Added use of sample_Gauss, sample_Fiber, Sample_Radom
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@ -162,7 +162,8 @@ 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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!* (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,constitutive_MaxCrystalStructure) :: constitutive_HardeningMatrix
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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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@ -206,9 +207,7 @@ integer(pInt),dimension(:) , allocatable :: texture_NFiber
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integer(pInt),dimension(:) , allocatable :: texture_NRandom
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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_phi1
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real(pReal), dimension(:,:,:) , allocatable :: constitutive_phi
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real(pReal), dimension(:,:,:) , allocatable :: constitutive_phi2
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real(pReal), dimension(:,:,:,:), allocatable :: constitutive_EulerAngles
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!************************************
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!* State variables *
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@ -285,7 +284,8 @@ do l=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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endforall
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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)*(constitutive_sd(1,k,l)**2+constitutive_sd(2,k,l)**2+constitutive_sd(3,k,l)**2)))
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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_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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@ -787,12 +787,8 @@ allocate(constitutive_MatVolFrac(constitutive_maxNgrains,mesh_maxNips,mesh_NcpEl
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constitutive_MatVolFrac=0.0_pReal
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allocate(constitutive_TexVolFrac(constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems))
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constitutive_TexVolFrac=0.0_pReal
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allocate(constitutive_phi1(constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems))
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constitutive_phi1=0.0_pReal
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allocate(constitutive_phi(constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems))
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constitutive_phi=0.0_pReal
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allocate(constitutive_phi2(constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems))
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constitutive_phi2=0.0_pReal
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allocate(constitutive_EulerAngles(3,constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems))
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constitutive_EulerAngles=0.0_pReal
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!* State variables
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constitutive_maxNstatevars=material_maxNslip
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allocate(constitutive_Nstatevars(constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems))
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@ -822,14 +818,8 @@ do i=1,mesh_NcpElems
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constitutive_phi1(l,j,i)=texture_Gauss(1,k,texID)
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constitutive_phi(l,j,i)=texture_Gauss(2,k,texID)
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constitutive_phi2(l,j,i)=texture_Gauss(3,k,texID)
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! if (constitutive_phi1(l,j,i)==400*inRad) then
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! call math_halton_ori()
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! else
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! call math_gauss()
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! endif
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! constitutive_phi1(l,j,i)=texture_Gauss(1,k,mesh_element(4,i))
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! constitutive_phi(l,j,i)=texture_Gauss(2,k,mesh_element(4,i))
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! constitutive_phi2(l,j,i)=texture_Gauss(3,k,mesh_element(4,i))
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!* Use of sample_Gauss
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constitutive_EulerAngles(:,l,j,i)=sample_Gauss(texture_Gauss(1:3,k,texID),texture_Gauss(4.k,texID))
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enddo
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enddo
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!* Fiber component
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@ -839,9 +829,8 @@ do i=1,mesh_NcpElems
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constitutive_texID(l,j,i)=texID
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constitutive_MatVolFrac(l,j,i)=1.0_pReal
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constitutive_TexVolFrac(l,j,i)=texture_Fiber(6,k,texID)/multiplicity
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! constitutive_phi1(l,j,i)=texture_Fiber(1,k,mesh_element(4,i))
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! constitutive_phi(l,j,i)=texture_Fiber(2,k,mesh_element(4,i))
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! constitutive_phi2(l,j,i)=texture_Fiber(3,k,mesh_element(4,i))
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!* Use of sample_Fiber
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constitutive_EulerAngles(:,l,j,i)=sample_Fiber(texture_Fiber(1:4,k,texID),texture_Fiber(5,k,texID))
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enddo
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enddo
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!* Random component
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@ -851,14 +840,12 @@ do i=1,mesh_NcpElems
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constitutive_texID(l,j,i)=texID
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constitutive_MatVolFrac(l,j,i)=1.0_pReal
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constitutive_TexVolFrac(l,j,i)=(1.0_pReal-texture_Gauss(5,k,texID)-texture_Fiber(6,k,texID))/multiplicity
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! constitutive_phi1(l,j,i)=texture_Fiber(1,k,mesh_element(4,i))
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! constitutive_phi(l,j,i)=texture_Fiber(2,k,mesh_element(4,i))
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! constitutive_phi2(l,j,i)=texture_Fiber(3,k,mesh_element(4,i))
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constitutive_EulerAngles(:,l,j,i)=sample_Random()
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enddo
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enddo
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enddo
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enddo ! End of ip
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endif
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enddo
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enddo ! End of cp_element
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!* Initialization of state variables
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@ -948,16 +935,19 @@ Tstar_v(6)=Tstar_v_m(6)/dsqrt(2.0_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))**material_n_slip(matID)*sign(1.0_pReal,tau_slip(i))
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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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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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!* 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))**(material_n_slip(matID)-1.0_pReal)*material_n_slip(matID)/constitutive_state_new(i,ipc,ip,el)
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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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(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))*constitutive_Sslip(m,n,i,material_CrystalStructure(matID))*dgdot_dtauslip(i)
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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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constitutive_Sslip(m,n,i,material_CrystalStructure(matID))*dgdot_dtauslip(i)
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endforall
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enddo
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@ -1000,12 +990,15 @@ Tstar_v(6)=Tstar_v_m(6)/dsqrt(2.0_pReal)
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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))**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)/material_s_sat(matID))**material_w0(matID)*abs(gdot_slip(i))
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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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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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material_s_sat(matID))**material_w0(matID)*abs(gdot_slip(i))
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enddo
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!* Hardening for all systems
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constitutive_DotState=matmul(constitutive_HardeningMatrix(1:material_Nslip(matID),1:material_Nslip(matID),material_CrystalStructure(matID)),self_hardening)
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constitutive_DotState=matmul(constitutive_HardeningMatrix(1:material_Nslip(matID),1:material_Nslip(matID),&
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material_CrystalStructure(matID)),self_hardening)
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return
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end function
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