijkleikjliljkijkl=+++−∗∗∗∗11212µδδδδµµδδ(8)E*µ∗6[6~10]Barlat-Lian[6,11]faKKaKKcKMMMM=++−+−=12122220σ(9)3+==++−=−=++=+−=+=McMaSIbpprrrrcarrrrhpyhxKhK1)]22(2)[()901)(01(90022]90)01[()901(02122222);2211(211τσσσσσσσσ(10)σpCauchyσ1σbCauchyσ1τSIMr0r45r900o45o90opr0,r45,r90M2Hill1948VonMisesM69Bishop-Hillbccfcc2.3Reissner-MindlinHughes-Liu(HL)BT[12~14]KirchhoffDKT[15][16~18]2.4Hill[19]()δσI,I*,*,*==+∫0∆svvdVijljilijV,11∗∆ijs∗ijvijs∆ijv2Kirchhoff∆sij*∆εij*()∆∆sDFijijklepijklij**=−ε.1211K∆ε*=0.13∆ε*≠0detK=0142.543CADEuclid,Pro/E,UGCATIAIGESCADNURBS[20][21]BezierCoosB-SplinexyCPUCADIGESCADCADIGESIGESCADKMASUV15%35%10%20%44.1208mm160mm4DKT[6]Barlat-Lian[11]t=1.5mm08Al-ZFµ=0.1µ=0.15σ=K(ε0+ε)nK=540(Mpa)n=0.24R=1.736796DKT70631KMASPentem/55081Mb7122A1A2A3A11.11mmA21.13mmA30.93mm3KMASDKT5aKMASb3214ABCAa0a264.24.2.1UUNUMISHEET’93BenchmarkU67AB--F1θ2θACBρIF2.5KN8ABCρ11U1θ2θABCρmm1028021098.181.5244.2678U4.2.208Al1.8m1mm3DKT1344014870HP/C2009AB2.02mm2.15mm90.7~0.8mm0.5KN/mm16.23mm1.0mmC1.0mmA2.0~2.5mm9106457105KMASUpdatedLagrangianDKTKMAS1WangNMandBudianskyB.Analysisofsheetmetalstampingbyafiniteelementmethod.JApplMech,1978,45:73.2BelytschkoTandTsayCS.Explicitalgorithmsfornonlineardynamicsofshells.ASME,AMD-481981,:209.3ChouPCandWuLW.Adynamicrelaxationfiniteelementmethodformetalformingprocesses.IntJMechSci,1986,28(4):231.4NeedlemanAandTvergaardV.Neckingofbiaxiallystretchedelastic-plasticcircularplates.JMechPhysSolids,1977,25:159.5HuP,LianJandChenJW.Finiteelementnumericalanalysisofsheetmetalunderuniaxialtensionwithanewyieldcriterion.JMaterProcTech,1992,31:245.6HuP,LianJ,LiuYQandetal.AQuasi-flowCornerTheoryofElastic-plasticFiniteDeformation.IntJSolidsStruct,1998,35(15):1827.7BudianskyB.Areassessmentofdeformationtheoriesofplasticity.JApplMechTrans,1959,26:259.8NeedlemanAandTvergaardV.Neckingofbiaxiallystretchedelastic-plasticcircularplates.JMechPhysSolids,1977,25:159.9ChristoffersonJandHutchinsonJW.Aclassofphenomenologicalcornertheoriesofplasticity.JMechPhysSolids,1979,27:465.10GotohM.Aclassofplasticconstitutiveequationswithvertexeffect-I.Generaltheory.IntJSolidsStruct,1985,21(11):1101.11BarlatFandLianJ.Plasticbehaviorandstretchabilityofsheetmetal.PartI:Ayieldfunctionfororthotropicsheetunderplanestresscondition.IntJPlasticity,1991,5:51.12..1997,33(2):88.13HughesTJRandLiuWK.Nonlinearfiniteelementanalysisofshells.Part-I:Three-dimensionalshells,ComMethApplMechEng,1981,26:331.14BelytschkoT,TsayCSandLiuWK.AstabilizationmatrixforthebilinearMindlinplateelement.ComMethApplMechEng,981981,29:313.15Kirchhoff84199516BelytschkoTandTsayCS.Astabilizationprocedureforthequadrilateralplateelementwithonepointquadrature.IntJNumMethEng,1983,1:405.17BelytschkoT,OngJSJ,LiuWKandetal.Hourglasscontrolinlinearandnonlinearproblems,ComMethApplMechEng,1984,43:251.18LiuWK,OngJSJandUrasRA.Finiteelementstabilizationmatrices—aunificationapproach.ComMethApplMechEng,1985,53:13.19HillR,Ageneraltheoryofuniquenessandstabilityinelastic-plasticsolids,J.Mech.Phys.Solids,1958(6):236.20SchweizerhofK,WeimarK,HallquistJOandetal.Improvingstandardshellelements,frictionmodelsandcontactalgorithmsfortheefficientsolutionofsheetmetalformingproblemswithLS-DYNA3D,ProceedingsofFE-simulationof3-Dsheetmetalformingprocessesinautomotiveindustry.Zurich,14-16May1991,VDIberichte894:499.21AitaS,HaugE,PasqualeEDiandetal.Industrialsheetmetalformingsimulationsissuesincodedevelopment.Materialmodelling,validationanddesignmethods.ProceedingsofComputationalPlasticity-FundamentalsandApplications,6-10April1992,Barcelona,Spain.1421300250431-56871620431-5687162E-mail:[e-mail]