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changed a lot of small bugs and inconsistencies 

Jacobi is not correct yet
This commit is contained in:
Franz Roters 2007-03-28 06:39:48 +00:00
parent d1b04519ec
commit dfd73a72ea
1 changed files with 63 additions and 48 deletions
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107
trunk/CPFEM.f90
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@ -36,7 +36,8 @@
!
use prec, only: pReal,pInt
! use CPFEM, only: CPFEM_ffn_all, CPFEM_ffn1_all, CPFEM_inc_old
use IO, only: IO_init
! use IO, only: IO_init
use constitutive, only: constitutive_state_old, constitutive_state_new
implicit none
!
real(pReal) ffn(3,3), ffn1(3,3), CPFEM_dt
@ -45,7 +46,7 @@
! initialization step
if (CPFEM_first_call) then
! three dimensional stress state ?
call IO_init()
! call IO_init()
call mesh_init()
call constitutive_init()
call math_init()
@ -68,7 +69,6 @@
constitutive_state_old = constitutive_state_new
CPFEM_inc_old = CPFEM_inc
CPFEM_subinc_old = 1_pInt
CPFEM_timefactor_max = 0.0_pReal
endif
!
! get cp element number for fe element number
@ -86,7 +86,7 @@
subroutine CPFEM_init()
!
use prec, only: pReal,pInt
use math, only: math_I3
! use math, only: math_I3
use mesh
use constitutive
!
@ -105,20 +105,20 @@
CPFEM_jacobi_all = 0.0_pReal
!
! *** User defined results !!! MISSING incorporate consti_Nresults ***
allocate(CPFEM_results(CPFEM_Nresults+constitutive_maxNresults,constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems))
allocate(CPFEM_results(CPFEM_Nresults+constitutive_maxNresults,texture_maxNgrains,mesh_maxNips,mesh_NcpElems))
CPFEM_results = 0.0_pReal
!
! *** Second Piola-Kirchoff stress tensor at (t=t0) and (t=t1) ***
allocate(CPFEM_sigma_old(6,constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems))
allocate(CPFEM_sigma_new(6,constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems))
allocate(CPFEM_sigma_old(6,texture_maxNgrains,mesh_maxNips,mesh_NcpElems))
allocate(CPFEM_sigma_new(6,texture_maxNgrains,mesh_maxNips,mesh_NcpElems))
CPFEM_sigma_old = 0.0_pReal
CPFEM_sigma_new = 0.0_pReal
!
! *** Plastic deformation gradient at (t=t0) and (t=t1) ***
allocate(CPFEM_Fp_old(3,3,constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems))
allocate(CPFEM_Fp_new(3,3,constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems))
CPFEM_Fp_old = math_I3
CPFEM_Fp_new = math_I3
allocate(CPFEM_Fp_old(3,3,texture_maxNgrains,mesh_maxNips,mesh_NcpElems))
allocate(CPFEM_Fp_new(3,3,texture_maxNgrains,mesh_maxNips,mesh_NcpElems))
CPFEM_Fp_old = 0.0_pReal
CPFEM_Fp_new = 0.0_pReal
!
! *** Old jacobian (consistent tangent) ***
allocate(CPFEM_jaco_old(6,6,mesh_maxNips,mesh_NcpElems))
@ -132,7 +132,6 @@
write(6,*) 'CPFEM_stress_all: ', shape(CPFEM_stress_all)
write(6,*) 'CPFEM_jacobi_all: ', shape(CPFEM_jacobi_all)
write(6,*) 'CPFEM_results: ', shape(CPFEM_results)
write(6,*) 'CPFEM_thickness: ', shape(CPFEM_thickness)
write(6,*) 'CPFEM_sigma_old: ', shape(CPFEM_sigma_old)
write(6,*) 'CPFEM_sigma_new: ', shape(CPFEM_sigma_new)
write(6,*) 'CPFEM_Fp_old: ', shape(CPFEM_Fp_old)
@ -162,11 +161,11 @@
!
! *** Definition of variables ***
! *** Subroutine parameters ***
real(pReal) CPFEM_cn, CPFEM_dt
integer(pInt) cp_en ,CPFEM_in
real(pReal) CPFEM_dt
integer(pInt) CPFEM_cn, cp_en ,CPFEM_in
! *** Local variables ***
real(pReal) vf, cs(6), cd(6,6)
integer(pInt) jpara,nori, iori, ising, icut, iconv
real(pReal) vf, cs(6), cd(6,6), CPFEM_d(6,6), CPFEM_s(6)
integer(pInt) jpara,nori, iori, ising, icut, iconv, CPFEM_en
! *** Numerical parameters ***
! *** How often the jacobian is recalculated ***
integer (pInt), parameter :: ijaco = 5_pInt
@ -274,7 +273,8 @@
! and manages the independent time incrmentation
!********************************************************************
use prec, only: pReal,pInt
use constitutive, only: constitutive_Nstatevars
use constitutive, only: constitutive_Nstatevars, constitutive_state_old, constitutive_state_new, constitutive_Nresults,&
constitutive_results
implicit none
!
! *** Definition of variables ***
@ -284,7 +284,9 @@
! *** Local variables ***
real(pReal) Fp_old(3,3), Fp_new(3,3), state_old(constitutive_Nstatevars)
real(pReal) state_new(constitutive_Nstatevars), Tstar_v(6), CPFEM_ffn(3,3), CPFEM_ffn1(3,3)
real(pReal) Tstar_v_h(6), state_new_h(constitutive_Nstatevars)
real(pReal) Tstar_v_h(6), state_new_h(constitutive_Nstatevars), phi1, PHI, phi2, dt_i, delta_Fg(3,3), Fg_i(3,3)
real(pReal) state_new_i(constitutive_Nstatevars), time
integer(pInt) jcut
! *** Numerical parameters ***
integer(pInt), parameter :: ncut=7_pInt
!
@ -292,7 +294,7 @@
!
! *** Initialization of the matrices for t=t0 ***
Fp_old = CPFEM_Fp_old(:,:,iori,CPFEM_in,cp_en)
Fp_new = 0_pReal
Fp_new = 0.0_pReal
state_old = constitutive_state_old(:,iori,CPFEM_in,cp_en)
state_new = state_old
Tstar_v = CPFEM_sigma_old(:,iori,CPFEM_in,cp_en)
@ -303,20 +305,19 @@
! save copies of Tstar_v and state_new
Tstar_v_h = Tstar_v
state_new_h = state_new
call CPFEM_stress_int(cs, cd, CPFEM_dt, cp_en,CPFEM_in, iori,, ising, icut, iconv, isjaco, phi1, PHI, phi2,&
CPFEM_ffn, CPFEM_ffn1,Fp_old,Fp_new,g_old,g_new,state_old, state_new, Tstar_v)
call CPFEM_stress_int(cs, cd, CPFEM_dt, cp_en,CPFEM_in, iori, ising, icut, iconv, isjaco, phi1, PHI, phi2,&
CPFEM_ffn, CPFEM_ffn1,Fp_old,Fp_new,state_old, state_new, Tstar_v)
if ((iconv==0).AND.(ising==0)) then
! *** Update the differents matrices for t=t1 ***
CPFEM_Fp_new(:,:,iori,CPFEM_in,cp_en) = Fp_new
constituitive_state_new(:,iori,CPFEM_in,cp_en) = state_new
CPFEM_g_new(:,iori,CPFEM_in,cp_en) = g_new
constitutive_state_new(:,iori,CPFEM_in,cp_en) = state_new
CPFEM_sigma_new(:,iori,CPFEM_in,cp_en) = Tstar_v
! *** Update the results plotted in MENTAT ***
CPFEM_results(1,iori,CPFEM_in,cp_en) = phi1
CPFEM_results(2,iori,CPFEM_in,cp_en) = PHI
CPFEM_results(3,iori,CPFEM_in,cp_en) = phi2
CPFEM_results(4:3+constitutive_Nresults(iori,CPFEM_in,cp_en),iori,CPFEM_in,cp_en)=&
constitutive_results(1:constitutive_Nresults,iori,CPFEM_in,cp_en)!ÄÄÄÄ
constitutive_results(1:constitutive_Nresults(iori,CPFEM_in,cp_en),iori,CPFEM_in,cp_en)!ÄÄÄÄ
return
endif
!
@ -332,7 +333,7 @@
time=dt_i
do while (time<=CPFEM_dt)
call CPFEM_stress_int(cs, cd, time, cp_en,CPFEM_in, iori, ising, icut, iconv, isjaco, phi1, PHI, phi2,&
CPFEM_ffn, Fg_i,Fp_old,Fp_new,g_old,g_new,state_old, state_new_i, Tstar_v)
CPFEM_ffn, Fg_i,Fp_old,Fp_new,state_old, state_new_i, Tstar_v)
if ((iconv==0).AND.(ising==0)) then
time=time+dt_i
Fg_i=Fg_i+delta_Fg
@ -356,17 +357,15 @@
! *** Final calculation of stress and resistences with full timestep ***
state_new=state_new_i
call CPFEM_stress_int(cs, cd, CPFEM_dt, cp_en,CPFEM_in, iori, ising, icut, iconv, isjaco, phi1, PHI, phi2,&
CPFEM_ffn, CPFEM_ffn1,Fp_old,Fp_new,g_old,g_new,state_old, state_new, Tstar_v)
CPFEM_ffn, CPFEM_ffn1,Fp_old,Fp_new,state_old, state_new, Tstar_v)
! *** Update the differents matrices for t=t1 ***
CPFEM_Fp_new(:,:,iori,CPFEM_in,cp_en) = Fp_new
constituitive_state_new(:,iori,CPFEM_in,cp_en) = state_new
CPFEM_g_new(:,iori,CPFEM_in,cp_en) = g_new
constitutive_state_new(:,iori,CPFEM_in,cp_en) = state_new
CPFEM_sigma_new(:,iori,CPFEM_in,cp_en) = Tstar_v
! *** Update the results plotted in MENTAT ***
CPFEM_results(1,iori,CPFEM_in,cp_en) = phi1
CPFEM_results(2,iori,CPFEM_in,cp_en) = PHI
CPFEM_results(3,iori,CPFEM_in,cp_en) = phi2
CPFEM_results(4,iori,CPFEM_in,cp_en) = sum(g_new)
return
end subroutine
!
@ -400,6 +399,7 @@
!********************************************************************
use prec, only: pReal,pInt
use constitutive, only: constitutive_Nstatevars
use math, only: math_6to33
implicit none
!
! *** Definition of variables ***
@ -447,13 +447,13 @@
dev=0
if(ic<=3) dev(ic) = pert_ct
if(ic>3) dev(ic) = pert_ct/2
dF=matmul(math_conv6to33(dev),Fg_old)
dF=matmul(math_6to33(dev),Fg_old)
Fg2=Fg_new+dF
sgm2=Tstar_v
state2=state_new
! *** Calculation of the perturbated Cauchy stress ***
call NEWTON_RAPHSON(dt,cp_en,CPFEM_in,iori,Fg_old,Fg2,Fp_old,Fp2,Fe,state_old,tauc2,sgm2,cs1,iconv,ising)
call NEWTON_RAPHSON(dt,cp_en,CPFEM_in,iori,Fg_old,Fg2,Fp_old,Fp2,Fe,state_old,state2,sgm2,cs1,iconv,ising)
!
! *** Consistent tangent ***
dcs_de(:,ic)=(cs1-cs)/pert_ct
@ -493,11 +493,11 @@
real(pReal) Tstar_v(6), cs(6)
integer(pInt) cp_en, CPFEM_in, iori, iconv, ising
! *** Local variables ***
real(pReal) crite, tol_in, tol_out, invFp_old(3,3), det, A(3,3), C66(6,6), Lp(3,3), dLp(3,3,6)
real(pReal) tLp(3,3), help(3,3), help1(6), Tstar0_v(6), R1(6), norm1, tdLp(3,3)
real(pReal) crite, tol_in, tol_out, invFp_old(3,3), det, A(3,3), C_66(6,6), Lp(3,3), dLp(3,3,6)
real(pReal) I3tLp(3,3), help(3,3), help1(6), Tstar0_v(6), R1(6), norm1, tdLp(3,3)
real(pReal) dstate(constitutive_Nstatevars), R2(6), norm2, invFp_new(3,3), Estar(3,3)
real(pReal) Estar_v(6)
integer(pInt) iouter, iinner , Jacobi(6,6), inv_Jacobi(6,6), dTstar_v(6), dummy, err
real(pReal) Estar_v(6), Jacobi(6,6), invJacobi(6,6), dTstar_v(6)
integer(pInt) iouter, iinner , dummy, err, i, j, k
! *** Numerical parameters ***
integer(pInt), parameter :: nouter = 50_pInt
real(pReal), parameter :: tol_outer = 1.0e-4_pReal
@ -538,7 +538,7 @@
call constitutive_LpAndItsTangent(Lp, dLp, iori, CPFEM_in, cp_en)
I3tLp = math_I3-dt*Lp
help=matmul(transpose(I3tLp),matmul(A, I3tLp))-math_I3
Tstar0_v = 0.5_pReal * matmul(C66, math_33to6(help))
Tstar0_v = 0.5_pReal * matmul(C_66, math_33to6(help))
R1=Tstar_v-Tstar0_v
norm1=maxval(abs(R1))
if (norm1<tol_in) goto 100
@ -546,15 +546,15 @@
! *** Jacobi Calculation ***
help=matmul(A, I3tLp)
! MISSING 1..6 outer loop, inner sum required
do i=1,3
do j=1,3
help1=0
do k=1,6
help1(k)=dLp(j,i,k)*help(i,j)
do j=1,3
do i=1,6
help1(k)=help1(k)+dLp(j,i,k)*help(i,j)+dLp(i,j,k)*help(j,i)
enddo
enddo
enddo
! help=help1+transpose(help1)
Jacobi= matmul(C66, help1) + math_identity(6)
Jacobi= matmul(C_66, help1) + math_identity(6)
call math_invert6x6(Jacobi, invJacobi, dummy, err) !ÄÄÄ
if (err==1_pInt) then
forall (i=1:6) Jacobi(i,i)=1.05d0*maxval(Jacobi(i,:)) ! regularization
@ -602,15 +602,30 @@
! *** Calculation of F*(t+dt) (see Kalidindi) ***
Fe=matmul(Fg_new,invFp_new)
!
! *** Calculation of Estar ***
Estar=0.5_pReal*(matmul(transpose(Fe),Fe)-math_I3)
call math_conv33to6(Estar,Estar_v)
!
! *** Calculation of the Cauchy stress ***
! QUESTION seems to need Tstar, not Estar..??
cs = CPFEM_cauchy_stress(Estar_v,Fe)
cs = CPFEM_cauchy_stress(Tstar_v,Fe)
!
return
end subroutine
!
function CPFEM_cauchy_stress(PK_v, Fe)
!***********************************************************************
!*** Cauchy stress calculation ***
!***********************************************************************
use prec, only: pReal,pInt
use math
implicit none
! *** Definition of variables ***
! *** Subroutine parameters ***
real(pReal) PK_v(6), Fe(3,3), CPFEM_cauchy_stress(6)
! *** Local variables ***
real(pReal) PK(3,3), det
real(pReal), dimension(3,3) :: cs_33
! *** Calculation of Estar ***
det = math_det3x3(Fe)
PK = math_6to33(PK_v)
cs_33 = matmul(matmul(Fe,PK),transpose(Fe))/det
CPFEM_cauchy_stress = math_33to6(cs_33)
end function
end module