!************************************ !* 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 !***************************** !* Module parameters * !***************************** !* Character * character(len=80), allocatable :: constitutive_ODFfile(:) ! NB: ODFfile(number of texture) character(len=80), allocatable :: constitutive_symmetry(:) ! NB: symmetry(number of texture) !* Integer * integer(pInt) constitutive_Nmats ! NB: Number of materials (read in material file) integer(pInt) constitutive_Ntexts ! NB: Number of textures (read in material file) integer(pInt), allocatable :: constitutive_crystal_structure(:) ! NB: crystal_structure(number of material)=1-3 integer(pInt), allocatable :: constitutive_Nslip(:) ! NB: Number of systems for each material integer(pInt) constitutive_Nslip_max(3) ! NB: Number of defines slip systems integer(pInt), allocatable :: constitutive_Ngrains(:) ! NB: Ngrains(number of texture) !* Real * real(pReal), allocatable :: constitutive_C11(:) real(pReal), allocatable :: constitutive_C12(:) real(pReal), allocatable :: constitutive_C13(:) real(pReal), allocatable :: constitutive_C33(:) real(pReal), allocatable :: constitutive_C44(:) real(pReal), allocatable :: constitutive_Cslip_66(:,:,:) ! NB: Cslip_66(1:6,1:6,number of materials) real(pReal), allocatable :: constitutive_s0_slip(:) real(pReal), allocatable :: constitutive_gdot0_slip(:) real(pReal), allocatable :: constitutive_n_slip(:) real(pReal), allocatable :: constitutive_h0(:) real(pReal), allocatable :: constitutive_s_sat(:) real(pReal), allocatable :: constitutive_w0(:) ! NB: Parameters(number of materials) real(pReal), allocatable :: constitutive_hardening_matrix(:,:,:) ! NB: hardening_matrix(48,48,3) real(pReal), parameter :: constitutive_latent_hardening=1.4_pReal real(pReal) constitutive_sn(3,48,3),constitutive_sd(3,48,3) ! NB: slip normale and slip direction for 3 crystal structures ! Is 48 always the maximum number of systems? real(pReal) constitutive_Sslip(3,3,48,3),constitutive_Sslip_v(6,48,3) ! NB: Schmid matrices and corresponding Schmid vectors !*** Slip systems for FCC structures (1) *** data constitutive_Nslip_max(1)/12/ !* 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) *** data constitutive_Nslip_max(2)/48/ !* 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) *** data constitutive_Nslip_max(3)/12/ !* 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/ CONTAINS !**************************************** !* - constitutive_init * !* - constitutive_calc_SchmidM * !* - constitutive_calc_HardeningM * !* - constitutive_parse_materialDat * !* - orientation reading???? * !* - constitutive_calc_SlipRates * !* - constitutive_calc_Hardening * !* - consistutive_calc_PlasVeloGradient * !* - CPFEM_CauchyStress??????? * !**************************************** subroutine constitutive_init() !************************************** !* Module initialization * !************************************** call constitutive_calc_SchmidM() call constitutive_calc_hardeningM() call constitutive_parse_materialDat() end subroutine subroutine constitutive_calc_SchmidM() !************************************** !* 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_Nslip_max(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_calc_HardeningM() !**************************************** !* 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_parse_MatTexDat() !*********************************************************** !* Reading material parameters and texture components file * !*********************************************************** use prec, only: pReal,pInt use IO implicit none !* Definition of variables character(len=*) line integer(pInt) i_pass,i,j,k,l integer(pInt) start_positions(3) integer(pInt) material_positions(5) integer(pInt) texture_positions !* Open materials_textures.mpie file open(200,FILE='materials_textures.mpie',ACTION='READ',STATUS='OLD',ERR=100) !* Reading file !* Reading in 2 passes: !* - 1rt: to get Nmats and Ntexts | to allocate arrays !* - 2nd: to store material parameters and texture components do i_pass=1,2 !* Allocation of arrays if (i_pass.EQ.2) then allocate(constitutive_ODFfile(constitutive_Ntexts)) ; constitutive_ODFfile='' allocate(constitutive_Ngrains(constitutive_Ntexts)) ; constitutive_Ngrains=0_pInt allocate(constitutive_symmetry(constitutive_Ntexts)) ; constitutive_symmetry='' allocate(constitutive_crystal_structure(constitutive_Nmats)) ; constitutive_crystal_structure=0_pInt allocate(constitutive_Nslip(constitutive_Nmats)) ; constitutive_Nslip=0_pInt allocate(constitutive_C11(constitutive_Nmats)) ; constitutive_C11=0.0_pReal allocate(constitutive_C12(constitutive_Nmats)) ; constitutive_C12=0.0_pReal allocate(constitutive_C13(constitutive_Nmats)) ; constitutive_C13=0.0_pReal allocate(constitutive_C33(constitutive_Nmats)) ; constitutive_C33=0.0_pReal allocate(constitutive_C44(constitutive_Nmats)) ; constitutive_C44=0.0_pReal allocate(constitutive_s0_slip(constitutive_Nmats)) ; constitutive_s0_slip=0.0_pReal allocate(constitutive_gdot0_slip(constitutive_Nmats)) ; constitutive_gdot0_slip=0.0_pReal allocate(constitutive_n_slip(constitutive_Nmats)) ; constitutive_n_slip=0.0_pReal allocate(constitutive_h0(constitutive_Nmats)) ; constitutive_h0=0.0_pReal allocate(constitutive_s_sat(constitutive_Nmats)) ; constitutive_s_sat=0.0_pReal allocate(constitutive_w0(constitutive_Nmats)) ; constitutive_w0=0.0_pReal endif !* Initialisation of numbers of materials and textures constitutive_Nmats=0_pInt constitutive_Ntexts=0_pInt !* Reading first line read(200,610,ERR=200,END=200) line start_positions=IO_stringPos(line,1) select case(IO_stringValue(line,start_positions,1)) !* CASE1-1: First line contains case ('') do while(.true.) read(200,610,END=220) line select case(line(1:1)) !* CASE2-1: Current line contains case ('<') do while(.true.) read(200,610,END=220) line select case(line(1:1)) !* CASE4-1: Current line contains [comments] case ('[') constitutive_Ntexts=constitutive_Ntexts+1 !* CASE4-2: Current line contains texture parameters case default if (i_pass.EQ.2) then texture_positions=IO_stringPos(line,2) select case(IO_stringValue(line,texture_positions,1)) !* CASE5-1: Reading ODF file case ('HybridIA') constitutive_ODFfile(constitutive_Ntexts)=IO_stringValue(line,texture_positions,2) !* CASE5-2: Reading Gauss component case ('Gauss') !* CASE5-3: Reading Fiber component case ('Fiber') !* CASE5-4: Reading number of grains case ('Ngrains') constitutive_Ngrains(constitutive_Ntexts)=IO_intValue(line,texture_positions,2) !* CASE5-5: Reading symmetry case ('Symmetry') constitutive_symmetry(constitutive_Ntexts)=IO_stringValue(line,texture_positions,2) !* CASE5-6: Reading unknown texture parameter case default write(6,*) 'Unknown texture parameter ',line end select endif end select enddo !* CASE2-2: Current line contains [comments] case ('[') constitutive_Nmats=constitutive_Nmats+1 !* CASE2-3: Current line contains material parameters case default if (i_pass.EQ.2) then material_positions=IO_stringPos(line,2) select case(IO_stringValue(line,material_positions,1)) !* CASE3-1: Reading crystal structure case ('crystal_structure') constitutive_crystal_structure(constitutive_Nmats)=IO_intValue(line,material_positions,2) !* CASE3-2: Reading number of slip systems case ('Nslip') constitutive_Nslip(constitutive_Nmats)=IO_intValue(line,material_positions,2) !* CASE3-3: Reading C11 elastic constant case ('C11') constitutive_C11(constitutive_Nmats)=IO_floatValue(line,material_positions,2) !* CASE3-4: Reading C12 elastic constant case ('C12') constitutive_C12(constitutive_Nmats)=IO_floatValue(line,material_positions,2) !* CASE3-5: Reading C13 elastic constant case ('C13') constitutive_C13(constitutive_Nmats)=IO_floatValue(line,material_positions,2) !* CASE3-6: Reading C33 elastic constant case ('C33') constitutive_C33(constitutive_Nmats)=IO_floatValue(line,material_positions,2) !* CASE3-7: Reading C44 elastic constant case ('C44') constitutive_C44(constitutive_Nmats)=IO_floatValue(line,material_positions,2) !* CASE3-8: Reading initial slip resistance case ('s0_slip') constitutive_s0_slip(constitutive_Nmats)=IO_floatValue(line,material_positions,2) !* CASE3-9: Reading slip rate reference case ('gdot0_slip') constitutive_gdot0_slip(constitutive_Nmats)=IO_floatValue(line,material_positions,2) !* CASE3-10: Reading slip rate sensitivity case ('n_slip') constitutive_n_slip(constitutive_Nmats)=IO_floatValue(line,material_positions,2) !* CASE3-11: Reading initial hardening slope case ('h0') constitutive_h0(constitutive_Nmats)=IO_floatValue(line,material_positions,2) !* CASE3-12: Reading saturation stress value case ('s_sat') constitutive_s_sat(constitutive_Nmats)=IO_floatValue(line,material_positions,2) !* CASE3-13: Reading hardening sensitivity case ('w0') constitutive_w0(constitutive_Nmats)=IO_floatValue(line,material_positions,2) !* CASE3-14: Reading unknown parameter case default write(6,*) 'Unknown material parameter ',line end select endif end select enddo !* CASE1-2: First line does not contains or case default write(6,*) 'Problem with materials_textures.mpie file:' write(6,*) 'No material in the first line! ' end select enddo !* Close file 220 continue close(200) !* NOT IMPLEMENTED YET *! ! ** Defintion of stiffness matrices ** ! MISSING: this needs to be iterated over the materials Cslip_66 = 0.0_pRe do i=1,3 do j=1,3 Cslip_66(i,j) = C12 enddo Cslip_66(i,i) = C11 Cslip_66(i+3,i+3) = C44 enddo Cslip_3333(:,:,:,:) = math_66to3333(Cslip_66(:,:)) ! *** Transformation to get the MARC order *** ! *** 11,22,33,12,23,13 *** ! MISSING this should be outsourced to FEM-spec 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 return 100 call IO_error(110) 200 call IO_error(210) end subroutine subroutine constitutive_calc_SlipRates(matID,tau_slip,tauc_slip,gdot_slip,dgdot_dtaucslip) !********************************************************************* !* This subroutine contains the constitutive equation for the slip * !* rate on each slip system * !* INPUT: * !* - matID : material identifier * !* - tau_slip : applied shear stress on each slip system * !* - tauc_slip : critical shear stress on each slip system * !* OUTPUT: * !* - gdot_slip : slip rate on each slip system * !* - dgdot_dtaucslip : derivative of slip rate on each slip system * !********************************************************************* use prec, only: pReal,pInt implicit none !* Definition of variables integer(pInt) matID,i real(pReal) tau_slip(constitutive_Nslip(matID)) real(pReal) tauc_slip(constitutive_Nslip(matID)) real(pReal) gdot_slip(constitutive_Nslip(matID)) real(pReal) dgdot_dtaucslip(constitutive_Nslip(matID)) !* Iteration over the systems do i=1,constitutive_Nslip(matID) gdot_slip(i)=constitutive_gdot0_slip(matID)*(abs(tau_slip(i))/tauc_slip(i))**constitutive_n_slip(matID)*sign(1.0_pReal,tau_slip(i)) dgdot_dtaucslip(i)=constitutive_gdot0_slip(matID)*(abs(tau_slip(i))/tauc_slip(i))**(constitutive_n_slip(matID)-1.0_pReal)*constitutive_n_slip(matID)/tauc_slip(i) enddo return end subroutine subroutine constitutive_calc_Hardening(matID,tauc_slip,gdot_slip,dtauc_slip) !********************************************************************* !* This subroutine calculates the increment in critical shear stress * !* due to plastic deformation on each slip system * !* INPUT: * !* - matID : material identifier * !* - tauc_slip : critical shear stress on each slip system * !* - gdot_slip : slip rate on each slip system * !* OUTPUT: * !* - dtauc_slip : increment of hardening due to slip on each system * !********************************************************************* use prec, only: pReal,pInt implicit none !* Definition of variables integer(pInt) matID,i,j real(pReal) tauc_slip(constitutive_Nslip(matID)) real(pReal) gdot_slip(constitutive_Nslip(matID)) real(pReal) dtauc_slip(constitutive_Nslip(matID)) real(pReal) self_hardening(constitutive_Nslip(matID)) !* Self-Hardening of each system do i=1,constitutive_Nslip(matID) self_hardening(i)=constitutive_h0(matID)*(1.0_pReal-tauc_slip(i)/constitutive_s_sat(matID))**constitutive_w0(matID)*abs(gdot_slip(i)) enddo !* Hardening for all systems i=constitutive_Nslip(matID) j=constitutive_crystal_structure(matID) dtauc_slip=matmul(constitutive_hardening_matrix(1:i,1:i,j),self_hardening) return end subroutine subroutine constitutive_calc_PlasVeloGradient(dt,tau_slip,tauc_slip_new,Lp) !********************************************************************* !* This subroutine calculates the plastic velocity gradient given * !* the slip rates * !* INPUT: * !* - matID : material identifier * !* - dt : time step * !* - tau_slip : applied shear stress on each slip system * !* - tauc_slip : critical shear stress on each slip system * !* OUTPUT: * !* - Lp : plastic velocity gradient * !********************************************************************* use prec, only: pReal,pInt implicit none !* Definition of variables integer(pInt) matID,i real(pReal) dt,Lp(3,3) real(pReal) tau_slip(constitutive_Nslip(matID)) real(pReal) tauc_slip_new(constitutive_Nslip(matID)) real(pReal) gdot_slip(constitutive_Nslip(matID)) !* Calculation of Lp Lp=0.0_pReal do i=1,constitutive_Nslip(matID) gdot_slip(i)=constitutive_gdot0_slip(matID)*(abs(tau_slip(i))/tauc_slip(i))**constitutive_n_slip(matID)*sign(1.0_pReal,tau_slip(i)) Lp=Lp+gdot_slip(i)*constitutive_Sslip(:,:,i,constitutive_crystal_structure(matID)) enddo return end subroutine !function CPFEM_Cauchy(Estar_v,Fe,C66) ! *************************************************************** ! Subroutine calculates the cauchy from the elastic strain tensor ! Input: Estar_v : elastic strain tensor (in vector form) ! Fe : elastic deformation gradient ! C66 : Stiffness Tensor ! Output: cs : cauchy stress ! Local: Tstar_v,Tstar,mm,det ! *************************************************************** !use math !use prec !implicit none !real(pRe) Estar_v(6),Fe(3,3),C66(6,6),CPFEM_Cauchy(6) !real(pRe) det,mm(3,3),Tstar(3,3) !integer(pIn) i !det = math_det(Fe) !Tstar = math_6to33(matmul(C66,Estar_v)) !mm=matmul(matmul(Fe,Tstar),transpose(Fe))/det !CPFEM_Cauchy = math_33to6(mm) !return !end function END MODULE