_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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@ -44,7 +102,7 @@ integer(pInt), parameter :: constitutive_MaxCrystalStructure = 3
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integer(pInt), dimension(constitutive_MaxCrystalStructure), parameter :: constitutive_MaxNslipOfStructure = &
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reshape((/12,48,12/),(/constitutive_MaxCrystalStructure/))
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!* Maximum number of slip systems over crystal structures
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integer(pInt), parameter :: constitutive_MaxMaxNslipOfStructure = 48
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integer(pInt), parameter :: constitutive_MaxMaxNslipOfStructure = 48
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!* Slip direction, slip normales and Schmid matrices
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real(pReal), dimension(3,3,constitutive_MaxMaxNslipOfStructure,constitutive_MaxCrystalStructure) :: constitutive_Sslip
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real(pReal), dimension(6,constitutive_MaxMaxNslipOfStructure,constitutive_MaxCrystalStructure) :: constitutive_Sslip_v
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@ -159,85 +217,17 @@ 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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CONTAINS
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!****************************************
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!* - constitutive_Init
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!* - constitutive_SchmidMatrices
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@ -253,97 +243,92 @@ CONTAINS
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!* - consistutive_DotState
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!****************************************
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subroutine constitutive_Init()
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subroutine constitutive_Init()
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!**************************************
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!* Module initialization *
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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_Assignment()
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end subroutine
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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(mattexFile)
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call constitutive_Assignment()
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end subroutine
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subroutine constitutive_SchmidMatrices()
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subroutine constitutive_SchmidMatrices()
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!**************************************
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!* Calculation of Schmid matrices *
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!**************************************
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use prec, only: pReal,pInt
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implicit none
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!**************************************
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use prec, only: pReal,pInt
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implicit none
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!* Definition of variables
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integer(pInt) i,j,k,l
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real(pReal) invNorm
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!* Definition of variables
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integer(pInt) i,j,k,l
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real(pReal) invNorm
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!* Iteration over the crystal structures
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!* Iteration over the crystal structures
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do l=1,3
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!* Iteration over the systems
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!* Iteration over the systems
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do k=1,constitutive_MaxNslipOfStructure(l)
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!* Defintion of Schmid matrix
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!* Defintion of Schmid matrix
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forall (i=1:3,j=1:3)
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constitutive_Sslip(i,j,k,l)=constitutive_sd(i,k,l)*constitutive_sn(j,k,l)
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constitutive_Sslip(i,j,k,l)=constitutive_sd(i,k,l)*constitutive_sn(j,k,l)
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endforall
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!* Normalization of Schmid matrix
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!* Normalization of Schmid matrix
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invNorm=dsqrt(1.0_pReal/((constitutive_sn(1,k,l)**2+constitutive_sn(2,k,l)**2+constitutive_sn(3,k,l)**2)*&
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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_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(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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!* be compatible with Mandel notation of Tstar
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constitutive_Sslip_v(4,k,l)=(constitutive_Sslip(1,2,k,l)+constitutive_Sslip(2,1,k,l))/dsqrt(2.0_pReal)
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constitutive_Sslip_v(5,k,l)=(constitutive_Sslip(2,3,k,l)+constitutive_Sslip(3,3,k,l))/dsqrt(2.0_pReal)
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constitutive_Sslip_v(6,k,l)=(constitutive_Sslip(1,3,k,l)+constitutive_Sslip(3,1,k,l))/dsqrt(2.0_pReal)
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enddo
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!* be compatible with Mandel notation of Tstar
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constitutive_Sslip_v(4,k,l)=(constitutive_Sslip(1,2,k,l)+constitutive_Sslip(2,1,k,l))/dsqrt(2.0_pReal)
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constitutive_Sslip_v(5,k,l)=(constitutive_Sslip(2,3,k,l)+constitutive_Sslip(3,3,k,l))/dsqrt(2.0_pReal)
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constitutive_Sslip_v(6,k,l)=(constitutive_Sslip(1,3,k,l)+constitutive_Sslip(3,1,k,l))/dsqrt(2.0_pReal)
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enddo
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enddo
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end subroutine
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subroutine constitutive_HardeningMatrices()
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subroutine constitutive_HardeningMatrices()
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!****************************************
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!* Hardening matrix (see Kalidindi) *
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!****************************************
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use prec, only: pReal,pInt
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implicit none
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!****************************************
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use prec, only: pReal,pInt
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implicit none
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!* Definition of variables
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integer(pInt) i,j,k,l
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!* Definition of variables
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integer(pInt) i,j,k,l
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!* Initialization of the hardening matrix
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constitutive_HardeningMatrix=constitutive_LatentHardening
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!* Iteration over the crystal structures
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do l=1,3
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select case(l)
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!* Hardening matrix for FCC structures
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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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end select
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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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end subroutine
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@ -616,12 +601,12 @@ enddo
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end function
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subroutine constitutive_Parse_MatTexDat(filename)
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subroutine constitutive_Parse_MatTexDat(filename)
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!*********************************************************************
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!* This function reads the material and texture input file *
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!* INPUT: *
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!* - filename : name of input file *
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!*********************************************************************
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!*********************************************************************
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use prec, only: pReal,pInt
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use IO, only: IO_error
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use math, only: math_Mandel3333to66, math_Voigt66to3333
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@ -705,7 +690,7 @@ do while (part/='')
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end select
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enddo
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close(1)
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!* Construction of the elasticity matrices
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do i=1,material_maxN
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@ -734,12 +719,12 @@ do i=1,material_maxN
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end select
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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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! if ODFfile present then set NGauss NFiber =0
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return
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100 call IO_error(110) ! corrupt materials_textures file
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! if ODFfile present then set NGauss NFiber =0
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return
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100 call IO_error(110) ! corrupt materials_textures file
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end subroutine
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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
|
||||
|
|
@ -825,14 +810,14 @@ allocate(constitutive_state_new(constitutive_maxNstatevars,constitutive_maxNgrai
|
|||
constitutive_state_new=0.0_pReal
|
||||
allocate(constitutive_Nresults(constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems)) ; constitutive_Nresults=0_pInt
|
||||
|
||||
!* Assignment
|
||||
!* Assignment of all grains in all IPs of all cp-elements
|
||||
do e=1,mesh_NcpElems
|
||||
matID=mesh_element(3,e)
|
||||
texID=mesh_element(4,e)
|
||||
do i=1,FE_Nips(FE_mapElemtype(mesh_element(2,e)))
|
||||
g = 0_pInt ! grain counter
|
||||
g = 0_pInt ! grain counter
|
||||
do m = 1,multiplicity(texID)
|
||||
o = 0_pInt
|
||||
o = 0_pInt ! component counter
|
||||
if (texture_ODFfile(texID)=='') then
|
||||
do k = 1,texture_nGauss(texID) ! *** gauss ***
|
||||
o = o+1
|
||||
|
|
@ -849,8 +834,8 @@ do e=1,mesh_NcpElems
|
|||
Euler(:,o) = math_sampleRandomOri()
|
||||
texVolfrac(o) = 1.0_pReal-sumVolfrac(texID)
|
||||
enddo
|
||||
else ! hybrid IA
|
||||
o = 1 ! only singular orientation
|
||||
else ! *** hybrid IA ***
|
||||
o = 1 ! only singular orientation, i.e. single "component"
|
||||
Euler(:,o) = hybridIA_population(:,1+sampleCount(texID),ODFmap(texID))
|
||||
texVolfrac(o) = 1.0_pReal
|
||||
endif
|
||||
|
|
@ -868,12 +853,13 @@ do e=1,mesh_NcpElems
|
|||
constitutive_texID(g,i,e) = texID ! copy texID of element
|
||||
constitutive_MatVolFrac(g,i,e) = 1.0_pReal ! singular material (so far)
|
||||
constitutive_TexVolFrac(g,i,e) = texVolfrac(s)/multiplicity(texID)/Nsym(texID)
|
||||
CPFEM_Fp_old(:,:,g,i,e) = math_EulerToR(Euler(:,s)) ! set plastic deformation gradient at t_0
|
||||
constitutive_Nstatevars(g,i,e) = material_Nslip(matID) ! number of state variables (i.e. tau_c of each slip system)
|
||||
CPFEM_Fp_old(:,:,g,i,e) = math_EulerToR(Euler(:,s)) ! set plastic deformation gradient at t_0
|
||||
forall (l=1:constitutive_Nstatevars(g,i,e)) ! initialize state variables
|
||||
constitutive_state_old(l,g,i,e) = material_s0_slip(matID)
|
||||
constitutive_state_new(l,g,i,e) = material_s0_slip(matID)
|
||||
end forall
|
||||
enddo
|
||||
enddo ! components
|
||||
enddo ! multiplicity
|
||||
enddo ! ip
|
||||
enddo ! cp_element
|
||||
|
|
@ -904,101 +890,99 @@ return
|
|||
end function
|
||||
|
||||
|
||||
subroutine constitutive_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,ipc,ip,el)
|
||||
subroutine constitutive_LpAndItsTangent(Lp,dLp_dTstar, Tstar_v,state,ipc,ip,el)
|
||||
!*********************************************************************
|
||||
!* This subroutine contains the constitutive equation for *
|
||||
!* calculating the velocity gradient *
|
||||
!* INPUT: *
|
||||
!* - Tstar_v : 2nd Piola Kirchhoff stress tensor (Mandel) *
|
||||
!* - state : current microstructure *
|
||||
!* - ipc : component-ID of current integration point *
|
||||
!* - ip : current integration point *
|
||||
!* - el : current element *
|
||||
!* OUTPUT: *
|
||||
!* - Lp : plastic velocity gradient *
|
||||
!* - dLp_dTstar : derivative of Lp (4th-order tensor) *
|
||||
!*********************************************************************
|
||||
!*********************************************************************
|
||||
use prec, only: pReal,pInt
|
||||
implicit none
|
||||
implicit none
|
||||
|
||||
!* Definition of variables
|
||||
integer(pInt) ipc,ip,el
|
||||
integer(pInt) matID,i,k,l,m,n
|
||||
integer(pInt) matID,i,k,l,m,n
|
||||
real(pReal) Tstar_v(6)
|
||||
real(pReal) Lp(3,3)
|
||||
real(pReal) dLp_dTstar(3,3,3,3)
|
||||
real(pReal), dimension(constitutive_matID(ipc,ip,el)) :: gdot_slip
|
||||
real(pReal), dimension(constitutive_matID(ipc,ip,el)) :: dgdot_dtauslip
|
||||
real(preal), dimension(constitutive_matID(ipc,ip,el)) :: tau_slip
|
||||
|
||||
real(pReal), dimension(constitutive_Nstatevars(ipc,ip,el)) :: state,gdot_slip,dgdot_dtauslip,tau_slip
|
||||
|
||||
!* Get the material-ID from the triplet(ipc,ip,el)
|
||||
matID=constitutive_matID(ipc,ip,el)
|
||||
matID = constitutive_matID(ipc,ip,el)
|
||||
|
||||
!* Calculation of Lp
|
||||
Lp=0.0_pReal
|
||||
Lp = 0.0_pReal
|
||||
do i=1,material_Nslip(matID)
|
||||
tau_slip(i)=dot_product(Tstar_v,constitutive_Sslip_v(:,i,material_CrystalStructure(matID)))
|
||||
gdot_slip(i)=material_gdot0_slip(matID)*(abs(tau_slip(i))/constitutive_state_new(i,ipc,ip,el))**&
|
||||
gdot_slip(i)=material_gdot0_slip(matID)*(abs(tau_slip(i))/state(i))**&
|
||||
material_n_slip(matID)*sign(1.0_pReal,tau_slip(i))
|
||||
Lp=Lp+gdot_slip(i)*constitutive_Sslip(:,:,i,material_CrystalStructure(matID))
|
||||
enddo
|
||||
|
||||
!* Calculation of the tangent of Lp
|
||||
dLp_dTstar=0.0_pReal
|
||||
dLp_dTstar=0.0_pReal
|
||||
do i=1,material_Nslip(matID)
|
||||
dgdot_dtauslip(i)=material_gdot0_slip(matID)*(abs(tau_slip(i))/constitutive_state_new(i,ipc,ip,el))**&
|
||||
dgdot_dtauslip(i)=material_gdot0_slip(matID)*(abs(tau_slip(i))/state(i))**&
|
||||
(material_n_slip(matID)-1.0_pReal)*material_n_slip(matID)/constitutive_state_new(i,ipc,ip,el)
|
||||
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)+constitutive_Sslip(k,l,i,material_CrystalStructure(matID))*&
|
||||
constitutive_Sslip(m,n,i,material_CrystalStructure(matID))*dgdot_dtauslip(i)
|
||||
endforall
|
||||
enddo
|
||||
|
||||
return
|
||||
end subroutine
|
||||
|
||||
|
||||
function constitutive_DotState(Tstar_v,ipc,ip,el)
|
||||
return
|
||||
end subroutine
|
||||
|
||||
|
||||
function constitutive_DotState(Tstar_v,state,ipc,ip,el)
|
||||
!*********************************************************************
|
||||
!* This subroutine contains the constitutive equation for *
|
||||
!* calculating the velocity gradient *
|
||||
!* INPUT: *
|
||||
!* - Tstar_v : 2nd Piola Kirchhoff stress tensor (Mandel) *
|
||||
!* - state : current microstructure *
|
||||
!* - ipc : component-ID of current integration point *
|
||||
!* - ip : current integration point *
|
||||
!* - el : current element *
|
||||
!* OUTPUT: *
|
||||
!* - constitutive_DotState : evolution of state variable *
|
||||
!*********************************************************************
|
||||
!*********************************************************************
|
||||
use prec, only: pReal,pInt
|
||||
implicit none
|
||||
|
||||
!* Definition of variables
|
||||
integer(pInt) ipc,ip,el
|
||||
integer(pInt) matID,i
|
||||
real(pReal) Tstar_v(6)
|
||||
real(pReal), dimension(constitutive_matID(ipc,ip,el)) :: constitutive_DotState
|
||||
real(pReal), dimension(constitutive_matID(ipc,ip,el)) :: gdot_slip
|
||||
real(pReal), dimension(constitutive_matID(ipc,ip,el)) :: tau_slip
|
||||
real(pReal), dimension(constitutive_matID(ipc,ip,el)) :: self_hardening
|
||||
integer(pInt) matID,i
|
||||
real(pReal), dimension(6) :: Tstar_v
|
||||
real(pReal), dimension(constitutive_Nstatevars(ipc,ip,el)) :: constitutive_DotState,&
|
||||
state,gdot_slip,tau_slip,self_hardening
|
||||
|
||||
!* Get the material-ID from the triplet(ipc,ip,el)
|
||||
matID=constitutive_matID(ipc,ip,el)
|
||||
matID = constitutive_matID(ipc,ip,el)
|
||||
|
||||
!* Self-Hardening of each system
|
||||
do i=1,constitutive_Nstatevars(ipc,ip,el)
|
||||
tau_slip(i)=dot_product(Tstar_v,constitutive_Sslip_v(:,i,material_CrystalStructure(matID)))
|
||||
gdot_slip(i)=material_gdot0_slip(matID)*(abs(tau_slip(i))/constitutive_state_new(i,ipc,ip,el))**&
|
||||
gdot_slip(i)=material_gdot0_slip(matID)*(abs(tau_slip(i))/state(i))**&
|
||||
material_n_slip(matID)*sign(1.0_pReal,tau_slip(i))
|
||||
self_hardening(i)=material_h0(matID)*(1.0_pReal-constitutive_state_new(i,ipc,ip,el)/&
|
||||
self_hardening(i)=material_h0(matID)*(1.0_pReal-state(i)/&
|
||||
material_s_sat(matID))**material_w0(matID)*abs(gdot_slip(i))
|
||||
enddo
|
||||
|
||||
!* Hardening for all systems
|
||||
constitutive_DotState=matmul(constitutive_HardeningMatrix(1:material_Nslip(matID),1:material_Nslip(matID),&
|
||||
material_CrystalStructure(matID)),self_hardening)
|
||||
|
||||
return
|
||||
end function
|
||||
|
||||
|
||||
END MODULE
|
||||
|
||||
return
|
||||
end function
|
||||
|
||||
|
||||
END MODULE
|
||||
|
|
|
|||
Loading…
Reference in New Issue