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src/CPFEM.f90
397
src/CPFEM.f90
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@ -126,208 +126,201 @@ end subroutine CPFEM_init
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!--------------------------------------------------------------------------------------------------
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subroutine CPFEM_general(mode, parallelExecution, ffn, ffn1, temperature_inp, dt, elFE, ip, cauchyStress, jacobian)
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integer(pInt), intent(in) :: elFE, & !< FE element number
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ip !< integration point number
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real(pReal), intent(in) :: dt !< time increment
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real(pReal), dimension (3,3), intent(in) :: ffn, & !< deformation gradient for t=t0
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ffn1 !< deformation gradient for t=t1
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integer(pInt), intent(in) :: mode !< computation mode 1: regular computation plus aging of results
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real(pReal), intent(in) :: temperature_inp !< temperature
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logical, intent(in) :: parallelExecution !< flag indicating parallel computation of requested IPs
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real(pReal), dimension(6), intent(out) :: cauchyStress !< stress as 6 vector
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real(pReal), dimension(6,6), intent(out) :: jacobian !< jacobian as 66 tensor (Consistent tangent dcs/dE)
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real(pReal) J_inverse, & ! inverse of Jacobian
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rnd
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real(pReal), dimension (3,3) :: Kirchhoff, & ! Piola-Kirchhoff stress in Matrix notation
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cauchyStress33 ! stress vector in Matrix notation
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real(pReal), dimension (3,3,3,3) :: H_sym, &
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H, &
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jacobian3333 ! jacobian in Matrix notation
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integer(pInt) elCP, & ! crystal plasticity element number
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i, j, k, l, m, n, ph, homog, mySource
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logical updateJaco ! flag indicating if Jacobian has to be updated
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real(pReal), parameter :: ODD_STRESS = 1e15_pReal, & !< return value for stress in case of ping pong dummy cycle
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ODD_JACOBIAN = 1e50_pReal !< return value for jacobian in case of ping pong dummy cycle
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elCP = mesh_FEM2DAMASK_elem(elFE)
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if (iand(debug_level(debug_CPFEM), debug_levelBasic) /= 0_pInt &
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.and. elCP == debug_e .and. ip == debug_i) then
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write(6,'(/,a)') '#############################################'
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write(6,'(a1,a22,1x,i8,a13)') '#','element', elCP, '#'
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write(6,'(a1,a22,1x,i8,a13)') '#','ip', ip, '#'
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write(6,'(a1,a22,1x,f15.7,a6)') '#','theTime', theTime, '#'
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write(6,'(a1,a22,1x,f15.7,a6)') '#','theDelta', theDelta, '#'
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write(6,'(a1,a22,1x,i8,a13)') '#','theInc', theInc, '#'
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write(6,'(a1,a22,1x,i8,a13)') '#','cycleCounter', cycleCounter, '#'
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write(6,'(a1,a22,1x,i8,a13)') '#','computationMode',mode, '#'
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if (terminallyIll) &
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write(6,'(a,/)') '# --- terminallyIll --- #'
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write(6,'(a,/)') '#############################################'; flush (6)
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endif
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if (iand(mode, CPFEM_BACKUPJACOBIAN) /= 0_pInt) &
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CPFEM_dcsde_knownGood = CPFEM_dcsde
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if (iand(mode, CPFEM_RESTOREJACOBIAN) /= 0_pInt) &
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CPFEM_dcsde = CPFEM_dcsde_knownGood
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!*** age results
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if (iand(mode, CPFEM_AGERESULTS) /= 0_pInt) call CPFEM_forward
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!*** collection of FEM input with returning of randomize odd stress and jacobian
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!* If no parallel execution is required, there is no need to collect FEM input
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if (.not. parallelExecution) then
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chosenThermal1: select case (thermal_type(material_homogenizationAt(elCP)))
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case (THERMAL_conduction_ID) chosenThermal1
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temperature(material_homogenizationAt(elCP))%p(thermalMapping(material_homogenizationAt(elCP))%p(ip,elCP)) = &
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temperature_inp
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end select chosenThermal1
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materialpoint_F0(1:3,1:3,ip,elCP) = ffn
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materialpoint_F(1:3,1:3,ip,elCP) = ffn1
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elseif (iand(mode, CPFEM_COLLECT) /= 0_pInt) then
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call random_number(rnd)
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if (rnd < 0.5_pReal) rnd = rnd - 1.0_pReal
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CPFEM_cs(1:6,ip,elCP) = rnd * ODD_STRESS
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CPFEM_dcsde(1:6,1:6,ip,elCP) = ODD_JACOBIAN * math_identity2nd(6)
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chosenThermal2: select case (thermal_type(material_homogenizationAt(elCP)))
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case (THERMAL_conduction_ID) chosenThermal2
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temperature(material_homogenizationAt(elCP))%p(thermalMapping(material_homogenizationAt(elCP))%p(ip,elCP)) = &
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temperature_inp
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end select chosenThermal2
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materialpoint_F0(1:3,1:3,ip,elCP) = ffn
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materialpoint_F(1:3,1:3,ip,elCP) = ffn1
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CPFEM_calc_done = .false.
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endif ! collection
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!*** calculation of stress and jacobian
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if (iand(mode, CPFEM_CALCRESULTS) /= 0_pInt) then
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!*** deformation gradient outdated or any actual deformation gradient differs more than relevantStrain from the stored one
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validCalculation: if (terminallyIll &
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.or. outdatedFFN1 &
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.or. any(abs(ffn1 - materialpoint_F(1:3,1:3,ip,elCP)) > defgradTolerance)) then
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if (any(abs(ffn1 - materialpoint_F(1:3,1:3,ip,elCP)) > defgradTolerance)) then
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if (iand(debug_level(debug_CPFEM), debug_levelBasic) /= 0_pInt) then
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write(6,'(a,1x,i8,1x,i2)') '<< CPFEM >> OUTDATED at elFE ip',elFE,ip
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write(6,'(a,/,3(12x,3(f10.6,1x),/))') '<< CPFEM >> FFN1 old:',&
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transpose(materialpoint_F(1:3,1:3,ip,elCP))
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write(6,'(a,/,3(12x,3(f10.6,1x),/))') '<< CPFEM >> FFN1 now:',transpose(ffn1)
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endif
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outdatedFFN1 = .true.
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endif
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call random_number(rnd)
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if (rnd < 0.5_pReal) rnd = rnd - 1.0_pReal
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CPFEM_cs(1:6,ip,elCP) = ODD_STRESS * rnd
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CPFEM_dcsde(1:6,1:6,ip,elCP) = ODD_JACOBIAN * math_identity2nd(6)
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!*** deformation gradient is not outdated
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else validCalculation
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updateJaco = mod(cycleCounter,iJacoStiffness) == 0
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!* no parallel computation, so we use just one single elFE and ip for computation
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if (.not. parallelExecution) then
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FEsolving_execElem = elCP
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FEsolving_execIP = ip
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if (iand(debug_level(debug_CPFEM), debug_levelExtensive) /= 0_pInt) &
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write(6,'(a,i8,1x,i2)') '<< CPFEM >> calculation for elFE ip ',elFE,ip
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call materialpoint_stressAndItsTangent(updateJaco, dt) ! calculate stress and its tangent
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!* parallel computation and calulation not yet done
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elseif (.not. CPFEM_calc_done) then
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if (iand(debug_level(debug_CPFEM), debug_levelExtensive) /= 0_pInt) &
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write(6,'(a,i8,a,i8)') '<< CPFEM >> calculation for elements ',FEsolving_execElem(1),&
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' to ',FEsolving_execElem(2)
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call materialpoint_stressAndItsTangent(updateJaco, dt) ! calculate stress and its tangent (parallel execution inside)
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CPFEM_calc_done = .true.
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endif
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!* map stress and stiffness (or return odd values if terminally ill)
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terminalIllness: if ( terminallyIll ) then
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call random_number(rnd)
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if (rnd < 0.5_pReal) rnd = rnd - 1.0_pReal
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CPFEM_cs(1:6,ip,elCP) = ODD_STRESS * rnd
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CPFEM_dcsde(1:6,1:6,ip,elCP) = ODD_JACOBIAN * math_identity2nd(6)
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else terminalIllness
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! translate from P to CS
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Kirchhoff = matmul(materialpoint_P(1:3,1:3,ip,elCP), transpose(materialpoint_F(1:3,1:3,ip,elCP)))
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J_inverse = 1.0_pReal / math_det33(materialpoint_F(1:3,1:3,ip,elCP))
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CPFEM_cs(1:6,ip,elCP) = math_sym33to6(J_inverse * Kirchhoff,weighted=.false.)
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! translate from dP/dF to dCS/dE
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H = 0.0_pReal
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do i=1,3; do j=1,3; do k=1,3; do l=1,3; do m=1,3; do n=1,3
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H(i,j,k,l) = H(i,j,k,l) &
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+ materialpoint_F(j,m,ip,elCP) * materialpoint_F(l,n,ip,elCP) &
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* materialpoint_dPdF(i,m,k,n,ip,elCP) &
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- math_delta(j,l) * materialpoint_F(i,m,ip,elCP) * materialpoint_P(k,m,ip,elCP) &
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+ 0.5_pReal * ( Kirchhoff(j,l)*math_delta(i,k) + Kirchhoff(i,k)*math_delta(j,l) &
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+ Kirchhoff(j,k)*math_delta(i,l) + Kirchhoff(i,l)*math_delta(j,k))
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enddo; enddo; enddo; enddo; enddo; enddo
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forall(i=1:3, j=1:3,k=1:3,l=1:3) &
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H_sym(i,j,k,l) = 0.25_pReal * (H(i,j,k,l) + H(j,i,k,l) + H(i,j,l,k) + H(j,i,l,k))
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CPFEM_dcsde(1:6,1:6,ip,elCP) = math_sym3333to66(J_inverse * H_sym,weighted=.false.)
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endif terminalIllness
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endif validCalculation
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!* report stress and stiffness
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if ((iand(debug_level(debug_CPFEM), debug_levelExtensive) /= 0_pInt) &
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.and. ((debug_e == elCP .and. debug_i == ip) &
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.or. .not. iand(debug_level(debug_CPFEM), debug_levelSelective) /= 0_pInt)) then
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write(6,'(a,i8,1x,i2,/,12x,6(f10.3,1x)/)') &
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'<< CPFEM >> stress/MPa at elFE ip ', elFE, ip, CPFEM_cs(1:6,ip,elCP)*1.0e-6_pReal
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write(6,'(a,i8,1x,i2,/,6(12x,6(f10.3,1x)/))') &
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'<< CPFEM >> Jacobian/GPa at elFE ip ', elFE, ip, transpose(CPFEM_dcsdE(1:6,1:6,ip,elCP))*1.0e-9_pReal
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flush(6)
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endif
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endif
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!*** warn if stiffness close to zero
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if (all(abs(CPFEM_dcsdE(1:6,1:6,ip,elCP)) < 1e-10_pReal)) call IO_warning(601,elCP,ip)
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!*** copy to output if using commercial FEM solver
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cauchyStress = CPFEM_cs (1:6, ip,elCP)
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jacobian = CPFEM_dcsdE(1:6,1:6,ip,elCP)
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!*** remember extreme values of stress ...
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cauchyStress33 = math_6toSym33(CPFEM_cs(1:6,ip,elCP),weighted=.false.)
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if (maxval(cauchyStress33) > debug_stressMax) then
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debug_stressMaxLocation = [elCP, ip]
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debug_stressMax = maxval(cauchyStress33)
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endif
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if (minval(cauchyStress33) < debug_stressMin) then
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debug_stressMinLocation = [elCP, ip]
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debug_stressMin = minval(cauchyStress33)
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endif
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!*** ... and Jacobian
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jacobian3333 = math_66toSym3333(CPFEM_dcsdE(1:6,1:6,ip,elCP),weighted=.false.)
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if (maxval(jacobian3333) > debug_jacobianMax) then
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debug_jacobianMaxLocation = [elCP, ip]
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debug_jacobianMax = maxval(jacobian3333)
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endif
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if (minval(jacobian3333) < debug_jacobianMin) then
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debug_jacobianMinLocation = [elCP, ip]
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debug_jacobianMin = minval(jacobian3333)
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endif
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integer(pInt), intent(in) :: elFE, & !< FE element number
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ip !< integration point number
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real(pReal), intent(in) :: dt !< time increment
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real(pReal), dimension (3,3), intent(in) :: ffn, & !< deformation gradient for t=t0
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ffn1 !< deformation gradient for t=t1
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integer(pInt), intent(in) :: mode !< computation mode 1: regular computation plus aging of results
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real(pReal), intent(in) :: temperature_inp !< temperature
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logical, intent(in) :: parallelExecution !< flag indicating parallel computation of requested IPs
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real(pReal), dimension(6), intent(out) :: cauchyStress !< stress as 6 vector
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real(pReal), dimension(6,6), intent(out) :: jacobian !< jacobian as 66 tensor (Consistent tangent dcs/dE)
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real(pReal) J_inverse, & ! inverse of Jacobian
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rnd
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real(pReal), dimension (3,3) :: Kirchhoff, & ! Piola-Kirchhoff stress
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cauchyStress33 ! stress vector
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real(pReal), dimension (3,3,3,3) :: H_sym, &
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H, &
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jacobian3333 ! jacobian in Matrix notation
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integer(pInt) elCP, & ! crystal plasticity element number
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i, j, k, l, m, n, ph, homog, mySource
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logical updateJaco ! flag indicating if Jacobian has to be updated
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real(pReal), parameter :: ODD_STRESS = 1e15_pReal, & !< return value for stress in case of ping pong dummy cycle
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ODD_JACOBIAN = 1e50_pReal !< return value for jacobian in case of ping pong dummy cycle
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elCP = mesh_FEM2DAMASK_elem(elFE)
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if (iand(debug_level(debug_CPFEM), debug_levelBasic) /= 0_pInt &
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.and. elCP == debug_e .and. ip == debug_i) then
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write(6,'(/,a)') '#############################################'
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write(6,'(a1,a22,1x,i8,a13)') '#','element', elCP, '#'
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write(6,'(a1,a22,1x,i8,a13)') '#','ip', ip, '#'
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write(6,'(a1,a22,1x,f15.7,a6)') '#','theTime', theTime, '#'
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write(6,'(a1,a22,1x,f15.7,a6)') '#','theDelta', theDelta, '#'
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write(6,'(a1,a22,1x,i8,a13)') '#','theInc', theInc, '#'
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write(6,'(a1,a22,1x,i8,a13)') '#','cycleCounter', cycleCounter, '#'
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write(6,'(a1,a22,1x,i8,a13)') '#','computationMode',mode, '#'
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if (terminallyIll) &
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write(6,'(a,/)') '# --- terminallyIll --- #'
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write(6,'(a,/)') '#############################################'; flush (6)
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endif
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if (iand(mode, CPFEM_BACKUPJACOBIAN) /= 0_pInt) &
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CPFEM_dcsde_knownGood = CPFEM_dcsde
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if (iand(mode, CPFEM_RESTOREJACOBIAN) /= 0_pInt) &
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CPFEM_dcsde = CPFEM_dcsde_knownGood
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!*** age results
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if (iand(mode, CPFEM_AGERESULTS) /= 0_pInt) call CPFEM_forward
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!*** collection of FEM input with returning of randomize odd stress and jacobian
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!* If no parallel execution is required, there is no need to collect FEM input
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if (.not. parallelExecution) then
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chosenThermal1: select case (thermal_type(material_homogenizationAt(elCP)))
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case (THERMAL_conduction_ID) chosenThermal1
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temperature(material_homogenizationAt(elCP))%p(thermalMapping(material_homogenizationAt(elCP))%p(ip,elCP)) = &
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temperature_inp
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end select chosenThermal1
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materialpoint_F0(1:3,1:3,ip,elCP) = ffn
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materialpoint_F(1:3,1:3,ip,elCP) = ffn1
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elseif (iand(mode, CPFEM_COLLECT) /= 0_pInt) then
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call random_number(rnd)
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if (rnd < 0.5_pReal) rnd = rnd - 1.0_pReal
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CPFEM_cs(1:6,ip,elCP) = rnd * ODD_STRESS
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CPFEM_dcsde(1:6,1:6,ip,elCP) = ODD_JACOBIAN * math_identity2nd(6)
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chosenThermal2: select case (thermal_type(material_homogenizationAt(elCP)))
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case (THERMAL_conduction_ID) chosenThermal2
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temperature(material_homogenizationAt(elCP))%p(thermalMapping(material_homogenizationAt(elCP))%p(ip,elCP)) = &
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temperature_inp
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end select chosenThermal2
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materialpoint_F0(1:3,1:3,ip,elCP) = ffn
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materialpoint_F(1:3,1:3,ip,elCP) = ffn1
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CPFEM_calc_done = .false.
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endif
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!*** calculation of stress and jacobian
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if (iand(mode, CPFEM_CALCRESULTS) /= 0_pInt) then
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!*** deformation gradient outdated or any actual deformation gradient differs more than relevantStrain from the stored one
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validCalculation: if (terminallyIll &
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.or. outdatedFFN1 &
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.or. any(abs(ffn1 - materialpoint_F(1:3,1:3,ip,elCP)) > defgradTolerance)) then
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if (any(abs(ffn1 - materialpoint_F(1:3,1:3,ip,elCP)) > defgradTolerance)) then
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if (iand(debug_level(debug_CPFEM), debug_levelBasic) /= 0_pInt) then
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write(6,'(a,1x,i8,1x,i2)') '<< CPFEM >> OUTDATED at elFE ip',elFE,ip
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write(6,'(a,/,3(12x,3(f10.6,1x),/))') '<< CPFEM >> FFN1 old:',&
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transpose(materialpoint_F(1:3,1:3,ip,elCP))
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write(6,'(a,/,3(12x,3(f10.6,1x),/))') '<< CPFEM >> FFN1 now:',transpose(ffn1)
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endif
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outdatedFFN1 = .true.
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endif
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call random_number(rnd)
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if (rnd < 0.5_pReal) rnd = rnd - 1.0_pReal
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CPFEM_cs(1:6,ip,elCP) = ODD_STRESS * rnd
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CPFEM_dcsde(1:6,1:6,ip,elCP) = ODD_JACOBIAN * math_identity2nd(6)
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!*** deformation gradient is not outdated
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else validCalculation
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updateJaco = mod(cycleCounter,iJacoStiffness) == 0
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!* no parallel computation, so we use just one single elFE and ip for computation
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if (.not. parallelExecution) then
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FEsolving_execElem = elCP
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FEsolving_execIP = ip
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if (iand(debug_level(debug_CPFEM), debug_levelExtensive) /= 0_pInt) &
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write(6,'(a,i8,1x,i2)') '<< CPFEM >> calculation for elFE ip ',elFE,ip
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call materialpoint_stressAndItsTangent(updateJaco, dt)
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!* parallel computation and calulation not yet done
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elseif (.not. CPFEM_calc_done) then
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if (iand(debug_level(debug_CPFEM), debug_levelExtensive) /= 0_pInt) &
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write(6,'(a,i8,a,i8)') '<< CPFEM >> calculation for elements ',FEsolving_execElem(1),&
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' to ',FEsolving_execElem(2)
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call materialpoint_stressAndItsTangent(updateJaco, dt)
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CPFEM_calc_done = .true.
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endif
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||||
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!* map stress and stiffness (or return odd values if terminally ill)
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terminalIllness: if (terminallyIll) then
|
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|
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call random_number(rnd)
|
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if (rnd < 0.5_pReal) rnd = rnd - 1.0_pReal
|
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CPFEM_cs(1:6,ip,elCP) = ODD_STRESS * rnd
|
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CPFEM_dcsde(1:6,1:6,ip,elCP) = ODD_JACOBIAN * math_identity2nd(6)
|
||||
|
||||
else terminalIllness
|
||||
|
||||
! translate from P to CS
|
||||
Kirchhoff = matmul(materialpoint_P(1:3,1:3,ip,elCP), transpose(materialpoint_F(1:3,1:3,ip,elCP)))
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||||
J_inverse = 1.0_pReal / math_det33(materialpoint_F(1:3,1:3,ip,elCP))
|
||||
CPFEM_cs(1:6,ip,elCP) = math_sym33to6(J_inverse * Kirchhoff,weighted=.false.)
|
||||
|
||||
! translate from dP/dF to dCS/dE
|
||||
H = 0.0_pReal
|
||||
do i=1,3; do j=1,3; do k=1,3; do l=1,3; do m=1,3; do n=1,3
|
||||
H(i,j,k,l) = H(i,j,k,l) &
|
||||
+ materialpoint_F(j,m,ip,elCP) * materialpoint_F(l,n,ip,elCP) &
|
||||
* materialpoint_dPdF(i,m,k,n,ip,elCP) &
|
||||
- math_delta(j,l) * materialpoint_F(i,m,ip,elCP) * materialpoint_P(k,m,ip,elCP) &
|
||||
+ 0.5_pReal * ( Kirchhoff(j,l)*math_delta(i,k) + Kirchhoff(i,k)*math_delta(j,l) &
|
||||
+ Kirchhoff(j,k)*math_delta(i,l) + Kirchhoff(i,l)*math_delta(j,k))
|
||||
enddo; enddo; enddo; enddo; enddo; enddo
|
||||
|
||||
forall(i=1:3, j=1:3,k=1:3,l=1:3) &
|
||||
H_sym(i,j,k,l) = 0.25_pReal * (H(i,j,k,l) + H(j,i,k,l) + H(i,j,l,k) + H(j,i,l,k))
|
||||
|
||||
CPFEM_dcsde(1:6,1:6,ip,elCP) = math_sym3333to66(J_inverse * H_sym,weighted=.false.)
|
||||
|
||||
endif terminalIllness
|
||||
endif validCalculation
|
||||
|
||||
!* report stress and stiffness
|
||||
if ((iand(debug_level(debug_CPFEM), debug_levelExtensive) /= 0_pInt) &
|
||||
.and. ((debug_e == elCP .and. debug_i == ip) &
|
||||
.or. .not. iand(debug_level(debug_CPFEM), debug_levelSelective) /= 0_pInt)) then
|
||||
write(6,'(a,i8,1x,i2,/,12x,6(f10.3,1x)/)') &
|
||||
'<< CPFEM >> stress/MPa at elFE ip ', elFE, ip, CPFEM_cs(1:6,ip,elCP)*1.0e-6_pReal
|
||||
write(6,'(a,i8,1x,i2,/,6(12x,6(f10.3,1x)/))') &
|
||||
'<< CPFEM >> Jacobian/GPa at elFE ip ', elFE, ip, transpose(CPFEM_dcsdE(1:6,1:6,ip,elCP))*1.0e-9_pReal
|
||||
flush(6)
|
||||
endif
|
||||
|
||||
endif
|
||||
|
||||
!*** warn if stiffness close to zero
|
||||
if (all(abs(CPFEM_dcsdE(1:6,1:6,ip,elCP)) < 1e-10_pReal)) call IO_warning(601,elCP,ip)
|
||||
|
||||
!*** copy to output if using commercial FEM solver
|
||||
cauchyStress = CPFEM_cs (1:6, ip,elCP)
|
||||
jacobian = CPFEM_dcsdE(1:6,1:6,ip,elCP)
|
||||
|
||||
|
||||
!*** remember extreme values of stress ...
|
||||
cauchyStress33 = math_6toSym33(CPFEM_cs(1:6,ip,elCP),weighted=.false.)
|
||||
if (maxval(cauchyStress33) > debug_stressMax) then
|
||||
debug_stressMaxLocation = [elCP, ip]
|
||||
debug_stressMax = maxval(cauchyStress33)
|
||||
endif
|
||||
if (minval(cauchyStress33) < debug_stressMin) then
|
||||
debug_stressMinLocation = [elCP, ip]
|
||||
debug_stressMin = minval(cauchyStress33)
|
||||
endif
|
||||
!*** ... and Jacobian
|
||||
jacobian3333 = math_66toSym3333(CPFEM_dcsdE(1:6,1:6,ip,elCP),weighted=.false.)
|
||||
if (maxval(jacobian3333) > debug_jacobianMax) then
|
||||
debug_jacobianMaxLocation = [elCP, ip]
|
||||
debug_jacobianMax = maxval(jacobian3333)
|
||||
endif
|
||||
if (minval(jacobian3333) < debug_jacobianMin) then
|
||||
debug_jacobianMinLocation = [elCP, ip]
|
||||
debug_jacobianMin = minval(jacobian3333)
|
||||
endif
|
||||
|
||||
end subroutine CPFEM_general
|
||||
|
||||
|
|
Loading…
Reference in New Issue