首先是始点刚度法：
SUBROUTINE UMAT(STRESS,STATEV,DDSDDE,SSE,SPD,SCD,
RPL,DDSDDT,DRPLDE,DRPLDT,
STRAN,DSTRAN,TIME,DTIME,TEMP,DTEMP,PREDEF,DPRED,CMNAME,
NDI,NSHR,NTENS,NSTATV,PROPS,NPROPS,COORDS,DROT,PNEWDT,
CELENT,DFGRD0,DFGRD1,NOEL,NPT,LAYER,KSPT,JSTEP,KINC)
C
INCLUDE 'ABA_PARAM.INC'
C 始点刚度法
CHARACTER* CMNAME
DIMENSION STRESS(NTENS),STATEV(NSTATV),
DDSDDE(NTENS,NTENS),DDSDDT(NTENS),DRPLDE(NTENS),
STRAN(NTENS),DSTRAN(NTENS),TIME(),PREDEF(),DPRED(),
PROPS(NPROPS),COORDS(),DROT(,),DFGRD0(,),DFGRD1(,),
JSTEP()
DIMENSION PS(),DSTRESS(NTENS)
PARAMETER (ONE=.0D0,TWO=.0D0,THREE=.0D0,SIX=.0D0) EK=PROPS()
EN=PROPS()
RF=PROPS()
C=PROPS()
FAI=PROPS()/180.0*3.1415926
UG=PROPS()
UD=PROPS()
UF=PROPS()
EKUR=PROPS()
PA=PROPS()
DFAI=PROPS()/180.0*3.1415926
S1S3O=STATEV()
S3O=STATEV()
SSS=STATEV()
CALL GETPS(STRESS,PS,NTENS) FAI=FAI-DFAI*LOG10(S3O/PA)
CALL GETEMOD(PS,EK,EN,RF,C,FAI,ENU,PA,EKUR,EMOD,S,S3O,UG,UD,UF
,SSS,S1S3O)
EBULK3=EMOD/(ONE-TWO*ENU)
EG2=EMOD/(ONE+ENU)
EG=EG2/TWO
EG3=THREE*EG
ELAM=(EBULK3-EG2)/THREE
CALL GETDDSDDE(DDSDDE,NTENS,NDI,ELAM,EG2,EG)
DSTRESS=0.0
CALL GETSTRESS(DDSDDE,DSTRESS,DSTRAN,NTENS) DO I1=,NTENS
STRESS(I1)=STRESS(I1)+DSTRESS(I1)
CONTINUE
CALL GETPS(STRESS,PS,NTENS)
CALL GETEMOD(PS,EK,EN,RF,C,FAI,ENU,PA,EKUR,EMOD,S,S3O,UG,UD,UF,
SSS,S1S3O)
EBULK3=EMOD/(ONE-TWO*ENU)
EG2=EMOD/(ONE+ENU)
EG=EG2/TWO
EG3=THREE*EG
ELAM=(EBULK3-EG2)/THREE
CALL GETDDSDDE(DDSDDE,NTENS,NDI,ELAM,EG2,EG)
IF(PS().GT.S3O)S3O=PS()
IF((PS()-PS()).GT.S1S3O)S1S3O=PS()-PS()
IF(S.GT.SSS)SSS=S
STATEV()=S1S3O
STATEV()=S3O
STATEV()=SSS
END SUBROUTINE GETPS(STRESS,PS,NTENS)
INCLUDE 'ABA_PARAM.INC'
DIMENSION PS(),STRESS(NTENS)
CALL SPRINC(STRESS,PS,,,)
DO I=,
DO J=I+,
IF(PS(I).GT.PS(J))THEN
PPS=PS(I)
PS(I)=PS(J)
PS(J)=PPS
END IF
CONTINUE
CONTINUE
DO K1=,
PS(K1)=-PS(K1)
CONTINUE
RETURN
END SUBROUTINE GETEMOD(PS,EK,EN,RF,C,FAI,ENU,PA,EKUR,EMOD,S,S3O
,UG,UD,UF,SSS,S1S3O)
INCLUDE 'ABA_PARAM.INC'
DIMENSION PS()
S=(-SIN(FAI))*(PS()-PS())
IF(PS().LT.(-C/TAN(FAI))) THEN
S=0.99
ELSE S=S/(*C*COS(FAI)+*PS()*SIN(FAI))
IF(S.GE.0.99)then
S=0.99
end if
END IF
EMOD=EK*PA*((S3O/PA)**EN)*((-RF*S)**) AA=UD*(PS()-PS())
AA=AA/(EK*PA*((S3O/PA)**EN))
AA=AA/(-RF*S)
ENU=UG-UF*LOG10(S3O/PA)
ENU=ENU/(-AA)/(-AA)
IF(ENU.GT.0.49)ENU=0.49
IF(ENU.LT.0.05)ENU=0.05
IF(S.LT.SSS.AND.(PS()-PS()).LT.S1S3O)THEN
EMOD=EKUR*PA*((S3O/PA)**EN)
END IF
END SUBROUTINE GETDDSDDE(DDSDDE,NTENS,NDI,ELAM,EG2,EG)
INCLUDE 'ABA_PARAM.INC'
DIMENSION DDSDDE(NTENS,NTENS)
DO K1=,NTENS
DO K2=,NTENS
DDSDDE(K2,K1)=0.0
CONTINUE
CONTINUE
DO K1=,NDI
DO K2=,NDI
DDSDDE(K2,K1)=ELAM
CONTINUE
DDSDDE(K1,K1)=EG2+ELAM
CONTINUE
DO K1=NDI+,NTENS
DDSDDE(K1,K1)=EG
CONTINUE
RETURN
END SUBROUTINE GETSTRESS(DDSDDE,STRESS,DSTRAN,NTENS)
INCLUDE 'ABA_PARAM.INC'
DIMENSION DDSDDE(NTENS,NTENS),STRESS(NTENS),DSTRAN(NTENS)
DO K1=,NTENS
DO K2=,NTENS
STRESS(K2)=STRESS(K2)+DDSDDE(K2,K1)*DSTRAN(K1)
CONTINUE
CONTINUE
RETURN
END
abaqus邓肯张umat始点刚度法
abaqus邓肯张umat中点刚度法：
SUBROUTINE UMAT(STRESS,STATEV,DDSDDE,SSE,SPD,SCD,
RPL,DDSDDT,DRPLDE,DRPLDT,
STRAN,DSTRAN,TIME,DTIME,TEMP,DTEMP,PREDEF,DPRED,CMNAME,
NDI,NSHR,NTENS,NSTATV,PROPS,NPROPS,COORDS,DROT,PNEWDT,
CELENT,DFGRD0,DFGRD1,NOEL,NPT,LAYER,KSPT,JSTEP,KINC)
C
INCLUDE 'ABA_PARAM.INC'
C 中点刚度法
CHARACTER* CMNAME
DIMENSION STRESS(NTENS),STATEV(NSTATV),
DDSDDE(NTENS,NTENS),DDSDDT(NTENS),DRPLDE(NTENS),
STRAN(NTENS),DSTRAN(NTENS),TIME(),PREDEF(),DPRED(),
PROPS(NPROPS),COORDS(),DROT(,),DFGRD0(,),DFGRD1(,),
JSTEP() DIMENSION PS(),DSTRESS(NTENS),TDSTRESS(NTENS),TSTRESS(NTENS)
PARAMETER (ONE=.0D0,TWO=.0D0,THREE=.0D0,SIX=.0D0) EK=PROPS()
EN=PROPS()
RF=PROPS()
C=PROPS()
FAI=PROPS()/180.0*3.1415926
UG=PROPS()
UD=PROPS()
UF=PROPS()
EKUR=PROPS()
PA=PROPS()
DFAI=PROPS()/180.0*3.1415926
S1S3O=STATEV()
S3O=STATEV()
SSS=STATEV()
CALL GETPS(STRESS,PS,NTENS)
FAI=FAI-DFAI*LOG10(S3O/PA)
CALL GETEMOD(PS,EK,EN,RF,C,FAI,ENU,PA,EKUR,EMOD,S,S3O,UG,UD,UF
,SSS,S1S3O)
EBULK3=EMOD/(ONE-TWO*ENU)
EG2=EMOD/(ONE+ENU)
EG=EG2/TWO
EG3=THREE*EG
ELAM=(EBULK3-EG2)/THREE
CALL GETDDSDDE(DDSDDE,NTENS,NDI,ELAM,EG2,EG)
TDSTRESS=0.0
CALL GETSTRESS(DDSDDE,TDSTRESS,DSTRAN,NTENS)
DO I1=,NTENS
TSTRESS(I1)=STRESS(I1)+TDSTRESS(I1)*0.5
CONTINUE CALL GETPS(TSTRESS,PS,NTENS)
CALL GETEMOD(PS,EK,EN,RF,C,FAI,ENU,PA,EKUR,EMOD,S,S3O,UG,UD,UF,
SSS,S1S3O)
EBULK3=EMOD/(ONE-TWO*ENU)
EG2=EMOD/(ONE+ENU)
EG=EG2/TWO
EG3=THREE*EG
ELAM=(EBULK3-EG2)/THREE
CALL GETDDSDDE(DDSDDE,NTENS,NDI,ELAM,EG2,EG)
DSTRESS=0.0
CALL GETSTRESS(DDSDDE,DSTRESS,DSTRAN,NTENS)
DO I1=,NTENS
STRESS(I1)=STRESS(I1)+DSTRESS(I1)
CONTINUE
CALL GETPS(STRESS,PS,NTENS)
CALL GETEMOD(PS,EK,EN,RF,C,FAI,ENU,PA,EKUR,EMOD,S,S3O,UG,UD,UF,
SSS,S1S3O)
EBULK3=EMOD/(ONE-TWO*ENU)
EG2=EMOD/(ONE+ENU)
EG=EG2/TWO
EG3=THREE*EG
ELAM=(EBULK3-EG2)/THREE
CALL GETDDSDDE(DDSDDE,NTENS,NDI,ELAM,EG2,EG) IF(PS().GT.S3O)S3O=PS()
IF((PS()-PS()).GT.S1S3O)S1S3O=PS()-PS()
IF(S.GT.SSS)SSS=S
STATEV()=S1S3O
STATEV()=S3O
STATEV()=SSS END SUBROUTINE GETPS(STRESS,PS,NTENS)
INCLUDE 'ABA_PARAM.INC'
DIMENSION PS(),STRESS(NTENS)
CALL SPRINC(STRESS,PS,,,)
DO I=,
DO J=I+,
IF(PS(I).GT.PS(J))THEN
PPS=PS(I)
PS(I)=PS(J)
PS(J)=PPS
END IF
CONTINUE
CONTINUE
DO K1=,
PS(K1)=-PS(K1)
CONTINUE
RETURN
END SUBROUTINE GETEMOD(PS,EK,EN,RF,C,FAI,ENU,PA,EKUR,EMOD,S,S3O
,UG,UD,UF,SSS,S1S3O)
INCLUDE 'ABA_PARAM.INC'
DIMENSION PS()
S=(-SIN(FAI))*(PS()-PS())
IF(PS().LT.(-C/TAN(FAI))) THEN
S=0.99
ELSE
S=S/(*C*COS(FAI)+*PS()*SIN(FAI))
IF(S.GE.0.99)S=0.99
END IF
EMOD=EK*PA*((S3O/PA)**EN)*((-RF*S)**)
AA=UD*(PS()-PS())
AA=AA/(EK*PA*((S3O/PA)**EN))
AA=AA/(-RF*S)
ENU=UG-UF*LOG10(S3O/PA)
ENU=ENU/(-AA)/(-AA)
IF(ENU.GT.0.49)ENU=0.49
IF(ENU.LT.0.05)ENU=0.05
IF(S.LT.SSS.AND.(PS()-PS()).LT.S1S3O)THEN
EMOD=EKUR*PA*((S3O/PA)**EN)
END IF
END SUBROUTINE GETDDSDDE(DDSDDE,NTENS,NDI,ELAM,EG2,EG)
INCLUDE 'ABA_PARAM.INC'
DIMENSION DDSDDE(NTENS,NTENS)
DO K1=,NTENS
DO K2=,NTENS
DDSDDE(K2,K1)=0.0
CONTINUE
CONTINUE
DO K1=,NDI
DO K2=,NDI
DDSDDE(K2,K1)=ELAM
CONTINUE
DDSDDE(K1,K1)=EG2+ELAM
CONTINUE
DO K1=NDI+,NTENS
DDSDDE(K1,K1)=EG
CONTINUE
RETURN
END SUBROUTINE GETSTRESS(DDSDDE,STRESS,DSTRAN,NTENS)
INCLUDE 'ABA_PARAM.INC'
DIMENSION DDSDDE(NTENS,NTENS),STRESS(NTENS),DSTRAN(NTENS)
DO K1=,NTENS
DO K2=,NTENS
STRESS(K1)=STRESS(K1)+DDSDDE(K1,K2)*DSTRAN(K2)
CONTINUE
CONTINUE
RETURN
END
abaqus邓肯张umat中点刚度法
上面的是E-v模型。
abaqus邓肯张EB模型umat：
SUBROUTINE UMAT(STRESS,STATEV,DDSDDE,SSE,SPD,SCD,
RPL,DDSDDT,DRPLDE,DRPLDT,
STRAN,DSTRAN,TIME,DTIME,TEMP,DTEMP,PREDEF,DPRED,CMNAME,
NDI,NSHR,NTENS,NSTATV,PROPS,NPROPS,COORDS,DROT,PNEWDT,
CELENT,DFGRD0,DFGRD1,NOEL,NPT,LAYER,KSPT,JSTEP,KINC)
C
INCLUDE 'ABA_PARAM.INC'
C
CHARACTER* CMNAME
DIMENSION STRESS(NTENS),STATEV(NSTATV),
DDSDDE(NTENS,NTENS),DDSDDT(NTENS),DRPLDE(NTENS),
STRAN(NTENS),DSTRAN(NTENS),TIME(),PREDEF(),DPRED(),
PROPS(NPROPS),COORDS(),DROT(,),DFGRD0(,),DFGRD1(,),
JSTEP()
DIMENSION PS(),DSTRESS(NTENS)
PARAMETER (ONE=.0D0,TWO=.0D0,THREE=.0D0,SIX=.0D0) EK=PROPS()
EN=PROPS()
RF=PROPS()
C=PROPS()
FAI=PROPS()/180.0*3.1415926
DFAI=PROPS()/180.0*3.1415926
EKB=PROPS()
EM=PROPS()
EKUR=PROPS()
PA=PROPS()
S1S3O=STATEV()
S3O=STATEV()
SSS=STATEV() CALL GETPS(STRESS,PS,NTENS)
FAI=FAI-DFAI*LOG10(S3O/PA)
CALL GETEMOD(PS,EK,EN,RF,C,FAI,ENU,PA,EKUR,EMOD,S,S3O,EKB,EM
,SSS,S1S3O) EBULK3=EMOD/(ONE-TWO*ENU)
EG2=EMOD/(ONE+ENU)
EG=EG2/TWO
EG3=THREE*EG
ELAM=(EBULK3-EG2)/THREE
CALL GETDDSDDE(DDSDDE,NTENS,NDI,ELAM,EG2,EG)
DSTRESS=0.0
CALL GETSTRESS(DDSDDE,DSTRESS,DSTRAN,NTENS)
DO I1=,NTENS
STRESS(I1)=STRESS(I1)+DSTRESS(I1)
CONTINUE CALL GETPS(STRESS,PS,NTENS) CALL GETEMOD(PS,EK,EN,RF,C,FAI,ENU,PA,EKUR,EMOD,S,S3O,EKB,EM
,SSS,S1S3O) EBULK3=EMOD/(ONE-TWO*ENU)
EG2=EMOD/(ONE+ENU)
EG=EG2/TWO
EG3=THREE*EG
ELAM=(EBULK3-EG2)/THREE CALL GETDDSDDE(DDSDDE,NTENS,NDI,ELAM,EG2,EG) IF(PS().GT.S3O)S3O=PS()
IF((PS()-PS()).GT.S1S3O)S1S3O=PS()-PS()
IF(S.GT.SSS)SSS=S
STATEV()=S1S3O
STATEV()=S3O
STATEV()=SSS END SUBROUTINE GETPS(STRESS,PS,NTENS)
INCLUDE 'ABA_PARAM.INC'
DIMENSION PS(),STRESS(NTENS)
CALL SPRINC(STRESS,PS,,,)
DO I=,
DO J=I+,
IF(PS(I).GT.PS(J))THEN
PPS=PS(I)
PS(I)=PS(J)
PS(J)=PPS
END IF
CONTINUE
CONTINUE
DO K1=,
PS(K1)=-PS(K1)
CONTINUE
RETURN
END SUBROUTINE GETEMOD(PS,EK,EN,RF,C,FAI,ENU,PA,EKUR,EMOD,S,S3O
,EKB,EM,SSS,S1S3O) INCLUDE 'ABA_PARAM.INC'
DIMENSION PS() S=(-SIN(FAI))*(PS()-PS())
IF(PS().LT.(-C/TAN(FAI))) THEN
S=0.99
ELSE S=S/(*C*COS(FAI)+*PS()*SIN(FAI))
IF(S.GE.0.99)then
S=0.99
END IF
END IF
EMOD=EK*PA*((S3O/PA)**EN)*((-RF*S)**)
IF((S.LT.SSS).AND.((PS()-PS()).LT.S1S3O))THEN
EMOD=EKUR*PA*((S3O/PA)**EN)
END IF AA=EKB*PA*((S3O/PA)**EM)
ENU=0.5*(1.0-EMOD/./AA)
IF(ENU.GT.0.49)ENU=0.49
IF(ENU.LT.0.05)ENU=0.05
END SUBROUTINE GETDDSDDE(DDSDDE,NTENS,NDI,ELAM,EG2,EG)
INCLUDE 'ABA_PARAM.INC'
DIMENSION DDSDDE(NTENS,NTENS)
DO K1=,NTENS
DO K2=,NTENS
DDSDDE(K2,K1)=0.0
CONTINUE
CONTINUE
DO K1=,NDI
DO K2=,NDI
DDSDDE(K2,K1)=ELAM
CONTINUE
DDSDDE(K1,K1)=EG2+ELAM
CONTINUE
DO K1=NDI+,NTENS
DDSDDE(K1,K1)=EG
CONTINUE
RETURN
END SUBROUTINE GETSTRESS(DDSDDE,STRESS,DSTRAN,NTENS)
INCLUDE 'ABA_PARAM.INC'
DIMENSION DDSDDE(NTENS,NTENS),STRESS(NTENS),DSTRAN(NTENS)
DO K1=,NTENS
DO K2=,NTENS
STRESS(K2)=STRESS(K2)+DDSDDE(K2,K1)*DSTRAN(K1)
CONTINUE
CONTINUE
RETURN
END
abaqus邓肯张EB模型UMAT