diff --git a/code/constitutive_dislobased.f90 b/code/constitutive_dislobased.f90 index 7d24b6017..998e18453 100644 --- a/code/constitutive_dislobased.f90 +++ b/code/constitutive_dislobased.f90 @@ -8,71 +8,48 @@ !* - orientations * !************************************ -! [Alu] -! constitution dislobased -! (output) dislodensity -! (output) rateofshear -! lattice_structure 1 -! Nslip 12 -! -! c11 106.75e9 -! c12 60.41e9 -! c44 28.34e9 -! -! burgers 2.86e-10 # Burgers vector [m] -! Qedge 3e-19 # Activation energy for dislocation glide [J/K] (0.5*G*b^3) -! Qsd 2.4e-19 # Activation energy for self diffusion [J/K] (gamma-iron) -! diff0 1e-3 # prefactor vacancy diffusion coeffficent (gamma-iron) -! interaction_coefficients 1.0 2.2 3.0 1.6 3.8 4.5 # Dislocation interaction coefficients -! -! rho0 6.0e12 # Initial dislocation density [m/m^3] -! -! c1 0.1 # Passing stress adjustment -! c2 2.0 # Jump width adjustment -! c3 1.0 # Activation volume adjustment -! c4 50.0 # Average slip distance adjustment for lock formation -! c7 8.0 # Athermal recovery adjustment -! c8 1.0e10 # Thermal recovery adjustment (plays no role for me) - MODULE constitutive_dislobased !*** Include other modules *** use prec, only: pReal,pInt implicit none character (len=*), parameter :: constitutive_dislobased_label = 'dislobased' - - integer(pInt), dimension(:), allocatable :: constitutive_dislobased_sizeDotState, & - constitutive_dislobased_sizeState, & - constitutive_dislobased_sizePostResults - character(len=64), dimension(:,:), allocatable :: constitutive_dislobased_output - character(len=32), dimension(:), allocatable :: constitutive_dislobased_structureName - integer(pInt), dimension(:), allocatable :: constitutive_dislobased_structure - integer(pInt), dimension(:), allocatable :: constitutive_dislobased_Nslip - real(pReal), dimension(:), allocatable :: constitutive_dislobased_C11 - real(pReal), dimension(:), allocatable :: constitutive_dislobased_C12 - real(pReal), dimension(:), allocatable :: constitutive_dislobased_C13 - real(pReal), dimension(:), allocatable :: constitutive_dislobased_C33 - real(pReal), dimension(:), allocatable :: constitutive_dislobased_C44 - real(pReal), dimension(:), allocatable :: constitutive_dislobased_Gmod - real(pReal), dimension(:,:,:), allocatable :: constitutive_dislobased_Cslip_66 -!* Visco-plastic constitutive_phenomenological parameters - real(pReal), dimension(:), allocatable :: constitutive_dislobased_rho0 - real(pReal), dimension(:), allocatable :: constitutive_dislobased_bg - real(pReal), dimension(:), allocatable :: constitutive_dislobased_Qedge - real(pReal), dimension(:), allocatable :: constitutive_dislobased_Qsd - real(pReal), dimension(:), allocatable :: constitutive_dislobased_D0 - real(pReal), dimension(:), allocatable :: constitutive_dislobased_c1 - real(pReal), dimension(:), allocatable :: constitutive_dislobased_c2 - real(pReal), dimension(:), allocatable :: constitutive_dislobased_c3 - real(pReal), dimension(:), allocatable :: constitutive_dislobased_c4 - real(pReal), dimension(:), allocatable :: constitutive_dislobased_c5 - real(pReal), dimension(:), allocatable :: constitutive_dislobased_c6 - real(pReal), dimension(:), allocatable :: constitutive_dislobased_c7 - real(pReal), dimension(:), allocatable :: constitutive_dislobased_c8 - real(pReal), dimension(:), allocatable :: constitutive_dislobased_CoverA - real(pReal), dimension(:,:), allocatable :: constitutive_dislobased_SlipIntCoeff - real(pReal), dimension(:,:,:), allocatable :: constitutive_dislobased_Iparallel - real(pReal), dimension(:,:,:), allocatable :: constitutive_dislobased_Iforest + integer(pInt), dimension(:), allocatable :: constitutive_dislobased_sizeDotState, & + constitutive_dislobased_sizeState, & + constitutive_dislobased_sizePostResults + character(len=64), dimension(:,:), allocatable :: constitutive_dislobased_output + character(len=32), dimension(:), allocatable :: constitutive_dislobased_structureName + integer(pInt), dimension(:), allocatable :: constitutive_dislobased_structure + integer(pInt), dimension(:), allocatable :: constitutive_dislobased_Nslip + integer(pInt), dimension(:), allocatable :: constitutive_dislobased_Ntwin + real(pReal), dimension(:), allocatable :: constitutive_dislobased_C11 + real(pReal), dimension(:), allocatable :: constitutive_dislobased_C12 + real(pReal), dimension(:), allocatable :: constitutive_dislobased_C13 + real(pReal), dimension(:), allocatable :: constitutive_dislobased_C33 + real(pReal), dimension(:), allocatable :: constitutive_dislobased_C44 + real(pReal), dimension(:), allocatable :: constitutive_dislobased_Gmod + real(pReal), dimension(:,:,:), allocatable :: constitutive_dislobased_Cslip_66 + real(pReal), dimension(:,:,:,:), allocatable :: constitutive_dislobased_Ctwin_66 + real(pReal), dimension(:,:,:,:,:), allocatable :: constitutive_dislobased_Cslip_3333 + real(pReal), dimension(:,:,:,:,:,:), allocatable :: constitutive_dislobased_Ctwin_3333 + real(pReal), dimension(:), allocatable :: constitutive_dislobased_rho0 + real(pReal), dimension(:), allocatable :: constitutive_dislobased_bg + real(pReal), dimension(:), allocatable :: constitutive_dislobased_Qedge + real(pReal), dimension(:), allocatable :: constitutive_dislobased_grainsize + real(pReal), dimension(:), allocatable :: constitutive_dislobased_stacksize + real(pReal), dimension(:), allocatable :: constitutive_dislobased_fmax + real(pReal), dimension(:), allocatable :: constitutive_dislobased_Ndot0 + real(pReal), dimension(:), allocatable :: constitutive_dislobased_Cmfpslip + real(pReal), dimension(:), allocatable :: constitutive_dislobased_Cmfptwin + real(pReal), dimension(:), allocatable :: constitutive_dislobased_Cthresholdslip + real(pReal), dimension(:), allocatable :: constitutive_dislobased_Cthresholdtwin + real(pReal), dimension(:), allocatable :: constitutive_dislobased_Cactivolume + real(pReal), dimension(:), allocatable :: constitutive_dislobased_Cstorage + real(pReal), dimension(:), allocatable :: constitutive_dislobased_Carecovery + real(pReal), dimension(:), allocatable :: constitutive_dislobased_CoverA + real(pReal), dimension(:,:), allocatable :: constitutive_dislobased_SlipIntCoeff + real(pReal), dimension(:,:,:), allocatable :: constitutive_dislobased_Iparallel + real(pReal), dimension(:,:,:), allocatable :: constitutive_dislobased_Iforest !************************************* !* Definition of material properties * @@ -105,49 +82,50 @@ subroutine constitutive_dislobased_init(file) use math, only: math_Mandel3333to66, math_Voigt66to3333, math_mul3x3 use IO use material - use lattice, only: lattice_sn, lattice_st, lattice_interactionSlipSlip, lattice_initializeStructure + use lattice, only: lattice_sn,lattice_st,lattice_interactionSlipSlip,lattice_initializeStructure,lattice_Qtwin,lattice_tn integer(pInt), intent(in) :: file integer(pInt), parameter :: maxNchunks = 7 integer(pInt), dimension(1+2*maxNchunks) :: positions - integer(pInt) section, maxNinstance, i,j,k,l, output + integer(pInt) section,maxNinstance,i,j,k,l,m,n,o,p,q,r,s,output character(len=64) tag character(len=1024) line real(pReal) x,y - maxNinstance = count(phase_constitution == constitutive_dislobased_label) if (maxNinstance == 0) return - allocate(constitutive_dislobased_sizeDotState(maxNinstance)) ; constitutive_dislobased_sizeDotState = 0_pInt - allocate(constitutive_dislobased_sizeState(maxNinstance)) ; constitutive_dislobased_sizeState = 0_pInt - allocate(constitutive_dislobased_sizePostResults(maxNinstance)); constitutive_dislobased_sizePostResults = 0_pInt - allocate(constitutive_dislobased_output(maxval(phase_Noutput), & - maxNinstance)) ; constitutive_dislobased_output = '' - allocate(constitutive_dislobased_structureName(maxNinstance)) ; constitutive_dislobased_structureName = '' - allocate(constitutive_dislobased_structure(maxNinstance)) ; constitutive_dislobased_structure = 0_pInt - allocate(constitutive_dislobased_Nslip(maxNinstance)) ; constitutive_dislobased_Nslip = 0_pInt - allocate(constitutive_dislobased_C11(maxNinstance)) ; constitutive_dislobased_C11 = 0.0_pReal - allocate(constitutive_dislobased_C12(maxNinstance)) ; constitutive_dislobased_C12 = 0.0_pReal - allocate(constitutive_dislobased_C13(maxNinstance)) ; constitutive_dislobased_C13 = 0.0_pReal - allocate(constitutive_dislobased_C33(maxNinstance)) ; constitutive_dislobased_C33 = 0.0_pReal - allocate(constitutive_dislobased_C44(maxNinstance)) ; constitutive_dislobased_C44 = 0.0_pReal - allocate(constitutive_dislobased_Gmod(maxNinstance)) ; constitutive_dislobased_Gmod = 0.0_pReal - allocate(constitutive_dislobased_Cslip_66(6,6,maxNinstance)) ; constitutive_dislobased_Cslip_66 = 0.0_pReal - allocate(constitutive_dislobased_rho0(maxNinstance)) ; constitutive_dislobased_rho0 = 0.0_pReal - allocate(constitutive_dislobased_bg(maxNinstance)) ; constitutive_dislobased_bg = 0.0_pReal - allocate(constitutive_dislobased_Qedge(maxNinstance)) ; constitutive_dislobased_Qedge = 0.0_pReal - allocate(constitutive_dislobased_Qsd(maxNinstance)) ; constitutive_dislobased_Qsd = 0.0_pReal - allocate(constitutive_dislobased_D0(maxNinstance)) ; constitutive_dislobased_D0 = 0.0_pReal - allocate(constitutive_dislobased_c1(maxNinstance)) ; constitutive_dislobased_c1 = 0.0_pReal - allocate(constitutive_dislobased_c2(maxNinstance)) ; constitutive_dislobased_c2 = 0.0_pReal - allocate(constitutive_dislobased_c3(maxNinstance)) ; constitutive_dislobased_c3 = 0.0_pReal - allocate(constitutive_dislobased_c4(maxNinstance)) ; constitutive_dislobased_c4 = 0.0_pReal - allocate(constitutive_dislobased_c5(maxNinstance)) ; constitutive_dislobased_c5 = 0.0_pReal - allocate(constitutive_dislobased_c6(maxNinstance)) ; constitutive_dislobased_c6 = 0.0_pReal - allocate(constitutive_dislobased_c7(maxNinstance)) ; constitutive_dislobased_c7 = 0.0_pReal - allocate(constitutive_dislobased_c8(maxNinstance)) ; constitutive_dislobased_c8 = 0.0_pReal - allocate(constitutive_dislobased_CoverA(maxNinstance)) ; constitutive_dislobased_CoverA = 0.0_pReal - allocate(constitutive_dislobased_SlipIntCoeff(6,maxNinstance)) ; constitutive_dislobased_SlipIntCoeff = 0.0_pReal + allocate(constitutive_dislobased_sizeDotState(maxNinstance)) ; constitutive_dislobased_sizeDotState = 0_pInt + allocate(constitutive_dislobased_sizeState(maxNinstance)) ; constitutive_dislobased_sizeState = 0_pInt + allocate(constitutive_dislobased_sizePostResults(maxNinstance)) ; constitutive_dislobased_sizePostResults = 0_pInt + allocate(constitutive_dislobased_structureName(maxNinstance)) ; constitutive_dislobased_structureName = '' + allocate(constitutive_dislobased_structure(maxNinstance)) ; constitutive_dislobased_structure = 0_pInt + allocate(constitutive_dislobased_Nslip(maxNinstance)) ; constitutive_dislobased_Nslip = 0_pInt + allocate(constitutive_dislobased_Ntwin(maxNinstance)) ; constitutive_dislobased_Ntwin = 0_pInt + allocate(constitutive_dislobased_C11(maxNinstance)) ; constitutive_dislobased_C11 = 0.0_pReal + allocate(constitutive_dislobased_C12(maxNinstance)) ; constitutive_dislobased_C12 = 0.0_pReal + allocate(constitutive_dislobased_C13(maxNinstance)) ; constitutive_dislobased_C13 = 0.0_pReal + allocate(constitutive_dislobased_C33(maxNinstance)) ; constitutive_dislobased_C33 = 0.0_pReal + allocate(constitutive_dislobased_C44(maxNinstance)) ; constitutive_dislobased_C44 = 0.0_pReal + allocate(constitutive_dislobased_Gmod(maxNinstance)) ; constitutive_dislobased_Gmod = 0.0_pReal + allocate(constitutive_dislobased_Cslip_66(6,6,maxNinstance)) ; constitutive_dislobased_Cslip_66 = 0.0_pReal + allocate(constitutive_dislobased_Cslip_3333(3,3,3,3,maxNinstance)) ; constitutive_dislobased_Ctwin_3333 = 0.0_pReal + allocate(constitutive_dislobased_rho0(maxNinstance)) ; constitutive_dislobased_rho0 = 0.0_pReal + allocate(constitutive_dislobased_bg(maxNinstance)) ; constitutive_dislobased_bg = 0.0_pReal + allocate(constitutive_dislobased_Qedge(maxNinstance)) ; constitutive_dislobased_Qedge = 0.0_pReal + allocate(constitutive_dislobased_grainsize(maxNinstance)) ; constitutive_dislobased_grainsize = 0.0_pReal + allocate(constitutive_dislobased_stacksize(maxNinstance)) ; constitutive_dislobased_stacksize = 0.0_pReal + allocate(constitutive_dislobased_fmax(maxNinstance)) ; constitutive_dislobased_fmax = 0.0_pReal + allocate(constitutive_dislobased_Ndot0(maxNinstance)) ; constitutive_dislobased_Ndot0 = 0.0_pReal + allocate(constitutive_dislobased_Cmfpslip(maxNinstance)) ; constitutive_dislobased_Cmfpslip = 0.0_pReal + allocate(constitutive_dislobased_Cmfptwin(maxNinstance)) ; constitutive_dislobased_Cmfptwin = 0.0_pReal + allocate(constitutive_dislobased_Cthresholdslip(maxNinstance)) ; constitutive_dislobased_Cthresholdslip = 0.0_pReal + allocate(constitutive_dislobased_Cthresholdtwin(maxNinstance)) ; constitutive_dislobased_Cthresholdtwin = 0.0_pReal + allocate(constitutive_dislobased_Cactivolume(maxNinstance)) ; constitutive_dislobased_Cactivolume = 0.0_pReal + allocate(constitutive_dislobased_Cstorage(maxNinstance)) ; constitutive_dislobased_Cstorage = 0.0_pReal + allocate(constitutive_dislobased_Carecovery(maxNinstance)) ; constitutive_dislobased_Carecovery = 0.0_pReal + allocate(constitutive_dislobased_CoverA(maxNinstance)) ; constitutive_dislobased_CoverA = 0.0_pReal + allocate(constitutive_dislobased_SlipIntCoeff(6,maxNinstance)) ; constitutive_dislobased_SlipIntCoeff = 0.0_pReal + allocate(constitutive_dislobased_output(maxval(phase_Noutput),maxNinstance)) ; constitutive_dislobased_output = '' rewind(file) line = '' @@ -179,6 +157,8 @@ subroutine constitutive_dislobased_init(file) constitutive_dislobased_CoverA(i) = IO_floatValue(line,positions,2) case ('nslip') constitutive_dislobased_Nslip(i) = IO_intValue(line,positions,2) + case ('ntwin') + constitutive_dislobased_Ntwin(i) = IO_intValue(line,positions,2) case ('c11') constitutive_dislobased_C11(i) = IO_floatValue(line,positions,2) case ('c12') @@ -195,26 +175,28 @@ subroutine constitutive_dislobased_init(file) constitutive_dislobased_bg(i) = IO_floatValue(line,positions,2) case ('qedge') constitutive_dislobased_Qedge(i) = IO_floatValue(line,positions,2) - case ('qsd') - constitutive_dislobased_Qsd(i) = IO_floatValue(line,positions,2) - case ('diff0') - constitutive_dislobased_D0(i) = IO_floatValue(line,positions,2) - case ('c1') - constitutive_dislobased_c1(i) = IO_floatValue(line,positions,2) - case ('c2') - constitutive_dislobased_c2(i) = IO_floatValue(line,positions,2) - case ('c3') - constitutive_dislobased_c3(i) = IO_floatValue(line,positions,2) - case ('c4') - constitutive_dislobased_c4(i) = IO_floatValue(line,positions,2) - case ('c5') - constitutive_dislobased_c5(i) = IO_floatValue(line,positions,2) - case ('c6') - constitutive_dislobased_c6(i) = IO_floatValue(line,positions,2) - case ('c7') - constitutive_dislobased_c7(i) = IO_floatValue(line,positions,2) - case ('c8') - constitutive_dislobased_c8(i) = IO_floatValue(line,positions,2) + case ('grainsize') + constitutive_dislobased_grainsize(i) = IO_floatValue(line,positions,2) + case ('stacksize') + constitutive_dislobased_stacksize(i) = IO_floatValue(line,positions,2) + case ('fmax') + constitutive_dislobased_fmax(i) = IO_floatValue(line,positions,2) + case ('ndot0') + constitutive_dislobased_Ndot0(i) = IO_floatValue(line,positions,2) + case ('cmfpslip') + constitutive_dislobased_Cmfpslip(i) = IO_floatValue(line,positions,2) + case ('cmfptwin') + constitutive_dislobased_Cmfptwin(i) = IO_floatValue(line,positions,2) + case ('cthresholdslip') + constitutive_dislobased_Cthresholdslip(i) = IO_floatValue(line,positions,2) + case ('cthresholdtwin') + constitutive_dislobased_Cthresholdtwin(i) = IO_floatValue(line,positions,2) + case ('cactivolume') + constitutive_dislobased_Cactivolume(i) = IO_floatValue(line,positions,2) + case ('cstorage') + constitutive_dislobased_Cstorage(i) = IO_floatValue(line,positions,2) + case ('carecovery') + constitutive_dislobased_Carecovery(i) = IO_floatValue(line,positions,2) case ('interaction_coefficients') forall (j=2:min(7,positions(1))) & constitutive_dislobased_SlipIntCoeff(j-1,i) = IO_floatValue(line,positions,j) @@ -232,30 +214,39 @@ subroutine constitutive_dislobased_init(file) if (constitutive_dislobased_rho0(i) < 0.0_pReal) call IO_error(220) if (constitutive_dislobased_bg(i) <= 0.0_pReal) call IO_error(221) if (constitutive_dislobased_Qedge(i) <= 0.0_pReal) call IO_error(222) - if (constitutive_dislobased_Qsd(i) <= 0.0_pReal) call IO_error(223) - if (constitutive_dislobased_D0(i) <= 0.0_pReal) call IO_error(224) enddo - allocate(constitutive_dislobased_Iparallel(maxval(constitutive_dislobased_Nslip),& - maxval(constitutive_dislobased_Nslip),& - maxNinstance)) + allocate(constitutive_dislobased_Iparallel(maxval(constitutive_dislobased_Nslip),maxval(constitutive_dislobased_Nslip),maxNinstance)) + constitutive_dislobased_Iparallel = 0.0_pReal + allocate(constitutive_dislobased_Iforest(maxval(constitutive_dislobased_Nslip),maxval(constitutive_dislobased_Nslip),maxNinstance)) + constitutive_dislobased_Iforest = 0.0_pReal + allocate(constitutive_dislobased_Ctwin_66(6,6,maxval(constitutive_dislobased_Ntwin),maxNinstance)) + constitutive_dislobased_Ctwin_66 = 0.0_pReal + allocate(constitutive_dislobased_Ctwin_3333(3,3,3,3,maxval(constitutive_dislobased_Ntwin),maxNinstance)) + constitutive_dislobased_Ctwin_3333 = 0.0_pReal - allocate(constitutive_dislobased_Iforest(maxval(constitutive_dislobased_Nslip),& - maxval(constitutive_dislobased_Nslip),& - maxNinstance)) - - do i = 1,maxNinstance - constitutive_dislobased_sizeDotState(i) = constitutive_dislobased_Nslip(i) - constitutive_dislobased_sizeState(i) = 8*constitutive_dislobased_Nslip(i) + do i = 1,maxNinstance + constitutive_dislobased_sizeDotState(i) = constitutive_dislobased_Nslip(i)+constitutive_dislobased_Ntwin(i) + constitutive_dislobased_sizeState(i) = 10*constitutive_dislobased_Nslip(i)+5*constitutive_dislobased_Ntwin(i) do j = 1,maxval(phase_Noutput) select case(constitutive_dislobased_output(j,i)) - case('dislodensity') - constitutive_dislobased_sizePostResults(i) = & - constitutive_dislobased_sizePostResults(i) + constitutive_dislobased_Nslip(i) - case('rateofshear') - constitutive_dislobased_sizePostResults(i) = & - constitutive_dislobased_sizePostResults(i) + constitutive_dislobased_Nslip(i) + case('state_slip') + constitutive_dislobased_sizePostResults(i) = constitutive_dislobased_sizePostResults(i) + constitutive_dislobased_Nslip(i) + case('rateofshear_slip') + constitutive_dislobased_sizePostResults(i) = constitutive_dislobased_sizePostResults(i) + constitutive_dislobased_Nslip(i) + case('mfp_slip') + constitutive_dislobased_sizePostResults(i) = constitutive_dislobased_sizePostResults(i) + constitutive_dislobased_Nslip(i) + case('thresholdstress_slip') + constitutive_dislobased_sizePostResults(i) = constitutive_dislobased_sizePostResults(i) + constitutive_dislobased_Nslip(i) + case('state_twin') + constitutive_dislobased_sizePostResults(i) = constitutive_dislobased_sizePostResults(i) + constitutive_dislobased_Ntwin(i) + case('rateofshear_twin') + constitutive_dislobased_sizePostResults(i) = constitutive_dislobased_sizePostResults(i) + constitutive_dislobased_Ntwin(i) + case('mfp_twin') + constitutive_dislobased_sizePostResults(i) = constitutive_dislobased_sizePostResults(i) + constitutive_dislobased_Ntwin(i) + case('thresholdstress_twin') + constitutive_dislobased_sizePostResults(i) = constitutive_dislobased_sizePostResults(i) + constitutive_dislobased_Ntwin(i) end select enddo @@ -283,9 +274,33 @@ subroutine constitutive_dislobased_init(file) constitutive_dislobased_Cslip_66(6,6,i) = 0.5_pReal*(constitutive_dislobased_C11(i)- & constitutive_dislobased_C12(i)) end select - constitutive_dislobased_Cslip_66(:,:,i) = & - math_Mandel3333to66(math_Voigt66to3333(constitutive_dislobased_Cslip_66(:,:,i))) - + constitutive_dislobased_Cslip_66(:,:,i) = math_Mandel3333to66(math_Voigt66to3333(constitutive_dislobased_Cslip_66(:,:,i))) + + !* Construction of the twin elasticity matrices + !* Iteration over the systems + constitutive_dislobased_Cslip_3333(:,:,:,:,i) = math_Voigt66to3333(constitutive_dislobased_Cslip_66(:,:,i)) + do j=1,constitutive_dislobased_Ntwin(i) + do k=1,3 + do l=1,3 + do m=1,3 + do n=1,3 + do p=1,3 + do q=1,3 + do r=1,3 + do s=1,3 + constitutive_dislobased_Ctwin_3333(k,l,m,n,j,i) = constitutive_dislobased_Ctwin_3333(k,l,m,n,j,i) + & + constitutive_dislobased_Cslip_3333(p,q,r,s,i)*& + lattice_Qtwin(k,p,j,i)*lattice_Qtwin(l,q,j,i)*lattice_Qtwin(m,r,j,i)*lattice_Qtwin(n,s,j,i) + enddo + enddo + enddo + enddo + enddo + enddo + enddo + enddo + constitutive_dislobased_Ctwin_66(:,:,j,i) = math_Mandel3333to66(constitutive_dislobased_Ctwin_3333(:,:,:,:,j,i)) + enddo !* Construction of the hardening matrices !* Iteration over the systems @@ -306,7 +321,6 @@ subroutine constitutive_dislobased_init(file) enddo return - end subroutine @@ -317,108 +331,193 @@ function constitutive_dislobased_stateInit(myInstance) use prec, only: pReal,pInt implicit none -!* Definition of variables + !* Definition of variables integer(pInt), intent(in) :: myInstance - real(pReal), dimension(constitutive_dislobased_Nslip(myInstance)) :: constitutive_dislobased_stateInit - - constitutive_dislobased_stateInit = constitutive_dislobased_rho0(myInstance) + real(pReal), dimension(constitutive_dislobased_sizeState(myInstance)) :: constitutive_dislobased_stateInit + + constitutive_dislobased_stateInit = 0.0_pReal + constitutive_dislobased_stateInit(1:constitutive_dislobased_Nslip(myInstance)) = constitutive_dislobased_rho0(myInstance) return end function + function constitutive_dislobased_homogenizedC(state,ipc,ip,el) !********************************************************************* -!* homogenized elacticity matrix * -!* INPUT: * -!* - state : state variables * +!* calculates homogenized elacticity matrix * +!* - state : microstructure quantities * !* - ipc : component-ID of current integration point * !* - ip : current integration point * !* - el : current element * !********************************************************************* - use prec, only: pReal,pInt,p_vec - use mesh, only: mesh_NcpElems,mesh_maxNips + use prec, only: pReal,pInt,p_vec + use mesh, only: mesh_NcpElems,mesh_maxNips use material, only: homogenization_maxNgrains,material_phase, phase_constitutionInstance implicit none -!* Definition of variables + !* Definition of variables integer(pInt), intent(in) :: ipc,ip,el - integer(pInt) matID + integer(pInt) matID,ns,nt,i + real(pReal) sumf real(pReal), dimension(6,6) :: constitutive_dislobased_homogenizedC type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems) :: state + !* Shortened notation matID = phase_constitutionInstance(material_phase(ipc,ip,el)) - constitutive_dislobased_homogenizedC = constitutive_dislobased_Cslip_66(:,:,matID) + ns = constitutive_dislobased_Nslip(matID) + nt = constitutive_dislobased_Ntwin(matID) + + !* Total twin volume fraction + sumf = 0.0_pReal + if (nt > 0_pInt) sumf = sum(state(ipc,ip,el)%p((ns+1):(ns+nt))) + + !* Homogenized elasticity matrix + constitutive_dislobased_homogenizedC = (1.0_pReal-sumf)*constitutive_dislobased_Cslip_66(:,:,matID) + do i=1,nt + constitutive_dislobased_homogenizedC = constitutive_dislobased_homogenizedC + & + state(ipc,ip,el)%p(ns+i)*constitutive_dislobased_Ctwin_66(:,:,i,matID) + enddo return - end function subroutine constitutive_dislobased_microstructure(Temperature,state,ipc,ip,el) !********************************************************************* -!* calculate derived quantities from state (not used here) * -!* INPUT: * -!* - Tp : temperature * +!* calculates quantities characterizing the microstructure * +!* - Temperature : temperature * +!* - state : microstructure quantities * !* - ipc : component-ID of current integration point * !* - ip : current integration point * !* - el : current element * !********************************************************************* - use prec, only: pReal,pInt,p_vec - use mesh, only: mesh_NcpElems,mesh_maxNips - use material, only: homogenization_maxNgrains,material_phase, phase_constitutionInstance + use prec, only: pReal,pInt,p_vec + use math, only: pi + use mesh, only: mesh_NcpElems,mesh_maxNips + use material, only: homogenization_maxNgrains,material_phase,phase_constitutionInstance + use lattice, only: lattice_interactionSlipTwin,lattice_interactionTwinTwin implicit none -!* Definition of variables - integer(pInt) ipc,ip,el,matID,n,i - real(pReal) Temperature + !* Definition of variables + integer(pInt), intent(in) :: ipc,ip,el + integer(pInt) matID,ns,nt,i + real(pReal) Temperature,sumf type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems) :: state + !* Shortened notation matID = phase_constitutionInstance(material_phase(ipc,ip,el)) - n = constitutive_dislobased_Nslip(matID) - !* Quantities derived from state - slip - !* State: 1 : n rho - !* n+1 : 2n rho_f - !* 2n+1 : 3n rho_p - !* 3n+1 : 4n passing stress - !* 4n+1 : 5n jump width - !* 5n+1 : 6n activation volume - !* 6n+1 : 7n rho_m - !* 7n+1 : 8n g0_slip + ns = constitutive_dislobased_Nslip(matID) + nt = constitutive_dislobased_Ntwin(matID) + !* State: 1 : ns rho_ssd + !* State: ns+1 : ns+nt f + !* State: ns+nt+1 : 2*ns+nt rho_forest + !* State: 2*ns+nt+1 : 3*ns+nt rho_parallel + !* State: 3*ns+nt+1 : 4*ns+nt 1/lambda_slip + !* State: 4*ns+nt+1 : 5*ns+nt 1/lambda_sliptwin + !* State: 5*ns+nt+1 : 5*ns+2*nt 1/lambda_twin + !* State: 5*ns+2*nt+1 : 6*ns+2*nt mfp_slip + !* State: 6*ns+2*nt+1 : 6*ns+3*nt mfp_twin + !* State: 6*ns+3*nt+1 : 7*ns+3*nt threshold_stress_slip + !* State: 7*ns+3*nt+1 : 7*ns+4*nt threshold_stress_twin + !* State: 7*ns+4*nt+1 : 8*ns+4*nt activation volume + !* State: 8*ns+4*nt+1 : 8*ns+5*nt twin volume + !* State: 8*ns+5*nt+1 : 9*ns+5*nt rho_mobile + !* State: 9*ns+5*nt+1 : 10*ns+5*nt initial shear rate + + !* Total twin volume fraction + sumf = 0.0_pReal + if (nt > 0_pInt) sumf = sum(state(ipc,ip,el)%p((ns+1):(ns+nt))) + + !* Forest and parallel dislocation densities !$OMP CRITICAL (evilmatmul) - state(ipc,ip,el)%p((n+1):(2*n)) = matmul(constitutive_dislobased_Iforest (1:n,1:n,matID),state(ipc,ip,el)%p(1:n)) - state(ipc,ip,el)%p((2*n+1):(3*n)) = matmul(constitutive_dislobased_Iparallel(1:n,1:n,matID),state(ipc,ip,el)%p(1:n)) + state(ipc,ip,el)%p((ns+nt+1):(2*ns+nt)) = matmul(constitutive_dislobased_Iforest (1:ns,1:ns,matID),state(ipc,ip,el)%p(1:ns)) + state(ipc,ip,el)%p((2*ns+nt+1):(3*ns+nt)) = matmul(constitutive_dislobased_Iparallel(1:ns,1:ns,matID),state(ipc,ip,el)%p(1:ns)) + !$OMP END CRITICAL (evilmatmul) + + !* 1/mean free distance between 2 forest dislocations seen by a moving dislocation + do i=1,ns + state(ipc,ip,el)%p(3*ns+nt+i) = sqrt(state(ipc,ip,el)%p(ns+nt+i)) + enddo + + !* 1/mean free distance between 2 twin stacks from different systems seen by a moving dislocation + !$OMP CRITICAL (evilmatmul) + state(ipc,ip,el)%p((4*ns+nt+1):(5*ns+nt)) = 0.0_pReal + if (nt > 0_pInt) state(ipc,ip,el)%p((4*ns+nt+1):(5*ns+nt)) = & + matmul(lattice_interactionSlipTwin(1:ns,1:nt,constitutive_dislobased_structure(matID)),state(ipc,ip,el)%p((ns+1):(ns+nt)))/& + (2.0_pReal*constitutive_dislobased_stacksize(matID)*(1.0_pReal-sumf)) !$OMP END CRITICAL (evilmatmul) - do i=1,n - - state(ipc,ip,el)%p(3*n+i) = & - constitutive_dislobased_c1(matID)*constitutive_dislobased_Gmod(matID)*& - constitutive_dislobased_bg(matID)*sqrt(state(ipc,ip,el)%p(2*n+i)) - - state(ipc,ip,el)%p(4*n+i) = & - constitutive_dislobased_c2(matID)/sqrt(state(ipc,ip,el)%p(n+i)) - - state(ipc,ip,el)%p(5*n+i) = & - constitutive_dislobased_c3(matID)*state(ipc,ip,el)%p(4*n+i)*constitutive_dislobased_bg(matID)**2.0_pReal - - state(ipc,ip,el)%p(6*n+i) = & - (2.0_pReal*kB*Temperature)/(constitutive_dislobased_c1(matID)*constitutive_dislobased_c2(matID)*& - constitutive_dislobased_c3(matID)*constitutive_dislobased_Gmod(matID)*constitutive_dislobased_bg(matID)**3.0_pReal)*& - sqrt(state(ipc,ip,el)%p(n+i)*state(ipc,ip,el)%p(2*n+i)) - - state(ipc,ip,el)%p(7*n+i) = & - state(ipc,ip,el)%p(6*n+i)*constitutive_dislobased_bg(matID)*attack_frequency*state(ipc,ip,el)%p(4*n+i)*& - exp(-constitutive_dislobased_Qedge(matID)/(kB*Temperature)) + !* 1/mean free distance between 2 twin stacks from different systems seen by a growing twin + !$OMP CRITICAL (evilmatmul) + if (nt > 0_pInt) state(ipc,ip,el)%p((5*ns+nt+1):(5*ns+2*nt)) = & + matmul(lattice_interactionTwinTwin(1:nt,1:nt,constitutive_dislobased_structure(matID)),state(ipc,ip,el)%p((ns+1):(ns+nt)))/& + (2.0_pReal*constitutive_dislobased_stacksize(matID)*(1.0_pReal-sumf)) + !$OMP END CRITICAL (evilmatmul) + !* mean free path between 2 obstacles seen by a moving dislocation + do i=1,ns + if (nt > 0_pInt) then + state(ipc,ip,el)%p(5*ns+2*nt+i) = (constitutive_dislobased_Cmfpslip(matID)*constitutive_dislobased_grainsize(matID))/& + (1.0_pReal+constitutive_dislobased_grainsize(matID)*& + (state(ipc,ip,el)%p(3*ns+nt+i)+state(ipc,ip,el)%p(4*ns+nt+i))) + else + state(ipc,ip,el)%p(5*ns+i) = (constitutive_dislobased_Cmfpslip(matID)*constitutive_dislobased_grainsize(matID))/& + (1.0_pReal+constitutive_dislobased_grainsize(matID)*(state(ipc,ip,el)%p(3*ns+i))) + endif enddo + !* mean free path between 2 obstacles seen by a growing twin + do i=1,nt + state(ipc,ip,el)%p(6*ns+2*nt+i) = (constitutive_dislobased_Cmfptwin(matID)*constitutive_dislobased_grainsize(matID))/& + (1.0_pReal+constitutive_dislobased_grainsize(matID)*state(ipc,ip,el)%p(5*ns+nt+i)) + enddo + + !* threshold stress for dislocation motion + do i=1,ns + state(ipc,ip,el)%p(6*ns+3*nt+i) = constitutive_dislobased_Cthresholdslip(matID)*& + constitutive_dislobased_bg(matID)*constitutive_dislobased_Gmod(matID)*sqrt(state(ipc,ip,el)%p(2*ns+nt+i)) + enddo + + !* threshold stress for growing twin + do i=1,nt + state(ipc,ip,el)%p(7*ns+3*nt+i) = constitutive_dislobased_Cthresholdtwin(matID)*(sqrt(3.0_pReal)/3.0_pReal)*(& + (0.0002_pReal*Temperature-0.0396_pReal)/constitutive_dislobased_bg(matID)+& + (constitutive_dislobased_bg(matID)*constitutive_dislobased_Gmod(matID))/state(ipc,ip,el)%p(5*ns+2*nt+i)) + enddo + + !* activation volume for dislocation glide + do i=1,ns + state(ipc,ip,el)%p(7*ns+4*nt+i) = constitutive_dislobased_Cactivolume(matID)*& + constitutive_dislobased_bg(matID)*constitutive_dislobased_bg(matID)*state(ipc,ip,el)%p(5*ns+2*nt+i) + enddo + + !* final twin volume after growth + do i=1,nt + state(ipc,ip,el)%p(8*ns+4*nt+i) = (pi/6.0_pReal)*constitutive_dislobased_stacksize(matID)*& + state(ipc,ip,el)%p(6*ns+2*nt+i)*state(ipc,ip,el)%p(6*ns+2*nt+i) + enddo + + !* mobile dislocation densities + do i=1,ns + state(ipc,ip,el)%p(8*ns+5*nt+i) = (2.0_pReal*kB*Temperature*state(ipc,ip,el)%p(2*ns+nt+i))/& + (state(ipc,ip,el)%p(6*ns+3*nt+i)*state(ipc,ip,el)%p(7*ns+4*nt+i)) + enddo + + !* initial shear rate for slip + do i=1,ns + state(ipc,ip,el)%p(9*ns+5*nt+i) = state(ipc,ip,el)%p(8*ns+5*nt+i)*constitutive_dislobased_bg(matID)*attack_frequency*& + state(ipc,ip,el)%p(5*ns+2*nt+i)*exp(-constitutive_dislobased_Qedge(matID)/(kB*Temperature)) + enddo + end subroutine subroutine constitutive_dislobased_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Temperature,state,ipc,ip,el) !********************************************************************* -!* plastic velocity gradient and its tangent * +!* calculates plastic velocity gradient and its tangent * !* INPUT: * +!* - Temperature : temperature * +!* - state : microstructure quantities * !* - Tstar_v : 2nd Piola Kirchhoff stress tensor (Mandel) * !* - ipc : component-ID at current integration point * !* - ip : current integration point * @@ -427,18 +526,17 @@ subroutine constitutive_dislobased_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Tempera !* - Lp : plastic velocity gradient * !* - dLp_dTstar : derivative of Lp (4th-rank tensor) * !********************************************************************* - use prec, only: pReal,pInt,p_vec - use math, only: math_Plain3333to99 - use lattice, only: lattice_Sslip,lattice_Sslip_v - use mesh, only: mesh_NcpElems,mesh_maxNips + use prec, only: pReal,pInt,p_vec + use math, only: math_Plain3333to99 + use mesh, only: mesh_NcpElems,mesh_maxNips use material, only: homogenization_maxNgrains,material_phase, phase_constitutionInstance - + use lattice, only: lattice_Sslip,lattice_Stwin,lattice_Sslip_v,lattice_Stwin_v,lattice_shearTwin implicit none -!* Definition of variables + !* Definition of variables integer(pInt) ipc,ip,el - integer(pInt) matID,i,k,l,m,n - real(pReal) Temperature + integer(pInt) matID,i,k,l,m,n,ns,nt + real(pReal) Temperature,sumf type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems) :: state real(pReal), dimension(6) :: Tstar_v real(pReal), dimension(3,3) :: Lp @@ -446,37 +544,71 @@ subroutine constitutive_dislobased_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Tempera real(pReal), dimension(9,9) :: dLp_dTstar real(pReal), dimension(constitutive_dislobased_Nslip(phase_constitutionInstance(material_phase(ipc,ip,el)))) :: & gdot_slip,dgdot_dtauslip,tau_slip + real(pReal), dimension(constitutive_dislobased_Ntwin(phase_constitutionInstance(material_phase(ipc,ip,el)))) :: & + gdot_twin,dgdot_dtautwin,tau_twin + !* Shortened notation matID = phase_constitutionInstance(material_phase(ipc,ip,el)) - n = constitutive_dislobased_Nslip(matID) + ns = constitutive_dislobased_Nslip(matID) + nt = constitutive_dislobased_Ntwin(matID) -!* Calculation of Lp + !* Total twin volume fraction + sumf = 0.0_pReal + if (nt > 0_pInt) sumf = sum(state(ipc,ip,el)%p((ns+1):(ns+nt))) + + !* Calculation of Lp from dislocation glide Lp = 0.0_pReal gdot_slip = 0.0_pReal - do i = 1,constitutive_dislobased_Nslip(matID) - tau_slip(i) = dot_product(Tstar_v,lattice_Sslip_v(:,i,constitutive_dislobased_structure(matID))) + do i = 1,ns + tau_slip(i) = dot_product(Tstar_v,lattice_Sslip_v(:,i,constitutive_dislobased_structure(matID))) - if (abs(tau_slip(i))-state(ipc,ip,el)%p(3*n+i)>0) & - gdot_slip(i) = state(ipc,ip,el)%p(7*n+i)*sign(1.0_pReal,tau_slip(i))*& - sinh(((abs(tau_slip(i))-state(ipc,ip,el)%p(3*n+i))*state(ipc,ip,el)%p(5*n+i))/(kB*Temperature) ) + if ( abs(tau_slip(i)) > state(ipc,ip,el)%p(6*ns+3*nt+i) ) & + gdot_slip(i) = state(ipc,ip,el)%p(9*ns+5*nt+i)*sign(1.0_pReal,tau_slip(i))*& + sinh(((abs(tau_slip(i))-state(ipc,ip,el)%p(6*ns+3*nt+i))*state(ipc,ip,el)%p(7*ns+4*nt+i))/(kB*Temperature)) - Lp = Lp + gdot_slip(i)*lattice_Sslip(:,:,i,constitutive_dislobased_structure(matID)) + Lp = Lp + (1.0_pReal - sumf)*gdot_slip(i)*lattice_Sslip(:,:,i,constitutive_dislobased_structure(matID)) enddo -!* Calculation of the tangent of Lp + !* Calculation of Lp from deformation twinning + gdot_twin = 0.0_pReal + do i = 1,nt + tau_twin(i) = dot_product(Tstar_v,lattice_Stwin_v(:,i,constitutive_dislobased_structure(matID))) + + if ( tau_twin(i) > 0.0_pReal ) & + gdot_twin(i) = (constitutive_dislobased_fmax(matID) - sumf)*lattice_shearTwin(i,constitutive_dislobased_structure(matID))*& + state(ipc,ip,el)%p(8*ns+4*nt+i)*constitutive_dislobased_Ndot0(matID)*& + exp(-(state(ipc,ip,el)%p(7*ns+3*nt+i)/tau_twin(i))**10.0_pReal) + + Lp = Lp + gdot_twin(i)*lattice_Stwin(:,:,i,constitutive_dislobased_structure(matID)) + enddo + + !* Calculation of the tangent of Lp from dislocation glide dLp_dTstar3333 = 0.0_pReal dLp_dTstar = 0.0_pReal dgdot_dtauslip = 0.0_pReal - do i = 1,constitutive_dislobased_Nslip(matID) + do i = 1,ns - if ((abs(tau_slip(i))-state(ipc,ip,el)%p(3*n+i))>0) & - dgdot_dtauslip(i) = (state(ipc,ip,el)%p(7*n+i)*state(ipc,ip,el)%p(5*n+i))/(kB*Temperature)*& - cosh(((abs(tau_slip(i))-state(ipc,ip,el)%p(3*n+i))*state(ipc,ip,el)%p(5*n+i))/(kB*Temperature)) + if ( abs(tau_slip(i)) > state(ipc,ip,el)%p(6*ns+3*nt+i) ) & + dgdot_dtauslip(i) = (state(ipc,ip,el)%p(9*ns+5*nt+i)*state(ipc,ip,el)%p(7*ns+4*nt+i))/(kB*Temperature)*& + cosh(((abs(tau_slip(i))-state(ipc,ip,el)%p(6*ns+3*nt+i))*state(ipc,ip,el)%p(7*ns+4*nt+i))/(kB*Temperature)) - forall (k=1:3,l=1:3,m=1:3,n=1:3) & - dLp_dTstar3333(k,l,m,n) = dLp_dTstar3333(k,l,m,n) + & - dgdot_dtauslip(i)*lattice_Sslip(k,l,i,constitutive_dislobased_structure(matID))* & - lattice_Sslip(m,n,i,constitutive_dislobased_structure(matID)) + forall (k=1:3,l=1:3,m=1:3,n=1:3) & + dLp_dTstar3333(k,l,m,n) = dLp_dTstar3333(k,l,m,n) + & + dgdot_dtauslip(i)*lattice_Sslip(k,l,i,constitutive_dislobased_structure(matID))& + *lattice_Sslip(m,n,i,constitutive_dislobased_structure(matID)) + enddo + + !* Calculation of the tangent of Lp from deformation twinning + dgdot_dtautwin = 0.0_pReal + do i = 1,nt + + if ( tau_twin(i) > 0.0_pReal ) & + dgdot_dtautwin(i) = (gdot_twin(i)*10.0_pReal*state(ipc,ip,el)%p(7*ns+3*nt+i)**10.0_pReal)/(tau_twin(i)**11.0_pReal) + + forall (k=1:3,l=1:3,m=1:3,n=1:3) & + dLp_dTstar3333(k,l,m,n) = dLp_dTstar3333(k,l,m,n) + & + dgdot_dtautwin(i)*lattice_Stwin(k,l,i,constitutive_dislobased_structure(matID)) & + *lattice_Stwin(m,n,i,constitutive_dislobased_structure(matID)) enddo dLp_dTstar = math_Plain3333to99(dLp_dTstar3333) @@ -488,6 +620,8 @@ function constitutive_dislobased_dotState(Tstar_v,Temperature,state,ipc,ip,el) !********************************************************************* !* rate of change of microstructure * !* INPUT: * +!* - Temperature : temperature * +!* - state : microstructure quantities * !* - Tstar_v : 2nd Piola Kirchhoff stress tensor (Mandel) * !* - ipc : component-ID at current integration point * !* - ip : current integration point * @@ -495,43 +629,61 @@ function constitutive_dislobased_dotState(Tstar_v,Temperature,state,ipc,ip,el) !* OUTPUT: * !* - constitutive_dotState : evolution of state variable * !********************************************************************* - use prec, only: pReal,pInt,p_vec - use lattice, only: lattice_Sslip_v - use mesh, only: mesh_NcpElems,mesh_maxNips + use prec, only: pReal,pInt,p_vec + use mesh, only: mesh_NcpElems,mesh_maxNips use material, only: homogenization_maxNgrains,material_phase, phase_constitutionInstance + use lattice, only: lattice_Sslip_v,lattice_Stwin_v implicit none !* Definition of variables integer(pInt) ipc,ip,el - integer(pInt) matID,i,n - real(pReal) Temperature,tau_slip,gdot_slip,locks,athermal_recovery,thermal_recovery + integer(pInt) matID,i,ns,nt + real(pReal) Temperature,sumf,tau_slip,tau_twin,gdot_slip,gdot_twin,storage,arecovery type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems) :: state real(pReal), dimension(6) :: Tstar_v - real(pReal), dimension(constitutive_dislobased_Nslip(phase_constitutionInstance(material_phase(ipc,ip,el)))) :: & + real(pReal), dimension(constitutive_dislobased_sizeDotState(phase_constitutionInstance(material_phase(ipc,ip,el)))) :: & constitutive_dislobased_dotState - + + !* Shortened notation matID = phase_constitutionInstance(material_phase(ipc,ip,el)) - n = constitutive_dislobased_Nslip(matID) + ns = constitutive_dislobased_Nslip(matID) + nt = constitutive_dislobased_Ntwin(matID) -!* Dislocation density evolution + !* Total twin volume fraction + sumf = 0.0_pReal + if (nt > 0_pInt) sumf = sum(state(ipc,ip,el)%p((ns+1):(ns+nt))) + + !* Dislocation density evolution constitutive_dislobased_dotState = 0.0_pReal - do i = 1,n + do i = 1,ns tau_slip = dot_product(Tstar_v,lattice_Sslip_v(:,i,constitutive_dislobased_structure(matID))) - if (abs(tau_slip) > state(ipc,ip,el)%p(3*n+i)) then - gdot_slip = state(ipc,ip,el)%p(7*n+i)*sign(1.0_pReal,tau_slip)*& - sinh(((abs(tau_slip)-state(ipc,ip,el)%p(3*n+i))*state(ipc,ip,el)%p(5*n+i))/(kB*Temperature)) + if ( abs(tau_slip) > state(ipc,ip,el)%p(6*ns+3*nt+i) ) then + gdot_slip = state(ipc,ip,el)%p(9*ns+5*nt+i)*sign(1.0_pReal,tau_slip)*& + sinh(((abs(tau_slip)-state(ipc,ip,el)%p(6*ns+3*nt+i))*state(ipc,ip,el)%p(7*ns+4*nt+i))/(kB*Temperature) ) - locks = (sqrt(state(ipc,ip,el)%p(n+i))*abs(gdot_slip))/& - (constitutive_dislobased_c4(matID)*constitutive_dislobased_bg(matID)) + storage = (constitutive_dislobased_Cstorage(matID)*abs(gdot_slip))/& + (constitutive_dislobased_bg(matID)*state(ipc,ip,el)%p(5*ns+2*nt+i)) - athermal_recovery = constitutive_dislobased_c7(matID)*state(ipc,ip,el)%p(i)*abs(gdot_slip) + arecovery = constitutive_dislobased_Carecovery(matID)*state(ipc,ip,el)%p(i)*abs(gdot_slip) - constitutive_dislobased_dotState(i) = locks - athermal_recovery + constitutive_dislobased_dotState(i) = storage - arecovery endif enddo + !* Twin volume fraction evolution + do i = 1,nt + + tau_twin = dot_product(Tstar_v,lattice_Stwin_v(:,i,constitutive_dislobased_structure(matID))) + + if ( tau_twin > 0.0_pReal ) & + constitutive_dislobased_dotState(ns+i) = (constitutive_dislobased_fmax(matID) - sumf)*& + state(ipc,ip,el)%p(8*ns+4*nt+i)*constitutive_dislobased_Ndot0(matID)*& + exp(-(state(ipc,ip,el)%p(7*ns+3*nt+i)/tau_twin)**10.0_pReal) + + enddo + return end function @@ -547,9 +699,9 @@ function constitutive_dislobased_dotTemperature(Tstar_v,Temperature,state,ipc,ip !* OUTPUT: * !* - constitutive_dotTemperature : evolution of Temperature * !********************************************************************* - use prec, only: pReal,pInt,p_vec - use lattice, only: lattice_Sslip_v - use mesh, only: mesh_NcpElems,mesh_maxNips + use prec, only: pReal,pInt,p_vec + use lattice, only: lattice_Sslip_v + use mesh, only: mesh_NcpElems,mesh_maxNips use material, only: homogenization_maxNgrains,material_phase, phase_constitutionInstance implicit none @@ -577,9 +729,9 @@ pure function constitutive_dislobased_postResults(Tstar_v,Temperature,dt,state,i !* - ip : current integration point * !* - el : current element * !********************************************************************* - use prec, only: pReal,pInt,p_vec - use lattice, only: lattice_Sslip_v - use mesh, only: mesh_NcpElems,mesh_maxNips + use prec, only: pReal,pInt,p_vec + use lattice, only: lattice_Sslip_v,lattice_Stwin_v,lattice_shearTwin + use mesh, only: mesh_NcpElems,mesh_maxNips use material, only: homogenization_maxNgrains,material_phase,phase_constitutionInstance,phase_Noutput implicit none @@ -588,40 +740,85 @@ pure function constitutive_dislobased_postResults(Tstar_v,Temperature,dt,state,i real(pReal), intent(in) :: dt,Temperature real(pReal), dimension(6), intent(in) :: Tstar_v type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: state - integer(pInt) matID,o,i,c,n - real(pReal) tau_slip + integer(pInt) matID,o,i,c,ns,nt + real(pReal) sumf,tau_slip,tau_twin real(pReal), dimension(constitutive_dislobased_sizePostResults(phase_constitutionInstance(material_phase(ipc,ip,el)))) :: & constitutive_dislobased_postResults + !* Shortened notation matID = phase_constitutionInstance(material_phase(ipc,ip,el)) - n = constitutive_dislobased_Nslip(matID) + ns = constitutive_dislobased_Nslip(matID) + nt = constitutive_dislobased_Ntwin(matID) + + !* Total twin volume fraction + sumf = 0.0_pReal + if (nt > 0_pInt) sumf = sum(state(ipc,ip,el)%p((ns+1):(ns+nt))) + + !* Required output c = 0_pInt constitutive_dislobased_postResults = 0.0_pReal do o = 1,phase_Noutput(material_phase(ipc,ip,el)) select case(constitutive_dislobased_output(o,matID)) - case ('dislodensity') - constitutive_dislobased_postResults(c+1:c+n) = state(ipc,ip,el)%p(6*n+1:7*n) - c = c + n + case ('state_slip') + constitutive_dislobased_postResults(c+1:c+ns) = state(ipc,ip,el)%p(1:ns) + c = c + ns - case ('rateofshear') - do i = 1,n + case ('rateofshear_slip') + do i = 1,ns tau_slip = dot_product(Tstar_v,lattice_Sslip_v(:,i,constitutive_dislobased_structure(matID))) - if ((abs(tau_slip)-state(ipc,ip,el)%p(3*n+i))>0) then - constitutive_dislobased_postResults(c+i) = state(ipc,ip,el)%p(7*n+i)*sign(1.0_pReal,tau_slip)*& - sinh(((abs(tau_slip)-state(ipc,ip,el)%p(3*n+i))*state(ipc,ip,el)%p(5*n+i))/(kB*Temperature)) + + if ( abs(tau_slip) > state(ipc,ip,el)%p(6*ns+3*nt+i) ) then + constitutive_dislobased_postResults(c+i) = state(ipc,ip,el)%p(9*ns+5*nt+i)*sign(1.0_pReal,tau_slip)*& + sinh(((abs(tau_slip)-state(ipc,ip,el)%p(6*ns+3*nt+i))*state(ipc,ip,el)%p(7*ns+4*nt+i))/(kB*Temperature) ) else - constitutive_dislobased_postResults(c+i) = 0.0_pReal - endif + constitutive_dislobased_postResults(c+i) = 0.0_pReal + endif enddo - c = c + n + c = c + ns + + case ('mfp_slip') + constitutive_dislobased_postResults(c+1:c+ns) = state(ipc,ip,el)%p((5*ns+2*nt+1):(6*ns+2*nt)) + c = c + ns + + case ('thresholdstress_slip') + constitutive_dislobased_postResults(c+1:c+ns) = state(ipc,ip,el)%p((6*ns+3*nt+1):(7*ns+3*nt)) + c = c + ns + + case ('state_twin') + if (nt > 0_pInt) constitutive_dislobased_postResults(c+1:c+nt) = state(ipc,ip,el)%p((ns+1):(ns+nt)) + c = c + nt + + case ('rateofshear_twin') + if (nt > 0_pInt) then + do i = 1,nt + tau_twin = dot_product(Tstar_v,lattice_Stwin_v(:,i,constitutive_dislobased_structure(matID))) + + if ( tau_twin > 0.0_pReal ) then + constitutive_dislobased_postResults(c+i) = (constitutive_dislobased_fmax(matID) - sumf)*& + lattice_shearTwin(i,constitutive_dislobased_structure(matID))*& + state(ipc,ip,el)%p(8*ns+4*nt+i)*constitutive_dislobased_Ndot0(matID)*& + exp(-(state(ipc,ip,el)%p(7*ns+3*nt+i)/tau_twin)**10.0_pReal) + else + constitutive_dislobased_postResults(c+i) = 0.0_pReal + endif + enddo + endif + c = c + nt + + case ('mfp_twin') + if (nt > 0_pInt) constitutive_dislobased_postResults(c+1:c+nt) = state(ipc,ip,el)%p((6*ns+2*nt+1):(6*ns+3*nt)) + c = c + nt + + case ('thresholdstress_twin') + if (nt > 0_pInt) constitutive_dislobased_postResults(c+1:c+nt) = state(ipc,ip,el)%p((7*ns+3*nt+1):(7*ns+4*nt)) + c = c + nt end select enddo return - end function END MODULE \ No newline at end of file