avoid global variables
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@ -49,8 +49,6 @@ module constitutive
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real(pReal), dimension(:,:,:,:,:), allocatable :: &
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crystallite_F0, & !< def grad at start of FE inc
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crystallite_Fe, & !< current "elastic" def grad (end of converged time step)
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crystallite_subFp0,& !< plastic def grad at start of crystallite inc
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crystallite_subFi0,& !< intermediate def grad at start of crystallite inc
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crystallite_Lp0, & !< plastic velocitiy grad at start of FE inc
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crystallite_partitionedLp0, & !< plastic velocity grad at start of homog inc
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crystallite_S0, & !< 2nd Piola-Kirchhoff stress vector at start of FE inc
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@ -748,7 +746,6 @@ subroutine constitutive_allocateState(state, &
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allocate(state%atol (sizeState), source=0.0_pReal)
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allocate(state%state0 (sizeState,Nconstituents), source=0.0_pReal)
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allocate(state%partitionedState0(sizeState,Nconstituents), source=0.0_pReal)
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allocate(state%subState0 (sizeState,Nconstituents), source=0.0_pReal)
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allocate(state%state (sizeState,Nconstituents), source=0.0_pReal)
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allocate(state%dotState (sizeDotState,Nconstituents), source=0.0_pReal)
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@ -875,7 +872,6 @@ subroutine crystallite_init
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crystallite_partitionedLp0, &
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crystallite_S,crystallite_P, &
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crystallite_Fe,crystallite_Lp, &
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crystallite_subFp0,crystallite_subFi0, &
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source = crystallite_F)
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allocate(crystallite_subdt(cMax,iMax,eMax),source=0.0_pReal)
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@ -936,6 +932,9 @@ subroutine crystallite_init
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allocate(constitutive_mech_Li(ph)%data(3,3,Nconstituents))
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allocate(constitutive_mech_Li0(ph)%data(3,3,Nconstituents))
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allocate(constitutive_mech_partitionedLi0(ph)%data(3,3,Nconstituents))
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do so = 1, phase_Nsources(ph)
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allocate(sourceState(ph)%p(so)%subState0,source=sourceState(ph)%p(so)%state0) ! ToDo: hack
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enddo
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enddo
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print'(a42,1x,i10)', ' # of elements: ', eMax
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@ -1095,8 +1094,8 @@ function crystallite_stressTangent(co,ip,el) result(dPdF)
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invFp = math_inv33(constitutive_mech_Fp(ph)%data(1:3,1:3,me))
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invFi = math_inv33(constitutive_mech_Fi(ph)%data(1:3,1:3,me))
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invSubFp0 = math_inv33(crystallite_subFp0(1:3,1:3,co,ip,el))
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invSubFi0 = math_inv33(crystallite_subFi0(1:3,1:3,co,ip,el))
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invSubFp0 = math_inv33(constitutive_mech_partitionedFp0(ph)%data(1:3,1:3,me))
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invSubFi0 = math_inv33(constitutive_mech_partitionedFi0(ph)%data(1:3,1:3,me))
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if (sum(abs(dLidS)) < tol_math_check) then
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dFidS = 0.0_pReal
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@ -737,9 +737,9 @@ end subroutine mech_results
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!> @brief calculation of stress (P) with time integration based on a residuum in Lp and
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!> intermediate acceleration of the Newton-Raphson correction
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!--------------------------------------------------------------------------------------------------
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function integrateStress(F,Delta_t,co,ip,el) result(broken)
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function integrateStress(F,subFp0,subFi0,Delta_t,co,ip,el) result(broken)
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real(pReal), dimension(3,3), intent(in) :: F
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real(pReal), dimension(3,3), intent(in) :: F,subFp0,subFi0
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real(pReal), intent(in) :: Delta_t
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integer, intent(in):: el, & ! element index
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ip, & ! integration point index
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@ -808,9 +808,9 @@ function integrateStress(F,Delta_t,co,ip,el) result(broken)
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Lpguess = crystallite_Lp(1:3,1:3,co,ip,el) ! take as first guess
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Liguess = constitutive_mech_Li(ph)%data(1:3,1:3,me) ! take as first guess
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call math_invert33(invFp_current,devNull,error,crystallite_subFp0(1:3,1:3,co,ip,el))
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call math_invert33(invFp_current,devNull,error,subFp0)
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if (error) return ! error
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call math_invert33(invFi_current,devNull,error,crystallite_subFi0(1:3,1:3,co,ip,el))
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call math_invert33(invFi_current,devNull,error,subFi0)
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if (error) return ! error
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A = matmul(F,invFp_current) ! intermediate tensor needed later to calculate dFe_dLp
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@ -951,9 +951,10 @@ end function integrateStress
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!> @brief integrate stress, state with adaptive 1st order explicit Euler method
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!> using Fixed Point Iteration to adapt the stepsize
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!--------------------------------------------------------------------------------------------------
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function integrateStateFPI(F_0,F,Delta_t,co,ip,el) result(broken)
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function integrateStateFPI(F_0,F,subFp0,subFi0,subState0,Delta_t,co,ip,el) result(broken)
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real(pReal), intent(in),dimension(3,3) :: F_0,F
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real(pReal), intent(in),dimension(3,3) :: F_0,F,subFp0,subFi0
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real(pReal), intent(in),dimension(:) :: subState0
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real(pReal), intent(in) :: Delta_t
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integer, intent(in) :: &
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el, & !< element index in element loop
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@ -982,7 +983,7 @@ function integrateStateFPI(F_0,F,Delta_t,co,ip,el) result(broken)
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if(broken) return
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sizeDotState = plasticState(ph)%sizeDotState
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plasticState(ph)%state(1:sizeDotState,me) = plasticState(ph)%subState0(1:sizeDotState,me) &
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plasticState(ph)%state(1:sizeDotState,me) = subState0 &
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+ plasticState(ph)%dotState (1:sizeDotState,me) * Delta_t
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dotState(1:sizeDotState,2) = 0.0_pReal
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@ -991,7 +992,7 @@ function integrateStateFPI(F_0,F,Delta_t,co,ip,el) result(broken)
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if(nIterationState > 1) dotState(1:sizeDotState,2) = dotState(1:sizeDotState,1)
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dotState(1:sizeDotState,1) = plasticState(ph)%dotState(:,me)
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broken = integrateStress(F,Delta_t,co,ip,el)
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broken = integrateStress(F,subFp0,subFi0,Delta_t,co,ip,el)
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if(broken) exit iteration
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broken = mech_collectDotState(Delta_t, co,ip,el,ph,me)
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@ -1002,7 +1003,7 @@ function integrateStateFPI(F_0,F,Delta_t,co,ip,el) result(broken)
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plasticState(ph)%dotState(:,me) = plasticState(ph)%dotState(:,me) * zeta &
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+ dotState(1:sizeDotState,1) * (1.0_pReal - zeta)
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r(1:sizeDotState) = plasticState(ph)%state (1:sizeDotState,me) &
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- plasticState(ph)%subState0(1:sizeDotState,me) &
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- subState0 &
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- plasticState(ph)%dotState (1:sizeDotState,me) * Delta_t
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plasticState(ph)%state(1:sizeDotState,me) = plasticState(ph)%state(1:sizeDotState,me) &
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- r(1:sizeDotState)
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@ -1042,9 +1043,10 @@ end function integrateStateFPI
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!--------------------------------------------------------------------------------------------------
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!> @brief integrate state with 1st order explicit Euler method
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!--------------------------------------------------------------------------------------------------
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function integrateStateEuler(F_0,F,Delta_t,co,ip,el) result(broken)
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function integrateStateEuler(F_0,F,subFp0,subFi0,subState0,Delta_t,co,ip,el) result(broken)
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real(pReal), intent(in),dimension(3,3) :: F_0,F
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real(pReal), intent(in),dimension(3,3) :: F_0,F,subFp0,subFi0
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real(pReal), intent(in),dimension(:) :: subState0
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real(pReal), intent(in) :: Delta_t
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integer, intent(in) :: &
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el, & !< element index in element loop
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@ -1066,14 +1068,14 @@ function integrateStateEuler(F_0,F,Delta_t,co,ip,el) result(broken)
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if(broken) return
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sizeDotState = plasticState(ph)%sizeDotState
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plasticState(ph)%state(1:sizeDotState,me) = plasticState(ph)%subState0(1:sizeDotState,me) &
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+ plasticState(ph)%dotState (1:sizeDotState,me) * Delta_t
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plasticState(ph)%state(1:sizeDotState,me) = subState0 &
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+ plasticState(ph)%dotState(1:sizeDotState,me) * Delta_t
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broken = constitutive_deltaState(crystallite_S(1:3,1:3,co,ip,el), &
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constitutive_mech_Fi(ph)%data(1:3,1:3,me),co,ip,el,ph,me)
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if(broken) return
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broken = integrateStress(F,Delta_t,co,ip,el)
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broken = integrateStress(F,subFp0,subFi0,Delta_t,co,ip,el)
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end function integrateStateEuler
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@ -1081,9 +1083,10 @@ end function integrateStateEuler
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!--------------------------------------------------------------------------------------------------
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!> @brief integrate stress, state with 1st order Euler method with adaptive step size
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!--------------------------------------------------------------------------------------------------
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function integrateStateAdaptiveEuler(F_0,F,Delta_t,co,ip,el) result(broken)
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function integrateStateAdaptiveEuler(F_0,F,subFp0,subFi0,subState0,Delta_t,co,ip,el) result(broken)
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real(pReal), intent(in),dimension(3,3) :: F_0,F
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real(pReal), intent(in),dimension(3,3) :: F_0,F,subFp0,subFi0
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real(pReal), intent(in),dimension(:) :: subState0
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real(pReal), intent(in) :: Delta_t
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integer, intent(in) :: &
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el, & !< element index in element loop
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@ -1108,14 +1111,14 @@ function integrateStateAdaptiveEuler(F_0,F,Delta_t,co,ip,el) result(broken)
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sizeDotState = plasticState(ph)%sizeDotState
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residuum_plastic(1:sizeDotState) = - plasticState(ph)%dotstate(1:sizeDotState,me) * 0.5_pReal * Delta_t
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plasticState(ph)%state(1:sizeDotState,me) = plasticState(ph)%subState0(1:sizeDotState,me) &
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plasticState(ph)%state(1:sizeDotState,me) = subState0 &
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+ plasticState(ph)%dotstate(1:sizeDotState,me) * Delta_t
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broken = constitutive_deltaState(crystallite_S(1:3,1:3,co,ip,el), &
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constitutive_mech_Fi(ph)%data(1:3,1:3,me),co,ip,el,ph,me)
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if(broken) return
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broken = integrateStress(F,Delta_t,co,ip,el)
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broken = integrateStress(F,subFp0,subFi0,Delta_t,co,ip,el)
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if(broken) return
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broken = mech_collectDotState(Delta_t, co,ip,el,ph,me)
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@ -1131,9 +1134,10 @@ end function integrateStateAdaptiveEuler
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!---------------------------------------------------------------------------------------------------
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!> @brief Integrate state (including stress integration) with the classic Runge Kutta method
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!---------------------------------------------------------------------------------------------------
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function integrateStateRK4(F_0,F,Delta_t,co,ip,el) result(broken)
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function integrateStateRK4(F_0,F,subFp0,subFi0,subState0,Delta_t,co,ip,el) result(broken)
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real(pReal), intent(in),dimension(3,3) :: F_0,F
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real(pReal), intent(in),dimension(3,3) :: F_0,F,subFp0,subFi0
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real(pReal), intent(in),dimension(:) :: subState0
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real(pReal), intent(in) :: Delta_t
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integer, intent(in) :: co,ip,el
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logical :: broken
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@ -1150,7 +1154,7 @@ function integrateStateRK4(F_0,F,Delta_t,co,ip,el) result(broken)
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B = [1.0_pReal/6.0_pReal, 1.0_pReal/3.0_pReal, 1.0_pReal/3.0_pReal, 1.0_pReal/6.0_pReal]
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broken = integrateStateRK(F_0,F,Delta_t,co,ip,el,A,B,C)
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broken = integrateStateRK(F_0,F,subFp0,subFi0,subState0,Delta_t,co,ip,el,A,B,C)
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end function integrateStateRK4
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@ -1158,9 +1162,10 @@ end function integrateStateRK4
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!---------------------------------------------------------------------------------------------------
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!> @brief Integrate state (including stress integration) with the Cash-Carp method
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!---------------------------------------------------------------------------------------------------
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function integrateStateRKCK45(F_0,F,Delta_t,co,ip,el) result(broken)
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function integrateStateRKCK45(F_0,F,subFp0,subFi0,subState0,Delta_t,co,ip,el) result(broken)
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real(pReal), intent(in),dimension(3,3) :: F_0,F
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real(pReal), intent(in),dimension(3,3) :: F_0,F,subFp0,subFi0
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real(pReal), intent(in),dimension(:) :: subState0
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real(pReal), intent(in) :: Delta_t
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integer, intent(in) :: co,ip,el
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logical :: broken
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@ -1184,7 +1189,7 @@ function integrateStateRKCK45(F_0,F,Delta_t,co,ip,el) result(broken)
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13525.0_pReal/55296.0_pReal, 277.0_pReal/14336.0_pReal, 1._pReal/4._pReal]
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broken = integrateStateRK(F_0,F,Delta_t,co,ip,el,A,B,C,DB)
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broken = integrateStateRK(F_0,F,subFp0,subFi0,subState0,Delta_t,co,ip,el,A,B,C,DB)
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end function integrateStateRKCK45
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@ -1193,9 +1198,10 @@ end function integrateStateRKCK45
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!> @brief Integrate state (including stress integration) with an explicit Runge-Kutta method or an
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!! embedded explicit Runge-Kutta method
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!--------------------------------------------------------------------------------------------------
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function integrateStateRK(F_0,F,Delta_t,co,ip,el,A,B,C,DB) result(broken)
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function integrateStateRK(F_0,F,subFp0,subFi0,subState0,Delta_t,co,ip,el,A,B,C,DB) result(broken)
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real(pReal), intent(in),dimension(3,3) :: F_0,F
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real(pReal), intent(in),dimension(3,3) :: F_0,F,subFp0,subFi0
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real(pReal), intent(in),dimension(:) :: subState0
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real(pReal), intent(in) :: Delta_t
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real(pReal), dimension(:,:), intent(in) :: A
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real(pReal), dimension(:), intent(in) :: B, C
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@ -1233,10 +1239,10 @@ function integrateStateRK(F_0,F,Delta_t,co,ip,el,A,B,C,DB) result(broken)
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+ A(n,stage) * plastic_RKdotState(1:sizeDotState,n)
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enddo
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plasticState(ph)%state(1:sizeDotState,me) = plasticState(ph)%subState0(1:sizeDotState,me) &
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plasticState(ph)%state(1:sizeDotState,me) = subState0 &
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+ plasticState(ph)%dotState (1:sizeDotState,me) * Delta_t
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broken = integrateStress(F_0 + (F - F_0) * Delta_t * C(stage),Delta_t * C(stage),co,ip,el)
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broken = integrateStress(F_0 + (F - F_0) * Delta_t * C(stage),subFp0,subFi0,Delta_t * C(stage),co,ip,el)
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if(broken) exit
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broken = mech_collectDotState(Delta_t*C(stage),co,ip,el,ph,me)
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@ -1248,7 +1254,7 @@ function integrateStateRK(F_0,F,Delta_t,co,ip,el,A,B,C,DB) result(broken)
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plastic_RKdotState(1:sizeDotState,size(B)) = plasticState (ph)%dotState(:,me)
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plasticState(ph)%dotState(:,me) = matmul(plastic_RKdotState(1:sizeDotState,1:size(B)),B)
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plasticState(ph)%state(1:sizeDotState,me) = plasticState(ph)%subState0(1:sizeDotState,me) &
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plasticState(ph)%state(1:sizeDotState,me) = subState0 &
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+ plasticState(ph)%dotState (1:sizeDotState,me) * Delta_t
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if(present(DB)) &
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@ -1262,7 +1268,7 @@ function integrateStateRK(F_0,F,Delta_t,co,ip,el,A,B,C,DB) result(broken)
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constitutive_mech_Fi(ph)%data(1:3,1:3,me),co,ip,el,ph,me)
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if(broken) return
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broken = integrateStress(F,Delta_t,co,ip,el)
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broken = integrateStress(F,subFp0,subFi0,Delta_t,co,ip,el)
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end function integrateStateRK
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@ -1487,33 +1493,40 @@ module function crystallite_stress(dt,co,ip,el) result(converged_)
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formerSubStep
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integer :: &
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NiterationCrystallite, & ! number of iterations in crystallite loop
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so, ph, me
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so, ph, me, sizeDotState
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logical :: todo
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real(pReal) :: subFrac,subStep
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real(pReal), dimension(3,3) :: &
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subLp0, & !< plastic velocity grad at start of crystallite inc
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subLi0, & !< intermediate velocity grad at start of crystallite inc
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subFp0, &
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subFi0, &
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subLp0, &
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subLi0, &
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subF0, &
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subF
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real(pReal), dimension(:), allocatable :: subState0
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ph = material_phaseAt(co,el)
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me = material_phaseMemberAt(co,ip,el)
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sizeDotState = plasticState(ph)%sizeDotState
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subLi0 = constitutive_mech_partitionedLi0(ph)%data(1:3,1:3,me)
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subLp0 = crystallite_partitionedLp0(1:3,1:3,co,ip,el)
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subState0 = plasticState(ph)%partitionedState0(:,me)
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plasticState(ph)%subState0(:,me) = plasticState(ph)%partitionedState0(:,me)
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do so = 1, phase_Nsources(ph)
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sourceState(ph)%p(so)%subState0(:,me) = sourceState(ph)%p(so)%partitionedState0(:,me)
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enddo
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crystallite_subFp0(1:3,1:3,co,ip,el) = constitutive_mech_partitionedFp0(ph)%data(1:3,1:3,me)
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crystallite_subFi0(1:3,1:3,co,ip,el) = constitutive_mech_partitionedFi0(ph)%data(1:3,1:3,me)
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subFp0 = constitutive_mech_partitionedFp0(ph)%data(1:3,1:3,me)
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subFi0 = constitutive_mech_partitionedFi0(ph)%data(1:3,1:3,me)
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subF0 = crystallite_partitionedF0(1:3,1:3,co,ip,el)
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subFrac = 0.0_pReal
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subStep = 1.0_pReal/num%subStepSizeCryst
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todo = .true.
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converged_ = .false. ! pretend failed step of 1/subStepSizeCryst
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crystallite_subdt(co,ip,el) = dt
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todo = .true.
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NiterationCrystallite = 0
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cutbackLooping: do while (todo)
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@ -1532,9 +1545,9 @@ module function crystallite_stress(dt,co,ip,el) result(converged_)
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subF0 = subF
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subLp0 = crystallite_Lp (1:3,1:3,co,ip,el)
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subLi0 = constitutive_mech_Li(ph)%data(1:3,1:3,me)
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crystallite_subFp0(1:3,1:3,co,ip,el) = constitutive_mech_Fp(ph)%data(1:3,1:3,me)
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crystallite_subFi0(1:3,1:3,co,ip,el) = constitutive_mech_Fi(ph)%data(1:3,1:3,me)
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||||
plasticState(ph)%subState0(:,me) = plasticState(ph)%state(:,me)
|
||||
subFp0 = constitutive_mech_Fp(ph)%data(1:3,1:3,me)
|
||||
subFi0 = constitutive_mech_Fi(ph)%data(1:3,1:3,me)
|
||||
subState0 = plasticState(ph)%state(:,me)
|
||||
do so = 1, phase_Nsources(ph)
|
||||
sourceState(ph)%p(so)%subState0(:,me) = sourceState(ph)%p(so)%state(:,me)
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||||
enddo
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||||
|
@ -1543,14 +1556,14 @@ module function crystallite_stress(dt,co,ip,el) result(converged_)
|
|||
! cut back (reduced time and restore)
|
||||
else
|
||||
subStep = num%subStepSizeCryst * subStep
|
||||
constitutive_mech_Fp(ph)%data(1:3,1:3,me) = crystallite_subFp0(1:3,1:3,co,ip,el)
|
||||
constitutive_mech_Fi(ph)%data(1:3,1:3,me) = crystallite_subFi0(1:3,1:3,co,ip,el)
|
||||
crystallite_S (1:3,1:3,co,ip,el) = crystallite_S0 (1:3,1:3,co,ip,el)
|
||||
if (subStep < 1.0_pReal) then ! actual (not initial) cutback
|
||||
crystallite_Lp (1:3,1:3,co,ip,el) = subLp0
|
||||
constitutive_mech_Li(ph)%data(1:3,1:3,me) = subLi0
|
||||
constitutive_mech_Fp(ph)%data(1:3,1:3,me) = subFp0
|
||||
constitutive_mech_Fi(ph)%data(1:3,1:3,me) = subFi0
|
||||
crystallite_S (1:3,1:3,co,ip,el) = crystallite_S0 (1:3,1:3,co,ip,el)
|
||||
if (subStep < 1.0_pReal) then ! actual (not initial) cutback
|
||||
crystallite_Lp (1:3,1:3,co,ip,el) = subLp0
|
||||
constitutive_mech_Li(ph)%data(1:3,1:3,me) = subLi0
|
||||
endif
|
||||
plasticState(ph)%state(:,me) = plasticState(ph)%subState0(:,me)
|
||||
plasticState(ph)%state(:,me) = subState0
|
||||
do so = 1, phase_Nsources(ph)
|
||||
sourceState(ph)%p(so)%state(:,me) = sourceState(ph)%p(so)%subState0(:,me)
|
||||
enddo
|
||||
|
@ -1565,8 +1578,7 @@ module function crystallite_stress(dt,co,ip,el) result(converged_)
|
|||
+ subStep * (crystallite_F(1:3,1:3,co,ip,el) - crystallite_partitionedF0(1:3,1:3,co,ip,el))
|
||||
crystallite_Fe(1:3,1:3,co,ip,el) = matmul(subF,math_inv33(matmul(constitutive_mech_Fi(ph)%data(1:3,1:3,me), &
|
||||
constitutive_mech_Fp(ph)%data(1:3,1:3,me))))
|
||||
crystallite_subdt(co,ip,el) = subStep * dt
|
||||
converged_ = .not. integrateState(subF0,subF,subStep * dt,co,ip,el)
|
||||
converged_ = .not. integrateState(subF0,subF,subFp0,subFi0,subState0(1:sizeDotState),subStep * dt,co,ip,el)
|
||||
converged_ = converged_ .and. .not. integrateSourceState(subStep * dt,co,ip,el)
|
||||
endif
|
||||
|
||||
|
|
Loading…
Reference in New Issue