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Finalizing the implementation of deformation twinning in constitutive_dislo.f90 

Assume to be ready to use
This commit is contained in:
Luc Hantcherli 2007-12-10 12:55:43 +00:00
parent d0f6c81d66
commit 08a1c38c73
4 changed files with 209 additions and 66 deletions
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trunk/constitutive_dislo.f90
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@ -45,9 +45,7 @@ real(pReal), dimension(:) , allocatable :: material_C33
real(pReal), dimension(:) , allocatable :: material_C44 real(pReal), dimension(:) , allocatable :: material_C44
real(pReal), dimension(:) , allocatable :: material_Gmod real(pReal), dimension(:) , allocatable :: material_Gmod
real(pReal), dimension(:,:,:) , allocatable :: material_Cslip_66 real(pReal), dimension(:,:,:) , allocatable :: material_Cslip_66
real(pReal), dimension(:,:,:,:,:) , allocatable :: material_Cslip_3333
real(preal), dimension(:,:,:,:) , allocatable :: material_Ctwin_66 real(preal), dimension(:,:,:,:) , allocatable :: material_Ctwin_66
real(pReal), dimension(:,:,:,:,:,:), allocatable :: material_Ctwin_3333
!* Visco-plastic material parameters !* Visco-plastic material parameters
real(pReal), dimension(:) , allocatable :: material_rho0 real(pReal), dimension(:) , allocatable :: material_rho0
real(pReal), dimension(:) , allocatable :: material_bg real(pReal), dimension(:) , allocatable :: material_bg
@ -55,11 +53,16 @@ real(pReal), dimension(:) , allocatable :: material_Qedge
real(pReal), dimension(:) , allocatable :: material_tau0 real(pReal), dimension(:) , allocatable :: material_tau0
real(pReal), dimension(:) , allocatable :: material_GrainSize real(pReal), dimension(:) , allocatable :: material_GrainSize
real(pReal), dimension(:) , allocatable :: material_StackSize real(pReal), dimension(:) , allocatable :: material_StackSize
real(pReal), dimension(:) , allocatable :: material_twin_ref
real(pReal), dimension(:) , allocatable :: material_twin_res
real(pReal), dimension(:) , allocatable :: material_twin_sens
real(pReal), dimension(:) , allocatable :: material_c1 real(pReal), dimension(:) , allocatable :: material_c1
real(pReal), dimension(:) , allocatable :: material_c2 real(pReal), dimension(:) , allocatable :: material_c2
real(pReal), dimension(:) , allocatable :: material_c3 real(pReal), dimension(:) , allocatable :: material_c3
real(pReal), dimension(:) , allocatable :: material_c4 real(pReal), dimension(:) , allocatable :: material_c4
real(pReal), dimension(:) , allocatable :: material_c5 real(pReal), dimension(:) , allocatable :: material_c5
real(pReal), dimension(:) , allocatable :: material_c6
real(pReal), dimension(:) , allocatable :: material_c7
real(pReal), dimension(:,:) , allocatable :: material_SlipIntCoeff real(pReal), dimension(:,:) , allocatable :: material_SlipIntCoeff
!************************************ !************************************
@ -91,6 +94,21 @@ real(pReal), dimension(:,:,:) , allocatable :: constitutive_matVolFrac
integer(pInt), dimension(:,:,:) , allocatable :: constitutive_texID integer(pInt), dimension(:,:,:) , allocatable :: constitutive_texID
real(pReal), dimension(:,:,:) , allocatable :: constitutive_texVolFrac real(pReal), dimension(:,:,:) , allocatable :: constitutive_texVolFrac
!************************************
!* Kinetics variables *
!************************************
real(pReal), dimension(:) , allocatable :: constitutive_tau_slip
real(pReal), dimension(:) , allocatable :: constitutive_tau_twin
real(pReal), dimension(:) , allocatable :: constitutive_gdot_slip
real(pReal), dimension(:) , allocatable :: constitutive_fdot_twin
real(pReal), dimension(:) , allocatable :: constitutive_dgdot_dtauslip
real(pReal), dimension(:) , allocatable :: constitutive_dfdot_dtautwin
real(pReal), dimension(:,:) , allocatable :: constitutive_dfdot_dtauslip
real(pReal), dimension(:) , allocatable :: constitutive_locks
real(pReal), dimension(:) , allocatable :: constitutive_grainboundaries
real(pReal), dimension(:) , allocatable :: constitutive_twinboundaries
real(pReal), dimension(:) , allocatable :: constitutive_recovery
!************************************ !************************************
!* State variables * !* State variables *
!************************************ !************************************
@ -106,6 +124,8 @@ real(pReal), dimension(:) , allocatable :: constitutive_rho_f
real(pReal), dimension(:) , allocatable :: constitutive_rho_p real(pReal), dimension(:) , allocatable :: constitutive_rho_p
real(pReal), dimension(:) , allocatable :: constitutive_g0_slip real(pReal), dimension(:) , allocatable :: constitutive_g0_slip
real(pReal), dimension(:) , allocatable :: constitutive_twin_volume real(pReal), dimension(:) , allocatable :: constitutive_twin_volume
real(pReal), dimension(:) , allocatable :: constitutive_inv_intertwin_len
real(pReal), dimension(:) , allocatable :: constitutive_twin_mfp
!************************************ !************************************
!* Interaction matrices * !* Interaction matrices *
@ -118,7 +138,6 @@ real(pReal), dimension(:,:,:), allocatable :: constitutive_Pparallel
!************************************ !************************************
integer(pInt) constitutive_maxNresults integer(pInt) constitutive_maxNresults
integer(pInt), dimension(:,:,:), allocatable :: constitutive_Nresults integer(pInt), dimension(:,:,:), allocatable :: constitutive_Nresults
real(pReal), dimension(:,:,:,:), allocatable :: constitutive_results
@ -327,6 +346,12 @@ do while(.true.)
material_GrainSize(section)=IO_floatValue(line,positions,2) material_GrainSize(section)=IO_floatValue(line,positions,2)
case ('stack_size') case ('stack_size')
material_StackSize(section)=IO_floatValue(line,positions,2) material_StackSize(section)=IO_floatValue(line,positions,2)
case ('twin_reference')
material_twin_ref(section)=IO_floatValue(line,positions,2)
case ('twin_resistance')
material_twin_res(section)=IO_floatValue(line,positions,2)
case ('twin_sensitivity')
material_twin_sens(section)=IO_floatValue(line,positions,2)
case ('c1') case ('c1')
material_c1(section)=IO_floatValue(line,positions,2) material_c1(section)=IO_floatValue(line,positions,2)
case ('c2') case ('c2')
@ -337,6 +362,10 @@ do while(.true.)
material_c4(section)=IO_floatValue(line,positions,2) material_c4(section)=IO_floatValue(line,positions,2)
case ('c5') case ('c5')
material_c5(section)=IO_floatValue(line,positions,2) material_c5(section)=IO_floatValue(line,positions,2)
case ('c6')
material_c5(section)=IO_floatValue(line,positions,2)
case ('c7')
material_c5(section)=IO_floatValue(line,positions,2)
end select end select
endif endif
endif endif
@ -481,9 +510,7 @@ allocate(material_C33(material_maxN)) ; material
allocate(material_C44(material_maxN)) ; material_C44=0.0_pReal allocate(material_C44(material_maxN)) ; material_C44=0.0_pReal
allocate(material_Gmod(material_maxN)) ; material_Gmod=0.0_pReal allocate(material_Gmod(material_maxN)) ; material_Gmod=0.0_pReal
allocate(material_Cslip_66(6,6,material_maxN)) ; material_Cslip_66=0.0_pReal allocate(material_Cslip_66(6,6,material_maxN)) ; material_Cslip_66=0.0_pReal
allocate(material_Cslip_3333(3,3,3,3,material_maxN)) ; material_Cslip_3333=0.0_pReal
allocate(material_Ctwin_66(6,6,crystal_MaxMaxNtwinOfStructure,material_maxN)) ; material_Ctwin_66=0.0_pReal allocate(material_Ctwin_66(6,6,crystal_MaxMaxNtwinOfStructure,material_maxN)) ; material_Ctwin_66=0.0_pReal
allocate(material_Ctwin_3333(3,3,3,3,crystal_MaxMaxNtwinOfStructure,material_maxN)) ; material_Ctwin_3333=0.0_pReal
allocate(material_rho0(material_maxN)) ; material_rho0=0.0_pReal allocate(material_rho0(material_maxN)) ; material_rho0=0.0_pReal
allocate(material_SlipIntCoeff(crystal_MaxMaxNslipOfStructure,material_maxN)) ; material_SlipIntCoeff=0.0_pReal allocate(material_SlipIntCoeff(crystal_MaxMaxNslipOfStructure,material_maxN)) ; material_SlipIntCoeff=0.0_pReal
allocate(material_bg(material_maxN)) ; material_bg=0.0_pReal allocate(material_bg(material_maxN)) ; material_bg=0.0_pReal
@ -491,11 +518,16 @@ allocate(material_Qedge(material_maxN)) ; mat
allocate(material_tau0(material_maxN)) ; material_tau0=0.0_pReal allocate(material_tau0(material_maxN)) ; material_tau0=0.0_pReal
allocate(material_GrainSize(material_maxN)) ; material_GrainSize=0.0_pReal allocate(material_GrainSize(material_maxN)) ; material_GrainSize=0.0_pReal
allocate(material_StackSize(material_maxN)) ; material_StackSize=0.0_pReal allocate(material_StackSize(material_maxN)) ; material_StackSize=0.0_pReal
allocate(material_twin_ref(material_maxN)) ; material_twin_ref=0.0_pReal
allocate(material_twin_res(material_maxN)) ; material_twin_res=0.0_pReal
allocate(material_twin_sens(material_maxN)) ; material_twin_sens=0.0_pReal
allocate(material_c1(material_maxN)) ; material_c1=0.0_pReal allocate(material_c1(material_maxN)) ; material_c1=0.0_pReal
allocate(material_c2(material_maxN)) ; material_c2=0.0_pReal allocate(material_c2(material_maxN)) ; material_c2=0.0_pReal
allocate(material_c3(material_maxN)) ; material_c3=0.0_pReal allocate(material_c3(material_maxN)) ; material_c3=0.0_pReal
allocate(material_c4(material_maxN)) ; material_c4=0.0_pReal allocate(material_c4(material_maxN)) ; material_c4=0.0_pReal
allocate(material_c5(material_maxN)) ; material_c5=0.0_pReal allocate(material_c5(material_maxN)) ; material_c5=0.0_pReal
allocate(material_c6(material_maxN)) ; material_c5=0.0_pReal
allocate(material_c7(material_maxN)) ; material_c5=0.0_pReal
allocate(texture_ODFfile(texture_maxN)) ; texture_ODFfile='' allocate(texture_ODFfile(texture_maxN)) ; texture_ODFfile=''
allocate(texture_Ngrains(texture_maxN)) ; texture_Ngrains=0_pInt allocate(texture_Ngrains(texture_maxN)) ; texture_Ngrains=0_pInt
allocate(texture_symmetry(texture_maxN)) ; texture_symmetry='' allocate(texture_symmetry(texture_maxN)) ; texture_symmetry=''
@ -567,8 +599,7 @@ do i=1,material_maxN
material_Cslip_66(5,5,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)) material_Cslip_66(6,6,i)=0.5_pReal*(material_C11(i)-material_C12(i))
end select end select
material_Cslip_3333(:,:,:,:,i) = math_Voigt66to3333(material_Cslip_66(:,:,i)) material_Cslip_66(:,:,i) = math_Mandel3333to66(math_Voigt66to3333(material_Cslip_66(:,:,i)))
material_Cslip_66(:,:,i) = math_Mandel3333to66(material_Cslip_3333(:,:,:,:,i))
enddo enddo
! MISSING some consistency checks may be..? ! MISSING some consistency checks may be..?
@ -584,7 +615,7 @@ subroutine constitutive_Assignment()
!********************************************************************* !*********************************************************************
use prec, only: pReal,pInt use prec, only: pReal,pInt
use math, only: math_sampleGaussOri,math_sampleFiberOri,math_sampleRandomOri,math_symmetricEulers,math_EulerToR,& use math, only: math_sampleGaussOri,math_sampleFiberOri,math_sampleRandomOri,math_symmetricEulers,math_EulerToR,&
math_Mandel3333to66 math_Mandel3333to66,math_Mandel66to3333
use mesh, only: mesh_NcpElems,FE_Nips,FE_mapElemtype,mesh_maxNips,mesh_element use mesh, only: mesh_NcpElems,FE_Nips,FE_mapElemtype,mesh_maxNips,mesh_element
use IO, only: IO_hybridIA use IO, only: IO_hybridIA
use crystal, only: crystal_SlipIntType,crystal_sn,crystal_st,crystal_Qtwin use crystal, only: crystal_SlipIntType,crystal_sn,crystal_st,crystal_Qtwin
@ -599,6 +630,8 @@ integer(pInt), dimension(texture_maxN) :: Ncomponents,Nsym,multiplicity,ODFmap,s
real(pReal), dimension(3,4*(1+texture_maxNGauss+texture_maxNfiber)) :: Euler real(pReal), dimension(3,4*(1+texture_maxNGauss+texture_maxNfiber)) :: Euler
real(pReal), dimension(4*(1+texture_maxNGauss+texture_maxNfiber)) :: texVolfrac real(pReal), dimension(4*(1+texture_maxNGauss+texture_maxNfiber)) :: texVolfrac
real(pReal), dimension(texture_maxN) :: sumVolfrac real(pReal), dimension(texture_maxN) :: sumVolfrac
real(pReal), dimension(3,3,3,3) :: C_3333,Ctwin_3333
real(pReal), dimension(3,3) :: Qtwin
! process textures ! process textures
o = 0_pInt ! ODF counter o = 0_pInt ! ODF counter
@ -636,7 +669,10 @@ constitutive_maxNgrains = maxval(texture_Ngrains)
material_maxNslip = maxval(material_Nslip) ! max of slip systems among materials present material_maxNslip = maxval(material_Nslip) ! max of slip systems among materials present
material_maxNtwin = maxval(material_Ntwin) ! max of twin systems among materials present material_maxNtwin = maxval(material_Ntwin) ! max of twin systems among materials present
constitutive_maxNstatevars = maxval(material_Nslip) + maxval(material_Ntwin) constitutive_maxNstatevars = maxval(material_Nslip) + maxval(material_Ntwin)
! -----------------------------------------------------------------------------------------------------------------------
constitutive_maxNresults = 1_pInt constitutive_maxNresults = 1_pInt
! -----------------------------------------------------------------------------------------------------------------------
!* calc texture_totalNgrains !* calc texture_totalNgrains
allocate(texture_totalNgrains(texture_maxN)) ; texture_totalNgrains=0_pInt allocate(texture_totalNgrains(texture_maxN)) ; texture_totalNgrains=0_pInt
@ -660,8 +696,6 @@ allocate(constitutive_MatVolFrac(constitutive_maxNgrains,mesh_maxNips,mesh_NcpEl
allocate(constitutive_TexVolFrac(constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems)) ; constitutive_TexVolFrac=0.0_pReal allocate(constitutive_TexVolFrac(constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems)) ; constitutive_TexVolFrac=0.0_pReal
allocate(constitutive_EulerAngles(3,constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems)) ; constitutive_EulerAngles=0.0_pReal allocate(constitutive_EulerAngles(3,constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems)) ; constitutive_EulerAngles=0.0_pReal
allocate(constitutive_Nresults(constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems)) ; constitutive_Nresults=0_pInt allocate(constitutive_Nresults(constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems)) ; constitutive_Nresults=0_pInt
allocate(constitutive_results(constitutive_maxNresults,constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems))
constitutive_results=0.0_pReal
allocate(constitutive_Nstatevars(constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems)) ; constitutive_Nstatevars=0_pInt 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)) allocate(constitutive_state_old(constitutive_maxNstatevars,constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems))
constitutive_state_old=0.0_pReal constitutive_state_old=0.0_pReal
@ -679,6 +713,19 @@ allocate(constitutive_jump_width(material_maxNslip)) ; constitutive_jump_
allocate(constitutive_activation_volume(material_maxNslip)) ; constitutive_activation_volume=0.0_pReal allocate(constitutive_activation_volume(material_maxNslip)) ; constitutive_activation_volume=0.0_pReal
allocate(constitutive_g0_slip(material_maxNslip)) ; constitutive_g0_slip=0.0_pReal allocate(constitutive_g0_slip(material_maxNslip)) ; constitutive_g0_slip=0.0_pReal
allocate(constitutive_twin_volume(material_maxNtwin)) ; constitutive_twin_volume=0.0_pReal allocate(constitutive_twin_volume(material_maxNtwin)) ; constitutive_twin_volume=0.0_pReal
allocate(constitutive_inv_intertwin_len(material_maxNtwin)) ; constitutive_inv_intertwin_len=0.0_pReal
allocate(constitutive_twin_mfp(material_maxNtwin)) ; constitutive_twin_mfp=0.0_pReal
allocate(constitutive_tau_slip(material_maxNslip)) ; constitutive_tau_slip=0.0_pReal
allocate(constitutive_tau_twin(material_maxNtwin)) ; constitutive_tau_twin=0.0_pReal
allocate(constitutive_gdot_slip(material_maxNslip)) ; constitutive_gdot_slip=0.0_pReal
allocate(constitutive_fdot_twin(material_maxNtwin)) ; constitutive_fdot_twin=0.0_pReal
allocate(constitutive_dgdot_dtauslip(material_maxNslip)) ; constitutive_dgdot_dtauslip=0.0_pReal
allocate(constitutive_dfdot_dtautwin(material_maxNtwin)) ; constitutive_dfdot_dtautwin=0.0_pReal
allocate(constitutive_dfdot_dtauslip(material_maxNtwin,material_maxNslip)) ; constitutive_dfdot_dtauslip=0.0_pReal
allocate(constitutive_locks(material_maxNslip)) ; constitutive_locks=0.0_pReal
allocate(constitutive_grainboundaries(material_maxNslip)) ; constitutive_grainboundaries=0.0_pReal
allocate(constitutive_twinboundaries(material_maxNslip)) ; constitutive_twinboundaries=0.0_pReal
allocate(constitutive_recovery(material_maxNslip)) ; constitutive_locks=0.0_pReal
!* Assignment of all grains in all IPs of all cp-elements !* Assignment of all grains in all IPs of all cp-elements
do e=1,mesh_NcpElems do e=1,mesh_NcpElems
@ -723,7 +770,9 @@ do e=1,mesh_NcpElems
constitutive_MatVolFrac(g,i,e) = 1.0_pReal ! singular material (so far) constitutive_MatVolFrac(g,i,e) = 1.0_pReal ! singular material (so far)
constitutive_TexVolFrac(g,i,e) = texVolfrac(s)/multiplicity(texID)/Nsym(texID) constitutive_TexVolFrac(g,i,e) = texVolfrac(s)/multiplicity(texID)/Nsym(texID)
constitutive_Nstatevars(g,i,e) = material_Nslip(matID) ! number of state variables (i.e. tau_c of each slip system) constitutive_Nstatevars(g,i,e) = material_Nslip(matID) ! number of state variables (i.e. tau_c of each slip system)
constitutive_Nresults(g,i,e) = 0 ! number of constitutive results ! -----------------------------------------------------------------------------------------------------------------------
constitutive_Nresults(g,i,e) = 0 ! number of constitutive results output by constitutive_post_results
! -----------------------------------------------------------------------------------------------------------------------
constitutive_EulerAngles(:,g,i,e) = Euler(:,s) ! store initial orientation constitutive_EulerAngles(:,g,i,e) = Euler(:,s) ! store initial orientation
forall (l=1:constitutive_Nstatevars(g,i,e)) ! initialize state variables forall (l=1:constitutive_Nstatevars(g,i,e)) ! initialize state variables
constitutive_state_old(l,g,i,e) = material_rho0(matID) constitutive_state_old(l,g,i,e) = material_rho0(matID)
@ -737,21 +786,19 @@ enddo ! cp_element
!* Construction of the rotated elasticity matrices for twinning !* Construction of the rotated elasticity matrices for twinning
do i=1,material_maxN do i=1,material_maxN
C_3333=math_Mandel66to3333(material_Cslip_66(:,:,i))
do j=1,material_Ntwin(i) do j=1,material_Ntwin(i)
Qtwin=crystal_Qtwin(:,:,j,material_CrystalStructure(i))
do k=1,3 do k=1,3
do l=1,3 do l=1,3
do m=1,3 do m=1,3
do n=1,3 do n=1,3
material_Ctwin_3333(k,l,m,n,j,i)=0.0_pReal Ctwin_3333(k,l,m,n)=0.0_pReal
do p=1,3 do p=1,3
do q=1,3 do q=1,3
do r=1,3 do r=1,3
do s=1,3 do s=1,3
material_Ctwin_3333(k,l,m,n,j,i)=material_Ctwin_3333(k,l,m,n,j,i)+material_Cslip_3333(p,q,r,s,i)*& Ctwin_3333(k,l,m,n)=Ctwin_3333(k,l,m,n)+C_3333(p,q,r,s)*Qtwin(k,p)*Qtwin(l,q)*Qtwin(m,r)*Qtwin(n,s)
crystal_Qtwin(k,p,j,material_CrystalStructure(i))*&
crystal_Qtwin(l,q,j,material_CrystalStructure(i))*&
crystal_Qtwin(m,r,j,material_CrystalStructure(i))*&
crystal_Qtwin(n,s,j,material_CrystalStructure(i))
enddo enddo
enddo enddo
enddo enddo
@ -760,8 +807,8 @@ do i=1,material_maxN
enddo enddo
enddo enddo
enddo enddo
!* Mapping back to 66-formulation of the matices !* Mapping back to 66-format of the matrices
material_Ctwin_66(:,:,j,i) = math_Mandel3333to66(material_Ctwin_3333(:,:,:,:,j,i)) material_Ctwin_66(:,:,j,i) = math_Mandel3333to66(Ctwin_3333)
enddo enddo
enddo enddo
@ -801,19 +848,19 @@ implicit none
!* Definition of variables !* Definition of variables
integer(pInt) ipc,ip,el integer(pInt) ipc,ip,el
integer(pInt) matID,i integer(pInt) matID,i,startIdxTwin
real(pReal), dimension(6,6) :: constitutive_homogenizedC real(pReal), dimension(6,6) :: constitutive_homogenizedC
real(pReal), dimension(constitutive_Nstatevars(ipc,ip,el)) :: state real(pReal), dimension(constitutive_Nstatevars(ipc,ip,el)) :: state
!* Get the material-ID from the triplet(ipc,ip,el) !* Get the material-ID from the triplet(ipc,ip,el)
matID = constitutive_matID(ipc,ip,el) matID = constitutive_matID(ipc,ip,el)
startIdxTwin = material_Nslip(matID)
!* Homogenization scheme !* Homogenization scheme
constitutive_homogenizedC=(1-sum(state((material_Nslip(matID)+1):(material_Nslip(matID)+material_Ntwin(matID)))))*& constitutive_homogenizedC=(1-sum(state((startIdxTwin+1):(startIdxTwin+material_Ntwin(matID)))))*&
material_Cslip_66(:,:,constitutive_matID(ipc,ip,el)) material_Cslip_66(:,:,matID)
do i=1,material_Ntwin(matID) do i=1,material_Ntwin(matID)
constitutive_homogenizedC=constitutive_homogenizedC+state((material_Nslip(matID)+i))*& constitutive_homogenizedC=constitutive_homogenizedC+state(startIdxTwin+i)*material_Ctwin_66(:,:,i,matID)
material_Ctwin_66(:,:,i,constitutive_matID(ipc,ip,el))
enddo enddo
return return
@ -837,14 +884,15 @@ implicit none
!* Definition of variables !* Definition of variables
integer(pInt) ipc,ip,el integer(pInt) ipc,ip,el
integer(pInt) matID,i,j integer(pInt) matID,i,j,startIdxTwin
real(pReal) Tp,inv_intertwin_length,twin_mfp real(pReal) Tp,Ftwin
real(pReal), dimension(constitutive_Nstatevars(ipc,ip,el)) :: state real(pReal), dimension(constitutive_Nstatevars(ipc,ip,el)) :: state
!* Get the material-ID from the triplet(ipc,ip,el) !* Get the material-ID from the triplet(ipc,ip,el)
matID = constitutive_matID(ipc,ip,el) matID = constitutive_matID(ipc,ip,el)
startIdxTwin = material_Nslip(matID)
!* Quantities derivated from state - slip !* Quantities derived from state - slip
constitutive_rho_f=matmul(constitutive_Pforest (1:material_Nslip(matID),1:material_Nslip(matID),matID),state) constitutive_rho_f=matmul(constitutive_Pforest (1:material_Nslip(matID),1:material_Nslip(matID),matID),state)
constitutive_rho_p=matmul(constitutive_Pparallel(1:material_Nslip(matID),1:material_Nslip(matID),matID),state) constitutive_rho_p=matmul(constitutive_Pparallel(1:material_Nslip(matID),1:material_Nslip(matID),matID),state)
do i=1,material_Nslip(matID) do i=1,material_Nslip(matID)
@ -860,17 +908,18 @@ do i=1,material_Nslip(matID)
(Kb*Tp)) (Kb*Tp))
enddo enddo
!* Quantities derivated from state - twin !* Quantities derived from state - twin
Ftwin = sum(state((startIdxTwin+1):(startIdxTwin+material_Ntwin(matID))))
do i=1,material_Ntwin(matID) do i=1,material_Ntwin(matID)
!* Inverse of the average distance between 2 twins of the same familly !* Inverse of the average distance between 2 twins of the same familly
inv_intertwin_length=0.0_pReal constitutive_inv_intertwin_len(i)=0.0_pReal
do j=1,material_Ntwin(matID) do j=1,material_Ntwin(matID)
inv_intertwin_length=inv_intertwin_length+(crystal_TwinIntType(i,j,material_CrystalStructure(matID))*& constitutive_inv_intertwin_len(i)=constitutive_inv_intertwin_len(i)+&
state((material_Nslip(matID)+j)))/(2.0_pReal*material_StackSize(matID)*& (crystal_TwinIntType(i,j,material_CrystalStructure(matID))*state(startIdxTwin+j))/&
(1.0_pReal-(1-sum(state((material_Nslip(matID)+1):(material_Nslip(matID)+material_Ntwin(matID))))))) (2.0_pReal*material_StackSize(matID)*(1.0_pReal-Ftwin))
enddo enddo
twin_mfp=(1.0_pReal)/((1.0_pReal/material_GrainSize(matID))+inv_intertwin_length) constitutive_twin_mfp(i)=(1.0_pReal)/((1.0_pReal/material_GrainSize(matID))+constitutive_inv_intertwin_len(i))
constitutive_twin_volume(i)=(pi/6.0_pReal)*material_StackSize(matID)*twin_mfp**2.0_pReal constitutive_twin_volume(i)=(pi/6.0_pReal)*material_StackSize(matID)*constitutive_twin_mfp(i)**2.0_pReal
enddo enddo
return return
@ -893,44 +942,93 @@ subroutine constitutive_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,state,Tp,ipc,ip,el
!* - dLp_dTstar : derivative of Lp (4th-order tensor) * !* - dLp_dTstar : derivative of Lp (4th-order tensor) *
!********************************************************************* !*********************************************************************
use prec, only: pReal,pInt use prec, only: pReal,pInt
use crystal, only: crystal_Sslip,crystal_Sslip_v use crystal, only: crystal_Sslip,crystal_Sslip_v,crystal_Stwin,crystal_Stwin_v,crystal_TwinShear
implicit none implicit none
!* Definition of variables !* Definition of variables
integer(pInt) ipc,ip,el integer(pInt) ipc,ip,el
integer(pInt) matID,i,k,l,m,n integer(pInt) matID,startIdxTwin,i,j,k,l,m,n
real(pReal) Tp real(pReal) Tp,Ftwin
real(pReal), dimension(6) :: Tstar_v real(pReal), dimension(6) :: Tstar_v
real(pReal), dimension(3,3) :: Lp real(pReal), dimension(3,3) :: Lp,Sslip,Stwin
real(pReal), dimension(3,3,3,3) :: dLp_dTstar real(pReal), dimension(3,3,3,3) :: dLp_dTstar
real(pReal), dimension(constitutive_Nstatevars(ipc,ip,el)) :: state,gdot_slip,dgdot_dtauslip,tau_slip real(pReal), dimension(constitutive_Nstatevars(ipc,ip,el)) :: state
!* Get the material-ID from the triplet(ipc,ip,el) !* Get the material-ID from the triplet(ipc,ip,el)
matID = constitutive_matID(ipc,ip,el) matID = constitutive_matID(ipc,ip,el)
startIdxTwin = material_Nslip(matID)
!* Calculation of Lp !* Recompute arrays from the microstructure (may be not needed)
call constitutive_Microstructure(state,Tp,ipc,ip,el)
!* Calculation of Lp - slip
Ftwin = sum(state((startIdxTwin+1):(startIdxTwin+material_Ntwin(matID))))
Lp = 0.0_pReal Lp = 0.0_pReal
do i=1,material_Nslip(matID) do i=1,material_Nslip(matID)
tau_slip(i)=dot_product(Tstar_v,crystal_Sslip_v(:,i,material_CrystalStructure(matID))) constitutive_tau_slip(i)=dot_product(Tstar_v,crystal_Sslip_v(:,i,material_CrystalStructure(matID)))
gdot_slip(i)=constitutive_g0_slip(i)*sinh((abs(tau_slip(i))*constitutive_activation_volume(i))/(Kb*Tp))*& constitutive_gdot_slip(i)=constitutive_g0_slip(i)*sinh((abs(constitutive_tau_slip(i))*&
sign(1.0_pReal,tau_slip(i)) constitutive_activation_volume(i))/(Kb*Tp))*sign(1.0_pReal,constitutive_tau_slip(i))
Lp=Lp+gdot_slip(i)*crystal_Sslip(:,:,i,material_CrystalStructure(matID)) constitutive_dgdot_dtauslip(i)=((constitutive_g0_slip(i)*constitutive_activation_volume(i))/(Kb*Tp))*&
cosh((abs(constitutive_tau_slip(i))*constitutive_activation_volume(i))/(Kb*Tp))
Lp=Lp+(1.0_pReal-Ftwin)*constitutive_gdot_slip(i)*crystal_Sslip(:,:,i,material_CrystalStructure(matID))
enddo
!* Calculation of Lp - twin
do i=1,material_Ntwin(matID)
constitutive_tau_twin(i)=dot_product(Tstar_v,crystal_Stwin_v(:,i,material_CrystalStructure(matID)))
if (constitutive_tau_twin(i)>0.0_pReal) then
constitutive_fdot_twin(i)=(1.0_pReal-Ftwin)*constitutive_twin_volume(i)*&
((material_twin_ref(matID)*sum(state(1:material_Nslip(matID)))**(1.5_pReal))/material_bg(matID))*&
sum(abs(constitutive_gdot_slip))*(constitutive_tau_twin(i)/material_twin_res(matID))**&
material_twin_sens(matID)
constitutive_dfdot_dtautwin(i)=(1.0_pReal-Ftwin)*constitutive_twin_volume(i)*&
((material_twin_ref(matID)*sum(state(1:material_Nslip(matID)))**(1.5_pReal))/material_bg(matID))*&
sum(abs(constitutive_gdot_slip))*(material_twin_sens(matID)/material_twin_res(matID))*&
(constitutive_tau_twin(i)/material_twin_res(matID))**(material_twin_sens(matID)-1.0_pReal)
do j=1,material_Nslip(matID)
constitutive_dfdot_dtauslip(i,j)=(1.0_pReal-Ftwin)*constitutive_twin_volume(i)*&
((material_twin_ref(matID)*sum(state(1:material_Nslip(matID)))**(1.5_pReal))/material_bg(matID))*&
abs(constitutive_dgdot_dtauslip(j))*(constitutive_tau_twin(i)/material_twin_res(matID))**&
material_twin_sens(matID)
enddo
else
constitutive_fdot_twin(i)=0.0_pReal
constitutive_dfdot_dtautwin(i)=0.0_pReal
do j=1,material_Nslip(matID)
constitutive_dfdot_dtauslip(i,j)=0.0_pReal
enddo
endif
Lp=Lp+state(material_Nslip(matID)+i)*crystal_TwinShear(material_CrystalStructure(matID))*constitutive_fdot_twin(i)*&
crystal_Stwin(:,:,i,material_CrystalStructure(matID))
enddo enddo
!* Lp twin
!* Calculation of the tangent of Lp !* Calculation of the tangent of Lp
dLp_dTstar=0.0_pReal dLp_dTstar=0.0_pReal
do i=1,material_Nslip(matID) do i=1,material_Nslip(matID)
dgdot_dtauslip(i)=((constitutive_g0_slip(i)*constitutive_activation_volume(i))/(Kb*Tp))*& Sslip = crystal_Sslip(:,:,i,material_CrystalStructure(matID))
cosh((abs(tau_slip(i))*constitutive_activation_volume(i))/(Kb*Tp))
forall (k=1:3,l=1:3,m=1:3,n=1:3) forall (k=1:3,l=1:3,m=1:3,n=1:3)
dLp_dTstar(k,l,m,n) = dLp_dTstar(k,l,m,n)+ & dLp_dTstar(k,l,m,n) = dLp_dTstar(k,l,m,n)+ &
dgdot_dtauslip(i)*crystal_Sslip(k,l,i,material_CrystalStructure(matID))* & (1-Ftwin)*constitutive_dgdot_dtauslip(i)*Sslip(k,l)*(Sslip(m,n)+Sslip(n,m))/2.0_pReal !force m,n symmetry
(crystal_Sslip(m,n,i,material_CrystalStructure(matID))+ &
crystal_Sslip(n,m,i,material_CrystalStructure(matID)))/2.0_pReal ! force m,n symmetry
endforall endforall
enddo enddo
do i=1,material_Ntwin(matID)
Stwin = crystal_Stwin(:,:,i,material_CrystalStructure(matID))
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)+ &
state(material_Nslip(matID)+i)*crystal_TwinShear(material_CrystalStructure(matID))*&
constitutive_dfdot_dtautwin(i)*Stwin(k,l)*(Stwin(m,n)+Stwin(n,m))/2.0_pReal !force m,n symmetry
endforall
do j=1,material_Nslip(matID)
Sslip = crystal_Sslip(:,:,j,material_CrystalStructure(matID))
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)+ &
state(material_Nslip(matID)+i)*crystal_TwinShear(material_CrystalStructure(matID))*&
constitutive_dfdot_dtauslip(i,j)*Stwin(k,l)*(Sslip(m,n)+Sslip(n,m))/2.0_pReal !force m,n symmetry
endforall
enddo
enddo
return return
end subroutine end subroutine
@ -957,21 +1055,27 @@ implicit none
!* Definition of variables !* Definition of variables
integer(pInt) ipc,ip,el integer(pInt) ipc,ip,el
integer(pInt) matID,i integer(pInt) matID,i
real(pReal) Tp,tau_slip,gdot_slip,lock,recovery real(pReal) Tp,tau_slip,gdot_slip
real(pReal), dimension(6) :: Tstar_v real(pReal), dimension(6) :: Tstar_v
real(pReal), dimension(constitutive_Nstatevars(ipc,ip,el)) :: constitutive_dotState,state real(pReal), dimension(constitutive_Nstatevars(ipc,ip,el)) :: constitutive_dotState,state
!* Get the material-ID from the triplet(ipc,ip,el) !* Get the material-ID from the triplet(ipc,ip,el)
matID = constitutive_matID(ipc,ip,el) matID = constitutive_matID(ipc,ip,el)
!* Recompute arrays from the microstructure (may be not needed)
call constitutive_Microstructure(state,Tp,ipc,ip,el)
!* Hardening of each system !* Hardening of each system
do i=1,material_Nslip(matID) do i=1,material_Nslip(matID)
tau_slip = dot_product(Tstar_v,crystal_Sslip_v(:,i,material_CrystalStructure(matID))) tau_slip = dot_product(Tstar_v,crystal_Sslip_v(:,i,material_CrystalStructure(matID)))
gdot_slip = constitutive_g0_slip(i)*sinh((abs(tau_slip)*constitutive_activation_volume(i))/(Kb*Tp))*& gdot_slip = constitutive_g0_slip(i)*sinh((abs(tau_slip)*constitutive_activation_volume(i))/(Kb*Tp))*&
sign(1.0_pReal,tau_slip) sign(1.0_pReal,tau_slip)
lock=(material_c4(matID)*sqrt(constitutive_rho_f(i))*abs(gdot_slip))/material_bg(matID) constitutive_locks(i)=(sqrt(constitutive_rho_f(i))*abs(gdot_slip))/(material_c4(matID)*material_bg(matID))
recovery=material_c5(matID)*state(i)*abs(gdot_slip) constitutive_grainboundaries(i)=(abs(gdot_slip))/(material_c5(matID)*material_bg(matID)*material_GrainSize(matID))
constitutive_dotState(i)=lock-recovery constitutive_twinboundaries(i)=(abs(gdot_slip)*constitutive_inv_intertwin_len(i))/(material_c6(matID)*material_bg(matID))
constitutive_recovery(i)=material_c7(matID)*state(i)*abs(gdot_slip)
constitutive_dotState(i)=constitutive_locks(i)+constitutive_grainboundaries(i)+constitutive_twinboundaries(i)-&
constitutive_recovery(i)
enddo enddo
return return
@ -989,6 +1093,7 @@ function constitutive_post_results(Tstar_v,state,dt,Tp,ipc,ip,el)
!* - ipc : component-ID of current integration point * !* - ipc : component-ID of current integration point *
!* - ip : current integration point * !* - ip : current integration point *
!* - el : current element * !* - el : current element *
!* constitutive_Nresults has to be set accordingly in _Assignment *
!********************************************************************* !*********************************************************************
use prec, only: pReal,pInt use prec, only: pReal,pInt
use crystal, only: crystal_Sslip_v use crystal, only: crystal_Sslip_v

4
trunk/constitutive_pheno.f90
View File

@ -525,6 +525,7 @@ do i=1,material_maxN
material_Cslip_66(6,6,i)=0.5_pReal*(material_C11(i)-material_C12(i)) material_Cslip_66(6,6,i)=0.5_pReal*(material_C11(i)-material_C12(i))
end select end select
material_Cslip_66(:,:,i) = math_Mandel3333to66(math_Voigt66to3333(material_Cslip_66(:,:,i))) material_Cslip_66(:,:,i) = math_Mandel3333to66(math_Voigt66to3333(material_Cslip_66(:,:,i)))
! Check
enddo enddo
@ -766,7 +767,8 @@ real(pReal) Temperature
real(pReal), dimension(6) :: Tstar_v real(pReal), dimension(6) :: Tstar_v
real(pReal), dimension(3,3) :: Lp real(pReal), dimension(3,3) :: Lp
real(pReal), dimension(3,3,3,3) :: dLp_dTstar real(pReal), dimension(3,3,3,3) :: dLp_dTstar
real(pReal), dimension(constitutive_Nstatevars(ipc,ip,el)) :: state,gdot_slip,dgdot_dtauslip,tau_slip real(pReal), dimension(constitutive_Nstatevars(ipc,ip,el)) :: state
real(pReal), dimension(material_Nslip(constitutive_matID(ipc,ip,el))) :: gdot_slip,dgdot_dtauslip,tau_slip
!* Get the material-ID from the triplet(ipc,ip,el) !* Get the material-ID from the triplet(ipc,ip,el)
matID = constitutive_matID(ipc,ip,el) matID = constitutive_matID(ipc,ip,el)

38
trunk/crystal.f90
View File

@ -44,10 +44,14 @@ real(pReal), dimension(3,crystal_MaxMaxNtwinOfStructure,crystal_MaxCrystalStruct
real(pReal), dimension(3,crystal_MaxMaxNtwinOfStructure,crystal_MaxCrystalStructure) :: crystal_td real(pReal), dimension(3,crystal_MaxMaxNtwinOfStructure,crystal_MaxCrystalStructure) :: crystal_td
real(pReal), dimension(3,crystal_MaxMaxNtwinOfStructure,crystal_MaxCrystalStructure) :: crystal_tt real(pReal), dimension(3,crystal_MaxMaxNtwinOfStructure,crystal_MaxCrystalStructure) :: crystal_tt
real(pReal), dimension(3,3,crystal_MaxMaxNtwinOfStructure,crystal_MaxCrystalStructure) :: crystal_Qtwin real(pReal), dimension(3,3,crystal_MaxMaxNtwinOfStructure,crystal_MaxCrystalStructure) :: crystal_Qtwin
real(pReal), dimension(crystal_MaxCrystalStructure), parameter :: crystal_TwinShear = &
reshape((/0.7071067812,0.7071067812,0.7071067812/),(/crystal_MaxCrystalStructure/)) ! Depends surely on c/a ratio for HCP
!* Slip_slip interaction matrices !* Slip_slip interaction matrices
integer(pInt), dimension(crystal_MaxMaxNslipOfStructure,crystal_MaxMaxNslipOfStructure,crystal_MaxCrystalStructure) :: & integer(pInt), dimension(crystal_MaxMaxNslipOfStructure,crystal_MaxMaxNslipOfStructure,crystal_MaxCrystalStructure) :: &
crystal_SlipIntType crystal_SlipIntType
!* Twin-twin interaction matrices
integer(pInt), dimension(crystal_MaxMaxNtwinOfStructure,crystal_MaxMaxNtwinOfStructure,crystal_MaxCrystalStructure) :: &
crystal_TwinIntType
!*** Slip systems for FCC structures (1) *** !*** Slip systems for FCC structures (1) ***
!* System {111}<110> Sort according Eisenlohr&Hantcherli !* System {111}<110> Sort according Eisenlohr&Hantcherli
@ -93,6 +97,20 @@ data crystal_SlipIntType(10,1:crystal_MaxNslipOfStructure(1),1)/4,5,6,3,5,5,4,6,
data crystal_SlipIntType(11,1:crystal_MaxNslipOfStructure(1),1)/5,3,5,5,4,6,6,4,5,2,1,2/ data crystal_SlipIntType(11,1:crystal_MaxNslipOfStructure(1),1)/5,3,5,5,4,6,6,4,5,2,1,2/
data crystal_SlipIntType(12,1:crystal_MaxNslipOfStructure(1),1)/6,5,4,5,6,4,5,5,3,2,2,1/ data crystal_SlipIntType(12,1:crystal_MaxNslipOfStructure(1),1)/6,5,4,5,6,4,5,5,3,2,2,1/
!*** Twin-Twin interactions for FCC structures (1) ***
data crystal_TwinIntType( 1,1:crystal_MaxNtwinOfStructure(1),1)/0,0,0,1,1,1,1,1,1,1,1,1/
data crystal_TwinIntType( 2,1:crystal_MaxNtwinOfStructure(1),1)/0,0,0,1,1,1,1,1,1,1,1,1/
data crystal_TwinIntType( 3,1:crystal_MaxNtwinOfStructure(1),1)/0,0,0,1,1,1,1,1,1,1,1,1/
data crystal_TwinIntType( 4,1:crystal_MaxNtwinOfStructure(1),1)/1,1,1,0,0,0,1,1,1,1,1,1/
data crystal_TwinIntType( 5,1:crystal_MaxNtwinOfStructure(1),1)/1,1,1,0,0,0,1,1,1,1,1,1/
data crystal_TwinIntType( 6,1:crystal_MaxNtwinOfStructure(1),1)/1,1,1,0,0,0,1,1,1,1,1,1/
data crystal_TwinIntType( 7,1:crystal_MaxNtwinOfStructure(1),1)/1,1,1,1,1,1,0,0,0,1,1,1/
data crystal_TwinIntType( 8,1:crystal_MaxNtwinOfStructure(1),1)/1,1,1,1,1,1,0,0,0,1,1,1/
data crystal_TwinIntType( 9,1:crystal_MaxNtwinOfStructure(1),1)/1,1,1,1,1,1,0,0,0,1,1,1/
data crystal_TwinIntType(10,1:crystal_MaxNtwinOfStructure(1),1)/1,1,1,1,1,1,1,1,1,0,0,0/
data crystal_TwinIntType(11,1:crystal_MaxNtwinOfStructure(1),1)/1,1,1,1,1,1,1,1,1,0,0,0/
data crystal_TwinIntType(12,1:crystal_MaxNtwinOfStructure(1),1)/1,1,1,1,1,1,1,1,1,0,0,0/
!*** Slip systems for BCC structures (2) *** !*** Slip systems for BCC structures (2) ***
!* System {110}<111> !* System {110}<111>
!* Sort? !* Sort?
@ -152,7 +170,7 @@ data crystal_sd(:,48,2)/ 1,-1, 1/ ; data crystal_sn(:,48,2)/ 3, 2,-1/
!*** Twin systems for BCC structures (2) *** !*** Twin systems for BCC structures (2) ***
!* System {112}<111> !* System {112}<111>
!* Sort? !* Sort?
!* MISSING !* MISSING: not implemented yet
!*** Slip-Slip interactions for BCC structures (2) *** !*** Slip-Slip interactions for BCC structures (2) ***
data crystal_SlipIntType( 1,:,2)/1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2/ data crystal_SlipIntType( 1,:,2)/1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2/
@ -204,6 +222,9 @@ data crystal_SlipIntType(46,:,2)/2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
data crystal_SlipIntType(47,:,2)/2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,2/ data crystal_SlipIntType(47,:,2)/2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,2/
data crystal_SlipIntType(48,:,2)/2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1/ data crystal_SlipIntType(48,:,2)/2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1/
!*** Twin-twin interactions for BCC structures (2) ***
! MISSING: not implemented yet
!*** Slip systems for HCP structures (3) *** !*** Slip systems for HCP structures (3) ***
!* Basal systems {0001}<1120> (independent of c/a-ratio) !* Basal systems {0001}<1120> (independent of c/a-ratio)
!* 1- (0 0 0 1)[-2 1 1 0] !* 1- (0 0 0 1)[-2 1 1 0]
@ -241,10 +262,10 @@ data crystal_sd(:,10,3)/-1, 0, 0/ ; data crystal_sn(:,10,3)/ 1, 0, 1/
data crystal_sd(:,11,3)/ 0,-1, 0/ ; data crystal_sn(:,11,3)/-1, 1, 1/ data crystal_sd(:,11,3)/ 0,-1, 0/ ; data crystal_sn(:,11,3)/-1, 1, 1/
data crystal_sd(:,12,3)/ 1, 1, 0/ ; data crystal_sn(:,12,3)/ 1,-1, 1/ data crystal_sd(:,12,3)/ 1, 1, 0/ ; data crystal_sn(:,12,3)/ 1,-1, 1/
!*** Twin systems for HCP structures (2) *** !*** Twin systems for HCP structures (3) ***
!* System {1012}<1011> !* System {1012}<1011>
!* Sort? !* Sort?
!* MISSING !* MISSING: not implemented yet
!*** Slip-Slip interactions for HCP structures (3) *** !*** Slip-Slip interactions for HCP structures (3) ***
data crystal_SlipIntType( 1,1:crystal_MaxNslipOfStructure(3),3)/1,2,2,2,2,2,2,2,2,2,2,2/ data crystal_SlipIntType( 1,1:crystal_MaxNslipOfStructure(3),3)/1,2,2,2,2,2,2,2,2,2,2,2/
@ -260,6 +281,9 @@ data crystal_SlipIntType(10,1:crystal_MaxNslipOfStructure(3),3)/2,2,2,2,2,2,2,2,
data crystal_SlipIntType(11,1:crystal_MaxNslipOfStructure(3),3)/2,2,2,2,2,2,2,2,2,2,1,2/ data crystal_SlipIntType(11,1:crystal_MaxNslipOfStructure(3),3)/2,2,2,2,2,2,2,2,2,2,1,2/
data crystal_SlipIntType(12,1:crystal_MaxNslipOfStructure(3),3)/2,2,2,2,2,2,2,2,2,2,2,1/ data crystal_SlipIntType(12,1:crystal_MaxNslipOfStructure(3),3)/2,2,2,2,2,2,2,2,2,2,2,1/
!*** Twin-twin interactions for HCP structures (3) ***
! MISSING: not implemented yet
CONTAINS CONTAINS
!**************************************** !****************************************
@ -281,7 +305,7 @@ subroutine crystal_SchmidMatrices()
!* Calculation of Schmid matrices * !* Calculation of Schmid matrices *
!************************************** !**************************************
use prec, only: pReal,pInt use prec, only: pReal,pInt
use math, only: math_identity2nd use math, only: math_I3
implicit none implicit none
!* Definition of variables !* Definition of variables
@ -315,13 +339,13 @@ do l=1,crystal_MaxCrystalStructure
enddo enddo
!* Iteration over the twin systems !* Iteration over the twin systems
do k=1,crystal_MaxNslipOfStructure(l) do k=1,crystal_MaxNtwinOfStructure(l)
!* Definition of transverse direction tt for the frame (td,tt,tn) !* Definition of transverse direction tt for the frame (td,tt,tn)
crystal_tt(1,k,l)=crystal_tn(2,k,l)*crystal_td(3,k,l)-crystal_tn(3,k,l)*crystal_td(2,k,l) crystal_tt(1,k,l)=crystal_tn(2,k,l)*crystal_td(3,k,l)-crystal_tn(3,k,l)*crystal_td(2,k,l)
crystal_tt(2,k,l)=crystal_tn(3,k,l)*crystal_td(1,k,l)-crystal_tn(1,k,l)*crystal_td(3,k,l) crystal_tt(2,k,l)=crystal_tn(3,k,l)*crystal_td(1,k,l)-crystal_tn(1,k,l)*crystal_td(3,k,l)
crystal_tt(3,k,l)=crystal_tn(1,k,l)*crystal_td(2,k,l)-crystal_tn(2,k,l)*crystal_td(1,k,l) crystal_tt(3,k,l)=crystal_tn(1,k,l)*crystal_td(2,k,l)-crystal_tn(2,k,l)*crystal_td(1,k,l)
!* Defintion of Schmid matrix and transformation matrices !* Defintion of Schmid matrix and transformation matrices
crystal_Qtwin(:,:,k,l)=-math_identity2nd(3) crystal_Qtwin(:,:,k,l)=-math_I3
forall (i=1:3,j=1:3) forall (i=1:3,j=1:3)
crystal_Stwin(i,j,k,l)=crystal_td(i,k,l)*crystal_tn(j,k,l) crystal_Stwin(i,j,k,l)=crystal_td(i,k,l)*crystal_tn(j,k,l)
crystal_Qtwin(i,j,k,l)=crystal_Qtwin(i,j,k,l)+2*crystal_tn(i,k,l)*crystal_tn(j,k,l) crystal_Qtwin(i,j,k,l)=crystal_Qtwin(i,j,k,l)+2*crystal_tn(i,k,l)*crystal_tn(j,k,l)

18
trunk/mattex.mpie
View File

@ -36,14 +36,26 @@ c2 2.0
# Activation volume adjustment # Activation volume adjustment
c3 0.4 c3 0.4
# Dislocation storage adjustment # Dislocation storage adjustment
c4 0.05 c4 20.0
# Grain boundaries storage adjustment
c5 1.0e100
# Twin boundaries storage adjustment
c6 1.0e100
# Athermal annihilation adjustment # Athermal annihilation adjustment
c5 10.0 c7 10.0
# Dislocation interaction coefficients # Dislocation interaction coefficients
interaction_coefficients 1.0 2.2 3.0 1.6 3.8 4.5 interaction_coefficients 1.0 2.2 3.0 1.6 3.8 4.5
# Twin parameters: grain size, average size of stacks of twins [m] # Twin parameters
# grain size, average size of stacks of twins [m]
grain_size 1.5e-5 grain_size 1.5e-5
stack_size 5.0e-8 stack_size 5.0e-8
# stacking fault energy
stacking_fault_energy 2.0e-2
# Twin reference [?], twin resistance [Pa], twin sensitivity
twin_ref 1.0e-15
twin_res 150.0e6
twin_sens 10.0
<textures> <textures>
[cube SX] [cube SX]