separate integration for source and plastic state
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Martin Diehl
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d83f72dcb8
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9f2c150944
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@ -417,6 +417,7 @@ function crystallite_stress()
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crystallite_subdt(c,i,e) = crystallite_subStep(c,i,e) * crystallite_dt(c,i,e)
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crystallite_converged(c,i,e) = .false.
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call integrateState(c,i,e)
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call integrateSourceState(c,i,e)
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endif
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enddo
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@ -1104,11 +1105,6 @@ subroutine integrateStateFPI(g,i,e)
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crystallite_Fi(1:3,1:3,g,i,e), &
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crystallite_partitionedFp0, &
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crystallite_subdt(g,i,e), g,i,e,p,c)
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broken = broken .or. constitutive_collectDotState_source(crystallite_S(1:3,1:3,g,i,e), &
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crystallite_partitionedF0, &
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crystallite_Fi(1:3,1:3,g,i,e), &
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crystallite_partitionedFp0, &
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crystallite_subdt(g,i,e), g,i,e,p,c)
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if(broken) return
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size_pl = plasticState(p)%sizeDotState
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@ -1116,22 +1112,11 @@ subroutine integrateStateFPI(g,i,e)
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+ plasticState(p)%dotState (1:size_pl,c) &
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* crystallite_subdt(g,i,e)
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plastic_dotState(1:size_pl,2) = 0.0_pReal
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do s = 1, phase_Nsources(p)
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size_so(s) = sourceState(p)%p(s)%sizeDotState
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sourceState(p)%p(s)%state(1:size_so(s),c) = sourceState(p)%p(s)%subState0(1:size_so(s),c) &
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+ sourceState(p)%p(s)%dotState (1:size_so(s),c) &
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* crystallite_subdt(g,i,e)
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source_dotState(1:size_so(s),2,s) = 0.0_pReal
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enddo
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iteration: do NiterationState = 1, num%nState
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if(nIterationState > 1) plastic_dotState(1:size_pl,2) = plastic_dotState(1:size_pl,1)
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plastic_dotState(1:size_pl,1) = plasticState(p)%dotState(:,c)
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do s = 1, phase_Nsources(p)
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if(nIterationState > 1) source_dotState(1:size_so(s),2,s) = source_dotState(1:size_so(s),1,s)
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source_dotState(1:size_so(s),1,s) = sourceState(p)%p(s)%dotState(:,c)
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enddo
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broken = integrateStress(g,i,e)
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if(broken) exit iteration
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@ -1141,11 +1126,6 @@ subroutine integrateStateFPI(g,i,e)
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crystallite_Fi(1:3,1:3,g,i,e), &
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crystallite_partitionedFp0, &
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crystallite_subdt(g,i,e), g,i,e,p,c)
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broken = broken .or. constitutive_collectDotState_source(crystallite_S(1:3,1:3,g,i,e), &
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crystallite_partitionedF0, &
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crystallite_Fi(1:3,1:3,g,i,e), &
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crystallite_partitionedFp0, &
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crystallite_subdt(g,i,e), g,i,e,p,c)
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if(broken) exit iteration
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zeta = damper(plasticState(p)%dotState(:,c),plastic_dotState(1:size_pl,1),&
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@ -1160,30 +1140,11 @@ subroutine integrateStateFPI(g,i,e)
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crystallite_converged(g,i,e) = converged(r(1:size_pl), &
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plasticState(p)%state(1:size_pl,c), &
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plasticState(p)%atol(1:size_pl))
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do s = 1, phase_Nsources(p)
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zeta = damper(sourceState(p)%p(s)%dotState(:,c), &
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source_dotState(1:size_so(s),1,s),&
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source_dotState(1:size_so(s),2,s))
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sourceState(p)%p(s)%dotState(:,c) = sourceState(p)%p(s)%dotState(:,c) * zeta &
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+ source_dotState(1:size_so(s),1,s)* (1.0_pReal - zeta)
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r(1:size_so(s)) = sourceState(p)%p(s)%state (1:size_so(s),c) &
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- sourceState(p)%p(s)%subState0(1:size_so(s),c) &
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- sourceState(p)%p(s)%dotState (1:size_so(s),c) * crystallite_subdt(g,i,e)
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sourceState(p)%p(s)%state(1:size_so(s),c) = sourceState(p)%p(s)%state(1:size_so(s),c) &
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- r(1:size_so(s))
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crystallite_converged(g,i,e) = &
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crystallite_converged(g,i,e) .and. converged(r(1:size_so(s)), &
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sourceState(p)%p(s)%state(1:size_so(s),c), &
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sourceState(p)%p(s)%atol(1:size_so(s)))
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enddo
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if(crystallite_converged(g,i,e)) then
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broken = constitutive_deltaState(crystallite_S(1:3,1:3,g,i,e), &
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crystallite_Fe(1:3,1:3,g,i,e), &
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crystallite_Fi(1:3,1:3,g,i,e),g,i,e,p,c)
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broken = broken .or. constitutive_deltaState_source(crystallite_S(1:3,1:3,g,i,e), &
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crystallite_Fe(1:3,1:3,g,i,e), &
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crystallite_Fi(1:3,1:3,g,i,e),g,i,e,p,c)
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exit iteration
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endif
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@ -1215,6 +1176,118 @@ subroutine integrateStateFPI(g,i,e)
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end subroutine integrateStateFPI
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!--------------------------------------------------------------------------------------------------
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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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subroutine integrateSourceState(g,i,e)
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integer, intent(in) :: &
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e, & !< element index in element loop
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i, & !< integration point index in ip loop
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g !< grain index in grain loop
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integer :: &
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NiterationState, & !< number of iterations in state loop
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p, &
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c, &
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s, &
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size_pl
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integer, dimension(maxval(phase_Nsources)) :: &
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size_so
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real(pReal) :: &
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zeta
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real(pReal), dimension(max(constitutive_plasticity_maxSizeDotState,constitutive_source_maxSizeDotState)) :: &
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r ! state residuum
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real(pReal), dimension(constitutive_plasticity_maxSizeDotState,2) :: &
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plastic_dotState
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real(pReal), dimension(constitutive_source_maxSizeDotState,2,maxval(phase_Nsources)) :: source_dotState
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logical :: &
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broken
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p = material_phaseAt(g,e)
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c = material_phaseMemberAt(g,i,e)
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broken = constitutive_collectDotState_source(crystallite_S(1:3,1:3,g,i,e), &
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crystallite_partitionedF0, &
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crystallite_Fi(1:3,1:3,g,i,e), &
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crystallite_partitionedFp0, &
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crystallite_subdt(g,i,e), g,i,e,p,c)
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if(broken) return
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do s = 1, phase_Nsources(p)
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size_so(s) = sourceState(p)%p(s)%sizeDotState
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sourceState(p)%p(s)%state(1:size_so(s),c) = sourceState(p)%p(s)%subState0(1:size_so(s),c) &
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+ sourceState(p)%p(s)%dotState (1:size_so(s),c) &
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* crystallite_subdt(g,i,e)
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source_dotState(1:size_so(s),2,s) = 0.0_pReal
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enddo
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iteration: do NiterationState = 1, num%nState
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if(nIterationState > 1) plastic_dotState(1:size_pl,2) = plastic_dotState(1:size_pl,1)
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do s = 1, phase_Nsources(p)
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if(nIterationState > 1) source_dotState(1:size_so(s),2,s) = source_dotState(1:size_so(s),1,s)
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source_dotState(1:size_so(s),1,s) = sourceState(p)%p(s)%dotState(:,c)
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enddo
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broken = constitutive_collectDotState_source(crystallite_S(1:3,1:3,g,i,e), &
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crystallite_partitionedF0, &
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crystallite_Fi(1:3,1:3,g,i,e), &
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crystallite_partitionedFp0, &
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crystallite_subdt(g,i,e), g,i,e,p,c)
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if(broken) exit iteration
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do s = 1, phase_Nsources(p)
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zeta = damper(sourceState(p)%p(s)%dotState(:,c), &
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source_dotState(1:size_so(s),1,s),&
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source_dotState(1:size_so(s),2,s))
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sourceState(p)%p(s)%dotState(:,c) = sourceState(p)%p(s)%dotState(:,c) * zeta &
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+ source_dotState(1:size_so(s),1,s)* (1.0_pReal - zeta)
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r(1:size_so(s)) = sourceState(p)%p(s)%state (1:size_so(s),c) &
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- sourceState(p)%p(s)%subState0(1:size_so(s),c) &
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- sourceState(p)%p(s)%dotState (1:size_so(s),c) * crystallite_subdt(g,i,e)
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sourceState(p)%p(s)%state(1:size_so(s),c) = sourceState(p)%p(s)%state(1:size_so(s),c) &
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- r(1:size_so(s))
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crystallite_converged(g,i,e) = &
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crystallite_converged(g,i,e) .and. converged(r(1:size_so(s)), &
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sourceState(p)%p(s)%state(1:size_so(s),c), &
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sourceState(p)%p(s)%atol(1:size_so(s)))
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enddo
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if(crystallite_converged(g,i,e)) then
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broken = constitutive_deltaState_source(crystallite_S(1:3,1:3,g,i,e), &
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crystallite_Fe(1:3,1:3,g,i,e), &
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crystallite_Fi(1:3,1:3,g,i,e),g,i,e,p,c)
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exit iteration
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endif
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enddo iteration
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contains
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!--------------------------------------------------------------------------------------------------
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!> @brief calculate the damping for correction of state and dot state
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!--------------------------------------------------------------------------------------------------
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real(pReal) pure function damper(current,previous,previous2)
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real(pReal), dimension(:), intent(in) ::&
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current, previous, previous2
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real(pReal) :: dot_prod12, dot_prod22
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dot_prod12 = dot_product(current - previous, previous - previous2)
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dot_prod22 = dot_product(previous - previous2, previous - previous2)
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if ((dot_product(current,previous) < 0.0_pReal .or. dot_prod12 < 0.0_pReal) .and. dot_prod22 > 0.0_pReal) then
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damper = 0.75_pReal + 0.25_pReal * tanh(2.0_pReal + 4.0_pReal * dot_prod12 / dot_prod22)
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else
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damper = 1.0_pReal
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endif
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end function damper
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end subroutine integrateSourceState
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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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