_Lp and _dotState now explicitely depends on given state
This commit is contained in:
Philip Eisenlohr
parent
df3f327ece
commit
e1f2daf753
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@ -18,24 +18,82 @@ MODULE constitutive
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use prec, only: pReal,pInt
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implicit none
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! MISSING this should be outsourced to FEM-spec???????
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! *** Transformation to get the MARC order ***
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! *** 11,22,33,12,23,13 ***
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!temp=Cslip_66(4,:)
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!Cslip_66(4,:)=Cslip_66(6,:)
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!Cslip_66(6,:)=Cslip_66(5,:)
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!Cslip_66(5,:)=temp
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!temp=Cslip_66(:,4)
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!Cslip_66(:,4)=2.0d0*Cslip_66(:,6)
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!Cslip_66(:,6)=2.0d0*Cslip_66(:,5)
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!Cslip_66(:,5)=2.0d0*temp
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! MISSING consistency check after reading 'mattex.mpie'
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! MISSING Euler angles from texture parameters
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! MISSING initialization of CPFEM_Fp_old
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character(len=300), parameter :: mattexFile = 'mattex.mpie'
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!*************************************
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!* Definition of material properties *
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!*************************************
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!* Number of materials
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integer(pInt) material_maxN
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!* Crystal structure and number of selected slip systems per material
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integer(pInt), dimension(:) , allocatable :: material_CrystalStructure
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integer(pInt), dimension(:) , allocatable :: material_Nslip
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!* Maximum number of selected slip systems over materials
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integer(pInt) material_maxNslip
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!* Elastic constants and matrices
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real(pReal), dimension(:) , allocatable :: material_C11
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real(pReal), dimension(:) , allocatable :: material_C12
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real(pReal), dimension(:) , allocatable :: material_C13
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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_Cslip_66
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!* Visco-plastic material parameters
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real(pReal), dimension(:) , allocatable :: material_s0_slip
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real(pReal), dimension(:) , allocatable :: material_gdot0_slip
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real(pReal), dimension(:) , allocatable :: material_n_slip
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real(pReal), dimension(:) , allocatable :: material_h0
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real(pReal), dimension(:) , allocatable :: material_s_sat
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real(pReal), dimension(:) , allocatable :: material_w0
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!************************************
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!* Definition of texture properties *
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!************************************
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!* Number of textures, maximum number of Gauss and Fiber components
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integer(pInt) texture_maxN
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integer(pInt) texture_maxNGauss
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integer(pInt) texture_maxNFiber
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!* Textures definition
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character(len=80), dimension(:), allocatable :: texture_ODFfile
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character(len=80), dimension(:), allocatable :: texture_symmetry
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integer(pInt), dimension(:) , allocatable :: texture_Ngrains
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integer(pInt), dimension(:) , allocatable :: texture_NGauss
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integer(pInt),dimension(:) , allocatable :: texture_NFiber
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integer(pInt),dimension(:) , allocatable :: texture_NRandom
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integer(pInt),dimension(:) , allocatable :: texture_totalNgrains
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real(pReal), dimension(:,:,:) , allocatable :: texture_Gauss
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real(pReal), dimension(:,:,:) , allocatable :: texture_Fiber
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real(pReal), dimension(:,:,:,:), allocatable :: constitutive_EulerAngles
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!************************************
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!* Grains *
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!************************************
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integer(pInt) constitutive_maxNgrains
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integer(pInt), dimension(:,:) , allocatable :: constitutive_Ngrains
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integer(pInt), dimension(:,:,:) , allocatable :: constitutive_matID
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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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!* State variables *
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!************************************
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integer(pInt) constitutive_maxNstatevars
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integer(pInt), dimension(:,:,:), allocatable :: constitutive_Nstatevars
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real(pReal), dimension(:,:,:,:), allocatable :: constitutive_state_old
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real(pReal), dimension(:,:,:,:), allocatable :: constitutive_state_new
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!************************************
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!* Results *
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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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!* MISSING : allocation
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!***********************************************
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!* Definition of crystal structures properties *
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!* Crystal structures *
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!***********************************************
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!* Number of crystal structures (1-FCC,2-BCC,3-HCP)
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integer(pInt), parameter :: constitutive_MaxCrystalStructure = 3
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@ -159,83 +217,15 @@ data constitutive_sd(:,10,3)/-1, 0, 0/ ; data constitutive_sn(:,10,3)/ 1, 0, 1/
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data constitutive_sd(:,11,3)/ 0,-1, 0/ ; data constitutive_sn(:,11,3)/-1, 1, 1/
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data constitutive_sd(:,12,3)/ 1, 1, 0/ ; data constitutive_sn(:,12,3)/ 1,-1, 1/
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!* Slip-slip interactions matrices
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!***********************************************
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!* slip-slip interaction *
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!***********************************************
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!* (defined for the moment as crystal structure property and not as material property)
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!* (may be changed in the future)
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real(pReal), dimension(constitutive_MaxMaxNslipOfStructure,constitutive_MaxMaxNslipOfStructure,&
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constitutive_MaxCrystalStructure) :: constitutive_HardeningMatrix
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real(pReal), parameter :: constitutive_LatentHardening=1.4_pReal
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!*************************************
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!* Definition of material properties *
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!*************************************
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!* Number of materials
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integer(pInt) material_maxN
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!* Crystal structure and number of selected slip systems per material
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integer(pInt), dimension(:) , allocatable :: material_CrystalStructure
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integer(pInt), dimension(:) , allocatable :: material_Nslip
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!* Maximum number of selected slip systems over materials
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integer(pInt) material_MaxNslip
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!* Elastic constants and matrices
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real(pReal), dimension(:) , allocatable :: material_C11
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real(pReal), dimension(:) , allocatable :: material_C12
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real(pReal), dimension(:) , allocatable :: material_C13
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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_Cslip_66
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!* Visco-plastic material parameters
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real(pReal), dimension(:) , allocatable :: material_s0_slip
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real(pReal), dimension(:) , allocatable :: material_gdot0_slip
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real(pReal), dimension(:) , allocatable :: material_n_slip
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real(pReal), dimension(:) , allocatable :: material_h0
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real(pReal), dimension(:) , allocatable :: material_s_sat
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real(pReal), dimension(:) , allocatable :: material_w0
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!************************************
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!* Definition of texture properties *
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!************************************
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!* Number of textures, maximum number of Gauss and Fiber components
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integer(pInt) texture_maxN
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integer(pInt) texture_maxNGauss
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integer(pInt) texture_maxNFiber
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!* Textures definition
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character(len=80), dimension(:), allocatable :: texture_ODFfile
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character(len=80), dimension(:), allocatable :: texture_symmetry
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integer(pInt), dimension(:) , allocatable :: texture_Ngrains
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integer(pInt), dimension(:) , allocatable :: texture_NGauss
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integer(pInt),dimension(:) , allocatable :: texture_NFiber
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integer(pInt),dimension(:) , allocatable :: texture_NRandom
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integer(pInt),dimension(:) , allocatable :: texture_totalNgrains
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real(pReal), dimension(:,:,:) , allocatable :: texture_Gauss
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real(pReal), dimension(:,:,:) , allocatable :: texture_Fiber
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real(pReal), dimension(:,:,:,:), allocatable :: constitutive_EulerAngles
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!************************************
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!* State variables *
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!************************************
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integer(pInt) constitutive_maxNstatevars
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integer(pInt), dimension(:,:,:), allocatable :: constitutive_Nstatevars
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real(pReal), dimension(:,:,:,:), allocatable :: constitutive_state_old
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real(pReal), dimension(:,:,:,:), allocatable :: constitutive_state_new
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!************************************
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!* Results *
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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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!* IS MISSING : allocation
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!************************************
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!* Other *
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!************************************
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integer(pInt) constitutive_maxNgrains
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integer(pInt), dimension(:,:) , allocatable :: constitutive_Ngrains
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integer(pInt), dimension(:,:,:) , allocatable :: constitutive_matID
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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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CONTAINS
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!****************************************
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@ -260,7 +250,7 @@ subroutine constitutive_Init()
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!**************************************
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call constitutive_SchmidMatrices()
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call constitutive_HardeningMatrices()
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call constitutive_Parse_MatTexDat('mattex.mpie')
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call constitutive_Parse_MatTexDat(mattexFile)
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call constitutive_Assignment()
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end subroutine
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@ -289,7 +279,6 @@ do l=1,3
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(constitutive_sd(1,k,l)**2+constitutive_sd(2,k,l)**2+constitutive_sd(3,k,l)**2)))
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constitutive_Sslip(:,:,k,l)=constitutive_Sslip(:,:,k,l)*invNorm
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!* Vectorization of normalized Schmid matrix
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!* according MARC component order 11,22,33,12,23,13
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constitutive_Sslip_v(1,k,l)=constitutive_Sslip(1,1,k,l)
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constitutive_Sslip_v(2,k,l)=constitutive_Sslip(2,2,k,l)
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constitutive_Sslip_v(3,k,l)=constitutive_Sslip(3,3,k,l)
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@ -320,29 +309,25 @@ do l=1,3
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select case(l)
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!* Hardening matrix for FCC structures
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case (1)
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do k=1,10,3
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forall (i=1:3,j=1:3)
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constitutive_HardeningMatrix(k-1+i,k-1+j,l)=1.0_pReal
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forall (k=1:10:3,i=0:2,j=0:2)
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constitutive_HardeningMatrix(k+i,k+j,l)=1.0_pReal
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endforall
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enddo
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!* Hardening matrix for BCC structures
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case (2)
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do k=1,11,2
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forall (i=1:2,j=1:2)
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constitutive_HardeningMatrix(k-1+i,k-1+j,l)=1.0_pReal
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forall (k=1:11:2,i=0:1,j=0:1)
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constitutive_HardeningMatrix(k+i,k+j,l)=1.0_pReal
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endforall
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forall (k=13:48)
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constitutive_HardeningMatrix(k,k,l)=1.0_pReal
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endforall
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enddo
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do k=13,48
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constitutive_HardeningMatrix(k,k,l)=1.0_pReal
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enddo
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!* Hardening matrix for HCP structures
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case (3)
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forall (i=1:3,j=1:3)
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forall (i=1:3,j=1:3)
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constitutive_HardeningMatrix(i,j,l)=1.0_pReal
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endforall
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do k=4,12
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constitutive_HardeningMatrix(k,k,l)=1.0_pReal
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enddo
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endforall
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forall (k=4:12)
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constitutive_HardeningMatrix(k,k,l)=1.0_pReal
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endforall
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end select
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enddo
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@ -751,7 +736,7 @@ 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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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 CPFEM, only: CPFEM_Fp_old
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use CPFEM,only: CPFEM_Fp_old
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implicit none
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!* Definition of variables
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@ -825,14 +810,14 @@ allocate(constitutive_state_new(constitutive_maxNstatevars,constitutive_maxNgrai
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constitutive_state_new=0.0_pReal
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allocate(constitutive_Nresults(constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems)) ; constitutive_Nresults=0_pInt
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!* Assignment
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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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matID=mesh_element(3,e)
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texID=mesh_element(4,e)
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do i=1,FE_Nips(FE_mapElemtype(mesh_element(2,e)))
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g = 0_pInt ! grain counter
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g = 0_pInt ! grain counter
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do m = 1,multiplicity(texID)
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o = 0_pInt
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o = 0_pInt ! component counter
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if (texture_ODFfile(texID)=='') then
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do k = 1,texture_nGauss(texID) ! *** gauss ***
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o = o+1
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@ -849,8 +834,8 @@ do e=1,mesh_NcpElems
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Euler(:,o) = math_sampleRandomOri()
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texVolfrac(o) = 1.0_pReal-sumVolfrac(texID)
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enddo
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else ! hybrid IA
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o = 1 ! only singular orientation
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else ! *** hybrid IA ***
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o = 1 ! only singular orientation, i.e. single "component"
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Euler(:,o) = hybridIA_population(:,1+sampleCount(texID),ODFmap(texID))
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texVolfrac(o) = 1.0_pReal
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endif
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@ -868,12 +853,13 @@ do e=1,mesh_NcpElems
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constitutive_texID(g,i,e) = texID ! copy texID of element
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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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CPFEM_Fp_old(:,:,g,i,e) = math_EulerToR(Euler(:,s)) ! set plastic deformation gradient at t_0
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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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CPFEM_Fp_old(:,:,g,i,e) = math_EulerToR(Euler(:,s)) ! set plastic deformation gradient at t_0
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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_s0_slip(matID)
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constitutive_state_new(l,g,i,e) = material_s0_slip(matID)
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end forall
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enddo
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enddo ! components
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enddo ! multiplicity
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enddo ! ip
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enddo ! cp_element
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@ -904,12 +890,13 @@ return
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end function
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subroutine constitutive_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,ipc,ip,el)
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subroutine constitutive_LpAndItsTangent(Lp,dLp_dTstar, Tstar_v,state,ipc,ip,el)
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!*********************************************************************
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!* This subroutine contains the constitutive equation for *
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!* calculating the velocity gradient *
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!* INPUT: *
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!* - Tstar_v : 2nd Piola Kirchhoff stress tensor (Mandel) *
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!* - state : current microstructure *
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!* - ipc : component-ID of current integration point *
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!* - ip : current integration point *
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!* - el : current element *
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@ -926,18 +913,16 @@ integer(pInt) matID,i,k,l,m,n
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real(pReal) Tstar_v(6)
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real(pReal) Lp(3,3)
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real(pReal) dLp_dTstar(3,3,3,3)
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real(pReal), dimension(constitutive_matID(ipc,ip,el)) :: gdot_slip
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real(pReal), dimension(constitutive_matID(ipc,ip,el)) :: dgdot_dtauslip
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real(preal), dimension(constitutive_matID(ipc,ip,el)) :: tau_slip
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real(pReal), dimension(constitutive_Nstatevars(ipc,ip,el)) :: state,gdot_slip,dgdot_dtauslip,tau_slip
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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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matID = constitutive_matID(ipc,ip,el)
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!* Calculation of Lp
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Lp=0.0_pReal
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Lp = 0.0_pReal
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do i=1,material_Nslip(matID)
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tau_slip(i)=dot_product(Tstar_v,constitutive_Sslip_v(:,i,material_CrystalStructure(matID)))
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gdot_slip(i)=material_gdot0_slip(matID)*(abs(tau_slip(i))/constitutive_state_new(i,ipc,ip,el))**&
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gdot_slip(i)=material_gdot0_slip(matID)*(abs(tau_slip(i))/state(i))**&
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material_n_slip(matID)*sign(1.0_pReal,tau_slip(i))
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Lp=Lp+gdot_slip(i)*constitutive_Sslip(:,:,i,material_CrystalStructure(matID))
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enddo
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@ -945,7 +930,7 @@ enddo
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!* Calculation of the tangent of Lp
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dLp_dTstar=0.0_pReal
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do i=1,material_Nslip(matID)
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dgdot_dtauslip(i)=material_gdot0_slip(matID)*(abs(tau_slip(i))/constitutive_state_new(i,ipc,ip,el))**&
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dgdot_dtauslip(i)=material_gdot0_slip(matID)*(abs(tau_slip(i))/state(i))**&
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(material_n_slip(matID)-1.0_pReal)*material_n_slip(matID)/constitutive_state_new(i,ipc,ip,el)
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forall (k=1:3,l=1:3,m=1:3,n=1:3)
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dLp_dTstar(k,l,m,n)=dLp_dTstar(k,l,m,n)+constitutive_Sslip(k,l,i,material_CrystalStructure(matID))*&
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@ -957,12 +942,13 @@ return
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end subroutine
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function constitutive_DotState(Tstar_v,ipc,ip,el)
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function constitutive_DotState(Tstar_v,state,ipc,ip,el)
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!*********************************************************************
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!* This subroutine contains the constitutive equation for *
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!* calculating the velocity gradient *
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!* INPUT: *
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!* - Tstar_v : 2nd Piola Kirchhoff stress tensor (Mandel) *
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!* - state : current microstructure *
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!* - ipc : component-ID of current integration point *
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!* - ip : current integration point *
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!* - el : current element *
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@ -975,21 +961,19 @@ 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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real(pReal) Tstar_v(6)
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real(pReal), dimension(constitutive_matID(ipc,ip,el)) :: constitutive_DotState
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real(pReal), dimension(constitutive_matID(ipc,ip,el)) :: gdot_slip
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real(pReal), dimension(constitutive_matID(ipc,ip,el)) :: tau_slip
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real(pReal), dimension(constitutive_matID(ipc,ip,el)) :: self_hardening
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real(pReal), dimension(6) :: Tstar_v
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real(pReal), dimension(constitutive_Nstatevars(ipc,ip,el)) :: constitutive_DotState,&
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state,gdot_slip,tau_slip,self_hardening
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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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matID = constitutive_matID(ipc,ip,el)
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!* Self-Hardening of each system
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do i=1,constitutive_Nstatevars(ipc,ip,el)
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tau_slip(i)=dot_product(Tstar_v,constitutive_Sslip_v(:,i,material_CrystalStructure(matID)))
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gdot_slip(i)=material_gdot0_slip(matID)*(abs(tau_slip(i))/constitutive_state_new(i,ipc,ip,el))**&
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gdot_slip(i)=material_gdot0_slip(matID)*(abs(tau_slip(i))/state(i))**&
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material_n_slip(matID)*sign(1.0_pReal,tau_slip(i))
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self_hardening(i)=material_h0(matID)*(1.0_pReal-constitutive_state_new(i,ipc,ip,el)/&
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self_hardening(i)=material_h0(matID)*(1.0_pReal-state(i)/&
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material_s_sat(matID))**material_w0(matID)*abs(gdot_slip(i))
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enddo
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|
|
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Reference in New Issue