all in one loop
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@ -1404,7 +1404,7 @@ end subroutine integrateStateRK4
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!> adaptive step size (use 5th order solution to advance = "local extrapolation")
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!--------------------------------------------------------------------------------------------------
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subroutine integrateStateRKCK45
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real(pReal), dimension(5,5), parameter :: &
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A = reshape([&
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.2_pReal, .075_pReal, .3_pReal, -11.0_pReal/54.0_pReal, 1631.0_pReal/55296.0_pReal, &
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@ -1413,7 +1413,7 @@ subroutine integrateStateRKCK45
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.0_pReal, .0_pReal, .0_pReal, 35.0_pReal/27.0_pReal, 44275.0_pReal/110592.0_pReal, &
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.0_pReal, .0_pReal, .0_pReal, .0_pReal, 253.0_pReal/4096.0_pReal], &
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[5,5], order=[2,1]) !< coefficients in Butcher tableau (used for preliminary integration in stages 2 to 6)
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real(pReal), dimension(6), parameter :: &
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B = &
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[37.0_pReal/378.0_pReal, .0_pReal, 250.0_pReal/621.0_pReal, &
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@ -1421,10 +1421,10 @@ subroutine integrateStateRKCK45
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DB = B - &
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[2825.0_pReal/27648.0_pReal, .0_pReal, 18575.0_pReal/48384.0_pReal,&
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13525.0_pReal/55296.0_pReal, 277.0_pReal/14336.0_pReal, 0.25_pReal] !< coefficients in Butcher tableau (used for final integration and error estimate)
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real(pReal), dimension(5), parameter :: &
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CC = [0.2_pReal, 0.3_pReal, 0.6_pReal, 1.0_pReal, 0.875_pReal] !< coefficients in Butcher tableau (fractions of original time step in stages 2 to 6)
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integer :: &
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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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@ -1437,7 +1437,7 @@ subroutine integrateStateRKCK45
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sizeDotState
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logical :: &
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nonlocalBroken
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real(pReal), dimension(constitutive_plasticity_maxSizeDotState, &
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homogenization_maxNgrains,discretization_nIP,discretization_nElem) :: &
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residuum_plastic
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@ -1445,30 +1445,30 @@ subroutine integrateStateRKCK45
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maxval(phase_Nsources), &
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homogenization_maxNgrains,discretization_nIP,discretization_nElem) :: &
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residuum_source
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call update_dotState(1.0_pReal)
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nonlocalBroken = .false.
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!$OMP PARALLEL DO PRIVATE(sizeDotState,p,c)
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do e = FEsolving_execElem(1),FEsolving_execElem(2)
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do i = FEsolving_execIP(1),FEsolving_execIP(2)
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do g = 1,homogenization_Ngrains(material_homogenizationAt(e))
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if(crystallite_todo(g,i,e) .and. (.not. nonlocalBroken .or. crystallite_localPlasticity(g,i,e)) ) then
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p = material_phaseAt(g,e); c = material_phaseMemberAt(g,i,e)
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do stage = 1,5
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plasticState(p)%RKCK45dotState(stage,:,c) = plasticState(p)%dotState(:,c)
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plasticState(p)%dotState(:,c) = A(1,stage) * plasticState(p)%RKCK45dotState(1,:,c)
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do s = 1, phase_Nsources(p)
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sourceState(p)%p(s)%RKCK45dotState(stage,:,c) = sourceState(p)%p(s)%dotState(:,c)
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sourceState(p)%p(s)%dotState(:,c) = A(1,stage) * sourceState(p)%p(s)%RKCK45dotState(1,:,c)
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enddo
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do n = 2, stage
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plasticState(p)%dotState(:,c) = plasticState(p)%dotState(:,c) &
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+ A(n,stage) * plasticState(p)%RKCK45dotState(n,:,c)
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@ -1477,7 +1477,7 @@ subroutine integrateStateRKCK45
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+ A(n,stage) * sourceState(p)%p(s)%RKCK45dotState(n,:,c)
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enddo
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enddo
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sizeDotState = plasticState(p)%sizeDotState
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plasticState(p)%state(1:sizeDotState,c) = plasticState(p)%subState0(1:sizeDotState,c) &
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+ plasticState(p)%dotState (1:sizeDotState,c) &
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@ -1488,16 +1488,16 @@ subroutine integrateStateRKCK45
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+ sourceState(p)%p(s)%dotState (1:sizeDotState,c) &
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* crystallite_subdt(g,i,e)
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enddo
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call constitutive_dependentState(crystallite_Fe(1:3,1:3,g,i,e), &
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crystallite_Fp(1:3,1:3,g,i,e), &
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g, i, e)
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crystallite_todo(g,i,e) = integrateStress(g,i,e,CC(stage))
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if(.not. (crystallite_todo(g,i,e) .or. crystallite_localPlasticity(g,i,e))) &
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nonlocalBroken = .true.
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if(.not. crystallite_todo(g,i,e)) cycle
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call constitutive_collectDotState(crystallite_S(1:3,1:3,g,i,e), &
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crystallite_partionedF0, &
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crystallite_Fi(1:3,1:3,g,i,e), &
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@ -1510,9 +1510,9 @@ subroutine integrateStateRKCK45
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if(.not. (crystallite_todo(g,i,e) .or. crystallite_localPlasticity(g,i,e))) &
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nonlocalBroken = .true.
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if(.not. crystallite_todo(g,i,e)) cycle
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enddo
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if(.not. crystallite_todo(g,i,e)) exit
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sizeDotState = plasticState(p)%sizeDotState
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@ -1537,14 +1537,23 @@ subroutine integrateStateRKCK45
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matmul(B,sourceState(p)%p(s)%RKCK45dotState(1:6,1:sizeDotState,c))
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enddo
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sizeDotState = plasticState(p)%sizeDotState
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plasticState(p)%state(1:sizeDotState,c) = plasticState(p)%subState0(1:sizeDotState,c) &
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+ plasticState(p)%dotState (1:sizeDotState,c) &
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* crystallite_subdt(g,i,e)
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do s = 1, phase_Nsources(p)
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sizeDotState = sourceState(p)%p(s)%sizeDotState
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sourceState(p)%p(s)%state(1:sizeDotState,c) = sourceState(p)%p(s)%subState0(1:sizeDotState,c) &
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+ sourceState(p)%p(s)%dotState (1:sizeDotState,c) &
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* crystallite_subdt(g,i,e)
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enddo
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endif
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enddo; enddo; enddo
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!$OMP END PARALLEL DO
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if(nonlocalBroken) where(.not. crystallite_localPlasticity) crystallite_todo = .false.
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call update_state(1.0_pReal)
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! --- relative residui and state convergence ---
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!$OMP PARALLEL DO PRIVATE(sizeDotState,p,c)
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@ -1575,7 +1584,7 @@ subroutine integrateStateRKCK45
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call update_deltaState
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call update_dependentState
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call update_stress(1.0_pReal)
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call setConvergenceFlag
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if (any(plasticState(:)%nonlocal)) call nonlocalConvergenceCheck
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