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_Lp and _dotState now explicitely depends on given state

This commit is contained in:
Philip Eisenlohr 2007-04-10 12:29:11 +00:00
parent df3f327ece
commit e1f2daf753
1 changed files with 178 additions and 194 deletions
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372
trunk/constitutive.f90
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@ -18,24 +18,82 @@ MODULE constitutive
use prec, only: pReal,pInt use prec, only: pReal,pInt
implicit none implicit none
! MISSING this should be outsourced to FEM-spec???????
! *** Transformation to get the MARC order ***
! *** 11,22,33,12,23,13 ***
!temp=Cslip_66(4,:)
!Cslip_66(4,:)=Cslip_66(6,:)
!Cslip_66(6,:)=Cslip_66(5,:)
!Cslip_66(5,:)=temp
!temp=Cslip_66(:,4)
!Cslip_66(:,4)=2.0d0*Cslip_66(:,6)
!Cslip_66(:,6)=2.0d0*Cslip_66(:,5)
!Cslip_66(:,5)=2.0d0*temp
! MISSING consistency check after reading 'mattex.mpie' ! MISSING consistency check after reading 'mattex.mpie'
! MISSING Euler angles from texture parameters character(len=300), parameter :: mattexFile = 'mattex.mpie'
! MISSING initialization of CPFEM_Fp_old
!*************************************
!* Definition of material properties *
!*************************************
!* Number of materials
integer(pInt) material_maxN
!* Crystal structure and number of selected slip systems per material
integer(pInt), dimension(:) , allocatable :: material_CrystalStructure
integer(pInt), dimension(:) , allocatable :: material_Nslip
!* Maximum number of selected slip systems over materials
integer(pInt) material_maxNslip
!* Elastic constants and matrices
real(pReal), dimension(:) , allocatable :: material_C11
real(pReal), dimension(:) , allocatable :: material_C12
real(pReal), dimension(:) , allocatable :: material_C13
real(pReal), dimension(:) , allocatable :: material_C33
real(pReal), dimension(:) , allocatable :: material_C44
real(pReal), dimension(:,:,:), allocatable :: material_Cslip_66
!* Visco-plastic material parameters
real(pReal), dimension(:) , allocatable :: material_s0_slip
real(pReal), dimension(:) , allocatable :: material_gdot0_slip
real(pReal), dimension(:) , allocatable :: material_n_slip
real(pReal), dimension(:) , allocatable :: material_h0
real(pReal), dimension(:) , allocatable :: material_s_sat
real(pReal), dimension(:) , allocatable :: material_w0
!************************************
!* Definition of texture properties *
!************************************
!* Number of textures, maximum number of Gauss and Fiber components
integer(pInt) texture_maxN
integer(pInt) texture_maxNGauss
integer(pInt) texture_maxNFiber
!* Textures definition
character(len=80), dimension(:), allocatable :: texture_ODFfile
character(len=80), dimension(:), allocatable :: texture_symmetry
integer(pInt), dimension(:) , allocatable :: texture_Ngrains
integer(pInt), dimension(:) , allocatable :: texture_NGauss
integer(pInt),dimension(:) , allocatable :: texture_NFiber
integer(pInt),dimension(:) , allocatable :: texture_NRandom
integer(pInt),dimension(:) , allocatable :: texture_totalNgrains
real(pReal), dimension(:,:,:) , allocatable :: texture_Gauss
real(pReal), dimension(:,:,:) , allocatable :: texture_Fiber
real(pReal), dimension(:,:,:,:), allocatable :: constitutive_EulerAngles
!************************************
!* Grains *
!************************************
integer(pInt) constitutive_maxNgrains
integer(pInt), dimension(:,:) , allocatable :: constitutive_Ngrains
integer(pInt), dimension(:,:,:) , allocatable :: constitutive_matID
real(pReal), dimension(:,:,:) , allocatable :: constitutive_matVolFrac
integer(pInt), dimension(:,:,:) , allocatable :: constitutive_texID
real(pReal), dimension(:,:,:) , allocatable :: constitutive_texVolFrac
!************************************
!* State variables *
!************************************
integer(pInt) constitutive_maxNstatevars
integer(pInt), dimension(:,:,:), allocatable :: constitutive_Nstatevars
real(pReal), dimension(:,:,:,:), allocatable :: constitutive_state_old
real(pReal), dimension(:,:,:,:), allocatable :: constitutive_state_new
!************************************
!* Results *
!************************************
integer(pInt) constitutive_maxNresults
integer(pInt), dimension(:,:,:), allocatable :: constitutive_Nresults
real(pReal), dimension(:,:,:,:), allocatable :: constitutive_results
!* MISSING : allocation
!*********************************************** !***********************************************
!* Definition of crystal structures properties * !* Crystal structures *
!*********************************************** !***********************************************
!* Number of crystal structures (1-FCC,2-BCC,3-HCP) !* Number of crystal structures (1-FCC,2-BCC,3-HCP)
integer(pInt), parameter :: constitutive_MaxCrystalStructure = 3 integer(pInt), parameter :: constitutive_MaxCrystalStructure = 3
@ -44,7 +102,7 @@ integer(pInt), parameter :: constitutive_MaxCrystalStructure = 3
integer(pInt), dimension(constitutive_MaxCrystalStructure), parameter :: constitutive_MaxNslipOfStructure = & integer(pInt), dimension(constitutive_MaxCrystalStructure), parameter :: constitutive_MaxNslipOfStructure = &
reshape((/12,48,12/),(/constitutive_MaxCrystalStructure/)) reshape((/12,48,12/),(/constitutive_MaxCrystalStructure/))
!* Maximum number of slip systems over crystal structures !* Maximum number of slip systems over crystal structures
integer(pInt), parameter :: constitutive_MaxMaxNslipOfStructure = 48 integer(pInt), parameter :: constitutive_MaxMaxNslipOfStructure = 48
!* Slip direction, slip normales and Schmid matrices !* Slip direction, slip normales and Schmid matrices
real(pReal), dimension(3,3,constitutive_MaxMaxNslipOfStructure,constitutive_MaxCrystalStructure) :: constitutive_Sslip real(pReal), dimension(3,3,constitutive_MaxMaxNslipOfStructure,constitutive_MaxCrystalStructure) :: constitutive_Sslip
real(pReal), dimension(6,constitutive_MaxMaxNslipOfStructure,constitutive_MaxCrystalStructure) :: constitutive_Sslip_v real(pReal), dimension(6,constitutive_MaxMaxNslipOfStructure,constitutive_MaxCrystalStructure) :: constitutive_Sslip_v
@ -159,85 +217,17 @@ data constitutive_sd(:,10,3)/-1, 0, 0/ ; data constitutive_sn(:,10,3)/ 1, 0, 1/
data constitutive_sd(:,11,3)/ 0,-1, 0/ ; data constitutive_sn(:,11,3)/-1, 1, 1/ data constitutive_sd(:,11,3)/ 0,-1, 0/ ; data constitutive_sn(:,11,3)/-1, 1, 1/
data constitutive_sd(:,12,3)/ 1, 1, 0/ ; data constitutive_sn(:,12,3)/ 1,-1, 1/ data constitutive_sd(:,12,3)/ 1, 1, 0/ ; data constitutive_sn(:,12,3)/ 1,-1, 1/
!* Slip-slip interactions matrices !***********************************************
!* slip-slip interaction *
!***********************************************
!* (defined for the moment as crystal structure property and not as material property) !* (defined for the moment as crystal structure property and not as material property)
!* (may be changed in the future) !* (may be changed in the future)
real(pReal), dimension(constitutive_MaxMaxNslipOfStructure,constitutive_MaxMaxNslipOfStructure,& real(pReal), dimension(constitutive_MaxMaxNslipOfStructure,constitutive_MaxMaxNslipOfStructure,&
constitutive_MaxCrystalStructure) :: constitutive_HardeningMatrix constitutive_MaxCrystalStructure) :: constitutive_HardeningMatrix
real(pReal), parameter :: constitutive_LatentHardening=1.4_pReal real(pReal), parameter :: constitutive_LatentHardening=1.4_pReal
!*************************************
!* Definition of material properties *
!*************************************
!* Number of materials
integer(pInt) material_maxN
!* Crystal structure and number of selected slip systems per material
integer(pInt), dimension(:) , allocatable :: material_CrystalStructure
integer(pInt), dimension(:) , allocatable :: material_Nslip
!* Maximum number of selected slip systems over materials
integer(pInt) material_MaxNslip
!* Elastic constants and matrices
real(pReal), dimension(:) , allocatable :: material_C11
real(pReal), dimension(:) , allocatable :: material_C12
real(pReal), dimension(:) , allocatable :: material_C13
real(pReal), dimension(:) , allocatable :: material_C33
real(pReal), dimension(:) , allocatable :: material_C44
real(pReal), dimension(:,:,:), allocatable :: material_Cslip_66
!* Visco-plastic material parameters
real(pReal), dimension(:) , allocatable :: material_s0_slip
real(pReal), dimension(:) , allocatable :: material_gdot0_slip
real(pReal), dimension(:) , allocatable :: material_n_slip
real(pReal), dimension(:) , allocatable :: material_h0
real(pReal), dimension(:) , allocatable :: material_s_sat
real(pReal), dimension(:) , allocatable :: material_w0
!************************************ CONTAINS
!* Definition of texture properties *
!************************************
!* Number of textures, maximum number of Gauss and Fiber components
integer(pInt) texture_maxN
integer(pInt) texture_maxNGauss
integer(pInt) texture_maxNFiber
!* Textures definition
character(len=80), dimension(:), allocatable :: texture_ODFfile
character(len=80), dimension(:), allocatable :: texture_symmetry
integer(pInt), dimension(:) , allocatable :: texture_Ngrains
integer(pInt), dimension(:) , allocatable :: texture_NGauss
integer(pInt),dimension(:) , allocatable :: texture_NFiber
integer(pInt),dimension(:) , allocatable :: texture_NRandom
integer(pInt),dimension(:) , allocatable :: texture_totalNgrains
real(pReal), dimension(:,:,:) , allocatable :: texture_Gauss
real(pReal), dimension(:,:,:) , allocatable :: texture_Fiber
real(pReal), dimension(:,:,:,:), allocatable :: constitutive_EulerAngles
!************************************
!* State variables *
!************************************
integer(pInt) constitutive_maxNstatevars
integer(pInt), dimension(:,:,:), allocatable :: constitutive_Nstatevars
real(pReal), dimension(:,:,:,:), allocatable :: constitutive_state_old
real(pReal), dimension(:,:,:,:), allocatable :: constitutive_state_new
!************************************
!* Results *
!************************************
integer(pInt) constitutive_MaxNresults
integer(pInt), dimension(:,:,:), allocatable :: constitutive_Nresults
real(pReal), dimension(:,:,:,:), allocatable :: constitutive_results
!* IS MISSING : allocation
!************************************
!* Other *
!************************************
integer(pInt) constitutive_maxNgrains
integer(pInt), dimension(:,:) , allocatable :: constitutive_Ngrains
integer(pInt), dimension(:,:,:) , allocatable :: constitutive_matID
real(pReal), dimension(:,:,:) , allocatable :: constitutive_matVolFrac
integer(pInt), dimension(:,:,:) , allocatable :: constitutive_texID
real(pReal), dimension(:,:,:) , allocatable :: constitutive_texVolFrac
CONTAINS
!**************************************** !****************************************
!* - constitutive_Init !* - constitutive_Init
!* - constitutive_SchmidMatrices !* - constitutive_SchmidMatrices
@ -253,97 +243,92 @@ CONTAINS
!* - consistutive_DotState !* - consistutive_DotState
!**************************************** !****************************************
subroutine constitutive_Init() subroutine constitutive_Init()
!************************************** !**************************************
!* Module initialization * !* Module initialization *
!************************************** !**************************************
call constitutive_SchmidMatrices() call constitutive_SchmidMatrices()
call constitutive_HardeningMatrices() call constitutive_HardeningMatrices()
call constitutive_Parse_MatTexDat('mattex.mpie') call constitutive_Parse_MatTexDat(mattexFile)
call constitutive_Assignment() call constitutive_Assignment()
end subroutine end subroutine
subroutine constitutive_SchmidMatrices() subroutine constitutive_SchmidMatrices()
!************************************** !**************************************
!* Calculation of Schmid matrices * !* Calculation of Schmid matrices *
!************************************** !**************************************
use prec, only: pReal,pInt use prec, only: pReal,pInt
implicit none implicit none
!* Definition of variables !* Definition of variables
integer(pInt) i,j,k,l integer(pInt) i,j,k,l
real(pReal) invNorm real(pReal) invNorm
!* Iteration over the crystal structures !* Iteration over the crystal structures
do l=1,3 do l=1,3
!* Iteration over the systems !* Iteration over the systems
do k=1,constitutive_MaxNslipOfStructure(l) do k=1,constitutive_MaxNslipOfStructure(l)
!* Defintion of Schmid matrix !* Defintion of Schmid matrix
forall (i=1:3,j=1:3) forall (i=1:3,j=1:3)
constitutive_Sslip(i,j,k,l)=constitutive_sd(i,k,l)*constitutive_sn(j,k,l) constitutive_Sslip(i,j,k,l)=constitutive_sd(i,k,l)*constitutive_sn(j,k,l)
endforall endforall
!* Normalization of Schmid matrix !* Normalization of Schmid matrix
invNorm=dsqrt(1.0_pReal/((constitutive_sn(1,k,l)**2+constitutive_sn(2,k,l)**2+constitutive_sn(3,k,l)**2)*& invNorm=dsqrt(1.0_pReal/((constitutive_sn(1,k,l)**2+constitutive_sn(2,k,l)**2+constitutive_sn(3,k,l)**2)*&
(constitutive_sd(1,k,l)**2+constitutive_sd(2,k,l)**2+constitutive_sd(3,k,l)**2))) (constitutive_sd(1,k,l)**2+constitutive_sd(2,k,l)**2+constitutive_sd(3,k,l)**2)))
constitutive_Sslip(:,:,k,l)=constitutive_Sslip(:,:,k,l)*invNorm constitutive_Sslip(:,:,k,l)=constitutive_Sslip(:,:,k,l)*invNorm
!* Vectorization of normalized Schmid matrix !* Vectorization of normalized Schmid matrix
!* according MARC component order 11,22,33,12,23,13 constitutive_Sslip_v(1,k,l)=constitutive_Sslip(1,1,k,l)
constitutive_Sslip_v(1,k,l)=constitutive_Sslip(1,1,k,l) constitutive_Sslip_v(2,k,l)=constitutive_Sslip(2,2,k,l)
constitutive_Sslip_v(2,k,l)=constitutive_Sslip(2,2,k,l)
constitutive_Sslip_v(3,k,l)=constitutive_Sslip(3,3,k,l) constitutive_Sslip_v(3,k,l)=constitutive_Sslip(3,3,k,l)
!* be compatible with Mandel notation of Tstar !* be compatible with Mandel notation of Tstar
constitutive_Sslip_v(4,k,l)=(constitutive_Sslip(1,2,k,l)+constitutive_Sslip(2,1,k,l))/dsqrt(2.0_pReal) constitutive_Sslip_v(4,k,l)=(constitutive_Sslip(1,2,k,l)+constitutive_Sslip(2,1,k,l))/dsqrt(2.0_pReal)
constitutive_Sslip_v(5,k,l)=(constitutive_Sslip(2,3,k,l)+constitutive_Sslip(3,3,k,l))/dsqrt(2.0_pReal) constitutive_Sslip_v(5,k,l)=(constitutive_Sslip(2,3,k,l)+constitutive_Sslip(3,3,k,l))/dsqrt(2.0_pReal)
constitutive_Sslip_v(6,k,l)=(constitutive_Sslip(1,3,k,l)+constitutive_Sslip(3,1,k,l))/dsqrt(2.0_pReal) constitutive_Sslip_v(6,k,l)=(constitutive_Sslip(1,3,k,l)+constitutive_Sslip(3,1,k,l))/dsqrt(2.0_pReal)
enddo enddo
enddo enddo
end subroutine end subroutine
subroutine constitutive_HardeningMatrices() subroutine constitutive_HardeningMatrices()
!**************************************** !****************************************
!* Hardening matrix (see Kalidindi) * !* Hardening matrix (see Kalidindi) *
!**************************************** !****************************************
use prec, only: pReal,pInt use prec, only: pReal,pInt
implicit none implicit none
!* Definition of variables
integer(pInt) i,j,k,l
!* Definition of variables
integer(pInt) i,j,k,l
!* Initialization of the hardening matrix !* Initialization of the hardening matrix
constitutive_HardeningMatrix=constitutive_LatentHardening constitutive_HardeningMatrix=constitutive_LatentHardening
!* Iteration over the crystal structures !* Iteration over the crystal structures
do l=1,3 do l=1,3
select case(l) select case(l)
!* Hardening matrix for FCC structures !* Hardening matrix for FCC structures
case (1) case (1)
do k=1,10,3 forall (k=1:10:3,i=0:2,j=0:2)
forall (i=1:3,j=1:3) constitutive_HardeningMatrix(k+i,k+j,l)=1.0_pReal
constitutive_HardeningMatrix(k-1+i,k-1+j,l)=1.0_pReal
endforall endforall
enddo
!* Hardening matrix for BCC structures !* Hardening matrix for BCC structures
case (2) case (2)
do k=1,11,2 forall (k=1:11:2,i=0:1,j=0:1)
forall (i=1:2,j=1:2) constitutive_HardeningMatrix(k+i,k+j,l)=1.0_pReal
constitutive_HardeningMatrix(k-1+i,k-1+j,l)=1.0_pReal endforall
forall (k=13:48)
constitutive_HardeningMatrix(k,k,l)=1.0_pReal
endforall endforall
enddo
do k=13,48
constitutive_HardeningMatrix(k,k,l)=1.0_pReal
enddo
!* Hardening matrix for HCP structures !* Hardening matrix for HCP structures
case (3) case (3)
forall (i=1:3,j=1:3) forall (i=1:3,j=1:3)
constitutive_HardeningMatrix(i,j,l)=1.0_pReal constitutive_HardeningMatrix(i,j,l)=1.0_pReal
endforall endforall
do k=4,12 forall (k=4:12)
constitutive_HardeningMatrix(k,k,l)=1.0_pReal constitutive_HardeningMatrix(k,k,l)=1.0_pReal
enddo endforall
end select end select
enddo enddo
end subroutine end subroutine
@ -616,12 +601,12 @@ enddo
end function end function
subroutine constitutive_Parse_MatTexDat(filename) subroutine constitutive_Parse_MatTexDat(filename)
!********************************************************************* !*********************************************************************
!* This function reads the material and texture input file * !* This function reads the material and texture input file *
!* INPUT: * !* INPUT: *
!* - filename : name of input file * !* - filename : name of input file *
!********************************************************************* !*********************************************************************
use prec, only: pReal,pInt use prec, only: pReal,pInt
use IO, only: IO_error use IO, only: IO_error
use math, only: math_Mandel3333to66, math_Voigt66to3333 use math, only: math_Mandel3333to66, math_Voigt66to3333
@ -705,7 +690,7 @@ do while (part/='')
end select end select
enddo enddo
close(1) close(1)
!* Construction of the elasticity matrices !* Construction of the elasticity matrices
do i=1,material_maxN do i=1,material_maxN
@ -734,12 +719,12 @@ do i=1,material_maxN
end select end select
material_Cslip_66(:,:,i) = math_Mandel3333to66(math_Voigt66to3333(material_Cslip_66(:,:,i))) material_Cslip_66(:,:,i) = math_Mandel3333to66(math_Voigt66to3333(material_Cslip_66(:,:,i)))
enddo enddo
! MISSING some consistency checks may be..? ! MISSING some consistency checks may be..?
! if ODFfile present then set NGauss NFiber =0 ! if ODFfile present then set NGauss NFiber =0
return return
100 call IO_error(110) ! corrupt materials_textures file 100 call IO_error(110) ! corrupt materials_textures file
end subroutine end subroutine
@ -751,7 +736,7 @@ use prec, only: pReal,pInt
use math, only: math_sampleGaussOri,math_sampleFiberOri,math_sampleRandomOri,math_symmetricEulers,math_EulerToR use math, only: math_sampleGaussOri,math_sampleFiberOri,math_sampleRandomOri,math_symmetricEulers,math_EulerToR
use mesh, only: mesh_NcpElems,FE_Nips,FE_mapElemtype,mesh_maxNips,mesh_element use mesh, only: mesh_NcpElems,FE_Nips,FE_mapElemtype,mesh_maxNips,mesh_element
use IO, only: IO_hybridIA use IO, only: IO_hybridIA
use CPFEM, only: CPFEM_Fp_old use CPFEM,only: CPFEM_Fp_old
implicit none implicit none
!* Definition of variables !* Definition of variables
@ -825,14 +810,14 @@ allocate(constitutive_state_new(constitutive_maxNstatevars,constitutive_maxNgrai
constitutive_state_new=0.0_pReal constitutive_state_new=0.0_pReal
allocate(constitutive_Nresults(constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems)) ; constitutive_Nresults=0_pInt allocate(constitutive_Nresults(constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems)) ; constitutive_Nresults=0_pInt
!* Assignment !* Assignment of all grains in all IPs of all cp-elements
do e=1,mesh_NcpElems do e=1,mesh_NcpElems
matID=mesh_element(3,e) matID=mesh_element(3,e)
texID=mesh_element(4,e) texID=mesh_element(4,e)
do i=1,FE_Nips(FE_mapElemtype(mesh_element(2,e))) do i=1,FE_Nips(FE_mapElemtype(mesh_element(2,e)))
g = 0_pInt ! grain counter g = 0_pInt ! grain counter
do m = 1,multiplicity(texID) do m = 1,multiplicity(texID)
o = 0_pInt o = 0_pInt ! component counter
if (texture_ODFfile(texID)=='') then if (texture_ODFfile(texID)=='') then
do k = 1,texture_nGauss(texID) ! *** gauss *** do k = 1,texture_nGauss(texID) ! *** gauss ***
o = o+1 o = o+1
@ -849,8 +834,8 @@ do e=1,mesh_NcpElems
Euler(:,o) = math_sampleRandomOri() Euler(:,o) = math_sampleRandomOri()
texVolfrac(o) = 1.0_pReal-sumVolfrac(texID) texVolfrac(o) = 1.0_pReal-sumVolfrac(texID)
enddo enddo
else ! hybrid IA else ! *** hybrid IA ***
o = 1 ! only singular orientation o = 1 ! only singular orientation, i.e. single "component"
Euler(:,o) = hybridIA_population(:,1+sampleCount(texID),ODFmap(texID)) Euler(:,o) = hybridIA_population(:,1+sampleCount(texID),ODFmap(texID))
texVolfrac(o) = 1.0_pReal texVolfrac(o) = 1.0_pReal
endif endif
@ -868,12 +853,13 @@ do e=1,mesh_NcpElems
constitutive_texID(g,i,e) = texID ! copy texID of element constitutive_texID(g,i,e) = texID ! copy texID of element
constitutive_MatVolFrac(g,i,e) = 1.0_pReal ! singular material (so far) constitutive_MatVolFrac(g,i,e) = 1.0_pReal ! singular material (so far)
constitutive_TexVolFrac(g,i,e) = texVolfrac(s)/multiplicity(texID)/Nsym(texID) constitutive_TexVolFrac(g,i,e) = texVolfrac(s)/multiplicity(texID)/Nsym(texID)
CPFEM_Fp_old(:,:,g,i,e) = math_EulerToR(Euler(:,s)) ! set plastic deformation gradient at t_0 constitutive_Nstatevars(g,i,e) = material_Nslip(matID) ! number of state variables (i.e. tau_c of each slip system)
CPFEM_Fp_old(:,:,g,i,e) = math_EulerToR(Euler(:,s)) ! set plastic deformation gradient at t_0
forall (l=1:constitutive_Nstatevars(g,i,e)) ! initialize state variables forall (l=1:constitutive_Nstatevars(g,i,e)) ! initialize state variables
constitutive_state_old(l,g,i,e) = material_s0_slip(matID) constitutive_state_old(l,g,i,e) = material_s0_slip(matID)
constitutive_state_new(l,g,i,e) = material_s0_slip(matID) constitutive_state_new(l,g,i,e) = material_s0_slip(matID)
end forall end forall
enddo enddo ! components
enddo ! multiplicity enddo ! multiplicity
enddo ! ip enddo ! ip
enddo ! cp_element enddo ! cp_element
@ -904,101 +890,99 @@ return
end function end function
subroutine constitutive_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,ipc,ip,el) subroutine constitutive_LpAndItsTangent(Lp,dLp_dTstar, Tstar_v,state,ipc,ip,el)
!********************************************************************* !*********************************************************************
!* This subroutine contains the constitutive equation for * !* This subroutine contains the constitutive equation for *
!* calculating the velocity gradient * !* calculating the velocity gradient *
!* INPUT: * !* INPUT: *
!* - Tstar_v : 2nd Piola Kirchhoff stress tensor (Mandel) * !* - Tstar_v : 2nd Piola Kirchhoff stress tensor (Mandel) *
!* - state : current microstructure *
!* - ipc : component-ID of current integration point * !* - ipc : component-ID of current integration point *
!* - ip : current integration point * !* - ip : current integration point *
!* - el : current element * !* - el : current element *
!* OUTPUT: * !* OUTPUT: *
!* - Lp : plastic velocity gradient * !* - Lp : plastic velocity gradient *
!* - dLp_dTstar : derivative of Lp (4th-order tensor) * !* - dLp_dTstar : derivative of Lp (4th-order tensor) *
!********************************************************************* !*********************************************************************
use prec, only: pReal,pInt use prec, only: pReal,pInt
implicit none implicit none
!* Definition of variables !* Definition of variables
integer(pInt) ipc,ip,el integer(pInt) ipc,ip,el
integer(pInt) matID,i,k,l,m,n integer(pInt) matID,i,k,l,m,n
real(pReal) Tstar_v(6) real(pReal) Tstar_v(6)
real(pReal) Lp(3,3) real(pReal) Lp(3,3)
real(pReal) dLp_dTstar(3,3,3,3) real(pReal) dLp_dTstar(3,3,3,3)
real(pReal), dimension(constitutive_matID(ipc,ip,el)) :: gdot_slip real(pReal), dimension(constitutive_Nstatevars(ipc,ip,el)) :: state,gdot_slip,dgdot_dtauslip,tau_slip
real(pReal), dimension(constitutive_matID(ipc,ip,el)) :: dgdot_dtauslip
real(preal), dimension(constitutive_matID(ipc,ip,el)) :: tau_slip
!* Get the material-ID from the triplet(ipc,ip,el) !* Get the material-ID from the triplet(ipc,ip,el)
matID=constitutive_matID(ipc,ip,el) matID = constitutive_matID(ipc,ip,el)
!* Calculation of Lp !* Calculation of Lp
Lp=0.0_pReal Lp = 0.0_pReal
do i=1,material_Nslip(matID) do i=1,material_Nslip(matID)
tau_slip(i)=dot_product(Tstar_v,constitutive_Sslip_v(:,i,material_CrystalStructure(matID))) tau_slip(i)=dot_product(Tstar_v,constitutive_Sslip_v(:,i,material_CrystalStructure(matID)))
gdot_slip(i)=material_gdot0_slip(matID)*(abs(tau_slip(i))/constitutive_state_new(i,ipc,ip,el))**& gdot_slip(i)=material_gdot0_slip(matID)*(abs(tau_slip(i))/state(i))**&
material_n_slip(matID)*sign(1.0_pReal,tau_slip(i)) material_n_slip(matID)*sign(1.0_pReal,tau_slip(i))
Lp=Lp+gdot_slip(i)*constitutive_Sslip(:,:,i,material_CrystalStructure(matID)) Lp=Lp+gdot_slip(i)*constitutive_Sslip(:,:,i,material_CrystalStructure(matID))
enddo enddo
!* Calculation of the tangent of Lp !* Calculation of the tangent of Lp
dLp_dTstar=0.0_pReal dLp_dTstar=0.0_pReal
do i=1,material_Nslip(matID) do i=1,material_Nslip(matID)
dgdot_dtauslip(i)=material_gdot0_slip(matID)*(abs(tau_slip(i))/constitutive_state_new(i,ipc,ip,el))**& dgdot_dtauslip(i)=material_gdot0_slip(matID)*(abs(tau_slip(i))/state(i))**&
(material_n_slip(matID)-1.0_pReal)*material_n_slip(matID)/constitutive_state_new(i,ipc,ip,el) (material_n_slip(matID)-1.0_pReal)*material_n_slip(matID)/constitutive_state_new(i,ipc,ip,el)
forall (k=1:3,l=1:3,m=1:3,n=1:3) forall (k=1:3,l=1:3,m=1:3,n=1:3)
dLp_dTstar(k,l,m,n)=dLp_dTstar(k,l,m,n)+constitutive_Sslip(k,l,i,material_CrystalStructure(matID))*& dLp_dTstar(k,l,m,n)=dLp_dTstar(k,l,m,n)+constitutive_Sslip(k,l,i,material_CrystalStructure(matID))*&
constitutive_Sslip(m,n,i,material_CrystalStructure(matID))*dgdot_dtauslip(i) constitutive_Sslip(m,n,i,material_CrystalStructure(matID))*dgdot_dtauslip(i)
endforall endforall
enddo enddo
return
end subroutine
function constitutive_DotState(Tstar_v,ipc,ip,el) return
end subroutine
function constitutive_DotState(Tstar_v,state,ipc,ip,el)
!********************************************************************* !*********************************************************************
!* This subroutine contains the constitutive equation for * !* This subroutine contains the constitutive equation for *
!* calculating the velocity gradient * !* calculating the velocity gradient *
!* INPUT: * !* INPUT: *
!* - Tstar_v : 2nd Piola Kirchhoff stress tensor (Mandel) * !* - Tstar_v : 2nd Piola Kirchhoff stress tensor (Mandel) *
!* - state : current microstructure *
!* - ipc : component-ID of current integration point * !* - ipc : component-ID of current integration point *
!* - ip : current integration point * !* - ip : current integration point *
!* - el : current element * !* - el : current element *
!* OUTPUT: * !* OUTPUT: *
!* - constitutive_DotState : evolution of state variable * !* - constitutive_DotState : evolution of state variable *
!********************************************************************* !*********************************************************************
use prec, only: pReal,pInt use prec, only: pReal,pInt
implicit none implicit none
!* Definition of variables !* Definition of variables
integer(pInt) ipc,ip,el integer(pInt) ipc,ip,el
integer(pInt) matID,i integer(pInt) matID,i
real(pReal) Tstar_v(6) real(pReal), dimension(6) :: Tstar_v
real(pReal), dimension(constitutive_matID(ipc,ip,el)) :: constitutive_DotState real(pReal), dimension(constitutive_Nstatevars(ipc,ip,el)) :: constitutive_DotState,&
real(pReal), dimension(constitutive_matID(ipc,ip,el)) :: gdot_slip state,gdot_slip,tau_slip,self_hardening
real(pReal), dimension(constitutive_matID(ipc,ip,el)) :: tau_slip
real(pReal), dimension(constitutive_matID(ipc,ip,el)) :: self_hardening
!* Get the material-ID from the triplet(ipc,ip,el) !* Get the material-ID from the triplet(ipc,ip,el)
matID=constitutive_matID(ipc,ip,el) matID = constitutive_matID(ipc,ip,el)
!* Self-Hardening of each system !* Self-Hardening of each system
do i=1,constitutive_Nstatevars(ipc,ip,el) do i=1,constitutive_Nstatevars(ipc,ip,el)
tau_slip(i)=dot_product(Tstar_v,constitutive_Sslip_v(:,i,material_CrystalStructure(matID))) tau_slip(i)=dot_product(Tstar_v,constitutive_Sslip_v(:,i,material_CrystalStructure(matID)))
gdot_slip(i)=material_gdot0_slip(matID)*(abs(tau_slip(i))/constitutive_state_new(i,ipc,ip,el))**& gdot_slip(i)=material_gdot0_slip(matID)*(abs(tau_slip(i))/state(i))**&
material_n_slip(matID)*sign(1.0_pReal,tau_slip(i)) material_n_slip(matID)*sign(1.0_pReal,tau_slip(i))
self_hardening(i)=material_h0(matID)*(1.0_pReal-constitutive_state_new(i,ipc,ip,el)/& self_hardening(i)=material_h0(matID)*(1.0_pReal-state(i)/&
material_s_sat(matID))**material_w0(matID)*abs(gdot_slip(i)) material_s_sat(matID))**material_w0(matID)*abs(gdot_slip(i))
enddo enddo
!* Hardening for all systems !* Hardening for all systems
constitutive_DotState=matmul(constitutive_HardeningMatrix(1:material_Nslip(matID),1:material_Nslip(matID),& constitutive_DotState=matmul(constitutive_HardeningMatrix(1:material_Nslip(matID),1:material_Nslip(matID),&
material_CrystalStructure(matID)),self_hardening) material_CrystalStructure(matID)),self_hardening)
return return
end function end function
END MODULE END MODULE