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UMAT_F_3D_FUNG.f
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!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!! !!!
!!! Created by Martin Genet, 2008-2016 !!!
!!! !!!
!!! Laboratoire de Mécanique et de Technologie (LMT), Cachan, France !!!
!!! Lawrence Berkeley National Laboratory, California, USA !!!
!!! University of California at San Francisco, USA !!!
!!! Swiss Federal Institute of Technology (ETH), Zurich, Switzerland !!!
!!! École Polytechnique, Palaiseau, France !!!
!!! !!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! ----------------
! --------------------------------------------------------- INCLUDES ---
! ----------------
#include "UTILS/PRINT_UMAT_DATA.f"
#include "UTILS/VEC_MAT_TOOLS.f"
#include "ALGORITHMS/AITKEN.f"
#include "FINITE TRANSFORMATION/PUSH_FORWARD.f"
#include "FINITE TRANSFORMATION/JAUMANN.f"
! --------------
! ----------------------------------------------------------- SDVINI ---
! --------------
! SUBROUTINE SDVINI(STATEV, COORDS, NSTATV, NCRDS, NOEL, NPT, LAYER, KSPT)
! INCLUDE 'ABA_PARAM.INC'
!
! INTEGER NSTATV, NCRDS, NOEL, NPT, LAYER, KSPT
! DOUBLE PRECISION STATEV(NSTATV), COORDS(NCRDS)
!
! ! STATEV(1) = 1. ! THE_G
! ! STATEV(2) = 1. ! DETFG
! ! STATEV(3) = 1. ! DETFE
! ! STATEV(4) = 1. ! DETF
!
! ! PRINT *, "STATEV = ", STATEV
!
! RETURN
! END SUBROUTINE SDVINI
! ------------------
! ------------------------------------------------------- IS_GROWING ---
! ------------------
LOGICAL FUNCTION IS_GROWING(T, LAMBDAG_TINI, LAMBDAG_TFIN)
IMPLICIT NONE
DOUBLE PRECISION LAMBDAG_MAX, T, LAMBDAG_TINI, LAMBDAG_TFIN
! IF ((INT(MOD(T+3-1e-9, 4.)) == 0)) THEN
! IS_GROWING = .TRUE.
! ELSE
! IS_GROWING = .FALSE.
! ENDIF
! ! PRINT *, "MOD = ", MOD(T+2-1e-9, 3.)
! ! PRINT *, "IS_GROWING = ", IS_GROWING
! IF ((INT(MOD(T+2-1e-9, 3.)) == 0)) THEN
! IS_GROWING = .TRUE.
! ELSE
! IS_GROWING = .FALSE.
! ENDIF
! ! PRINT *, "MOD = ", MOD(T+2-1e-9, 3.)
! ! PRINT *, "IS_GROWING = ", IS_GROWING
IF ((T .GT. LAMBDAG_TINI) .AND. (T .LE. LAMBDAG_TFIN)) THEN
IS_GROWING = .TRUE.
ELSE
IS_GROWING = .FALSE.
ENDIF
RETURN
END FUNCTION IS_GROWING
! ----------------
! ------------------------------------------------------- UMAT_3D_FUNG -
! ----------------
SUBROUTINE UMAT_3D_FUNG (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, KSTEP, KINC)
IMPLICIT NONE
! -------------------------------------------------- INPUT VARIABLES ---
CHARACTER*80 CMNAME
INTEGER NDI, NSHR, NTENS, NSTATV, NPROPS, NOEL, NPT, LAYER, KSPT, KSTEP, KINC
DOUBLE PRECISION STRESS(NTENS), STATEV(NSTATV), DDSDDE(NTENS,NTENS), SSE, SPD, SCD, RPL, DDSDDT(NTENS), DRPLDE(NTENS), DRPLDT, STRAN(NTENS), DSTRAN(NTENS), TIME(2), DTIME, TEMP, DTEMP, PREDEF, DPRED, PROPS(NPROPS), COORDS(NDI), DROT(NDI,NDI), PNEWDT, CELENT, DFGRD0(NDI,NDI), DFGRD1(NDI,NDI)
! CALL PRINT_UMAT_DATA(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, KSTEP, KINC)
! -------------------------------------------------- LOCAL VARIABLES ---
INTEGER I, J, K, L, IJ, KL, GET_IJ, GET_I, GET_J
DOUBLE PRECISION C0, B01111, B02222, B03333, B01212, B01313, B02323, T, DT, IDNDI(NDI,NDI), FT(NDI,NDI), DET33, DETFT, CT(NDI,NDI), ET(NDI,NDI), FE(NDI,NDI), DETFE, CE(NDI,NDI), EE(NDI,NDI), EXP_TERM, PK2_VEC(NTENS), PK2_MAT(NDI,NDI), STRESS_MAT(NDI,NDI), H(NTENS,NTENS)
LOGICAL IS_GROWING
INTEGER LAMBDAG_NUM_IT
DOUBLE PRECISION LAMBDAG_TINI, LAMBDAG_TFIN, LAMBDAG_XMIN, LAMBDAG_XMAX, LAMBDAG_GAMMA, LAMBDAG_TAU, LAMBDAG_MIN, LAMBDAG_MAX, LAMBDAG_DOT, LAMBDAG_OLD, LAMBDAG_RES, LAMBDAG_RES_OLD, LAMBDAG, LAMBDAG_X, POS_PART, LAMBDAG_ERR, LAMBDAG_RELAX
! --------------------------------------------------- INITIALIZATION ---
DT = DTIME
T = TIME(2)+DT
CALL SETID33(IDNDI)
FT = DFGRD1
DETFT = DET33(FT)
CT = MATMUL(TRANSPOSE(FT), FT)
ET = (CT - IDNDI)/2
C0 = PROPS(1)
B01111 = PROPS(2)
B02222 = PROPS(3)
B03333 = PROPS(4)
B01212 = PROPS(5)
B01313 = PROPS(6)
B02323 = PROPS(7)
LAMBDAG_TINI = PROPS( 9)
LAMBDAG_TFIN = PROPS(10)
LAMBDAG_XMIN = PROPS(11)
LAMBDAG_XMAX = PROPS(12)
LAMBDAG_GAMMA = PROPS(13)
LAMBDAG_TAU = PROPS(14)
LAMBDAG_MIN = PROPS(15)
LAMBDAG_MAX = PROPS(16)
LAMBDAG_X = STATEV(1)
LAMBDAG = STATEV(2)
! ------------------------------------------------------ GROWTH LOOP ---
LAMBDAG_OLD = LAMBDAG
LAMBDAG_DOT = 0.
LAMBDAG_NUM_IT = 0
DO
! LAMBDAG
LAMBDAG = LAMBDAG_OLD + LAMBDAG_DOT*DT
! PRINT *, "LAMBDAG = ", LAMBDAG
! FE, CE, EE
FE = FT / (1.+LAMBDAG)
CE = MATMUL(TRANSPOSE(FE), FE)
EE = (CE - IDNDI)/2
! PRINT *, "FE = ", FE
! PRINT *, "CE = ", CE
! PRINT *, "EE = ", EE
! STRAN = STRAN + DSTRAN
! PRINT *, "STRAN = ", STRAN
! EXP_TERM
EXP_TERM = B01111*EE(1,1)**2 &
+ B02222*EE(2,2)**2 &
+ B03333*EE(3,3)**2 &
+ B01212*EE(1,2)**2 &
+ B01212*EE(1,2)*EE(2,1) &
+ B01212*EE(2,1)*EE(1,2) &
+ B01212*EE(2,1)**2 &
+ B01313*EE(1,3)**2 &
+ B01313*EE(1,3)*EE(3,1) &
+ B01313*EE(3,1)*EE(1,3) &
+ B01313*EE(3,1)**2 &
+ B02323*EE(2,3)**2 &
+ B02323*EE(2,3)*EE(3,2) &
+ B02323*EE(3,2)*EE(2,3) &
+ B02323*EE(3,2)**2
! PRINT *, "EXP_TERM = ", EXP_TERM
IF (EXP_TERM .GT. 700) THEN
PRINT *, "STEP ", KSTEP, ", INCREMENT ", KINC, ", ELEMENT ", NOEL, ", INTEGRATION POINT ", NPT, ": TOO LARGE DEFORMATION…"
EXP_TERM = 700
PNEWDT = 0.5
EXIT
ENDIF
EXP_TERM = EXP(EXP_TERM)
! PRINT *, "EXP_TERM = ", EXP_TERM
! LAMBDAG_X
! LAMBDAG_X = SQRT(CE(1,1))
LAMBDAG_X = (1./(1.+LAMBDAG)**3) * C0 * EXP_TERM * ( B01111*EE(1,1)*CT(1,1) &
+ B02222*EE(2,2)*CT(2,2) &
+ B03333*EE(3,3)*CT(3,3) &
+4*B01212*EE(1,2)*CT(1,2) &
+4*B01313*EE(1,3)*CT(1,3) &
+4*B02323*EE(2,3)*CT(2,3))
! LAMBDAG_RES
IF (IS_GROWING(T, LAMBDAG_TINI, LAMBDAG_TFIN)) THEN
LAMBDAG_RES_OLD = LAMBDAG_RES
LAMBDAG_RES = 1./LAMBDAG_TAU
IF (LAMBDAG_X .GT. LAMBDAG_XMAX) THEN
LAMBDAG_RES = LAMBDAG_RES * (LAMBDAG_X-LAMBDAG_XMAX)**LAMBDAG_GAMMA
IF ((LAMBDAG .GT. 0.) .AND. (LAMBDAG .LT. LAMBDAG_MAX)) THEN
LAMBDAG_RES = LAMBDAG_RES * (1. - (LAMBDAG/LAMBDAG_MAX)**LAMBDAG_GAMMA)
ELSEIF (LAMBDAG .GE. LAMBDAG_MAX) THEN
LAMBDAG_RES = 0.
ENDIF
ELSEIF (LAMBDAG_X .LT. LAMBDAG_XMIN) THEN
LAMBDAG_RES = - LAMBDAG_RES * (LAMBDAG_XMIN-LAMBDAG_X)**LAMBDAG_GAMMA
IF ((LAMBDAG .LT. 0.) .AND. (LAMBDAG .GT. LAMBDAG_MIN)) THEN
LAMBDAG_RES = LAMBDAG_RES * (1. - (LAMBDAG/LAMBDAG_MIN)**LAMBDAG_GAMMA)
ELSEIF (LAMBDAG .LE. LAMBDAG_MIN) THEN
LAMBDAG_RES = 0.
ENDIF
ELSE
LAMBDAG_RES = 0.
ENDIF
LAMBDAG_RES = LAMBDAG_DOT - LAMBDAG_RES
ELSE
EXIT
ENDIF
! EXIT TEST
LAMBDAG_ERR = ABS(LAMBDAG_RES)*DT
IF (LAMBDAG_ERR .LT. 1E-6) THEN
EXIT
ENDIF
IF (LAMBDAG_NUM_IT .GT. 100) THEN
PRINT *, "STEP ", KSTEP, ", INCREMENT ", KINC, ", ELEMENT ", NOEL, ", INTEGRATION POINT ", NPT, ": TOO MANY GROWTH ITERATION…"
PNEWDT = 0.5
EXIT
ENDIF
! RELAXATION
CALL AITKEN(LAMBDAG_RELAX, LAMBDAG_NUM_IT, LAMBDAG_RES, LAMBDAG_RES_OLD)
! LAMBDAG_DOT
LAMBDAG_DOT = LAMBDAG_DOT - LAMBDAG_RELAX * LAMBDAG_RES
! COUNTER
LAMBDAG_NUM_IT = LAMBDAG_NUM_IT + 1
ENDDO
! ----------------------------------------------------------- STRESS ---
! SECOND PIOLA KIRSCHOFF STRESS
PK2_VEC(1) = C0 * EXP_TERM * B01111*EE(1,1)
PK2_VEC(2) = C0 * EXP_TERM * B02222*EE(2,2)
PK2_VEC(3) = C0 * EXP_TERM * B03333*EE(3,3)
PK2_VEC(4) = C0 * EXP_TERM * 2*B01212*EE(1,2)
PK2_VEC(5) = C0 * EXP_TERM * 2*B01313*EE(1,3)
PK2_VEC(6) = C0 * EXP_TERM * 2*B02323*EE(2,3)
! PRINT *, "PK2_VEC = ", PK2_VEC
! CAUCHY STRESS
CALL MATSYM33_FROM_VECCOL6(PK2_MAT, PK2_VEC)
CALL CAUCHYSTRESS33_FROM_PK2STRESS33(STRESS_MAT, PK2_MAT, FT)
CALL VECCOL6_FROM_MATSYM33(STRESS, STRESS_MAT)
! PRINT *, "STRESS = ", STRESS
! --------------------------------------------------------- JACOBIAN ---
! TANGENT IN TERMS OF SECOND PIOLA KIRSCHOFF STRESS
H = 0.
H(1,1) = C0 * EXP_TERM * (B01111+2*B01111*EE(1,1)*B01111*EE(1,1))
H(1,2) = C0 * EXP_TERM * ( 2*B01111*EE(1,1)*B02222*EE(2,2))
H(1,3) = C0 * EXP_TERM * ( 2*B01111*EE(1,1)*B03333*EE(3,3))
H(1,4) = C0 * EXP_TERM * ( 4*B01111*EE(1,1)*B01212*EE(1,2))
H(1,5) = C0 * EXP_TERM * ( 4*B01111*EE(1,1)*B01313*EE(1,3))
H(1,6) = C0 * EXP_TERM * ( 4*B01111*EE(1,1)*B02323*EE(2,3))
H(2,1) = C0 * EXP_TERM * ( 2*B02222*EE(2,2)*B01111*EE(1,1))
H(2,2) = C0 * EXP_TERM * (B02222+2*B02222*EE(2,2)*B02222*EE(2,2))
H(2,3) = C0 * EXP_TERM * ( 2*B02222*EE(2,2)*B03333*EE(3,3))
H(2,4) = C0 * EXP_TERM * ( 4*B02222*EE(2,2)*B01212*EE(1,2))
H(2,5) = C0 * EXP_TERM * ( 4*B02222*EE(2,2)*B01313*EE(1,3))
H(2,6) = C0 * EXP_TERM * ( 4*B02222*EE(2,2)*B02323*EE(2,3))
H(3,1) = C0 * EXP_TERM * ( 2*B03333*EE(3,3)*B01111*EE(1,1))
H(3,2) = C0 * EXP_TERM * ( 2*B03333*EE(3,3)*B02222*EE(2,2))
H(3,3) = C0 * EXP_TERM * (B03333+2*B03333*EE(3,3)*B03333*EE(3,3))
H(3,4) = C0 * EXP_TERM * ( 4*B03333*EE(3,3)*B01212*EE(1,2))
H(3,5) = C0 * EXP_TERM * ( 4*B03333*EE(3,3)*B01313*EE(1,3))
H(3,6) = C0 * EXP_TERM * ( 4*B03333*EE(3,3)*B02323*EE(2,3))
H(4,1) = C0 * EXP_TERM * ( 4*B01212*EE(1,2)*B01111*EE(1,1))
H(4,2) = C0 * EXP_TERM * ( 4*B01212*EE(1,2)*B02222*EE(2,2))
H(4,3) = C0 * EXP_TERM * ( 4*B01212*EE(1,2)*B03333*EE(3,3))
H(4,4) = C0 * EXP_TERM * (B01212+8*B01212*EE(1,2)*B01212*EE(1,2))
H(4,5) = C0 * EXP_TERM * ( 8*B01212*EE(1,2)*B01313*EE(1,3))
H(4,6) = C0 * EXP_TERM * ( 8*B01212*EE(1,2)*B02323*EE(2,3))
H(5,1) = C0 * EXP_TERM * ( 4*B01313*EE(1,3)*B01111*EE(1,1))
H(5,2) = C0 * EXP_TERM * ( 4*B01313*EE(1,3)*B02222*EE(2,2))
H(5,3) = C0 * EXP_TERM * ( 4*B01313*EE(1,3)*B03333*EE(3,3))
H(5,4) = C0 * EXP_TERM * ( 8*B01313*EE(1,3)*B01212*EE(1,2))
H(5,5) = C0 * EXP_TERM * (B01313+8*B01313*EE(1,3)*B01313*EE(1,3))
H(5,6) = C0 * EXP_TERM * ( 8*B01313*EE(1,3)*B02323*EE(2,3))
H(6,1) = C0 * EXP_TERM * ( 4*B02323*EE(2,3)*B01111*EE(1,1))
H(6,2) = C0 * EXP_TERM * ( 4*B02323*EE(2,3)*B02222*EE(2,2))
H(6,3) = C0 * EXP_TERM * ( 4*B02323*EE(2,3)*B03333*EE(3,3))
H(6,4) = C0 * EXP_TERM * ( 8*B02323*EE(2,3)*B01212*EE(1,2))
H(6,5) = C0 * EXP_TERM * ( 8*B02323*EE(2,3)*B01313*EE(1,3))
H(6,6) = C0 * EXP_TERM * (B02323+8*B02323*EE(2,3)*B02323*EE(2,3))
! PRINT *, "H = ", H
! GROWTH TERMS IN TANGENT
H = (1./(1.+LAMBDAG)**4) * H
! TANGENT IN TERMS OF CAUCHY STRESS
CALL CAUCHYJACOBIAN66_FROM_PK2JACOBIAN66(DDSDDE, H, FT)
! PRINT *, "DDSDDE = ", DDSDDE
! JAUMANN TERMS IN TANGENT
CALL JAUMANN(DDSDDE, STRESS)
! PRINT *, "DDSDDE = ", DDSDDE
! DO IJ = 4,6
! DO KL = 1,6
! DDSDDE(IJ,KL) = DDSDDE(IJ,KL) / SQRT(2.)
! DDSDDE(KL,IJ) = DDSDDE(KL,IJ) / SQRT(2.)
! END DO
! END DO
! -------------------------------------------------- STATE VARIABLES ---
STATEV(1) = LAMBDAG_X
STATEV(2) = LAMBDAG
! -------------------------------------------------------------- END ---
RETURN
END SUBROUTINE UMAT_3D_FUNG