!************************************ !* Module: CONSTITUTIVE * !************************************ !* contains: * !* - constitutive equations * !* - Schmid matrices calculation * !* - Hardening matrices definition * !* - Parameters definition * !* - orientations? * !************************************ MODULE constitutive !*** Include other modules *** use prec, only: pReal,pInt 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 Euler angles from texture parameters ! MISSING initialization of CPFEM_Fp_old !*********************************************** !* Definition of crystal structures properties * !*********************************************** !* Number of crystal structures (1-FCC,2-BCC,3-HCP) integer(pInt), parameter :: constitutive_MaxCrystalStructure = 3 !* Total number of slip systems per crystal structure !* (as to be changed according the definition of slip systems) integer(pInt), dimension(constitutive_MaxCrystalStructure), parameter :: constitutive_MaxNslipOfStructure = & reshape((/12,48,12/),(/constitutive_MaxCrystalStructure/)) !* Maximum number of slip systems over crystal structures integer(pInt), parameter :: constitutive_MaxMaxNslipOfStructure = 48 !* Slip direction, slip normales and Schmid matrices 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(3,constitutive_MaxMaxNslipOfStructure,constitutive_MaxCrystalStructure) :: constitutive_sn real(pReal), dimension(3,constitutive_MaxMaxNslipOfStructure,constitutive_MaxCrystalStructure) :: constitutive_sd !*** Slip systems for FCC structures (1) *** !* System {111}<110> Sort according Eisenlohr&Hantcherli data constitutive_sd(:, 1,1)/ 0, 1,-1/ ; data constitutive_sn(:, 1,1)/ 1, 1, 1/ data constitutive_sd(:, 2,1)/-1, 0, 1/ ; data constitutive_sn(:, 2,1)/ 1, 1, 1/ data constitutive_sd(:, 3,1)/ 1,-1, 0/ ; data constitutive_sn(:, 3,1)/ 1, 1, 1/ data constitutive_sd(:, 4,1)/ 0,-1,-1/ ; data constitutive_sn(:, 4,1)/-1,-1, 1/ data constitutive_sd(:, 5,1)/ 1, 0, 1/ ; data constitutive_sn(:, 5,1)/-1,-1, 1/ data constitutive_sd(:, 6,1)/-1, 1, 0/ ; data constitutive_sn(:, 6,1)/-1,-1, 1/ data constitutive_sd(:, 7,1)/ 0,-1, 1/ ; data constitutive_sn(:, 7,1)/ 1,-1,-1/ data constitutive_sd(:, 8,1)/-1, 0,-1/ ; data constitutive_sn(:, 8,1)/ 1,-1,-1/ data constitutive_sd(:, 9,1)/ 1, 1, 0/ ; data constitutive_sn(:, 9,1)/ 1,-1,-1/ data constitutive_sd(:,10,1)/ 0, 1, 1/ ; data constitutive_sn(:,10,1)/-1, 1,-1/ data constitutive_sd(:,11,1)/ 1, 0,-1/ ; data constitutive_sn(:,11,1)/-1, 1,-1/ data constitutive_sd(:,12,1)/-1,-1, 0/ ; data constitutive_sn(:,12,1)/-1, 1,-1/ !*** Slip systems for BCC structures (2) *** !* System {110}<111> !* Sort? data constitutive_sd(:, 1,2)/ 1,-1, 1/ ; data constitutive_sn(:, 1,2)/ 0, 1, 1/ data constitutive_sd(:, 2,2)/-1,-1, 1/ ; data constitutive_sn(:, 2,2)/ 0, 1, 1/ data constitutive_sd(:, 3,2)/ 1, 1, 1/ ; data constitutive_sn(:, 3,2)/ 0,-1, 1/ data constitutive_sd(:, 4,2)/-1, 1, 1/ ; data constitutive_sn(:, 4,2)/ 0,-1, 1/ data constitutive_sd(:, 5,2)/-1, 1, 1/ ; data constitutive_sn(:, 5,2)/ 1, 0, 1/ data constitutive_sd(:, 6,2)/-1,-1, 1/ ; data constitutive_sn(:, 6,2)/ 1, 0, 1/ data constitutive_sd(:, 7,2)/ 1, 1, 1/ ; data constitutive_sn(:, 7,2)/-1, 0, 1/ data constitutive_sd(:, 8,2)/ 1,-1, 1/ ; data constitutive_sn(:, 8,2)/-1, 0, 1/ data constitutive_sd(:, 9,2)/-1, 1, 1/ ; data constitutive_sn(:, 9,2)/ 1, 1, 0/ data constitutive_sd(:,10,2)/-1, 1,-1/ ; data constitutive_sn(:,10,2)/ 1, 1, 0/ data constitutive_sd(:,11,2)/ 1, 1, 1/ ; data constitutive_sn(:,11,2)/-1, 1, 0/ data constitutive_sd(:,12,2)/ 1, 1,-1/ ; data constitutive_sn(:,12,2)/-1, 1, 0/ !* System {112}<111> !* Sort? data constitutive_sd(:,13,2)/-1, 1, 1/ ; data constitutive_sn(:,13,2)/ 2, 1, 1/ data constitutive_sd(:,14,2)/ 1, 1, 1/ ; data constitutive_sn(:,14,2)/-2, 1, 1/ data constitutive_sd(:,15,2)/ 1, 1,-1/ ; data constitutive_sn(:,15,2)/ 2,-1, 1/ data constitutive_sd(:,16,2)/ 1,-1, 1/ ; data constitutive_sn(:,16,2)/ 2, 1,-1/ data constitutive_sd(:,17,2)/ 1,-1, 1/ ; data constitutive_sn(:,17,2)/ 1, 2, 1/ data constitutive_sd(:,18,2)/ 1, 1,-1/ ; data constitutive_sn(:,18,2)/-1, 2, 1/ data constitutive_sd(:,19,2)/ 1, 1, 1/ ; data constitutive_sn(:,19,2)/ 1,-2, 1/ data constitutive_sd(:,20,2)/-1, 1, 1/ ; data constitutive_sn(:,20,2)/ 1, 2,-1/ data constitutive_sd(:,21,2)/ 1, 1,-1/ ; data constitutive_sn(:,21,2)/ 1, 1, 2/ data constitutive_sd(:,22,2)/ 1,-1, 1/ ; data constitutive_sn(:,22,2)/-1, 1, 2/ data constitutive_sd(:,23,2)/-1, 1, 1/ ; data constitutive_sn(:,23,2)/ 1,-1, 2/ data constitutive_sd(:,24,2)/ 1, 1, 1/ ; data constitutive_sn(:,24,2)/ 1, 1,-2/ !* System {123}<111> !* Sort? data constitutive_sd(:,25,2)/ 1, 1,-1/ ; data constitutive_sn(:,25,2)/ 1, 2, 3/ data constitutive_sd(:,26,2)/ 1,-1, 1/ ; data constitutive_sn(:,26,2)/-1, 2, 3/ data constitutive_sd(:,27,2)/-1, 1, 1/ ; data constitutive_sn(:,27,2)/ 1,-2, 3/ data constitutive_sd(:,28,2)/ 1, 1, 1/ ; data constitutive_sn(:,28,2)/ 1, 2,-3/ data constitutive_sd(:,29,2)/ 1,-1, 1/ ; data constitutive_sn(:,29,2)/ 1, 3, 2/ data constitutive_sd(:,30,2)/ 1, 1,-1/ ; data constitutive_sn(:,30,2)/-1, 3, 2/ data constitutive_sd(:,31,2)/ 1, 1, 1/ ; data constitutive_sn(:,31,2)/ 1,-3, 2/ data constitutive_sd(:,32,2)/-1, 1, 1/ ; data constitutive_sn(:,32,2)/ 1, 3,-2/ data constitutive_sd(:,33,2)/ 1, 1,-1/ ; data constitutive_sn(:,33,2)/ 2, 1, 3/ data constitutive_sd(:,34,2)/ 1,-1, 1/ ; data constitutive_sn(:,34,2)/-2, 1, 3/ data constitutive_sd(:,35,2)/-1, 1, 1/ ; data constitutive_sn(:,35,2)/ 2,-1, 3/ data constitutive_sd(:,36,2)/ 1, 1, 1/ ; data constitutive_sn(:,36,2)/ 2, 1,-3/ data constitutive_sd(:,37,2)/ 1,-1, 1/ ; data constitutive_sn(:,37,2)/ 2, 3, 1/ data constitutive_sd(:,38,2)/ 1, 1,-1/ ; data constitutive_sn(:,38,2)/-2, 3, 1/ data constitutive_sd(:,39,2)/ 1, 1, 1/ ; data constitutive_sn(:,39,2)/ 2,-3, 1/ data constitutive_sd(:,40,2)/-1, 1, 1/ ; data constitutive_sn(:,40,2)/ 2, 3,-1/ data constitutive_sd(:,41,2)/-1, 1, 1/ ; data constitutive_sn(:,41,2)/ 3, 1, 2/ data constitutive_sd(:,42,2)/ 1, 1, 1/ ; data constitutive_sn(:,42,2)/-3, 1, 2/ data constitutive_sd(:,43,2)/ 1, 1,-1/ ; data constitutive_sn(:,43,2)/ 3,-1, 2/ data constitutive_sd(:,44,2)/ 1,-1, 1/ ; data constitutive_sn(:,44,2)/ 3, 1,-2/ data constitutive_sd(:,45,2)/-1, 1, 1/ ; data constitutive_sn(:,45,2)/ 3, 2, 1/ data constitutive_sd(:,46,2)/ 1, 1, 1/ ; data constitutive_sn(:,46,2)/-3, 2, 1/ data constitutive_sd(:,47,2)/ 1, 1,-1/ ; data constitutive_sn(:,47,2)/ 3,-2, 1/ data constitutive_sd(:,48,2)/ 1,-1, 1/ ; data constitutive_sn(:,48,2)/ 3, 2,-1/ !*** Slip systems for HCP structures (3) *** !* Basal systems {0001}<1120> (independent of c/a-ratio) !* 1- (0 0 0 1)[-2 1 1 0] !* 2- (0 0 0 1)[ 1 -2 1 0] !* 3- (0 0 0 1)[ 1 1 -2 0] !* Plane (hkil)->(hkl) !* Direction [uvtw]->[(u-t) (v-t) w] !* Automatical transformation from Bravais to Miller !* not done for the moment !* Sort? data constitutive_sd(:, 1,3)/-1, 0, 0/ ; data constitutive_sn(:, 1,3)/ 0, 0, 1/ data constitutive_sd(:, 2,3)/ 0,-1, 0/ ; data constitutive_sn(:, 2,3)/ 0, 0, 1/ data constitutive_sd(:, 3,3)/ 1, 1, 0/ ; data constitutive_sn(:, 3,3)/ 0, 0, 1/ !* 1st type prismatic systems {1010}<1120> (independent of c/a-ratio) !* 1- ( 0 1 -1 0)[-2 1 1 0] !* 2- ( 1 0 -1 0)[ 1 -2 1 0] !* 3- (-1 1 0 0)[ 1 1 -2 0] !* Sort? data constitutive_sd(:, 4,3)/-1, 0, 0/ ; data constitutive_sn(:, 4,3)/ 0, 1, 0/ data constitutive_sd(:, 5,3)/ 0,-1, 0/ ; data constitutive_sn(:, 5,3)/ 1, 0, 0/ data constitutive_sd(:, 6,3)/ 1, 1, 0/ ; data constitutive_sn(:, 6,3)/-1, 1, 0/ !* 1st type 1st order pyramidal systems {1011}<1120> !* plane normales depend on the c/a-ratio !* 1- ( 0 -1 1 1)[-2 1 1 0] !* 2- ( 0 1 -1 1)[-2 1 1 0] !* 3- (-1 0 1 1)[ 1 -2 1 0] !* 4- ( 1 0 -1 1)[ 1 -2 1 0] !* 5- (-1 1 0 1)[ 1 1 -2 0] !* 6- ( 1 -1 0 1)[ 1 1 -2 0] !* Sort? data constitutive_sd(:, 7,3)/-1, 0, 0/ ; data constitutive_sn(:, 7,3)/ 0,-1, 1/ data constitutive_sd(:, 8,3)/ 0,-1, 0/ ; data constitutive_sn(:, 8,3)/ 0, 1, 1/ data constitutive_sd(:, 9,3)/ 1, 1, 0/ ; data constitutive_sn(:, 9,3)/-1, 0, 1/ 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(:,12,3)/ 1, 1, 0/ ; data constitutive_sn(:,12,3)/ 1,-1, 1/ !* Slip-slip interactions matrices !* (defined for the moment as crystal structure property and not as material property) !* (may be changed in the future) real(pReal), dimension(constitutive_MaxMaxNslipOfStructure,constitutive_MaxMaxNslipOfStructure,constitutive_MaxCrystalStructure) :: constitutive_hardening_matrix real(pReal), parameter :: constitutive_latent_hardening=1.4 !************************************* !* 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 real(pReal), dimension(:,:,:) , allocatable :: texture_Gauss real(pReal), dimension(:,:,:) , allocatable :: texture_Fiber real(pReal), dimension(:,:,:) , allocatable :: constitutive_phi1 real(pReal), dimension(:,:,:) , allocatable :: constitutive_phi real(pReal), dimension(:,:,:) , allocatable :: constitutive_phi2 !************************************ !* 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_SchmidMatrices !* - constitutive_HardeningMatrices !* - constitutive_CountSections !* - constitutive_Parse_UnknownPart !* - constitutive_Parse_MaterialPart !* - constitutive_Parse_TexturePart !* - constitutive_Parse_MatTexDat !* - constitutive_Assignement !* - constitutive_HomogenizedC !* - constitutive_LpAndItsTangent !* - consistutive_DotState !**************************************** subroutine constitutive_Init() !************************************** !* Module initialization * !************************************** call constitutive_SchmidMatrices() call constitutive_HardeningMatrices() call constitutive_Parse_MatTexDat('mattex.mpie') call constitutive_Assignement() end subroutine subroutine constitutive_SchmidMatrices() !************************************** !* Calculation of Schmid matrices * !************************************** use prec, only: pReal,pInt implicit none !* Definition of variables integer(pInt) i,j,k,l real(pReal) invNorm !* Iteration over the crystal structures do l=1,3 !* Iteration over the systems do k=1,constitutive_MaxNslipOfStructure(l) !* Defintion of Schmid matrix forall (i=1:3,j=1:3) constitutive_Sslip(i,j,k,l)=constitutive_sd(i,k,l)*constitutive_sn(j,k,l) endforall !* 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)*(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 !* 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(2,k,l)=constitutive_Sslip(2,2,k,l) constitutive_Sslip_v(3,k,l)=constitutive_Sslip(3,3,k,l) constitutive_Sslip_v(4,k,l)=constitutive_Sslip(1,2,k,l)+constitutive_Sslip(2,1,k,l) constitutive_Sslip_v(5,k,l)=constitutive_Sslip(2,3,k,l)+constitutive_Sslip(3,3,k,l) constitutive_Sslip_v(6,k,l)=constitutive_Sslip(1,3,k,l)+constitutive_Sslip(3,1,k,l) enddo enddo end subroutine subroutine constitutive_HardeningMatrices() !**************************************** !* Hardening matrix (see Kalidindi) * !**************************************** use prec, only: pReal,pInt implicit none !* Definition of variables integer(pInt) i,j,k,l !* Initialization of the hardening matrix constitutive_hardening_matrix=constitutive_latent_hardening !* Iteration over the crystal structures do l=1,3 select case(l) !* Hardening matrix for FCC structures case (1) do k=1,10,3 forall (i=1:3,j=1:3) constitutive_hardening_matrix(k-1+i,k-1+j,l)=1.0_pReal endforall enddo !* Hardening matrix for BCC structures case (2) do k=1,11,2 forall (i=1:2,j=1:2) constitutive_hardening_matrix(k-1+i,k-1+j,l)=1.0_pReal endforall enddo do k=13,48 constitutive_hardening_matrix(k,k,l)=1.0_pReal enddo !* Hardening matrix for HCP structures case (3) forall (i=1:3,j=1:3) constitutive_hardening_matrix(i,j,l)=1.0_pReal endforall do k=4,12 constitutive_hardening_matrix(k,k,l)=1.0_pReal enddo end select enddo end subroutine subroutine constitutive_CountSections(file,count,part) !********************************************************************* !* This subroutine reads a "part" from the input file until the next * !* part is reached and counts the number of "sections" in the part * !* INPUT: * !* - file : file ID * !* OUTPUT: * !* - part : name of the next "part" * !* - count : number of sections inside the current "part" * !********************************************************************* use prec, only: pInt use IO, only: IO_stringPos,IO_stringValue,IO_lc implicit none !* Definition of variables character(len=80) part,line,tag integer(pInt) file,count,pos integer(pInt), dimension(3) :: positions count=0 part='' do while(.true.) read(file,'(a80)',END=100) line positions=IO_stringPos(line,1) tag=IO_lc(IO_stringValue(line,positions,1)) if (tag(1:1)=='<'.AND.tag(len_trim(tag):len_trim(tag))=='>') then part=tag(2:len_trim(tag)-1) exit elseif (tag(1:1)=='[') then count=count+1 endif enddo 100 return end subroutine subroutine constitutive_CountGaussAndFiber(file,count,part) !********************************************************************* !********************************************************************* use prec, only: pInt use IO, only: IO_stringPos,IO_stringValue,IO_lc implicit none !* Definition of variables character(len=80) line,tag,part integer(pInt) file,count,pos integer(pInt), dimension(3) :: positions part='' do while(.true.) read(file,'(a80)',END=100) line positions=IO_stringPos(line,1) tag=IO_lc(IO_stringValue(line,positions,1)) if (tag(1:1)=='<'.AND.tag(len_trim(tag):len_trim(tag))=='>') then part=tag(2:len_trim(tag)-1) exit elseif (tag(1:1)=='[') then count=count+1 elseif (tag(2:len_trim(tag)-1)=='gauss') then texture_NGauss(count)=texture_NGauss(count)+1 elseif (tag(2:len_trim(tag)-1)=='fiber') then texture_NFiber(count)=texture_NFiber(count)+1 endif enddo 100 return end subroutine character(len=80) function constitutive_Parse_UnknownPart(file) !********************************************************************* !* read an unknown "part" from the input file until * !* the next part is reached * !* INPUT: * !* - file : file ID * !********************************************************************* use prec, only: pInt use IO, only: IO_stringPos,IO_stringValue,IO_lc implicit none !* Definition of variables character(len=80) line,tag integer(pInt), parameter :: maxNchunks = 1 integer(pInt) file integer(pInt), dimension(1+2*maxNchunks) :: positions constitutive_parse_unknownPart='' do while(.true.) read(file,'(a80)',END=100) line positions=IO_stringPos(line,maxNchunks) tag=IO_lc(IO_stringValue(line,positions,1)) if (tag(1:1)=='<'.AND.tag(len_trim(tag):len_trim(tag))=='>') then constitutive_Parse_UnknownPart=tag(2:len_trim(tag)-1) exit endif enddo 100 return end function character(len=80) function constitutive_Parse_MaterialPart(file) !********************************************************************* !* This function reads a material "part" from the input file until * !* the next part is reached * !* INPUT: * !* - file : file ID * !********************************************************************* use prec, only: pInt use IO implicit none !* Definition of variables character(len=80) line,tag integer(pInt), parameter :: maxNchunks = 2 integer(pInt) file,section integer(pInt), dimension(1+2*maxNchunks) :: positions section = 0 constitutive_parse_materialPart = '' do while(.true.) read(file,'(a80)',END=100) line positions=IO_stringPos(line,maxNchunks) ! parse leading chunks tag=IO_lc(IO_stringValue(line,positions,1)) if (tag(1:1)=='#') then ! skip comment line cycle elseif (tag(1:1)=='<'.AND.tag(len_trim(tag):len_trim(tag))=='>') then constitutive_parse_materialPart=tag(2:len_trim(tag)-1) exit elseif (tag(1:1)=='[') then section=section+1 else if (section>0) then select case(tag) case ('crystal_structure') material_CrystalStructure(section)=IO_intValue(line,positions,2) case ('nslip') material_Nslip(section)=IO_intValue(line,positions,2) case ('c11') material_C11(section)=IO_floatValue(line,positions,2) case ('c12') material_C12(section)=IO_floatValue(line,positions,2) case ('c13') material_C13(section)=IO_floatValue(line,positions,2) case ('c33') material_C33(section)=IO_floatValue(line,positions,2) case ('c44') material_C44(section)=IO_floatValue(line,positions,2) case ('s0_slip') material_s0_slip(section)=IO_floatValue(line,positions,2) case ('gdot0_slip') material_gdot0_slip(section)=IO_floatValue(line,positions,2) case ('n_slip') material_n_slip(section)=IO_floatValue(line,positions,2) case ('h0') material_h0(section)=IO_floatValue(line,positions,2) case ('s_sat') material_s_sat(section)=IO_floatValue(line,positions,2) case ('w0') material_w0(section)=IO_floatValue(line,positions,2) end select endif endif enddo 100 return end function character(len=80) function constitutive_Parse_TexturePart(file) !********************************************************************* !* This function reads a texture "part" from the input file until * !* the next part is reached * !* INPUT: * !* - file : file ID * !********************************************************************* use prec, only: pInt use IO implicit none !* Definition of variables character(len=80) line,tag integer(pInt), parameter :: maxNchunks = 13 ! may be more than 10 chunks ..? integer(pInt) file,pos,section,gaussCount,fiberCount,i integer(pInt), dimension(1+2*maxNchunks) :: positions section = 0 gaussCount = 0 fiberCount = 0 constitutive_parse_texturePart = '' do while(.true.) read(file,'(a80)',END=100) line positions=IO_stringPos(line,maxNchunks) ! parse leading chunks tag=IO_lc(IO_stringValue(line,positions,1)) if (tag(1:1)=='#') then ! skip comment line cycle elseif (tag(1:1)=='<'.AND.tag(len_trim(tag):len_trim(tag))=='>') then constitutive_parse_texturePart=tag(2:len_trim(tag)-1) exit elseif (tag(1:1)=='[') then section=section+1 gaussCount=0 fiberCount=0 else if (section>0) then select case(tag) case ('hybridIA') texture_ODFfile(section)=IO_stringValue(line,positions,2) case ('(gauss)') gaussCount=gaussCount+1 do i=2,10,2 tag=IO_lc(IO_stringValue(line,positions,i)) select case (tag) case('phi1') texture_Gauss(1,gaussCount,section)=IO_floatValue(line,positions,i+1) case('phi') texture_Gauss(2,gaussCount,section)=IO_floatValue(line,positions,i+1) case('phi2') texture_Gauss(3,gaussCount,section)=IO_floatValue(line,positions,i+1) case('scatter') texture_Gauss(5,gaussCount,section)=IO_floatValue(line,positions,i+1) case('fraction') texture_Gauss(6,gaussCount,section)=IO_floatValue(line,positions,i+1) end select enddo case ('(fiber)') fiberCount=fiberCount+1 do i=2,12,2 tag=IO_lc(IO_stringValue(line,positions,i)) select case (tag) case('alpha1') texture_fiber(1,fiberCount,section)=IO_floatValue(line,positions,i+1) case('alpha2') texture_fiber(2,fiberCount,section)=IO_floatValue(line,positions,i+1) case('beta1') texture_fiber(3,fiberCount,section)=IO_floatValue(line,positions,i+1) case('beta2') texture_fiber(4,fiberCount,section)=IO_floatValue(line,positions,i+1) case('scatter') texture_fiber(5,fiberCount,section)=IO_floatValue(line,positions,i+1) case('fraction') texture_fiber(6,fiberCount,section)=IO_floatValue(line,positions,i+1) end select enddo case ('ngrains') texture_Ngrains(section)=IO_intValue(line,positions,2) case ('symmetry') texture_symmetry(section)=IO_stringValue(line,positions,2) end select endif endif enddo 100 return end function subroutine constitutive_Parse_MatTexDat(filename) !********************************************************************* !* This function reads the material and texture input file * !* INPUT: * !* - filename : name of input file * !********************************************************************* use prec, only: pReal,pInt use IO implicit none !* Definition of variables character(len=*) filename character(len=80) part,formerPart integer(pInt) sectionCount,dummy,i,j,k !* First reading: number of materials and textures !* determine material_maxN and texture_maxN open(1,FILE=filename,ACTION='READ',STATUS='OLD',ERR=100) part = '_dummy_' do while (part/='') formerPart = part call constitutive_CountSections(1,sectionCount,part) select case (formerPart) case ('materials') material_maxN = sectionCount case ('textures') texture_maxN = sectionCount end select enddo close(1) !* Arrays allocation allocate(texture_NGauss(texture_maxN)) ; texture_NGauss=0_pInt allocate(texture_NFiber(texture_maxN)) ; texture_NFiber=0_pInt !* Second reading: number of Gauss and Fiber !* determine material_maxN and texture_maxN open(1,FILE=filename,ACTION='READ',STATUS='OLD',ERR=100) part = '_dummy_' sectionCount = 0 do while (part/='') select case (part) case ('textures') call constitutive_CountGaussAndFiber(1,sectionCount,part) case default call constitutive_CountSections(1,dummy,part) end select enddo close(1) !* Arrays allocation texture_maxNGauss=maxval(texture_NGauss) texture_maxNFiber=maxval(texture_NFiber) allocate(material_CrystalStructure(material_maxN)) ; material_CrystalStructure=0_pInt allocate(material_Nslip(material_maxN)) ; material_Nslip=0_pInt allocate(material_C11(material_maxN)) ; material_C11=0.0_pReal allocate(material_C12(material_maxN)) ; material_C12=0.0_pReal allocate(material_C13(material_maxN)) ; material_C13=0.0_pReal allocate(material_C33(material_maxN)) ; material_C33=0.0_pReal allocate(material_C44(material_maxN)) ; material_C44=0.0_pReal allocate(material_Cslip_66(6,6,material_maxN)) ; material_Cslip_66=0.0_pReal allocate(material_s0_slip(material_maxN)) ; material_s0_slip=0.0_pReal allocate(material_gdot0_slip(material_maxN)) ; material_gdot0_slip=0.0_pReal allocate(material_n_slip(material_maxN)) ; material_n_slip=0.0_pReal allocate(material_h0(material_maxN)) ; material_h0=0.0_pReal allocate(material_s_sat(material_maxN)) ; material_s_sat=0.0_pReal allocate(material_w0(material_maxN)) ; material_w0=0.0_pReal allocate(texture_ODFfile(texture_maxN)) ; texture_ODFfile='' allocate(texture_Ngrains(texture_maxN)) ; texture_Ngrains=0_pInt allocate(texture_symmetry(texture_maxN)) ; texture_symmetry='' allocate(texture_Gauss(6,texture_maxNGauss,texture_maxN)) ; texture_Gauss=0.0_pReal allocate(texture_Fiber(6,texture_maxNGauss,texture_maxN)) ; texture_Fiber=0.0_pReal !* Third reading: materials and textures are stored open(1,FILE=filename,ACTION='READ',STATUS='OLD',ERR=100) part='_dummy_' do while (part/='') select case (part) case ('materials') part=constitutive_Parse_MaterialPart(1) case ('textures') part=constitutive_Parse_TexturePart(1) case default part=constitutive_Parse_UnknownPart(1) end select enddo close(1) !* Construction of the elasticity matrices do i=1,material_maxN select case (material_CrystalStructure(i)) case(1:2) do k=1,3 do j=1,3 material_Cslip_66(k,j,i)=material_C12(i) enddo material_Cslip_66(k,k,i)=material_C11(i) material_Cslip_66(k+3,k+3,i)=material_C44(i) enddo case(3) material_Cslip_66(1,1,i)=material_C11(i) material_Cslip_66(2,2,i)=material_C11(i) material_Cslip_66(3,3,i)=material_C33(i) material_Cslip_66(1,2,i)=material_C12(i) material_Cslip_66(2,1,i)=material_C12(i) material_Cslip_66(1,3,i)=material_C13(i) material_Cslip_66(3,1,i)=material_C13(i) material_Cslip_66(2,3,i)=material_C13(i) material_Cslip_66(3,2,i)=material_C13(i) material_Cslip_66(4,4,i)=material_C44(i) material_Cslip_66(5,5,i)=material_C44(i) material_Cslip_66(6,6,i)=0.5_pReal*(material_C11(i)-material_C12(i)) end select !* If MARC !constitutive_Cslip_66(:,:,i)=TransformCForMarc(constitutive_Cslip_66(:,:,i)) enddo ! MISSING some consistency checks may be..? return 100 call IO_error(110) ! corrupt matarials_textures file end subroutine subroutine constitutive_Assignement() !********************************************************************* !* This subroutine assign material parameters according to ipc,ip,el * !********************************************************************* use prec, only: pReal,pInt use mesh, only: mesh_NcpElems,FE_Nips,mesh_maxNips,mesh_element !use CPFEM, only: CPFEM_Fp_old implicit none !* Definition of variables integer(pInt) i,j,k,l integer(pInt) multiplicity !* Allocate arrays constitutive_maxNgrains=maxval(texture_Ngrains) allocate(constitutive_Ngrains(mesh_maxNips,mesh_NcpElems)) constitutive_Ngrains=0_pInt allocate(constitutive_matID(constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems)) constitutive_matID=0_pInt allocate(constitutive_texID(constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems)) constitutive_texID=0_pInt allocate(constitutive_MatVolFrac(constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems)) constitutive_MatVolFrac=0.0_pReal allocate(constitutive_TexVolFrac(constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems)) constitutive_TexVolFrac=0.0_pReal allocate(constitutive_phi1(constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems)) constitutive_phi1=0.0_pReal allocate(constitutive_phi(constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems)) constitutive_phi=0.0_pReal allocate(constitutive_phi2(constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems)) constitutive_phi2=0.0_pReal !* State variables constitutive_maxNstatevars=material_maxNslip allocate(constitutive_Nstatevars(constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems)) constitutive_Nstatevars=0_pInt allocate(constitutive_state_old(constitutive_maxNstatevars,constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems)) constitutive_state_old=0.0_pReal allocate(constitutive_state_new(constitutive_maxNstatevars,constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems)) constitutive_state_new=0.0_pReal !* Results allocate(constitutive_Nresults(constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems)) constitutive_Nresults=0_pInt !* Assignement do i=1,mesh_NcpElems do j=1,FE_Nips(mesh_element(2,i)) !* Multiplicity of orientations per texture constitutive_Ngrains(j,i)=texture_Ngrains(mesh_element(4,i)) multiplicity=constitutive_Ngrains(j,i)/(texture_NGauss(mesh_element(4,i))+texture_NFiber(mesh_element(4,i))) do k=1,constitutive_Ngrains(j,i) !* MaterialID and TextureID constitutive_matID(k,j,i)=mesh_element(3,i) constitutive_texID(k,j,i)=mesh_element(4,i) constitutive_MatVolFrac(k,j,i)=1.0_pReal do l=1,multiplicity ! constitutive_TexVolFrac(k,j,i)=texture_Gauss/Fiber(6,M*([gauss]+[fiber]),mesh_element(4,i)) ! constitutive_phi1(k,j,i)=texture_Gauss/Fiber(1,M*([gauss]+[fiber]),mesh_element(4,i)) ! constitutive_phi(k,j,i)=texture_Gauss/Fiber(2,M*([gauss]+[fiber]),mesh_element(4,i)) ! constitutive_phi2(k,j,i)=texture_Gauss/Fiber(3,M*([gauss]+[fiber]),mesh_element(4,i)) enddo !* Initialization of state variables do l=1,material_Nslip(constitutive_matID(k,j,i)) constitutive_state_old(l,k,j,i)=material_s0_slip(constitutive_matID(k,j,i)) constitutive_state_new(l,k,j,i)=material_s0_slip(constitutive_matID(k,j,i)) enddo enddo enddo enddo end subroutine function constitutive_HomogenizedC(ipc,ip,el) !********************************************************************* !* This function gives the homogenized elacticity matrix back * !* INPUT: * !* - ipc : component-ID of current integration point * !* - ip : current integration point * !* - el : current element * !********************************************************************* use prec, only: pReal,pInt implicit none !* Definition of variables integer(pInt) ipc,ip,el real(pReal), dimension(6,6) :: constitutive_homogenizedC !* Homogenization scheme constitutive_homogenizedC=constitutive_MatVolFrac(ipc,ip,el)*material_Cslip_66(:,:,constitutive_matID(ipc,ip,el)) return end function !subroutine constitutive_InitFp(CPFEM_Fp_old) !********************************************************************* !* This function reads the material and texture input file * !* INPUT: * !* - CPFEM_Fp_old : old plastic deformation gradient * !********************************************************************* !use prec, only: pReal,pInt !use CPFEM, only: CPFEM_Fp_old !implicit none !* Definition of variables !* Initialization of Fp_old with starting orientation !end subroutine subroutine constitutive_LpAndItsTangent(Tstar_v_m,ipc,ip,el,Lp,dLp_dTstar) !********************************************************************* !* This subroutine contains the constitutive equation for * !* calculating the velocity gradient * !* INPUT: * !* - Tstar_v_m : 2nd Piola Kirchhoff stress tensor (Mandel) * !* - ipc : component-ID of current integration point * !* - ip : current integration point * !* - el : current element * !* OUTPUT: * !* - Lp : plastic velocity gradient * !* - dLp_dTstar : derivative of Lp (4th-order tensor) * !********************************************************************* use prec, only: pReal,pInt implicit none !* Definition of variables integer(pInt) ipc,ip,el integer(pInt) matID,i,k,l,m,n real(pReal) Tstar_v(6),Tstar_v_m(6) real(pReal) Lp(3,3) real(pReal) dLp_dTstar(3,3,3,3) real(pReal), dimension(constitutive_matID(ipc,ip,el)) :: gdot_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) matID=constitutive_matID(ipc,ip,el) !* Tstar_v tranformed Tstar_v(4)=Tstar_v_m(4)/dsqrt(2.0_pReal) Tstar_v(5)=Tstar_v_m(5)/dsqrt(2.0_pReal) Tstar_v(6)=Tstar_v_m(6)/dsqrt(2.0_pReal) !* Calculation of Lp Lp=0.0_pReal do i=1,material_Nslip(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))**material_n_slip(matID)*sign(1.0_pReal,tau_slip(i)) Lp=Lp+gdot_slip(i)*constitutive_Sslip(:,:,i,material_CrystalStructure(matID)) enddo !* Calculation of the tangent of Lp dLp_dTstar=0.0_pReal do i=1,material_Nslip(matID) dgdot_dtauslip(i)=material_gdot0_slip(matID)*(abs(tau_slip(i))/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) 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) endforall enddo return end subroutine function constitutive_DotState(Tstar_v_m,ipc,ip,el) !********************************************************************* !* This subroutine contains the constitutive equation for * !* calculating the velocity gradient * !* INPUT: * !* - Tstar_v_m : 2nd Piola Kirchhoff stress tensor (Mandel) * !* - ipc : component-ID of current integration point * !* - ip : current integration point * !* - el : current element * !* OUTPUT: * !* - constitutive_DotState : evolution of state variable * !********************************************************************* use prec, only: pReal,pInt implicit none !* Definition of variables integer(pInt) ipc,ip,el integer(pInt) matID,i real(pReal) Tstar_v(6),Tstar_v_m(6) real(pReal), dimension(constitutive_matID(ipc,ip,el)) :: constitutive_DotState real(pReal), dimension(constitutive_matID(ipc,ip,el)) :: gdot_slip 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) matID=constitutive_matID(ipc,ip,el) !* Tstar_v tranformed Tstar_v(4)=Tstar_v_m(4)/dsqrt(2.0_pReal) Tstar_v(5)=Tstar_v_m(5)/dsqrt(2.0_pReal) Tstar_v(6)=Tstar_v_m(6)/dsqrt(2.0_pReal) !* Self-Hardening of each system do i=1,constitutive_Nstatevars(ipc,ip,el) 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))**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)/material_s_sat(matID))**material_w0(matID)*abs(gdot_slip(i)) enddo !* Hardening for all systems constitutive_DotState=matmul(constitutive_hardening_matrix(1:material_Nslip(matID),1:material_Nslip(matID),material_CrystalStructure(matID)),self_hardening) return end function END MODULE