Finalizing the implementation of deformation twinning in constitutive_dislo.f90
Assume to be ready to use
This commit is contained in:
Luc Hantcherli
parent
d0f6c81d66
commit
08a1c38c73
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@ -45,9 +45,7 @@ real(pReal), dimension(:) , allocatable :: material_C33
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real(pReal), dimension(:) , allocatable :: material_C44
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real(pReal), dimension(:) , allocatable :: material_Gmod
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real(pReal), dimension(:,:,:) , allocatable :: material_Cslip_66
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real(pReal), dimension(:,:,:,:,:) , allocatable :: material_Cslip_3333
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real(preal), dimension(:,:,:,:) , allocatable :: material_Ctwin_66
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real(pReal), dimension(:,:,:,:,:,:), allocatable :: material_Ctwin_3333
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!* Visco-plastic material parameters
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real(pReal), dimension(:) , allocatable :: material_rho0
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real(pReal), dimension(:) , allocatable :: material_bg
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@ -55,11 +53,16 @@ real(pReal), dimension(:) , allocatable :: material_Qedge
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real(pReal), dimension(:) , allocatable :: material_tau0
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real(pReal), dimension(:) , allocatable :: material_GrainSize
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real(pReal), dimension(:) , allocatable :: material_StackSize
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real(pReal), dimension(:) , allocatable :: material_twin_ref
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real(pReal), dimension(:) , allocatable :: material_twin_res
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real(pReal), dimension(:) , allocatable :: material_twin_sens
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real(pReal), dimension(:) , allocatable :: material_c1
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real(pReal), dimension(:) , allocatable :: material_c2
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real(pReal), dimension(:) , allocatable :: material_c3
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real(pReal), dimension(:) , allocatable :: material_c4
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real(pReal), dimension(:) , allocatable :: material_c5
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real(pReal), dimension(:) , allocatable :: material_c6
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real(pReal), dimension(:) , allocatable :: material_c7
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real(pReal), dimension(:,:) , allocatable :: material_SlipIntCoeff
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!************************************
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@ -91,6 +94,21 @@ real(pReal), dimension(:,:,:) , allocatable :: constitutive_matVolFrac
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integer(pInt), dimension(:,:,:) , allocatable :: constitutive_texID
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real(pReal), dimension(:,:,:) , allocatable :: constitutive_texVolFrac
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!************************************
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!* Kinetics variables *
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!************************************
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real(pReal), dimension(:) , allocatable :: constitutive_tau_slip
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real(pReal), dimension(:) , allocatable :: constitutive_tau_twin
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real(pReal), dimension(:) , allocatable :: constitutive_gdot_slip
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real(pReal), dimension(:) , allocatable :: constitutive_fdot_twin
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real(pReal), dimension(:) , allocatable :: constitutive_dgdot_dtauslip
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real(pReal), dimension(:) , allocatable :: constitutive_dfdot_dtautwin
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real(pReal), dimension(:,:) , allocatable :: constitutive_dfdot_dtauslip
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real(pReal), dimension(:) , allocatable :: constitutive_locks
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real(pReal), dimension(:) , allocatable :: constitutive_grainboundaries
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real(pReal), dimension(:) , allocatable :: constitutive_twinboundaries
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real(pReal), dimension(:) , allocatable :: constitutive_recovery
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!************************************
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!* State variables *
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!************************************
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@ -106,6 +124,8 @@ real(pReal), dimension(:) , allocatable :: constitutive_rho_f
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real(pReal), dimension(:) , allocatable :: constitutive_rho_p
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real(pReal), dimension(:) , allocatable :: constitutive_g0_slip
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real(pReal), dimension(:) , allocatable :: constitutive_twin_volume
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real(pReal), dimension(:) , allocatable :: constitutive_inv_intertwin_len
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real(pReal), dimension(:) , allocatable :: constitutive_twin_mfp
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!************************************
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!* Interaction matrices *
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@ -118,7 +138,6 @@ real(pReal), dimension(:,:,:), allocatable :: constitutive_Pparallel
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!************************************
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integer(pInt) constitutive_maxNresults
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integer(pInt), dimension(:,:,:), allocatable :: constitutive_Nresults
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real(pReal), dimension(:,:,:,:), allocatable :: constitutive_results
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@ -327,6 +346,12 @@ do while(.true.)
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material_GrainSize(section)=IO_floatValue(line,positions,2)
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case ('stack_size')
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material_StackSize(section)=IO_floatValue(line,positions,2)
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case ('twin_reference')
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material_twin_ref(section)=IO_floatValue(line,positions,2)
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case ('twin_resistance')
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material_twin_res(section)=IO_floatValue(line,positions,2)
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case ('twin_sensitivity')
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material_twin_sens(section)=IO_floatValue(line,positions,2)
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case ('c1')
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material_c1(section)=IO_floatValue(line,positions,2)
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case ('c2')
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@ -337,6 +362,10 @@ do while(.true.)
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material_c4(section)=IO_floatValue(line,positions,2)
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case ('c5')
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material_c5(section)=IO_floatValue(line,positions,2)
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case ('c6')
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material_c5(section)=IO_floatValue(line,positions,2)
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case ('c7')
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material_c5(section)=IO_floatValue(line,positions,2)
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end select
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endif
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endif
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@ -481,9 +510,7 @@ allocate(material_C33(material_maxN)) ; material
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allocate(material_C44(material_maxN)) ; material_C44=0.0_pReal
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allocate(material_Gmod(material_maxN)) ; material_Gmod=0.0_pReal
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allocate(material_Cslip_66(6,6,material_maxN)) ; material_Cslip_66=0.0_pReal
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allocate(material_Cslip_3333(3,3,3,3,material_maxN)) ; material_Cslip_3333=0.0_pReal
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allocate(material_Ctwin_66(6,6,crystal_MaxMaxNtwinOfStructure,material_maxN)) ; material_Ctwin_66=0.0_pReal
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allocate(material_Ctwin_3333(3,3,3,3,crystal_MaxMaxNtwinOfStructure,material_maxN)) ; material_Ctwin_3333=0.0_pReal
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allocate(material_rho0(material_maxN)) ; material_rho0=0.0_pReal
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allocate(material_SlipIntCoeff(crystal_MaxMaxNslipOfStructure,material_maxN)) ; material_SlipIntCoeff=0.0_pReal
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allocate(material_bg(material_maxN)) ; material_bg=0.0_pReal
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@ -491,11 +518,16 @@ allocate(material_Qedge(material_maxN)) ; mat
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allocate(material_tau0(material_maxN)) ; material_tau0=0.0_pReal
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allocate(material_GrainSize(material_maxN)) ; material_GrainSize=0.0_pReal
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allocate(material_StackSize(material_maxN)) ; material_StackSize=0.0_pReal
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allocate(material_twin_ref(material_maxN)) ; material_twin_ref=0.0_pReal
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allocate(material_twin_res(material_maxN)) ; material_twin_res=0.0_pReal
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allocate(material_twin_sens(material_maxN)) ; material_twin_sens=0.0_pReal
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allocate(material_c1(material_maxN)) ; material_c1=0.0_pReal
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allocate(material_c2(material_maxN)) ; material_c2=0.0_pReal
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allocate(material_c3(material_maxN)) ; material_c3=0.0_pReal
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allocate(material_c4(material_maxN)) ; material_c4=0.0_pReal
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allocate(material_c5(material_maxN)) ; material_c5=0.0_pReal
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allocate(material_c6(material_maxN)) ; material_c5=0.0_pReal
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allocate(material_c7(material_maxN)) ; material_c5=0.0_pReal
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allocate(texture_ODFfile(texture_maxN)) ; texture_ODFfile=''
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allocate(texture_Ngrains(texture_maxN)) ; texture_Ngrains=0_pInt
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allocate(texture_symmetry(texture_maxN)) ; texture_symmetry=''
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@ -567,8 +599,7 @@ do i=1,material_maxN
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material_Cslip_66(5,5,i)=material_C44(i)
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material_Cslip_66(6,6,i)=0.5_pReal*(material_C11(i)-material_C12(i))
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end select
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material_Cslip_3333(:,:,:,:,i) = math_Voigt66to3333(material_Cslip_66(:,:,i))
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material_Cslip_66(:,:,i) = math_Mandel3333to66(material_Cslip_3333(:,:,:,:,i))
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material_Cslip_66(:,:,i) = math_Mandel3333to66(math_Voigt66to3333(material_Cslip_66(:,:,i)))
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enddo
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! MISSING some consistency checks may be..?
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@ -584,7 +615,7 @@ subroutine constitutive_Assignment()
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!*********************************************************************
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use prec, only: pReal,pInt
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use math, only: math_sampleGaussOri,math_sampleFiberOri,math_sampleRandomOri,math_symmetricEulers,math_EulerToR,&
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math_Mandel3333to66
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math_Mandel3333to66,math_Mandel66to3333
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use mesh, only: mesh_NcpElems,FE_Nips,FE_mapElemtype,mesh_maxNips,mesh_element
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use IO, only: IO_hybridIA
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use crystal, only: crystal_SlipIntType,crystal_sn,crystal_st,crystal_Qtwin
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@ -599,6 +630,8 @@ integer(pInt), dimension(texture_maxN) :: Ncomponents,Nsym,multiplicity,ODFmap,s
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real(pReal), dimension(3,4*(1+texture_maxNGauss+texture_maxNfiber)) :: Euler
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real(pReal), dimension(4*(1+texture_maxNGauss+texture_maxNfiber)) :: texVolfrac
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real(pReal), dimension(texture_maxN) :: sumVolfrac
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real(pReal), dimension(3,3,3,3) :: C_3333,Ctwin_3333
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real(pReal), dimension(3,3) :: Qtwin
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! process textures
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o = 0_pInt ! ODF counter
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@ -636,7 +669,10 @@ constitutive_maxNgrains = maxval(texture_Ngrains)
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material_maxNslip = maxval(material_Nslip) ! max of slip systems among materials present
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material_maxNtwin = maxval(material_Ntwin) ! max of twin systems among materials present
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constitutive_maxNstatevars = maxval(material_Nslip) + maxval(material_Ntwin)
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! -----------------------------------------------------------------------------------------------------------------------
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constitutive_maxNresults = 1_pInt
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! -----------------------------------------------------------------------------------------------------------------------
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!* calc texture_totalNgrains
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allocate(texture_totalNgrains(texture_maxN)) ; texture_totalNgrains=0_pInt
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@ -660,8 +696,6 @@ allocate(constitutive_MatVolFrac(constitutive_maxNgrains,mesh_maxNips,mesh_NcpEl
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allocate(constitutive_TexVolFrac(constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems)) ; constitutive_TexVolFrac=0.0_pReal
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allocate(constitutive_EulerAngles(3,constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems)) ; constitutive_EulerAngles=0.0_pReal
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allocate(constitutive_Nresults(constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems)) ; constitutive_Nresults=0_pInt
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allocate(constitutive_results(constitutive_maxNresults,constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems))
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constitutive_results=0.0_pReal
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allocate(constitutive_Nstatevars(constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems)) ; constitutive_Nstatevars=0_pInt
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allocate(constitutive_state_old(constitutive_maxNstatevars,constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems))
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constitutive_state_old=0.0_pReal
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@ -679,6 +713,19 @@ allocate(constitutive_jump_width(material_maxNslip)) ; constitutive_jump_
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allocate(constitutive_activation_volume(material_maxNslip)) ; constitutive_activation_volume=0.0_pReal
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allocate(constitutive_g0_slip(material_maxNslip)) ; constitutive_g0_slip=0.0_pReal
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allocate(constitutive_twin_volume(material_maxNtwin)) ; constitutive_twin_volume=0.0_pReal
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allocate(constitutive_inv_intertwin_len(material_maxNtwin)) ; constitutive_inv_intertwin_len=0.0_pReal
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allocate(constitutive_twin_mfp(material_maxNtwin)) ; constitutive_twin_mfp=0.0_pReal
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allocate(constitutive_tau_slip(material_maxNslip)) ; constitutive_tau_slip=0.0_pReal
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allocate(constitutive_tau_twin(material_maxNtwin)) ; constitutive_tau_twin=0.0_pReal
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allocate(constitutive_gdot_slip(material_maxNslip)) ; constitutive_gdot_slip=0.0_pReal
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allocate(constitutive_fdot_twin(material_maxNtwin)) ; constitutive_fdot_twin=0.0_pReal
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allocate(constitutive_dgdot_dtauslip(material_maxNslip)) ; constitutive_dgdot_dtauslip=0.0_pReal
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allocate(constitutive_dfdot_dtautwin(material_maxNtwin)) ; constitutive_dfdot_dtautwin=0.0_pReal
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allocate(constitutive_dfdot_dtauslip(material_maxNtwin,material_maxNslip)) ; constitutive_dfdot_dtauslip=0.0_pReal
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allocate(constitutive_locks(material_maxNslip)) ; constitutive_locks=0.0_pReal
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allocate(constitutive_grainboundaries(material_maxNslip)) ; constitutive_grainboundaries=0.0_pReal
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allocate(constitutive_twinboundaries(material_maxNslip)) ; constitutive_twinboundaries=0.0_pReal
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allocate(constitutive_recovery(material_maxNslip)) ; constitutive_locks=0.0_pReal
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!* Assignment of all grains in all IPs of all cp-elements
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do e=1,mesh_NcpElems
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@ -723,7 +770,9 @@ do e=1,mesh_NcpElems
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constitutive_MatVolFrac(g,i,e) = 1.0_pReal ! singular material (so far)
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constitutive_TexVolFrac(g,i,e) = texVolfrac(s)/multiplicity(texID)/Nsym(texID)
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constitutive_Nstatevars(g,i,e) = material_Nslip(matID) ! number of state variables (i.e. tau_c of each slip system)
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constitutive_Nresults(g,i,e) = 0 ! number of constitutive results
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! -----------------------------------------------------------------------------------------------------------------------
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constitutive_Nresults(g,i,e) = 0 ! number of constitutive results output by constitutive_post_results
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! -----------------------------------------------------------------------------------------------------------------------
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constitutive_EulerAngles(:,g,i,e) = Euler(:,s) ! store initial orientation
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forall (l=1:constitutive_Nstatevars(g,i,e)) ! initialize state variables
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constitutive_state_old(l,g,i,e) = material_rho0(matID)
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@ -737,21 +786,19 @@ enddo ! cp_element
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!* Construction of the rotated elasticity matrices for twinning
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do i=1,material_maxN
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C_3333=math_Mandel66to3333(material_Cslip_66(:,:,i))
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do j=1,material_Ntwin(i)
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Qtwin=crystal_Qtwin(:,:,j,material_CrystalStructure(i))
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do k=1,3
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do l=1,3
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do m=1,3
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do n=1,3
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material_Ctwin_3333(k,l,m,n,j,i)=0.0_pReal
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Ctwin_3333(k,l,m,n)=0.0_pReal
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do p=1,3
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do q=1,3
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do r=1,3
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do s=1,3
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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)*&
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crystal_Qtwin(k,p,j,material_CrystalStructure(i))*&
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crystal_Qtwin(l,q,j,material_CrystalStructure(i))*&
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crystal_Qtwin(m,r,j,material_CrystalStructure(i))*&
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crystal_Qtwin(n,s,j,material_CrystalStructure(i))
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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)
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enddo
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enddo
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enddo
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@ -760,8 +807,8 @@ do i=1,material_maxN
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enddo
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enddo
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enddo
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!* Mapping back to 66-formulation of the matices
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material_Ctwin_66(:,:,j,i) = math_Mandel3333to66(material_Ctwin_3333(:,:,:,:,j,i))
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!* Mapping back to 66-format of the matrices
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material_Ctwin_66(:,:,j,i) = math_Mandel3333to66(Ctwin_3333)
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enddo
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enddo
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@ -801,19 +848,19 @@ implicit none
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!* Definition of variables
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integer(pInt) ipc,ip,el
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integer(pInt) matID,i
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integer(pInt) matID,i,startIdxTwin
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real(pReal), dimension(6,6) :: constitutive_homogenizedC
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real(pReal), dimension(constitutive_Nstatevars(ipc,ip,el)) :: state
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!* Get the material-ID from the triplet(ipc,ip,el)
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matID = constitutive_matID(ipc,ip,el)
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startIdxTwin = material_Nslip(matID)
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!* Homogenization scheme
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constitutive_homogenizedC=(1-sum(state((material_Nslip(matID)+1):(material_Nslip(matID)+material_Ntwin(matID)))))*&
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material_Cslip_66(:,:,constitutive_matID(ipc,ip,el))
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constitutive_homogenizedC=(1-sum(state((startIdxTwin+1):(startIdxTwin+material_Ntwin(matID)))))*&
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material_Cslip_66(:,:,matID)
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do i=1,material_Ntwin(matID)
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constitutive_homogenizedC=constitutive_homogenizedC+state((material_Nslip(matID)+i))*&
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material_Ctwin_66(:,:,i,constitutive_matID(ipc,ip,el))
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constitutive_homogenizedC=constitutive_homogenizedC+state(startIdxTwin+i)*material_Ctwin_66(:,:,i,matID)
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enddo
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return
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@ -837,14 +884,15 @@ implicit none
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!* Definition of variables
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integer(pInt) ipc,ip,el
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integer(pInt) matID,i,j
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real(pReal) Tp,inv_intertwin_length,twin_mfp
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integer(pInt) matID,i,j,startIdxTwin
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real(pReal) Tp,Ftwin
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real(pReal), dimension(constitutive_Nstatevars(ipc,ip,el)) :: state
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!* Get the material-ID from the triplet(ipc,ip,el)
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matID = constitutive_matID(ipc,ip,el)
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startIdxTwin = material_Nslip(matID)
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!* Quantities derivated from state - slip
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!* Quantities derived from state - slip
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constitutive_rho_f=matmul(constitutive_Pforest (1:material_Nslip(matID),1:material_Nslip(matID),matID),state)
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constitutive_rho_p=matmul(constitutive_Pparallel(1:material_Nslip(matID),1:material_Nslip(matID),matID),state)
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do i=1,material_Nslip(matID)
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@ -860,17 +908,18 @@ do i=1,material_Nslip(matID)
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(Kb*Tp))
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enddo
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!* Quantities derivated from state - twin
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!* Quantities derived from state - twin
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Ftwin = sum(state((startIdxTwin+1):(startIdxTwin+material_Ntwin(matID))))
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do i=1,material_Ntwin(matID)
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!* Inverse of the average distance between 2 twins of the same familly
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inv_intertwin_length=0.0_pReal
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constitutive_inv_intertwin_len(i)=0.0_pReal
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do j=1,material_Ntwin(matID)
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inv_intertwin_length=inv_intertwin_length+(crystal_TwinIntType(i,j,material_CrystalStructure(matID))*&
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state((material_Nslip(matID)+j)))/(2.0_pReal*material_StackSize(matID)*&
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(1.0_pReal-(1-sum(state((material_Nslip(matID)+1):(material_Nslip(matID)+material_Ntwin(matID)))))))
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constitutive_inv_intertwin_len(i)=constitutive_inv_intertwin_len(i)+&
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(crystal_TwinIntType(i,j,material_CrystalStructure(matID))*state(startIdxTwin+j))/&
|
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(2.0_pReal*material_StackSize(matID)*(1.0_pReal-Ftwin))
|
||||
enddo
|
||||
twin_mfp=(1.0_pReal)/((1.0_pReal/material_GrainSize(matID))+inv_intertwin_length)
|
||||
constitutive_twin_volume(i)=(pi/6.0_pReal)*material_StackSize(matID)*twin_mfp**2.0_pReal
|
||||
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)*constitutive_twin_mfp(i)**2.0_pReal
|
||||
enddo
|
||||
|
||||
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) *
|
||||
!*********************************************************************
|
||||
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
|
||||
|
||||
!* Definition of variables
|
||||
integer(pInt) ipc,ip,el
|
||||
integer(pInt) matID,i,k,l,m,n
|
||||
real(pReal) Tp
|
||||
integer(pInt) matID,startIdxTwin,i,j,k,l,m,n
|
||||
real(pReal) Tp,Ftwin
|
||||
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(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)
|
||||
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
|
||||
do i=1,material_Nslip(matID)
|
||||
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))*&
|
||||
sign(1.0_pReal,tau_slip(i))
|
||||
Lp=Lp+gdot_slip(i)*crystal_Sslip(:,:,i,material_CrystalStructure(matID))
|
||||
constitutive_tau_slip(i)=dot_product(Tstar_v,crystal_Sslip_v(:,i,material_CrystalStructure(matID)))
|
||||
constitutive_gdot_slip(i)=constitutive_g0_slip(i)*sinh((abs(constitutive_tau_slip(i))*&
|
||||
constitutive_activation_volume(i))/(Kb*Tp))*sign(1.0_pReal,constitutive_tau_slip(i))
|
||||
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
|
||||
|
||||
!* Lp twin
|
||||
|
||||
!* Calculation of the tangent of Lp
|
||||
dLp_dTstar=0.0_pReal
|
||||
do i=1,material_Nslip(matID)
|
||||
dgdot_dtauslip(i)=((constitutive_g0_slip(i)*constitutive_activation_volume(i))/(Kb*Tp))*&
|
||||
cosh((abs(tau_slip(i))*constitutive_activation_volume(i))/(Kb*Tp))
|
||||
Sslip = crystal_Sslip(:,:,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)+ &
|
||||
dgdot_dtauslip(i)*crystal_Sslip(k,l,i,material_CrystalStructure(matID))* &
|
||||
(crystal_Sslip(m,n,i,material_CrystalStructure(matID))+ &
|
||||
crystal_Sslip(n,m,i,material_CrystalStructure(matID)))/2.0_pReal ! force m,n symmetry
|
||||
(1-Ftwin)*constitutive_dgdot_dtauslip(i)*Sslip(k,l)*(Sslip(m,n)+Sslip(n,m))/2.0_pReal !force m,n symmetry
|
||||
endforall
|
||||
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
|
||||
end subroutine
|
||||
|
|
@ -957,21 +1055,27 @@ implicit none
|
|||
!* Definition of variables
|
||||
integer(pInt) ipc,ip,el
|
||||
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(constitutive_Nstatevars(ipc,ip,el)) :: constitutive_dotState,state
|
||||
|
||||
!* Get the material-ID from the triplet(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
|
||||
do i=1,material_Nslip(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))*&
|
||||
sign(1.0_pReal,tau_slip)
|
||||
lock=(material_c4(matID)*sqrt(constitutive_rho_f(i))*abs(gdot_slip))/material_bg(matID)
|
||||
recovery=material_c5(matID)*state(i)*abs(gdot_slip)
|
||||
constitutive_dotState(i)=lock-recovery
|
||||
constitutive_locks(i)=(sqrt(constitutive_rho_f(i))*abs(gdot_slip))/(material_c4(matID)*material_bg(matID))
|
||||
constitutive_grainboundaries(i)=(abs(gdot_slip))/(material_c5(matID)*material_bg(matID)*material_GrainSize(matID))
|
||||
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
|
||||
|
||||
return
|
||||
|
|
@ -989,6 +1093,7 @@ function constitutive_post_results(Tstar_v,state,dt,Tp,ipc,ip,el)
|
|||
!* - ipc : component-ID of current integration point *
|
||||
!* - ip : current integration point *
|
||||
!* - el : current element *
|
||||
!* constitutive_Nresults has to be set accordingly in _Assignment *
|
||||
!*********************************************************************
|
||||
use prec, only: pReal,pInt
|
||||
use crystal, only: crystal_Sslip_v
|
||||
|
|
|
|||
|
|
@ -525,6 +525,7 @@ do i=1,material_maxN
|
|||
material_Cslip_66(6,6,i)=0.5_pReal*(material_C11(i)-material_C12(i))
|
||||
end select
|
||||
material_Cslip_66(:,:,i) = math_Mandel3333to66(math_Voigt66to3333(material_Cslip_66(:,:,i)))
|
||||
! Check
|
||||
enddo
|
||||
|
||||
|
||||
|
|
@ -766,7 +767,8 @@ real(pReal) Temperature
|
|||
real(pReal), dimension(6) :: Tstar_v
|
||||
real(pReal), dimension(3,3) :: Lp
|
||||
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)
|
||||
matID = constitutive_matID(ipc,ip,el)
|
||||
|
|
|
|||
|
|
@ -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_tt
|
||||
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
|
||||
integer(pInt), dimension(crystal_MaxMaxNslipOfStructure,crystal_MaxMaxNslipOfStructure,crystal_MaxCrystalStructure) :: &
|
||||
crystal_SlipIntType
|
||||
!* Twin-twin interaction matrices
|
||||
integer(pInt), dimension(crystal_MaxMaxNtwinOfStructure,crystal_MaxMaxNtwinOfStructure,crystal_MaxCrystalStructure) :: &
|
||||
crystal_TwinIntType
|
||||
|
||||
!*** Slip systems for FCC structures (1) ***
|
||||
!* 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(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) ***
|
||||
!* System {110}<111>
|
||||
!* 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) ***
|
||||
!* System {112}<111>
|
||||
!* Sort?
|
||||
!* MISSING
|
||||
!* MISSING: not implemented yet
|
||||
|
||||
!*** 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/
|
||||
|
|
@ -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(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) ***
|
||||
!* Basal systems {0001}<1120> (independent of c/a-ratio)
|
||||
!* 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(:,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>
|
||||
!* Sort?
|
||||
!* MISSING
|
||||
!* MISSING: not implemented yet
|
||||
|
||||
!*** 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/
|
||||
|
|
@ -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(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
|
||||
!****************************************
|
||||
|
|
@ -281,7 +305,7 @@ subroutine crystal_SchmidMatrices()
|
|||
!* Calculation of Schmid matrices *
|
||||
!**************************************
|
||||
use prec, only: pReal,pInt
|
||||
use math, only: math_identity2nd
|
||||
use math, only: math_I3
|
||||
implicit none
|
||||
|
||||
!* Definition of variables
|
||||
|
|
@ -315,13 +339,13 @@ do l=1,crystal_MaxCrystalStructure
|
|||
enddo
|
||||
|
||||
!* 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)
|
||||
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(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
|
||||
crystal_Qtwin(:,:,k,l)=-math_identity2nd(3)
|
||||
crystal_Qtwin(:,:,k,l)=-math_I3
|
||||
forall (i=1:3,j=1:3)
|
||||
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)
|
||||
|
|
|
|||
|
|
@ -36,14 +36,26 @@ c2 2.0
|
|||
# Activation volume adjustment
|
||||
c3 0.4
|
||||
# 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
|
||||
c5 10.0
|
||||
c7 10.0
|
||||
# Dislocation interaction coefficients
|
||||
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
|
||||
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>
|
||||
[cube SX]
|
||||
|
|
|
|||
Loading…
Reference in New Issue