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Finite_Strain_SMA_UMAT.for
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Finite_Strain_SMA_UMAT.for
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!DEC$ FREEFORM
! Open with Notepad++ for format compatibility
!***********************************************************************************************XXX
! XXX
! 3D FINITE STRIN SMA UMAT XXX
! XXX
! COPYRIGHT LEI XU1, Alexandros Solomou1, Theo Baxevanis2, Dimitris Lagoudas1 XXX
! 1 Department of Aerospace Engineering, Texas A&M University XXX
! 2 Department of Mechanical Engineering, University of Houston XXX
! Version (3-D) 20/JAN./2018 XXX
! XXX
! XXX********************************************************************************************XXX
! XXX *MATERIAL, NAME=SMA XXX
! XXX *DEPVAR XXX
! XXX 26 XXX
! XXX statev(1) = x !Martensite Vol. Frac. XXX
! XXX statev(2) = real(flag_fwd) !FWD finish at 1 or not 0 XXX
! XXX statev(3) = real(flag_rev) !REV finish at 1 or not 0 XXX
! XXX statev(4) = real(transformation) !Trans. DIR 0-elastic; -1 REV; 1 FWD XXX
! XXX statev(5:10) = et(1:6) !Trans. Strain XXX
! XXX statev(11:16) = et_tr(1:6) !Trans. Strain at reverse XXX
! XXX statev(17:22) = Lamdat_r(1:6) !Reverse DIR tensor XXX
! XXX statev(23) = RPLC XXX
! XXX statev(24) = BOUND_REACHED XXX
! XXX statev(25) = NR_CONVERGENCE XXX
! XXX statev(26) = TOO XXX
! XXX*******************************************************************************************************************************XXX
! XXX *User Material, constants=25 XXX
! XXX <Ea>, <Em>, <v>, <alpha>, <CA>, <CM>, <Ms>, <Mf> XXX
! XXX <As>, <Af>, <Hmax>, <kt>, <SigCal>, <n1>, <n2>, <n3> XXX
! XXX <n4>, <X_initial>, <Etd>, <Tube_Flag>, <Tube_Axis>, <Tube_Radius>, <Elastic>, <Coupling> XXX
! XXX <Model> XXX
! XXX********************************************************************************************************************************XXX
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)
INCLUDE 'ABA_PARAM.INC'
CHARACTER*80 CMNAME
DIMENSION STRESS(NTENS),STATEV(NSTATV),DDSDDE(NTENS,NTENS),DDSDDT(NTENS),DRPLDE(NTENS),STRAN(NTENS),DSTRAN(NTENS),TIME(2),PREDEF(1),DPRED(1),&
& PROPS(NPROPS),COORDS(3),DROT(3,3),DFGRD0(3,3),DFGRD1(3,3),JSTEP(4)
REAL*8,ALLOCATABLE :: PARAM(:),VAR(:)
INTEGER NPARAM, NVAR
REAL*8 variable
NPARAM=31 ! NUMBER OF MODEL PARAMETERS, Check subroutine INITIALIZATION
NVAR=45 ! NUMBER OF DEFINED DEPENDENT VARIABLES, Check subroutine INITIALIZATION
ALLOCATE(PARAM(NPARAM))
ALLOCATE(VAR(NVAR))
CALL INITIALIZATION(STRAN,DSTRAN,TEMP,DTEMP,COORDS,DROT,NTENS,NDI,NSHR,NOEL,NPT,LAYER,KSPT,KINC,TIME,DTIME,JSTEP,PROPS,NPROPS,STATEV,NSTATV,DFGRD0,DFGRD1,PARAM,NPARAM,VAR,NVAR)
CALL ELASTIC_PREDICTOR(PARAM,NPARAM,VAR,NVAR,TEMP,DTEMP,STATEV,NSTATV,time)
IF (nint(VAR(5))/=0) THEN
CALL TRANS_CORRECTOR(PARAM,NPARAM,VAR,NVAR,TEMP,DTEMP)
ENDIF
CALL STRESS_UPDATE(PARAM,NPARAM,VAR,NVAR,temp+dtemp,stress)
CALL JACOBIAN_MATRIX(PARAM,NPARAM,VAR,NVAR,stress,temp+dtemp,ddsdde)
CALL SDV_UPDATE(PARAM,NPARAM,VAR,NVAR,STATEV,NSTATV)
RETURN
END SUBROUTINE
!**********************************************************************
!***********************END of MAIN UMAT*************************
!**********************************************************************
SUBROUTINE INITIALIZATION(STRAN,DSTRAN,TEMP,DTEMP,COORDS,DROT,NTENS,NDI,NSHR,NOEL,NPT,LAYER,KSPT,KINC,TIME,DTIME,JSTEP,PROPS,NPROPS,STATEV,NSTATV,DFGRD0,DFGRD1,PARAM,NPARAM,VAR,NVAR)
IMPLICIT NONE
!DEFINITION OF ABAQUS PROVIDED VARIABLES
REAL*8 STRAN(6),DSTRAN(6),COORDS(3),DROT(3,3),TIME(2),DFGRD0(3,3),DFGRD1(3,3),STATEV(NSTATV),PROPS(NPROPS)
REAL*8 TEMP,DTEMP,DTIME
INTEGER JSTEP(4)
INTEGER NTENS,NDI,NSHR,NOEL,NPT,LAYER,KSPT,KINC,NSTATV,NPROPS
!DEFINITION OF INPUT MODEL PARAMETERS
REAL*8 Sa,Sm,v,alpha,CA,CM,As,Af,Ms,Mf,Hmax,kt,SigCal,n1,n2,n3,n4,l1,X_Initial,Tube_Radius,kp
REAL*8 rdso, rduo, Dc, Yo, a1, a2, a3
INTEGER EtD,Tube_Flag,Tube_Axis,ELASTIC,COUPLING,MODEL,NLGEOM
INTEGER NPARAM
REAL*8 PARAM(NPARAM)
!DEFINITION OF USER DEFINED DEPENDENT VARIABLES
REAL*8 x,xo
REAL*8 TOO,RPLC
REAL*8 e(6),eo(6),et(6),eto(6),Lamdat_r(6),et_tr(6)
INTEGER transformation,flag_fwd,flag_rev,NR_CONVERGENCE,BOUND_REACHED
INTEGER NVAR
REAL*8 VAR(NVAR)
!&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& MATLAB GENERATED VARIABLES SPECIFIC FOR THIS SUBROUTINE &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&
!real*8 bs1,bs2,bs3,bs4,bs5,bs6
real*8 T0,t2,t3,t4,t5,t6,t7,t8,t9,t10,t11,t12,t13,t14,t15,t16,t17,t18,t19,t20
real*8 t21,t22,t23,t24,t25,t26,t27,t28,t29,t30,t31,t32,t33,t34,t35,t36,t37,t38,t39,t40
real*8 t41,t42,t43,t44,t45,t46,t47,t48,t49,t50,t51,t52,t53,t54,t55,t56,t57,t58,t59,t60,t61,t62
!&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&
!@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ CODE START @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
! Finite Strain Model Parameters
REAL*8 FN(3,3),FN1(3,3),RLOG(3,3)
!Some Additional Features Parameters
REAL*8 X_UP_BOUND,X_LOW_BOUND,RATIO,Rcur, A0(1,7)
NLGEOM=JSTEP(3)
e =0.0D0
eo=0.0D0
et =0.0D0
eto=0.0D0
Lamdat_r=0.0D0
x_up_bound=0.99999999_8
x_low_bound=0.00000001_8
BOUND_REACHED=0
NR_CONVERGENCE=0
Sa =1._8/props(1)
Sm =1._8/props(2)
v =props(3)
alpha =props(4)
CA =props(5)
CM =props(6)
Ms =props(7)
Mf =props(8)
As =props(9)
Af =props(10)
Hmax =props(11)
kt =props(12)
SigCal =props(13)
n1 =props(14)
n2 =props(15)
n3 =props(16)
n4 =props(17)
x_initial =props(18)
Etd =nint(props(19))
Tube_Flag =nint(props(20))
Tube_Axis =nint(props(21))
Tube_Radius =props(22)
ELASTIC =nint(props(23))
Coupling =nint(props(24))
Model =nint(props(25))
! Tube Setup Codes
IF(Tube_Flag==1)THEN
IF(Tube_Axis==1)THEN
Rcur=sqrt(COORDS(2)**2+COORDS(3)**2)
ELSEIF(Tube_Axis==2)THEN
Rcur=sqrt(COORDS(1)**2+COORDS(3)**2)
ELSEIF(Tube_Axis==3)THEN
Rcur=sqrt(COORDS(2)**2+COORDS(1)**2)
END IF
RATIO=Rcur/Tube_Radius
elseif(Tube_Flag/=1)then
ratio=1._8
ENDIF
IF (JSTEP(1)==1.AND.KINC<=1) THEN
x =x_initial ! Check SMA phase
xo=x_initial
too=TEMP
transformation=0 ! Assuming first increment is elastic.
IF (x<=x_low_bound) then ! austensite
x=x_low_bound
flag_fwd=0 ! fwd allow
flag_rev=1 ! rev stop
elseif(x>=x_up_bound) then ! martensite
x=x_up_bound
flag_fwd=1 ! fwd stop
flag_rev=0 ! rev allow
elseif(x>=x_low_bound .and. x<=x_up_bound) then ! mixed phase
flag_fwd=0 ! fwd allow
flag_rev=0 ! rev allow
endif
IF(x<=X_LOW_BOUND) THEN ! TO AVOID SINGULARITY IN CASE X_INITIAL<=X_LOW_BOUND
LAMDAT_R(1:6)=0.0D0
ELSE
LAMDAT_R(1:6)=ET(1:6)/X
END IF
ELSE
CALL SDV_ASSIGN(x,xo,flag_fwd,flag_rev,transformation,et,eto,et_tr,Lamdat_r,rplc,BOUND_REACHED,NR_CONVERGENCE,too,STATEV,NSTATV)
ENDIF
! CALCULATE COMMON MATERIAL PROPERTIES such as: a1 a2 a3, rdso, rduo, Dc, Y
!DEC$ NOFREEFORM
t2 = SigCal**2
t3 = sqrt(t2)
t7 = kt*t3
t4 = exp(-t7)
t5 = ca+cm
t6 = 1.0D0/t5
t8 = t4-1.0D0
t9 = Hmax*t8
t10 = sa-sm
t11 = SigCal*t10
t14 = Hmax*kt*t3*t4
t12 = t9+t11-t14
t13 = af-as
t15 = mf-ms
t16 = n3+1.0D0
t17 = 1.0D0/t16
t18 = t17+1.0D0
t19 = n1+1.0D0
t20 = 1.0D0/t19
t21 = t20+1.0D0
A0(1,1) = ca*cm*t6*t12*t15*2.0D0
A0(1,2) = ca*cm*t6*t12*t13*(-2.0D0)
A0(1,3) = ca*cm*t6*t12*t13*t18*(-1.0D0/2.0D0)-ca*cm*t6*t12*t15*t21
&*(1.0D0/2.0D0)
A0(1,4) = ca*cm*t6*t12*2.0D0
A0(1,5) = ca*cm*t6*t12*(af+ms)
A0(1,6) = -(t6*t12*(ca-cm))/(t9-t14)
A0(1,7) = -ca*cm*t6*t12*(af-ms)+ca*cm*t6*t12*t13*t18*(1.0D0/2.0D0)
&+ca*cm*t6*t12*t15*t21*(1.0D0/2.0D0)
a1 =A0(1,1)
a2 =A0(1,2)
a3 =A0(1,3)
rdso =A0(1,4)
rduo =A0(1,5)
Dc =A0(1,6)
Yo =A0(1,7)
!DEC$ FREEFORM
if(NLGEOM==1)THEN ! 1-> ENABLED , 0--> DISABLED
FN=DFGRD0
FN1=DFGRD1
CALL FIND_LOG(RLOG,FN,FN1) !Find logarithmic incrementation rotation matrix.
CALL FIND_E(FN1,e) ! Find current total logarithmic strain e for n+1 step.
CALL FIND_E(FN,eo) ! Find previous total logarithmic strain eo for n step.
CALL ROTATION_SDV(eo,et,eto,et_tr,Lamdat_r,RLOG,NDI,NSHR) ! RLOG
ELSEIF(NLGEOM==0)THEN
e =STRAN+DSTRAN
eo=STRAN
ENDIF
!@@@@@@@@@@@@@ DEFINE COMMON MATRICES @@@@@@@@@@@@@@@@@@@@@@@@@@@
PARAM(1) =Sa
PARAM(2) =Sm
PARAM(3) =v
PARAM(4) =alpha
PARAM(5) =Ca
PARAM(6) =Cm
PARAM(7) =Ms
PARAM(8) =Mf
PARAM(9) =As
PARAM(10)=Af
PARAM(11)=Hmax
PARAM(12)=kt
PARAM(13)=n1
PARAM(14)=n2
PARAM(15)=n3
PARAM(16)=n4
PARAM(17)=a1
PARAM(18)=a2
PARAM(19)=a3
PARAM(20)=rdso
PARAM(21)=rduo
PARAM(22)=Dc
PARAM(23)=Yo
PARAM(24)=TOO
PARAM(25)=X_UP_BOUND
PARAM(26)=X_LOW_BOUND
PARAM(27)=RATIO
PARAM(28)=NLGEOM
PARAM(29)=ELASTIC
PARAM(30)=COUPLING
PARAM(31)=MODEL
VAR(1) = x
VAR(2) = xo
VAR(3) = real(flag_fwd)
VAR(4) = real(flag_rev)
VAR(5) = real(transformation)
VAR(6:11) = et(1:6)
VAR(12:17) = eto(1:6)
VAR(18:23) = et_tr(1:6)
VAR(24:29) = Lamdat_r(1:6)
VAR(30:35) = e(1:6)
VAR(36:41) = eo(1:6)
VAR(42) = RPLC
VAR(43) = real(BOUND_REACHED)
VAR(44) = real(NR_CONVERGENCE)
VAR(45) = TOO
END SUBROUTINE
SUBROUTINE ROTATION_SDV(eo,et,eto,et_tr,Lamdat_r,RLOG,NDI,NSHR)
IMPLICIT NONE
REAL*8 eo(6),et(6),eto(6),et_tr(6),Lamdat_r(6),RLOG(3,3)
integer nshr,ndi
!CALL ROTATION_PROCEDURE(eo,RLOG,2,NDI,NSHR)
CALL ROTATION_PROCEDURE(et,RLOG,2,NDI,NSHR)
CALL ROTATION_PROCEDURE(eto,RLOG,2,NDI,NSHR)
CALL ROTATION_PROCEDURE(et_tr,RLOG,2,NDI,NSHR)
CALL ROTATION_PROCEDURE(Lamdat_r,RLOG,2,NDI,NSHR)
end subroutine
SUBROUTINE ROTATION_PROCEDURE(A0,RLOG,INDEX1,NDI,NSHR)
IMPLICIT NONE
REAL*8 A0(NDI+NSHR),B0(NDI+NSHR),RLOG(3,3)
INTEGER INDEX1
integer nshr,ndi
! index 1 strain like variables
! index 2 stress like variables
B0=0
CALL ROTSIG(A0,RLOG,B0,INDEX1,NDI,NSHR)
A0=B0
END SUBROUTINE
SUBROUTINE SDV_ASSIGN(x,xo,flag_fwd,flag_rev,transformation,et,eto,et_tr,Lamdat_r,rplc,BOUND_REACHED,NR_CONVERGENCE,too,STATEV,NSTATV)
implicit none
!DEFINITION OF USER DEFINED DEPENDENT VARIABLES
REAL*8 x,xo
REAL*8 TOO,RPLC
REAL*8 e(6),eo(6),et(6),eto(6),Lamdat_r(6),et_tr(6)
INTEGER transformation,flag_fwd,flag_rev,NR_CONVERGENCE,BOUND_REACHED
integer NSTATV
real*8 STATEV(NSTATV)
x =statev(1)
xo =statev(1)
flag_fwd =nint(statev(2))
flag_rev =nint(statev(3))
transformation =nint(statev(4))
et(1:6) =statev(5:10)
eto(1:6) =statev(5:10)
et_tr(1:6) =statev(11:16)
Lamdat_r(1:6) =statev(17:22)
RPLC = statev(23)
BOUND_REACHED = nint(statev(24))
NR_CONVERGENCE = nint(statev(25))
TOO = statev(26)
end
SUBROUTINE PARAM_ASSIGNMENTS(PARAM,NPARAM,Sa,Sm,v,alpha,Ca,Cm,Ms,Mf,As,Af,Hmax,kt,n1,n2,n3,n4,a1,a2,a3,rdso,rduo,Dc,Yo,too,x_Up_Bound,x_Low_Bound,Ratio,NLGEOM,ELASTIC,COUPLING,MODEL)
IMPLICIT NONE
!DEFINITION OF USER DEFINED MODEL PARAMETERS
REAL*8 Sa,Sm,v,alpha,Ca,Cm,Ms,Mf,As,Af,Hmax,kt,n1,n2,n3,n4,a1,a2,a3,rdso,rduo,Dc,Yo,too,x_Up_Bound,x_Low_Bound,Ratio,kp
INTEGER NLGEOM,ELASTIC,COUPLING,MODEL
INTEGER NPARAM
REAL*8 PARAM(NPARAM)
!@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ CODE START @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
Sa =PARAM(1)
Sm =PARAM(2)
v =PARAM(3)
Alpha =PARAM(4)
Ca =PARAM(5)
Cm =PARAM(6)
Ms =PARAM(7)
Mf =PARAM(8)
As =PARAM(9)
Af =PARAM(10)
Hmax =PARAM(11)
kt =PARAM(12)
n1 =PARAM(13)
n2 =PARAM(14)
n3 =PARAM(15)
n4 =PARAM(16)
a1 =PARAM(17)
a2 =PARAM(18)
a3 =PARAM(19)
rdso =PARAM(20)
rduo =PARAM(21)
Dc =PARAM(22)
Yo =PARAM(23)
TOO =PARAM(24)
X_UP_BOUND =PARAM(25)
X_LOW_BOUND =PARAM(26)
RATIO =PARAM(27)
NLGEOM =nint(PARAM(28))
ELASTIC =nint(PARAM(29))
COUPLING =nint(PARAM(30))
MODEL =nint(PARAM(31))
END SUBROUTINE
SUBROUTINE VAR_ASSIGNMENTS(INDEX,VAR,NVAR,x,xo,flag_fwd,flag_rev,Transformation,et,eto,et_tr,lamdat_r,e,eo,RPLC,Bound_Reached,NR_Convergence,too)
IMPLICIT NONE
!DEFINITIONS OF ARGUMENTS SPECIFIC FOR THIS SUBROUTINE
INTEGER INDEX
!DEFINITION OF USER DEFINED DEPENDENT VARIABLES
REAL*8 x,xo
REAL*8 too,RPLC
REAL*8 e(6),eo(6),et(6),eto(6),Lamdat_r(6),et_tr(6)
INTEGER flag_fwd,flag_rev,Transformation,Bound_Reached,NR_Convergence
REAL*8 VAR(NVAR)
INTEGER NVAR
!@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ CODE START @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
IF (INDEX==1)THEN
x = VAR(1)
xo = VAR(2)
flag_fwd = nint(VAR(3))
flag_rev = nint(VAR(4))
transformation = nint(VAR(5))
et(1:6) = VAR(6:11)
eto(1:6) = VAR(12:17)
et_tr(1:6) = VAR(18:23)
Lamdat_r(1:6) = VAR(24:29)
e(1:6) = VAR(30:35)
eo(1:6) = VAR(36:41)
rplc = VAR(42)
BOUND_REACHED = nint(VAR(43))
NR_CONVERGENCE = nint(VAR(44))
TOO = VAR(45)
ELSEIF (INDEX==2)THEN
VAR(1) = x
VAR(2) = xo
VAR(3) = real(flag_fwd)
VAR(4) = real(flag_rev)
VAR(5) = real(transformation)
VAR(6:11) = et(1:6)
VAR(12:17) = eto(1:6)
VAR(18:23) = et_tr(1:6)
VAR(24:29) = Lamdat_r(1:6)
VAR(30:35) = e(1:6)
VAR(36:41) = eo(1:6)
VAR(42) = RPLC
VAR(43) = real(BOUND_REACHED)
VAR(44) = real(NR_CONVERGENCE)
VAR(45) = TOO
ENDIF
END SUBROUTINE
subroutine ELASTIC_PREDICTOR(PARAM,NPARAM,VAR,NVAR,TEMP,DTEMP,STATEV,NSTATV,time)
IMPLICIT NONE
!DEFINITION OF ABAQUS PROVIDED VARIABLES
REAL*8 TEMP,DTEMP,STATEV(NSTATV)
INTEGER NSTATV
!DEFINITION OF INPUT MODEL PARAMETERS
REAL*8 Sa,Sm,v,alpha,Ca,Cm,Ms,Mf,As,Af,Hmax,kt,n1,n2,n3,n4,a1,a2,a3,rdso,rduo,Dc,Yo,too,x_Up_Bound,x_Low_Bound,Ratio
integer NLGEOM,ELASTIC,COUPLING,MODEL
INTEGER NPARAM
REAL*8 PARAM(NPARAM)
!DEFINITION OF USER DEFINED DEPENDENT VARIABLES
REAL*8 x,xo
REAL*8 RPLC
REAL*8 e(6),eo(6),et(6),eto(6),Lamdat_r(6),et_tr(6)
INTEGER flag_fwd,flag_rev,Transformation,Bound_Reached,NR_Convergence
REAL*8 VAR(NVAR)
INTEGER NVAR
REAL*8 Tn, Tn1, time(2)
! variables using in ELASTIC_PREDICTOR_subroutine
REAL*8 PHI_Fwd_Cur,PHI_Fwd_Pre,PHI_Rev_Cur,PHI_Rev_Pre,DelPHI_Fwd,DelPHI_Rev,stress(6)
INTEGER load_DIR, checknan(10), checkinf(10), index1, index2
checknan=0
checkinf=0
CALL PARAM_ASSIGNMENTS(PARAM,NPARAM,Sa,Sm,v,alpha,Ca,Cm,Ms,Mf,As,Af,Hmax,kt,n1,n2,n3,n4,a1,a2,a3,rdso,rduo,Dc,Yo,too,x_Up_Bound,x_Low_Bound,Ratio,NLGEOM,ELASTIC,COUPLING,MODEL)
CALL VAR_ASSIGNMENTS(1,VAR,NVAR,x,xo,flag_fwd,flag_rev,Transformation,et,eto,et_tr,lamdat_r,e,eo,RPLC,Bound_Reached,NR_Convergence,too)
!CALL STRESS_UPDATE(PARAM,NPARAM,VAR,NVAR,temp+dtemp,stress)
if (temp<=0) then
temp=1.0e-8
endif
Tn=temp !previous temp
Tn1=temp+dtemp !current temp
CALL PHI_Cal(PARAM,NPARAM,x,e,et,et_tr,Lamdat_r,Tn1,too,PHI_Fwd_Cur,1)
CALL check_nan1(PHI_Fwd_Cur,1,checknan(1))
CALL check_inf1(PHI_Fwd_Cur,1,checkinf(1))
if(checknan(1)==1)then
write(*,*)'NAN in PHI_Fwd_Cur'
endif
if(checkinf(1)==1)then
write(*,*)'INF in PHI_Fwd_Cur'
endif
CALL PHI_Cal(PARAM,NPARAM,xo,eo,eto,et_tr,Lamdat_r,Tn,too,PHI_Fwd_Pre,1)
CALL check_nan1(PHI_Fwd_Pre,1,checknan(2))
CALL check_inf1(PHI_Fwd_Pre,1,checkinf(2))
if(checknan(2)==1)then
write(*,*)'NAN in PHI_Fwd_Pre'
endif
if(checkinf(2)==1)then
write(*,*)'INF in PHI_Fwd_Pre'
endif
CALL PHI_Cal(PARAM,NPARAM,x,e,et,et_tr,Lamdat_r,Tn1,too,PHI_Rev_Cur,-1)
CALL check_nan1(PHI_Rev_Cur,1,checknan(3))
CALL check_inf1(PHI_Rev_Cur,1,checkinf(3))
if(checknan(3)==1)then
write(*,*)'NAN in PHI_Rev_Cur'
endif
if(checkinf(3)==1)then
write(*,*)'INF in PHI_Rev_Cur'
endif
CALL PHI_Cal(PARAM,NPARAM,xo,eo,eto,et_tr,Lamdat_r,Tn,too,PHI_Rev_Pre,-1)
CALL check_nan1(PHI_Rev_Pre,1,checknan(4))
CALL check_inf1(PHI_Rev_Pre,1,checkinf(4))
if(checknan(4)==1)then
write(*,*)'NAN in PHI_Rev_Pre'
endif
if(checkinf(4)==1)then
write(*,*)'INF in PHI_Rev_Pre'
endif
if (maxval(checknan)==1 .or. maxval(checkinf)==1 )then
! write(*,*)'Current time is***************', propsUR(29)
! write(*,*)"kinc",kinc
! write(*,*)"npt",npt
! write(*,*)"noel",noel
write(*,*)"Volume Fraction",x
write(*,*)"transformation",transformation
write(*,*)"flag_fwd",flag_fwd
write(*,*)"flag_rev",flag_rev
! write(*,*)"ep",ep
write(*,*)"et",et
! write(*,*)"stress",stress
write(*,*)"lamdat_r",lamdat_r
! write(*,*)'JACOBIAN_MATRIX'
! write(*,*),DDSDDE
!read(*,*),variable
endif
DelPHI_Fwd = PHI_Fwd_Cur-PHI_Fwd_Pre
DelPHI_Rev = PHI_Rev_Cur-PHI_Rev_Pre
! Specify loading direction
if (DelPHI_Fwd>0 .and. DelPHI_Rev<=0 ) then ! Loading
Load_DIR=1
elseif (DelPHI_Fwd<=0 .and. DelPHI_Rev>0 ) then ! Unloading
Load_DIR=-1
elseif (DelPHI_Fwd==0 .and. DelPHI_Rev==0 ) then ! stay the same
Load_DIR=0
else ! wierd uncertain loading condition
Load_DIR=2
endif
! Specify whether transformation happens
IF(Load_DIR==0)then
transformation=0
ELSEIF (Load_DIR==1)then
if(PHI_Fwd_Cur<=0) then
transformation=0
elseif(PHI_Fwd_Cur>0)then
IF(flag_fwd==0)then
transformation=1
else ! Forward finished
transformation=0
endif
endif
ELSEIF(Load_DIR==-1)then
if(PHI_Rev_Cur<=0) then
transformation=0
elseif(PHI_Rev_Cur>0)then
if(flag_rev==0)then
transformation=-1
else ! Reverse finished
transformation=0
endif
endif
ELSEIF(Load_DIR==2)then
if(PHI_Fwd_Cur<0 .and. PHI_Rev_Cur<0)then
transformation=0
elseif(PHI_Fwd_Cur>0 .and. PHI_Rev_Cur<0)then
if(flag_fwd==0 .and. DelPHI_Fwd>0)THEN
transformation=1
else
transformation=0
endif
elseif(PHI_Fwd_Cur<0 .and. PHI_Rev_Cur>0)then
if(flag_rev==0 .and. DelPHI_Rev>0)THEN
transformation=-1
else
transformation=0
endif
elseif(PHI_Fwd_Cur>0 .and. PHI_Rev_Cur>0)then
if(nint(STATEV(8))==1) then
if(flag_fwd==0) then
transformation=1
else
transformation=0
endif
elseif (nint(STATEV(8))==-1) then
if(flag_rev==0 ) then
transformation=-1
else
transformation=0
endif
elseif (nint(STATEV(8))==0) then
if(DelPHI_Fwd>=DelPHI_Rev)then
if(flag_fwd==0) then
transformation=1
else
transformation=0
endif
elseif(DelPHI_Fwd<DelPHI_Rev)then
if(flag_rev==0 ) then
transformation=-1
else
transformation=0
endif
endif
endif
endif
ENDIF
CALL VAR_ASSIGNMENTS(2,VAR,NVAR,x,xo,flag_fwd,flag_rev,Transformation,et,eto,et_tr,lamdat_r,e,eo,RPLC,Bound_Reached,NR_Convergence,too)
end subroutine
Subroutine TRANS_CORRECTOR(PARAM,NPARAM,VAR,NVAR,TEMP,DTEMP)
IMPLICIT NONE
!DEFINITION OF ABAQUS PROVIDED VARIABLES
REAL*8 TEMP,DTEMP
!DEFINITION OF INPUT MODEL PARAMETERS
REAL*8 Sa,Sm,v,alpha,Ca,Cm,Ms,Mf,As,Af,Hmax,kt,n1,n2,n3,n4,a1,a2,a3,rdso,rduo,Dc,Yo,too,x_Up_Bound,x_Low_Bound,Ratio
integer NLGEOM,ELASTIC,COUPLING,MODEL
INTEGER NPARAM
REAL*8 PARAM(NPARAM)
!DEFINITION OF USER DEFINED DEPENDENT VARIABLES
REAL*8 x,xo
REAL*8 RPLC
REAL*8 e(6),eo(6),et(6),eto(6),Lamdat_r(6),et_tr(6)
INTEGER flag_fwd,flag_rev,Transformation,Bound_Reached,NR_Convergence
REAL*8 VAR(NVAR)
INTEGER NVAR
REAL*8 Tn, Tn1
real*8 NR_RE(7), NR_JAC(7,7), NR_JAC_INV(7,7),du(7),NR_JAC1(7,7),Residual(2)
integer Iter, ii, jj,output(4)
CALL PARAM_ASSIGNMENTS(PARAM,NPARAM,Sa,Sm,v,alpha,Ca,Cm,Ms,Mf,As,Af,Hmax,kt,n1,n2,n3,n4,a1,a2,a3,rdso,rduo,Dc,Yo,too,x_Up_Bound,x_Low_Bound,Ratio,NLGEOM,ELASTIC,COUPLING,MODEL)
CALL VAR_ASSIGNMENTS(1,VAR,NVAR,x,xo,flag_fwd,flag_rev,Transformation,et,eto,et_tr,lamdat_r,e,eo,RPLC,Bound_Reached,NR_Convergence,too)
Tn=temp
Tn1=temp+dtemp
NR_CONVERGENCE=0
Iter=0
NR_RE=0
NR_JAC=0
NR_JAC_INV=0
du=0
residual(1)=10
residual(2)=10
DO WHILE (NR_CONVERGENCE==0 .and. Iter<=100)
CALL N_R_Residual(PARAM,NPARAM,VAR,NVAR,Tn1,transformation,NR_RE)
residual(1)=maxval(abs(NR_RE(1:6)))
residual(2)=abs(NR_RE(7))
if(residual(1)<1E-8_8 .and. residual(2)<1.0e-6_8) then
!write(*,*)"iteration",Iter
NR_CONVERGENCE=1
else
CALL N_R_JAC(PARAM,NPARAM,VAR,NVAR,Tn1,transformation,NR_JAC)
NR_JAC1=NR_JAC
CALL inverse(NR_JAC1,NR_JAC_INV,7)
du=-matmul(NR_JAC_INV,NR_RE)
et=et+du(1:6:1)
x=x+du(7)
!***************Debug Part***************
output=0
call check_inf1(NR_RE,7,output(1))
call check_inf2(NR_JAC,7,output(2))
call check_nan1(NR_RE,7,output(3))
call check_nan2(NR_JAC,7,output(4))
if(output(1)==1.or.output(2)==1.or.output(3)==1.or.output(4)==1)then
!write(*,*)' Total time at beginning of current increment',propsUR(29)
write(*,*)"output",output
write(*,*)"transformation",transformation
!write(*,*)"kinc",kinc1
write(*,*)"iteration",Iter
!write(*,*)"Element number",noel1
!write(*,*)"Integration number",npt1
write(*,*)"Volume Frac.",x
write(*,*)"Old Vol. Frac.",xo
write(*,*)"temperature",Tn1
write(*,*)"E********************************************"
write(*,*),e
write(*,*)"Eo********************************************"
write(*,*),eo
write(*,*)"ET********************************************"
write(*,*),ET
write(*,*)"ETo********************************************"
write(*,*),ETo
write(*,*)"du********************************************"
write(*,*),du
write(*,*)"ET_tr********************************************"
write(*,*),ET_tr
write(*,*)"lamdat_r********************************************"
write(*,*),lamdat_r
do ii=1,7
do jj=1,7
write(*,*)"NR_JAC",NR_JAC(ii,jj),ii,jj
enddo
enddo
stop
endif
!***************Debug Part***************
if(Iter>=20 .and. residual(1)<1E-4_8 .and. residual(2)<1.0e-2_8) then
! if(Iter>=50) then
NR_CONVERGENCE=1
!write(*,*)' Total time at beginning of current increment',propsUR(29)
WRITE(*,*)"************delta x or du(7)=",du(7)
WRITE(*,*)"Hard to Converge in Newton_Raphson, Iter=",Iter
endif
iter=iter+1 !
!******TRANSFORMATION_ADJUSTMENTS*********
if(X_LOW_BOUND<=x<=X_UP_BOUND)then ! mixed phase, both fwd and rev can happens
flag_fwd=0
flag_rev=0
endif
if(transformation==1 .and. x>=X_UP_BOUND)then
x=X_UP_BOUND
NR_CONVERGENCE=1
flag_fwd=1 ! Forward transformation finished
flag_rev= 0
endif
if(transformation==1 .and.x<=X_LOW_BOUND)then
x=X_LOW_BOUND
flag_fwd=0
flag_rev=1
endif
if(transformation==-1.and. x<=X_LOW_BOUND)then
x=X_LOW_BOUND
et=0
NR_CONVERGENCE=1
flag_fwd=0
flag_rev=1 ! Reverse transformation finished
endif
if(transformation==-1.and. x>=X_UP_BOUND)then
x=X_UP_BOUND
flag_fwd=1
flag_rev=0
endif
endif
if(transformation==1)then
Lamdat_r=et/x ! THOSE VALUES ARE UPDATED ONLY DURING FORWARD TRANSFORMATION
et_tr=et
endif
CALL VAR_ASSIGNMENTS(2,VAR,NVAR,x,xo,flag_fwd,flag_rev,Transformation,et,eto,et_tr,lamdat_r,e,eo,RPLC,Bound_Reached,NR_Convergence,too)
end do
end
Subroutine PHI_Cal(PARAM,NPARAM,x,e,et,et_tr,lamdat_r,Tn,too,phi,index1)
implicit real*8 (t)
!DEFINITION OF INPUT MODEL PARAMETERS
REAL*8 Sa,Sm,v,alpha,Ca,Cm,Ms,Mf,As,Af,Hmax,kt,n1,n2,n3,n4,a1,a2,a3,rdso,rduo,Dc,Yo,too,x_Up_Bound,x_Low_Bound,Ratio
integer NLGEOM,ELASTIC,COUPLING,MODEL
INTEGER NPARAM
REAL*8 PARAM(NPARAM)
real*8 Tn
! Changing state variables
real*8 e(6),et(6),ep(6),et_tr(6),Lamdat_r(6),backstress(6),stress(6)
real*8 x,xo,xd,xdo,zt,zto,ztd,ztdo
real*8 e1,e2,e3,e4,e5,e6,et1,et2,et3,et4,et5,et6,ep1,ep2,ep3,ep4,ep5,ep6,et_tr1,et_tr2,et_tr3,et_tr4,et_tr5,et_tr6
real*8 lamdat_r1,lamdat_r2,lamdat_r3,lamdat_r4,lamdat_r5,lamdat_r6,bs1,bs2,bs3,bs4,bs5,bs6
real*8 phi
CALL PARAM_ASSIGNMENTS(PARAM,NPARAM,Sa,Sm,v,alpha,Ca,Cm,Ms,Mf,As,Af,Hmax,kt,n1,n2,n3,n4,a1,a2,a3,rdso,rduo,Dc,Yo,too,x_Up_Bound,x_Low_Bound,Ratio,NLGEOM,ELASTIC,COUPLING,MODEL)
if (too<=0)then
too=1.0d-10
endif
if (x<1.0e-8)then
x=1.0e-8
endif
if (x>=1.0d0)then
x=1.0d0-1.0e-8
endif
phi=0
e1=e(1)
e2=e(2)
e3=e(3)
e4=e(4)
e5=e(5)
e6=e(6)
if(maxval(abs(e))<=1.0e-8)then
e1=1.0e-8_8
end if
et1=et(1)
et2=et(2)
et3=et(3)
et4=et(4)
et5=et(5)
et6=et(6)
if(maxval(abs(et))<=1.0e-9)then
et1=1.0e-9_8
end if
et_tr1=et_tr(1)
et_tr2=et_tr(2)
et_tr3=et_tr(3)
et_tr4=et_tr(4)
et_tr5=et_tr(5)
et_tr6=et_tr(6)
if(maxval(abs(et_tr))<=1.0e-10)then
et_tr1=1.0e-10_8
end if
lamdat_r1=lamdat_r(1)
lamdat_r2=lamdat_r(2)
lamdat_r3=lamdat_r(3)
lamdat_r4=lamdat_r(4)
lamdat_r5=lamdat_r(5)
lamdat_r6=lamdat_r(6)
!DEC$ NOFREEFORM
if(index1==1) then !Forward
t2 = Sm*x
t11 = Sa*x
t3 = Sa+t2-t11
t4 = 1.0D0/t3
t5 = v**2
t6 = t5*2.0D0
t7 = t6+v-1.0D0
t8 = 1.0D0/t7
t9 = Tn-too
t10 = alpha*t9
t12 = Sa-Sm
t13 = -e1+et1+t10
t14 = t4*t8*t13*v
t15 = -e3+et3+t10
t16 = v-1.0D0
t17 = -e2+et2+t10
t18 = t4*t8*t17*v
t19 = t4*t8*t15*v
t28 = t4*t8*t16*t17
t20 = t14+t19-t28
t26 = t4*t8*t15*t16
t21 = t14+t18-t26
t25 = t4*t8*t13*t16
t22 = t18+t19-t25
t23 = t12*t22*v
t24 = t4*t8*t13*v*(1.0D0/2.0D0)
t27 = t12*t21*v
t29 = t12*t20*v
t30 = t4*t8*t17*v*(1.0D0/2.0D0)
t31 = t4*t8*t15*v*(1.0D0/2.0D0)
t32 = e4-et4
t33 = v*2.0D0
t34 = t33+2.0D0
t35 = e5-et5
t36 = v+1.0D0
t37 = 1.0D0/t36**2
t38 = 1.0D0/t3**2
t39 = e6-et6
t40 = abs(t36)
t41 = e1*et2*4.0D0
t42 = e2*et1*4.0D0
t43 = e1*et3*4.0D0
t44 = e3*et1*4.0D0
t45 = e2*et3*4.0D0
t46 = e3*et2*4.0D0
t47 = e1**2
t48 = t47*4.0D0
t49 = e2**2
t50 = t49*4.0D0
t51 = e3**2
t52 = t51*4.0D0
t53 = e4**2
t54 = t53*3.0D0