1470 lines
88 KiB
Fortran
1470 lines
88 KiB
Fortran
!* $Id$
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!***************************************
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!* Module: CRYSTALLITE *
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!***************************************
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!* contains: *
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!* - _init *
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!* - materialpoint_stressAndItsTangent *
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!* - _partitionDeformation *
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!* - _updateState *
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!* - _stressAndItsTangent *
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!* - _postResults *
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!***************************************
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MODULE crystallite
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use prec, only: pReal, pInt
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implicit none
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!
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! ****************************************************************
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! *** General variables for the crystallite calculation ***
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! ****************************************************************
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integer(pInt), parameter :: crystallite_Nresults = 5_pInt ! phaseID, volume, Euler angles, def gradient
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real(pReal), dimension (:,:,:), allocatable :: crystallite_dt, & ! requested time increment of each grain
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crystallite_subdt, & ! substepped time increment of each grain
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crystallite_subFrac, & ! already calculated fraction of increment
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crystallite_subStep, & ! size of next integration step
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crystallite_Temperature, & ! Temp of each grain
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crystallite_partionedTemperature0, & ! Temp of each grain at start of homog inc
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crystallite_subTemperature0 ! Temp of each grain at start of crystallite inc
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real(pReal), dimension (:,:,:,:), allocatable :: crystallite_Tstar_v, & ! current 2nd Piola-Kirchhoff stress vector (end of converged time step)
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crystallite_Tstar0_v, & ! 2nd Piola-Kirchhoff stress vector at start of FE inc
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crystallite_partionedTstar0_v, & ! 2nd Piola-Kirchhoff stress vector at start of homog inc
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crystallite_subTstar0_v ! 2nd Piola-Kirchhoff stress vector at start of crystallite inc
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real(pReal), dimension (:,:,:,:,:), allocatable :: crystallite_Fe, & ! current "elastic" def grad (end of converged time step)
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crystallite_Fp, & ! current plastic def grad (end of converged time step)
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crystallite_invFp, & ! inverse of current plastic def grad (end of converged time step)
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crystallite_Fp0, & ! plastic def grad at start of FE inc
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crystallite_partionedFp0,& ! plastic def grad at start of homog inc
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crystallite_subFp0,& ! plastic def grad at start of crystallite inc
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crystallite_F0, & ! def grad at start of FE inc
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crystallite_partionedF, & ! def grad to be reached at end of homog inc
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crystallite_partionedF0, & ! def grad at start of homog inc
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crystallite_subF, & ! def grad to be reached at end of crystallite inc
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crystallite_subF0, & ! def grad at start of crystallite inc
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crystallite_Lp, & ! current plastic velocitiy grad (end of converged time step)
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crystallite_Lp0, & ! plastic velocitiy grad at start of FE inc
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crystallite_partionedLp0,& ! plastic velocity grad at start of homog inc
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crystallite_subLp0,& ! plastic velocity grad at start of crystallite inc
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crystallite_P ! 1st Piola-Kirchhoff stress per grain
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real(pReal), dimension (:,:,:,:,:,:,:), allocatable :: crystallite_dPdF, & ! individual dPdF per grain
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crystallite_fallbackdPdF ! dPdF fallback for non-converged grains (elastic prediction)
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real(pReal) crystallite_statedamper ! damping for state update
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logical, dimension (:,:,:), allocatable :: crystallite_localConstitution, & ! indicates this grain to have purely local constitutive law
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crystallite_requested, & ! flag to request crystallite calculation
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crystallite_onTrack, & ! flag to indicate ongoing calculation
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crystallite_converged, & ! convergence flag
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crystallite_stateConverged, & ! flag indicating convergence of state
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crystallite_temperatureConverged, & ! flag indicating convergence of temperature
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crystallite_todo ! requested and ontrack but not converged
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CONTAINS
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!********************************************************************
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! allocate and initialize per grain variables
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!********************************************************************
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subroutine crystallite_init(Temperature)
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!*** variables and functions from other modules ***!
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use prec, only: pInt, &
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pReal
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use debug, only: debug_info, &
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debug_reset
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use math, only: math_I3, &
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math_EulerToR
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use FEsolving, only: FEsolving_execElem, &
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FEsolving_execIP
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use mesh, only: mesh_element, &
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mesh_NcpElems, &
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mesh_maxNips
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use material, only: homogenization_Ngrains, &
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homogenization_maxNgrains, &
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material_EulerAngles, &
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material_phase, &
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phase_localConstitution
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implicit none
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!*** input variables ***!
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real(pReal) Temperature
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!*** output variables ***!
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!*** local variables ***!
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integer(pInt) g, & ! grain number
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i, & ! integration point number
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e, & ! element number
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gMax, & ! maximum number of grains
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iMax, & ! maximum number of integration points
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eMax, & ! maximum number of elements
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myNgrains
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gMax = homogenization_maxNgrains
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iMax = mesh_maxNips
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eMax = mesh_NcpElems
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allocate(crystallite_Temperature(gMax,iMax,eMax)); crystallite_Temperature = Temperature
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allocate(crystallite_P(3,3,gMax,iMax,eMax)); crystallite_P = 0.0_pReal
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allocate(crystallite_Fe(3,3,gMax,iMax,eMax)); crystallite_Fe = 0.0_pReal
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allocate(crystallite_Fp(3,3,gMax,iMax,eMax)); crystallite_Fp = 0.0_pReal
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allocate(crystallite_invFp(3,3,gMax,iMax,eMax)); crystallite_invFp = 0.0_pReal
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allocate(crystallite_Lp(3,3,gMax,iMax,eMax)); crystallite_Lp = 0.0_pReal
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allocate(crystallite_Tstar_v(6,gMax,iMax,eMax)); crystallite_Tstar_v = 0.0_pReal
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allocate(crystallite_F0(3,3,gMax,iMax,eMax)); crystallite_F0 = 0.0_pReal
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allocate(crystallite_Fp0(3,3,gMax,iMax,eMax)); crystallite_Fp0 = 0.0_pReal
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allocate(crystallite_Lp0(3,3,gMax,iMax,eMax)); crystallite_Lp0 = 0.0_pReal
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allocate(crystallite_Tstar0_v(6,gMax,iMax,eMax)); crystallite_Tstar0_v = 0.0_pReal
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allocate(crystallite_partionedTemperature0(gMax,iMax,eMax)); crystallite_partionedTemperature0 = 0.0_pReal
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allocate(crystallite_partionedF(3,3,gMax,iMax,eMax)); crystallite_partionedF = 0.0_pReal
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allocate(crystallite_partionedF0(3,3,gMax,iMax,eMax)); crystallite_partionedF0 = 0.0_pReal
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allocate(crystallite_partionedFp0(3,3,gMax,iMax,eMax)); crystallite_partionedFp0 = 0.0_pReal
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allocate(crystallite_partionedLp0(3,3,gMax,iMax,eMax)); crystallite_partionedLp0 = 0.0_pReal
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allocate(crystallite_partionedTstar0_v(6,gMax,iMax,eMax)); crystallite_partionedTstar0_v = 0.0_pReal
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allocate(crystallite_subTemperature0(gMax,iMax,eMax)); crystallite_subTemperature0 = 0.0_pReal
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allocate(crystallite_subF(3,3,gMax,iMax,eMax)); crystallite_subF = 0.0_pReal
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allocate(crystallite_subF0(3,3,gMax,iMax,eMax)); crystallite_subF0 = 0.0_pReal
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allocate(crystallite_subFp0(3,3,gMax,iMax,eMax)); crystallite_subFp0 = 0.0_pReal
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allocate(crystallite_subLp0(3,3,gMax,iMax,eMax)); crystallite_subLp0 = 0.0_pReal
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allocate(crystallite_subTstar0_v(6,gMax,iMax,eMax)); crystallite_subTstar0_v = 0.0_pReal
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allocate(crystallite_dPdF(3,3,3,3,gMax,iMax,eMax)); crystallite_dPdF = 0.0_pReal
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allocate(crystallite_fallbackdPdF(3,3,3,3,gMax,iMax,eMax)); crystallite_fallbackdPdF = 0.0_pReal
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allocate(crystallite_dt(gMax,iMax,eMax)); crystallite_dt = 0.0_pReal
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allocate(crystallite_subdt(gMax,iMax,eMax)); crystallite_subdt = 0.0_pReal
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allocate(crystallite_subFrac(gMax,iMax,eMax)); crystallite_subFrac = 0.0_pReal
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allocate(crystallite_subStep(gMax,iMax,eMax)); crystallite_subStep = 0.0_pReal
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allocate(crystallite_localConstitution(gMax,iMax,eMax)); crystallite_localConstitution = .true.
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allocate(crystallite_requested(gMax,iMax,eMax)); crystallite_requested = .false.
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allocate(crystallite_onTrack(gMax,iMax,eMax)); crystallite_onTrack = .true.
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allocate(crystallite_converged(gMax,iMax,eMax)); crystallite_converged = .true.
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allocate(crystallite_stateConverged(gMax,iMax,eMax)); crystallite_stateConverged = .false.
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allocate(crystallite_temperatureConverged(gMax,iMax,eMax)); crystallite_temperatureConverged = .false.
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allocate(crystallite_todo(gMax,iMax,eMax)); crystallite_todo = .true.
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!$OMP PARALLEL DO
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do e = FEsolving_execElem(1),FEsolving_execElem(2) ! iterate over all cp elements
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myNgrains = homogenization_Ngrains(mesh_element(3,e))
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do i = FEsolving_execIP(1,e),FEsolving_execIP(2,e) ! iterate over IPs of this element
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do g = 1,myNgrains
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crystallite_partionedTemperature0(g,i,e) = Temperature ! isothermal assumption
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crystallite_Fp0(:,:,g,i,e) = math_EulerToR(material_EulerAngles(:,g,i,e)) ! plastic def gradient reflects init orientation
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crystallite_F0(:,:,g,i,e) = math_I3
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crystallite_partionedFp0(:,:,g,i,e) = crystallite_Fp0(:,:,g,i,e)
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crystallite_partionedF0(:,:,g,i,e) = crystallite_F0(:,:,g,i,e)
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crystallite_partionedF(:,:,g,i,e) = crystallite_F0(:,:,g,i,e)
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crystallite_requested(g,i,e) = .true.
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crystallite_localConstitution(g,i,e) = phase_localConstitution(material_phase(g,i,e))
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enddo
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enddo
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enddo
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!$OMPEND PARALLEL DO
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call crystallite_stressAndItsTangent(.true.) ! request elastic answers
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crystallite_fallbackdPdF = crystallite_dPdF ! use initial elastic stiffness as fallback
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! *** Output to MARC output file ***
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!$OMP CRITICAL (write2out)
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write(6,*)
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write(6,*) '<<<+- crystallite init -+>>>'
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write(6,*) '$Id$'
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write(6,*)
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write(6,'(a35,x,7(i5,x))') 'crystallite_Nresults: ', crystallite_Nresults
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write(6,*)
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write(6,'(a35,x,7(i5,x))') 'crystallite_Temperature: ', shape(crystallite_Temperature)
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write(6,'(a35,x,7(i5,x))') 'crystallite_Fe: ', shape(crystallite_Fe)
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write(6,'(a35,x,7(i5,x))') 'crystallite_Fp: ', shape(crystallite_Fp)
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write(6,'(a35,x,7(i5,x))') 'crystallite_Lp: ', shape(crystallite_Lp)
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write(6,'(a35,x,7(i5,x))') 'crystallite_F0: ', shape(crystallite_F0)
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write(6,'(a35,x,7(i5,x))') 'crystallite_Fp0: ', shape(crystallite_Fp0)
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write(6,'(a35,x,7(i5,x))') 'crystallite_Lp0: ', shape(crystallite_Lp0)
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write(6,'(a35,x,7(i5,x))') 'crystallite_partionedF: ', shape(crystallite_partionedF)
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write(6,'(a35,x,7(i5,x))') 'crystallite_partionedTemp0: ', shape(crystallite_partionedTemperature0)
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write(6,'(a35,x,7(i5,x))') 'crystallite_partionedF0: ', shape(crystallite_partionedF0)
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write(6,'(a35,x,7(i5,x))') 'crystallite_partionedFp0: ', shape(crystallite_partionedFp0)
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write(6,'(a35,x,7(i5,x))') 'crystallite_partionedLp0: ', shape(crystallite_partionedLp0)
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write(6,'(a35,x,7(i5,x))') 'crystallite_subF: ', shape(crystallite_subF)
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write(6,'(a35,x,7(i5,x))') 'crystallite_subTemperature0: ', shape(crystallite_subTemperature0)
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write(6,'(a35,x,7(i5,x))') 'crystallite_subF0: ', shape(crystallite_subF0)
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write(6,'(a35,x,7(i5,x))') 'crystallite_subFp0: ', shape(crystallite_subFp0)
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write(6,'(a35,x,7(i5,x))') 'crystallite_subLp0: ', shape(crystallite_subLp0)
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write(6,'(a35,x,7(i5,x))') 'crystallite_P: ', shape(crystallite_P)
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write(6,'(a35,x,7(i5,x))') 'crystallite_Tstar_v: ', shape(crystallite_Tstar_v)
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write(6,'(a35,x,7(i5,x))') 'crystallite_Tstar0_v: ', shape(crystallite_Tstar0_v)
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write(6,'(a35,x,7(i5,x))') 'crystallite_partionedTstar0_v: ', shape(crystallite_partionedTstar0_v)
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write(6,'(a35,x,7(i5,x))') 'crystallite_subTstar0_v: ', shape(crystallite_subTstar0_v)
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write(6,'(a35,x,7(i5,x))') 'crystallite_dPdF: ', shape(crystallite_dPdF)
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write(6,'(a35,x,7(i5,x))') 'crystallite_fallbackdPdF: ', shape(crystallite_fallbackdPdF)
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write(6,'(a35,x,7(i5,x))') 'crystallite_dt: ', shape(crystallite_dt)
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write(6,'(a35,x,7(i5,x))') 'crystallite_subdt: ', shape(crystallite_subdt)
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write(6,'(a35,x,7(i5,x))') 'crystallite_subFrac: ', shape(crystallite_subFrac)
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write(6,'(a35,x,7(i5,x))') 'crystallite_subStep: ', shape(crystallite_subStep)
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write(6,'(a35,x,7(i5,x))') 'crystallite_localConstitution: ', shape(crystallite_localConstitution)
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write(6,'(a35,x,7(i5,x))') 'crystallite_requested: ', shape(crystallite_requested)
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write(6,'(a35,x,7(i5,x))') 'crystallite_onTrack: ', shape(crystallite_onTrack)
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write(6,'(a35,x,7(i5,x))') 'crystallite_converged: ', shape(crystallite_converged)
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write(6,'(a35,x,7(i5,x))') 'crystallite_stateConverged: ', shape(crystallite_stateConverged)
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write(6,'(a35,x,7(i5,x))') 'crystallite_temperatureConverged: ', shape(crystallite_temperatureConverged)
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write(6,'(a35,x,7(i5,x))') 'crystallite_todo: ', shape(crystallite_todo)
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write(6,*)
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write(6,*) 'Number of nonlocal grains: ',count(.not. crystallite_localConstitution)
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call flush(6)
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!$OMPEND CRITICAL (write2out)
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call debug_info()
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call debug_reset()
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return
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endsubroutine
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!********************************************************************
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! calculate stress (P) and tangent (dPdF) for crystallites
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!********************************************************************
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subroutine crystallite_stressAndItsTangent(updateJaco)
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!*** variables and functions from other modules ***!
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use prec, only: pInt, &
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pReal
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use numerics, only: subStepMinCryst, &
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subStepSizeCryst, &
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stepIncreaseCryst, &
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pert_Fg, &
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pert_method, &
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nState, &
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nCryst
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use debug, only: debugger, &
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debug_CrystalliteLoopDistribution, &
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debug_CrystalliteStateLoopDistribution, &
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debug_StiffnessStateLoopDistribution
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use IO, only: IO_warning
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use math, only: math_inv3x3, &
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math_mul33x33, &
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math_mul66x6, &
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math_Mandel6to33, &
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math_Mandel33to6, &
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math_I3, &
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math_Plain3333to99
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use FEsolving, only: FEsolving_execElem, &
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FEsolving_execIP, &
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theInc, &
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cycleCounter
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use mesh, only: mesh_element, &
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mesh_NcpElems, &
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mesh_maxNips
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use material, only: homogenization_Ngrains, &
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homogenization_maxNgrains
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use constitutive, only: constitutive_maxSizeState, &
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constitutive_maxSizeDotState, &
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constitutive_sizeState, &
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constitutive_sizeDotState, &
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constitutive_state, &
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constitutive_subState0, &
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constitutive_partionedState0, &
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constitutive_homogenizedC, &
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constitutive_dotState, &
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constitutive_previousDotState, &
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constitutive_previousDotState2, &
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constitutive_collectDotState, &
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constitutive_dotTemperature, &
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constitutive_microstructure
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implicit none
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!*** input variables ***!
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logical, intent(in) :: updateJaco ! flag indicating wehther we want to update the Jacobian (stiffness) or not
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!*** output variables ***!
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!*** local variables ***!
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real(pReal) myTemperature ! local copy of the temperature
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real(pReal), dimension(3,3) :: invFp, & ! inverse of the plastic deformation gradient
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Fe_guess, & ! guess for elastic deformation gradient
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Tstar ! 2nd Piola-Kirchhoff stress tensor
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integer(pInt) NiterationCrystallite, & ! number of iterations in crystallite loop
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NiterationState ! number of iterations in state loop
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integer(pInt) e, ee, & ! element index
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i, ii, & ! integration point index
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g, gg, & ! grain index
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k, &
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l, &
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comp, &
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myNgrains, &
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mySizeState, &
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mySizeDotState
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integer(pInt), dimension(2,9) :: kl
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logical onTrack, & ! flag indicating whether we are still on track
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temperatureConverged, & ! flag indicating if temperature converged
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stateConverged, & ! flag indicating if state converged
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converged ! flag indicating if iteration converged
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real(pReal), dimension(9,9) :: dPdF99
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real(pReal), dimension(3,3,3,3) :: dPdF_pos,dPdF_neg
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real(pReal), dimension(constitutive_maxSizeDotState) :: delta_dotState1, & ! difference between current and previous dotstate
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delta_dotState2 ! difference between previousDotState and previousDotState2
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real(pReal) dot_prod12, &
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dot_prod22
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real(pReal), dimension(3,3,homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems) :: &
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storedF, &
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storedFp, &
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storedInvFp, &
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storedFe, &
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storedLp, &
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storedP
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real(pReal), dimension(6,homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems) :: &
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storedTstar_v
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real(pReal), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems) :: &
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storedTemperature
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real(pReal), dimension(constitutive_maxSizeState,homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems) :: &
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storedState, &
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storedDotState
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logical, dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems) :: &
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storedConvergenceFlag
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logical, dimension(3,3) :: mask
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! ------ initialize to starting condition ------
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!$OMP CRITICAL (write2out)
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! write (6,*)
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! write (6,*) 'Crystallite request from Materialpoint'
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! write (6,'(a,/,(f12.7,x))') 'crystallite_partionedTemp0 of 1 1 1' ,crystallite_partionedTemperature0(1,1,1)
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! write (6,'(a,/,3(3(f12.7,x)/))') 'crystallite_partionedF0 of 1 1 1' ,crystallite_partionedF0(1:3,:,1,1,1)
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! write (6,'(a,/,3(3(f12.7,x)/))') 'crystallite_partionedFp0 of 1 1 1' ,crystallite_partionedFp0(1:3,:,1,1,1)
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! write (6,'(a,/,3(3(f12.7,x)/))') 'crystallite_partionedF of 1 1 1' ,crystallite_partionedF(1:3,:,1,1,1)
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! write (6,'(a,/,3(3(f12.7,x)/))') 'crystallite_partionedLp0 of 1 1 1' ,crystallite_partionedLp0(1:3,:,1,1,1)
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!$OMPEND CRITICAL (write2out)
|
|
|
|
crystallite_subStep = 0.0_pReal
|
|
|
|
!$OMP PARALLEL DO
|
|
do e = FEsolving_execElem(1),FEsolving_execElem(2) ! iterate over elements to be processed
|
|
myNgrains = homogenization_Ngrains(mesh_element(3,e))
|
|
do i = FEsolving_execIP(1,e),FEsolving_execIP(2,e) ! iterate over IPs of this element to be processed
|
|
do g = 1,myNgrains
|
|
if (crystallite_requested(g,i,e)) then ! initialize restoration point of ...
|
|
crystallite_subTemperature0(g,i,e) = crystallite_partionedTemperature0(g,i,e) ! ...temperature
|
|
constitutive_subState0(g,i,e)%p = constitutive_partionedState0(g,i,e)%p ! ...microstructure
|
|
crystallite_subFp0(:,:,g,i,e) = crystallite_partionedFp0(:,:,g,i,e) ! ...plastic def grad
|
|
crystallite_subLp0(:,:,g,i,e) = crystallite_partionedLp0(:,:,g,i,e) ! ...plastic velocity grad
|
|
crystallite_subF0(:,:,g,i,e) = crystallite_partionedF0(:,:,g,i,e) ! ...def grad
|
|
crystallite_subTstar0_v(:,g,i,e) = crystallite_partionedTstar0_v(:,g,i,e) ! ...2nd PK stress
|
|
|
|
crystallite_subFrac(g,i,e) = 0.0_pReal
|
|
crystallite_subStep(g,i,e) = 1.0_pReal/subStepSizeCryst ! <<added flexibility in cutback size>>
|
|
crystallite_onTrack(g,i,e) = .true.
|
|
crystallite_converged(g,i,e) = .false. ! pretend failed step of twice the required size
|
|
endif
|
|
enddo
|
|
enddo
|
|
enddo
|
|
!$OMPEND PARALLEL DO
|
|
|
|
|
|
! --+>> crystallite loop <<+--
|
|
|
|
NiterationCrystallite = 0_pInt
|
|
|
|
do while (any(crystallite_subStep(:,:,FEsolving_execELem(1):FEsolving_execElem(2)) > subStepMinCryst)) ! cutback loop for crystallites
|
|
|
|
!$OMP PARALLEL DO
|
|
do e = FEsolving_execElem(1),FEsolving_execElem(2) ! iterate over elements to be processed
|
|
myNgrains = homogenization_Ngrains(mesh_element(3,e))
|
|
do i = FEsolving_execIP(1,e),FEsolving_execIP(2,e) ! iterate over IPs of this element to be processed
|
|
do g = 1,myNgrains
|
|
! debugger = (e == 1 .and. i == 1 .and. g == 1)
|
|
if (crystallite_converged(g,i,e)) then
|
|
if (debugger) then
|
|
!$OMP CRITICAL (write2out)
|
|
write(6,'(a21,f10.8,a32,f10.8,a35)') 'winding forward from ', &
|
|
crystallite_subFrac(g,i,e),' to current crystallite_subfrac ', &
|
|
crystallite_subFrac(g,i,e)+crystallite_subStep(g,i,e),' in crystallite_stressAndItsTangent'
|
|
write(6,*)
|
|
!$OMPEND CRITICAL (write2out)
|
|
endif
|
|
crystallite_subFrac(g,i,e) = crystallite_subFrac(g,i,e) + crystallite_subStep(g,i,e)
|
|
crystallite_subStep(g,i,e) = min(1.0_pReal-crystallite_subFrac(g,i,e), &
|
|
stepIncreaseCryst*crystallite_subStep(g,i,e)) ! <<introduce possibility for acceleration>>
|
|
if (crystallite_subStep(g,i,e) > subStepMinCryst) then
|
|
crystallite_subTemperature0(g,i,e) = crystallite_Temperature(g,i,e) ! wind forward...
|
|
crystallite_subF0(:,:,g,i,e) = crystallite_subF(:,:,g,i,e) ! ...def grad
|
|
crystallite_subFp0(:,:,g,i,e) = crystallite_Fp(:,:,g,i,e) ! ...plastic def grad
|
|
crystallite_subLp0(:,:,g,i,e) = crystallite_Lp(:,:,g,i,e) ! ...plastic velocity gradient
|
|
constitutive_subState0(g,i,e)%p = constitutive_state(g,i,e)%p ! ...microstructure
|
|
crystallite_subTstar0_v(:,g,i,e) = crystallite_Tstar_v(:,g,i,e) ! ...2nd PK stress
|
|
elseif (crystallite_onTrack(g,i,e)) then ! this crystallite just converged
|
|
!$OMP CRITICAL (distributionCrystallite)
|
|
debug_CrystalliteLoopDistribution(min(nCryst+1,NiterationCrystallite)) = &
|
|
debug_CrystalliteLoopDistribution(min(nCryst+1,NiterationCrystallite)) + 1
|
|
!$OMPEND CRITICAL (distributionCrystallite)
|
|
endif
|
|
else
|
|
crystallite_subStep(g,i,e) = subStepSizeCryst*crystallite_subStep(g,i,e) ! cut step in half and restore...
|
|
crystallite_Temperature(g,i,e) = crystallite_subTemperature0(g,i,e) ! ...temperature
|
|
crystallite_Fp(:,:,g,i,e) = crystallite_subFp0(:,:,g,i,e) ! ...plastic def grad
|
|
crystallite_invFp(:,:,g,i,e) = math_inv3x3(crystallite_Fp(:,:,g,i,e))
|
|
crystallite_Lp(:,:,g,i,e) = crystallite_subLp0(:,:,g,i,e) ! ...plastic velocity grad
|
|
constitutive_state(g,i,e)%p = constitutive_subState0(g,i,e)%p ! ...microstructure
|
|
crystallite_Tstar_v(:,g,i,e) = crystallite_subTstar0_v(:,g,i,e) ! ...2nd PK stress
|
|
if (debugger) then
|
|
!$OMP CRITICAL (write2out)
|
|
write(6,'(a78,f10.8)') 'cutback step in crystallite_stressAndItsTangent with new crystallite_subStep: ',&
|
|
crystallite_subStep(g,i,e)
|
|
write(6,*)
|
|
!$OMPEND CRITICAL (write2out)
|
|
endif
|
|
endif
|
|
|
|
crystallite_onTrack(g,i,e) = crystallite_subStep(g,i,e) > subStepMinCryst ! still on track or already done (beyond repair)
|
|
if (crystallite_onTrack(g,i,e)) then ! specify task (according to substep)
|
|
crystallite_subF(:,:,g,i,e) = crystallite_subF0(:,:,g,i,e) + &
|
|
crystallite_subStep(g,i,e) * &
|
|
(crystallite_partionedF(:,:,g,i,e) - crystallite_partionedF0(:,:,g,i,e))
|
|
crystallite_Fe(:,:,g,i,e) = math_mul33x33(crystallite_subF(:,:,g,i,e),crystallite_invFp(:,:,g,i,e))
|
|
crystallite_subdt(g,i,e) = crystallite_subStep(g,i,e) * crystallite_dt(g,i,e)
|
|
crystallite_converged(g,i,e) = .false. ! start out non-converged
|
|
endif
|
|
enddo
|
|
enddo
|
|
enddo
|
|
!$OMPEND PARALLEL DO
|
|
|
|
crystallite_todo = ( crystallite_requested &
|
|
.and. crystallite_onTrack &
|
|
.and. .not. crystallite_converged)
|
|
|
|
crystallite_statedamper = 1.0_pReal
|
|
|
|
! --+>> preguess for state <<+--
|
|
!
|
|
! incrementing by crystallite_subdt
|
|
! based on constitutive_subState0
|
|
! results in constitutive_state
|
|
! first loop for collection of state evolution based on old state
|
|
! second loop for updating to new state
|
|
|
|
!$OMP PARALLEL DO
|
|
do e = FEsolving_execElem(1),FEsolving_execElem(2) ! iterate over elements to be processed
|
|
myNgrains = homogenization_Ngrains(mesh_element(3,e))
|
|
do i = FEsolving_execIP(1,e),FEsolving_execIP(2,e) ! iterate over IPs of this element to be processed
|
|
do g = 1,myNgrains
|
|
if (crystallite_todo(g,i,e)) then ! all undone crystallites
|
|
call constitutive_microstructure(crystallite_Temperature(g,i,e), crystallite_Fe, crystallite_Fp, g, i, e) ! update dependent state variables to be consistent with basic states
|
|
constitutive_previousDotState2(g,i,e)%p = 0.0_pReal
|
|
constitutive_previousDotState(g,i,e)%p = 0.0_pReal
|
|
constitutive_dotState(g,i,e)%p = 0.0_pReal ! zero out dotStates
|
|
endif
|
|
enddo; enddo; enddo
|
|
!$OMPEND PARALLEL DO
|
|
!$OMP PARALLEL DO
|
|
do e = FEsolving_execElem(1),FEsolving_execElem(2) ! iterate over elements to be processed
|
|
myNgrains = homogenization_Ngrains(mesh_element(3,e))
|
|
do i = FEsolving_execIP(1,e),FEsolving_execIP(2,e) ! iterate over IPs of this element to be processed
|
|
do g = 1,myNgrains
|
|
! debugger = (e == 1 .and. i == 1 .and. g == 1)
|
|
if (crystallite_todo(g,i,e)) then ! all undone crystallites
|
|
call constitutive_collectDotState(crystallite_Tstar_v(:,g,i,e), crystallite_subTstar0_v(:,g,i,e), &
|
|
crystallite_Fe, crystallite_Fp, crystallite_Temperature(g,i,e), &
|
|
crystallite_subdt(g,i,e), g, i, e)
|
|
endif
|
|
enddo; enddo; enddo
|
|
!$OMPEND PARALLEL DO
|
|
crystallite_statedamper = 1.0_pReal
|
|
!$OMP PARALLEL DO
|
|
do e = FEsolving_execElem(1),FEsolving_execElem(2) ! iterate over elements to be processed
|
|
myNgrains = homogenization_Ngrains(mesh_element(3,e))
|
|
do i = FEsolving_execIP(1,e),FEsolving_execIP(2,e) ! iterate over IPs of this element to be processed
|
|
do g = 1,myNgrains
|
|
! debugger = (e == 1 .and. i == 1 .and. g == 1)
|
|
if (crystallite_todo(g,i,e)) then ! all undone crystallites
|
|
crystallite_stateConverged(g,i,e) = crystallite_updateState(g,i,e) ! update state
|
|
crystallite_temperatureConverged(g,i,e) = crystallite_updateTemperature(g,i,e) ! update temperature
|
|
crystallite_converged(g,i,e) = .false. ! force at least one iteration step even if state already converged
|
|
endif
|
|
enddo; enddo; enddo
|
|
!$OMPEND PARALLEL DO
|
|
|
|
! --+>> state loop <<+--
|
|
|
|
NiterationState = 0_pInt
|
|
|
|
do while ( any(crystallite_todo(:,:,FEsolving_execELem(1):FEsolving_execElem(2))) &
|
|
.and. NiterationState < nState) ! convergence loop for crystallite
|
|
|
|
NiterationState = NiterationState + 1_pInt
|
|
|
|
! --+>> stress integration <<+--
|
|
!
|
|
! incrementing by crystallite_subdt
|
|
! based on crystallite_subF0,.._subFp0,.._subLp0
|
|
! constitutive_state is internally interpolated with .._subState0
|
|
! to account for substepping within _integrateStress
|
|
! results in crystallite_Fp,.._Lp
|
|
!$OMP PARALLEL DO
|
|
do e = FEsolving_execElem(1),FEsolving_execElem(2) ! iterate over elements to be processed
|
|
myNgrains = homogenization_Ngrains(mesh_element(3,e))
|
|
do i = FEsolving_execIP(1,e),FEsolving_execIP(2,e) ! iterate over IPs of this element to be processed
|
|
do g = 1,myNgrains
|
|
! debugger = (e == 1 .and. i == 1 .and. g == 1)
|
|
if (crystallite_todo(g,i,e)) & ! all undone crystallites
|
|
crystallite_onTrack(g,i,e) = crystallite_integrateStress(g,i,e)
|
|
enddo
|
|
enddo
|
|
enddo
|
|
!$OMPEND PARALLEL DO
|
|
if (debugger) then
|
|
!$OMP CRITICAL (write2out)
|
|
write(6,*) count(crystallite_onTrack(:,:,:)),'grains onTrack after stress integration'
|
|
!$OMPEND CRITICAL (write2out)
|
|
endif
|
|
|
|
crystallite_todo = crystallite_todo .and. crystallite_onTrack ! continue with non-broken grains
|
|
if (any(.not. crystallite_onTrack .and. .not. crystallite_localConstitution)) & ! any non-local is broken?
|
|
crystallite_todo = crystallite_todo .and. crystallite_localConstitution ! all nonlocal crystallites can be skipped
|
|
|
|
if (debugger) then
|
|
!$OMP CRITICAL (write2out)
|
|
write(6,*) count(crystallite_todo(:,:,:)),'grains todo after stress integration'
|
|
!$OMPEND CRITICAL (write2out)
|
|
endif
|
|
|
|
! --+>> state integration <<+--
|
|
!
|
|
! incrementing by crystallite_subdt
|
|
! based on constitutive_subState0
|
|
! results in constitutive_state
|
|
! first loop for collection of state evolution based on old state
|
|
! second loop for updating to new state
|
|
|
|
!$OMP PARALLEL DO
|
|
do e = FEsolving_execElem(1),FEsolving_execElem(2) ! iterate over elements to be processed
|
|
myNgrains = homogenization_Ngrains(mesh_element(3,e))
|
|
do i = FEsolving_execIP(1,e),FEsolving_execIP(2,e) ! iterate over IPs of this element to be processed
|
|
do g = 1,myNgrains
|
|
if (crystallite_todo(g,i,e)) then ! all undone crystallites
|
|
constitutive_previousDotState2(g,i,e)%p = constitutive_previousDotState(g,i,e)%p
|
|
constitutive_previousDotState(g,i,e)%p = constitutive_dotState(g,i,e)%p
|
|
constitutive_dotState(g,i,e)%p = 0.0_pReal ! zero out dotState
|
|
endif
|
|
enddo; enddo; enddo
|
|
!$OMPEND PARALLEL DO
|
|
crystallite_statedamper = 1.0_pReal
|
|
!$OMP PARALLEL DO
|
|
do e = FEsolving_execElem(1),FEsolving_execElem(2) ! iterate over elements to be processed
|
|
myNgrains = homogenization_Ngrains(mesh_element(3,e))
|
|
do i = FEsolving_execIP(1,e),FEsolving_execIP(2,e) ! iterate over IPs of this element to be processed
|
|
do g = 1,myNgrains
|
|
! debugger = (e == 1 .and. i == 1 .and. g == 1)
|
|
if (crystallite_todo(g,i,e)) then ! all undone crystallites
|
|
call constitutive_collectDotState(crystallite_Tstar_v(:,g,i,e), crystallite_subTstar0_v(:,g,i,e), &
|
|
crystallite_Fe, crystallite_Fp, crystallite_Temperature(g,i,e), &
|
|
crystallite_subdt(g,i,e), g, i, e)
|
|
delta_dotState1 = constitutive_dotState(g,i,e)%p - constitutive_previousDotState(g,i,e)%p
|
|
delta_dotState2 = constitutive_previousDotState(g,i,e)%p - constitutive_previousDotState2(g,i,e)%p
|
|
dot_prod12 = dot_product(delta_dotState1, delta_dotState2)
|
|
dot_prod22 = dot_product(delta_dotState2, delta_dotState2)
|
|
if ( dot_prod22 > 0.0_pReal &
|
|
.and. ( dot_prod12 < 0.0_pReal &
|
|
.or. dot_product(constitutive_dotState(g,i,e)%p, constitutive_previousDotState(g,i,e)%p) < 0.0_pReal) ) &
|
|
crystallite_statedamper = min(crystallite_statedamper, &
|
|
0.75_pReal + 0.25_pReal * tanh(2.0_pReal + 4.0_pReal * dot_prod12 / dot_prod22) )
|
|
endif
|
|
enddo; enddo; enddo
|
|
!$OMPEND PARALLEL DO
|
|
!$OMP PARALLEL DO
|
|
do e = FEsolving_execElem(1),FEsolving_execElem(2) ! iterate over elements to be processed
|
|
myNgrains = homogenization_Ngrains(mesh_element(3,e))
|
|
do i = FEsolving_execIP(1,e),FEsolving_execIP(2,e) ! iterate over IPs of this element to be processed
|
|
do g = 1,myNgrains
|
|
! debugger = (e == 1 .and. i == 1 .and. g == 1)
|
|
if (crystallite_todo(g,i,e)) then ! all undone crystallites
|
|
crystallite_stateConverged(g,i,e) = crystallite_updateState(g,i,e) ! update state
|
|
crystallite_temperatureConverged(g,i,e) = crystallite_updateTemperature(g,i,e) ! update temperature
|
|
crystallite_converged(g,i,e) = crystallite_stateConverged(g,i,e) .and. crystallite_temperatureConverged(g,i,e)
|
|
if (crystallite_converged(g,i,e)) then
|
|
!$OMP CRITICAL (distributionState)
|
|
debug_CrystalliteStateLoopDistribution(NiterationState) = &
|
|
debug_CrystalliteStateLoopDistribution(NiterationState) + 1
|
|
!$OMPEND CRITICAL (distributionState)
|
|
endif
|
|
endif
|
|
enddo
|
|
enddo
|
|
enddo
|
|
!$OMPEND PARALLEL DO
|
|
|
|
if (debugger) then
|
|
!$OMP CRITICAL (write2out)
|
|
write(6,*) count(crystallite_converged(:,:,:)),'grains converged after state integration no.', NiterationState
|
|
!$OMPEND CRITICAL (write2out)
|
|
endif
|
|
if (any(.not. crystallite_converged .and. .not. crystallite_localConstitution)) & ! any non-local not yet converged?
|
|
crystallite_converged = crystallite_converged .and. crystallite_localConstitution ! all non-local not converged
|
|
|
|
crystallite_todo = crystallite_todo .and. .not. crystallite_converged ! skip all converged
|
|
|
|
if (debugger) then
|
|
!$OMP CRITICAL (write2out)
|
|
write(6,*) count(crystallite_converged(:,:,:)),'grains converged after non-local check'
|
|
write(6,*) count(crystallite_todo(:,:,:)),'grains todo after state integration no.', NiterationState
|
|
write(6,*)
|
|
!$OMPEND CRITICAL (write2out)
|
|
endif
|
|
|
|
enddo ! crystallite convergence loop
|
|
|
|
NiterationCrystallite = NiterationCrystallite + 1
|
|
|
|
enddo ! cutback loop
|
|
|
|
! ------ check for non-converged crystallites ------
|
|
|
|
!$OMP PARALLEL DO
|
|
do e = FEsolving_execElem(1),FEsolving_execElem(2) ! iterate over elements to be processed
|
|
myNgrains = homogenization_Ngrains(mesh_element(3,e))
|
|
do i = FEsolving_execIP(1,e),FEsolving_execIP(2,e) ! iterate over IPs of this element to be processed
|
|
do g = 1,myNgrains
|
|
if (.not. crystallite_converged(g,i,e)) then ! respond fully elastically (might be not required due to becoming terminally ill anyway)
|
|
! call IO_warning(600,e,i,g)
|
|
invFp = math_inv3x3(crystallite_partionedFp0(:,:,g,i,e))
|
|
Fe_guess = math_mul33x33(crystallite_partionedF(:,:,g,i,e),invFp)
|
|
Tstar = math_Mandel6to33( &
|
|
math_mul66x6( 0.5_pReal*constitutive_homogenizedC(g,i,e), &
|
|
math_Mandel33to6( math_mul33x33(transpose(Fe_guess),Fe_guess) - math_I3 ) &
|
|
) &
|
|
)
|
|
crystallite_P(:,:,g,i,e) = math_mul33x33(Fe_guess,math_mul33x33(Tstar,transpose(invFp)))
|
|
endif
|
|
enddo
|
|
enddo
|
|
enddo
|
|
!$OMPEND PARALLEL DO
|
|
|
|
|
|
! --+>> stiffness calculation <<+--
|
|
|
|
if(updateJaco) then ! Jacobian required
|
|
|
|
crystallite_statedamper = 1.0_pReal
|
|
|
|
do e = FEsolving_execElem(1),FEsolving_execElem(2) ! iterate over elements to be processed
|
|
myNgrains = homogenization_Ngrains(mesh_element(3,e))
|
|
do i = FEsolving_execIP(1,e),FEsolving_execIP(2,e) ! iterate over IPs of this element to be processed
|
|
do g = 1,myNgrains
|
|
mySizeState = constitutive_sizeState(g,i,e) ! number of state variables for this grain
|
|
mySizeDotState = constitutive_sizeDotState(g,i,e) ! number of dotStates for this grain
|
|
storedState(1:mySizeState,g,i,e) = constitutive_state(g,i,e)%p ! remember unperturbed, converged state, ...
|
|
storedDotState(1:mySizeDotState,g,i,e) = constitutive_dotState(g,i,e)%p ! ... dotStates, ...
|
|
storedTemperature(g,i,e) = crystallite_Temperature(g,i,e) ! ... Temperature, ...
|
|
storedF(:,:,g,i,e) = crystallite_subF(:,:,g,i,e) ! ... and kinematics
|
|
storedFp(:,:,g,i,e) = crystallite_Fp(:,:,g,i,e)
|
|
storedInvFp(:,:,g,i,e) = crystallite_invFp(:,:,g,i,e)
|
|
storedFe(:,:,g,i,e) = crystallite_Fe(:,:,g,i,e)
|
|
storedLp(:,:,g,i,e) = crystallite_Lp(:,:,g,i,e)
|
|
storedTstar_v(:,g,i,e) = crystallite_Tstar_v(:,g,i,e)
|
|
storedP(:,:,g,i,e) = crystallite_P(:,:,g,i,e)
|
|
storedConvergenceFlag(g,i,e) = crystallite_converged(g,i,e)
|
|
enddo; enddo; enddo
|
|
|
|
if (all(crystallite_localConstitution) .or. theInc < 2) then ! all grains have local constitution, so local convergence of perturbed grain is sufficient
|
|
|
|
!$OMP PARALLEL DO
|
|
do e = FEsolving_execElem(1),FEsolving_execElem(2) ! iterate over elements to be processed
|
|
myNgrains = homogenization_Ngrains(mesh_element(3,e))
|
|
do i = FEsolving_execIP(1,e),FEsolving_execIP(2,e) ! iterate over IPs of this element to be processed
|
|
do g = 1,myNgrains
|
|
if (crystallite_requested(g,i,e)) then ! first check whether is requested at all!
|
|
if (crystallite_converged(g,i,e)) then ! grain converged in above iteration
|
|
if (debugger) then
|
|
!$OMP CRITICAL (write2out)
|
|
write (6,*) '#############'
|
|
write (6,*) 'central solution of cryst_StressAndTangent'
|
|
write (6,*) '#############'
|
|
write (6,'(a,/,3(3(f12.4,x)/))') ' P of 1 1 1',storedP(1:3,:,g,i,e)/1e6
|
|
write (6,'(a,/,3(3(f12.8,x)/))') ' Fp of 1 1 1',storedFp(1:3,:,g,i,e)
|
|
write (6,'(a,/,3(3(f12.8,x)/))') ' Lp of 1 1 1',storedLp(1:3,:,g,i,e)
|
|
!$OMPEND CRITICAL (write2out)
|
|
endif
|
|
|
|
if (pert_method == 1_pInt .or. pert_method == 3_pInt) then ! <<< when forward or central difference is desired >>>
|
|
do k = 1,3 ! perturbation...
|
|
do l = 1,3 ! ...components to the positive direction
|
|
crystallite_subF(k,l,g,i,e) = crystallite_subF(k,l,g,i,e) + pert_Fg ! perturb single component
|
|
if (debugger) then
|
|
!$OMP CRITICAL (write2out)
|
|
write (6,'(i1,x,i1)') k,l
|
|
write (6,'(a,/,3(3(f12.6,x)/))') 'pertF of 1 1 1',crystallite_subF(1:3,:,g,i,e)
|
|
!$OMPEND CRITICAL (write2out)
|
|
endif
|
|
onTrack = .true.
|
|
converged = .false.
|
|
NiterationState = 0_pInt
|
|
do while(.not. converged .and. onTrack .and. NiterationState < nState) ! keep cycling until done (potentially non-converged)
|
|
NiterationState = NiterationState + 1_pInt
|
|
onTrack = crystallite_integrateStress(g,i,e) ! stress of perturbed situation (overwrites _P,_Tstar_v,_Fp,_Lp,_Fe)
|
|
if (onTrack) then
|
|
constitutive_dotState(g,i,e)%p = 0.0_pReal
|
|
call constitutive_collectDotState(crystallite_Tstar_v(:,g,i,e), crystallite_subTstar0_v(:,g,i,e), &
|
|
crystallite_Fe, crystallite_Fp, crystallite_Temperature(g,i,e), &
|
|
crystallite_subdt(g,i,e), g, i, e)
|
|
stateConverged = crystallite_updateState(g,i,e) ! update state
|
|
temperatureConverged = crystallite_updateTemperature(g,i,e) ! update temperature
|
|
converged = stateConverged .and. temperatureConverged
|
|
endif
|
|
if (debugger) then
|
|
!$OMP CRITICAL (write2out)
|
|
write (6,*) '-------------'
|
|
write (6,'(a,x,l,x,l)') 'ontrack + converged:',onTrack,converged
|
|
write (6,'(a,/,3(3(f12.4,x)/))') 'pertP of 1 1 1',crystallite_P(1:3,:,g,i,e)/1e6
|
|
write (6,'(a,/,3(3(f12.4,x)/))') 'DP of 1 1 1',(crystallite_P(1:3,:,g,i,e)-storedP(1:3,:,g,i,e))/1e6
|
|
!$OMPEND CRITICAL (write2out)
|
|
endif
|
|
enddo
|
|
if (converged) then ! converged state warrants stiffness update
|
|
dPdF_pos(:,:,k,l) = (crystallite_P(:,:,g,i,e) - storedP(:,:,g,i,e))/pert_Fg ! tangent dP_ij/dFg_kl
|
|
if (pert_method == 1_pInt) crystallite_dPdF(:,:,k,l,g,i,e) = dPdF_pos(:,:,k,l)
|
|
endif
|
|
do ee = FEsolving_execElem(1),FEsolving_execElem(2)
|
|
myNgrains = homogenization_Ngrains(mesh_element(3,ee))
|
|
do ii = FEsolving_execIP(1,ee),FEsolving_execIP(2,ee)
|
|
do gg = 1,myNgrains
|
|
mySizeState = constitutive_sizeState(gg,ii,ee) ! number of state variables for this grain
|
|
mySizeDotState = constitutive_sizeDotState(gg,ii,ee) ! number of dotStates for this grain
|
|
constitutive_state(gg,ii,ee)%p = storedState(1:mySizeState,gg,ii,ee)
|
|
constitutive_dotState(gg,ii,ee)%p = storedDotState(1:mySizeDotState,gg,ii,ee)
|
|
crystallite_Temperature(gg,ii,ee) = storedTemperature(gg,ii,ee)
|
|
crystallite_subF(:,:,gg,ii,ee) = storedF(:,:,gg,ii,ee)
|
|
crystallite_Fp(:,:,gg,ii,ee) = storedFp(:,:,gg,ii,ee)
|
|
crystallite_invFp(:,:,gg,ii,ee) = storedInvFp(:,:,gg,ii,ee)
|
|
crystallite_Fe(:,:,gg,ii,ee) = storedFe(:,:,gg,ii,ee)
|
|
crystallite_Lp(:,:,gg,ii,ee) = storedLp(:,:,gg,ii,ee)
|
|
crystallite_Tstar_v(:,gg,ii,ee) = storedTstar_v(:,gg,ii,ee)
|
|
crystallite_P(:,:,gg,ii,ee) = storedP(:,:,gg,ii,ee)
|
|
enddo; enddo; enddo
|
|
!$OMP CRITICAL (out)
|
|
debug_StiffnessStateLoopDistribution(NiterationState) = &
|
|
debug_StiffnessstateLoopDistribution(NiterationState) + 1
|
|
!$OMPEND CRITICAL (out)
|
|
enddo
|
|
enddo
|
|
endif
|
|
|
|
if (pert_method == 2_pInt .or. pert_method == 3_pInt) then ! <<< when backward or central difference is desired >>>
|
|
do k = 1,3 ! perturbation...
|
|
do l = 1,3 ! ...components to the negative direction
|
|
crystallite_subF(k,l,g,i,e) = crystallite_subF(k,l,g,i,e) - pert_Fg ! perturb single component
|
|
if (debugger) then
|
|
!$OMP CRITICAL (write2out)
|
|
write (6,'(i1,x,i1)') k,l
|
|
write (6,'(a,/,3(3(f12.6,x)/))') 'pertF of 1 1 1',crystallite_subF(1:3,:,g,i,e)
|
|
!$OMPEND CRITICAL (write2out)
|
|
endif
|
|
onTrack = .true.
|
|
converged = .false.
|
|
NiterationState = 0_pInt
|
|
do while(.not. converged .and. onTrack .and. NiterationState < nState) ! keep cycling until done (potentially non-converged)
|
|
NiterationState = NiterationState + 1_pInt
|
|
onTrack = crystallite_integrateStress(g,i,e) ! stress of perturbed situation (overwrites _P,_Tstar_v,_Fp,_Lp,_Fe)
|
|
if (onTrack) then
|
|
constitutive_dotState(g,i,e)%p = 0.0_pReal
|
|
call constitutive_collectDotState(crystallite_Tstar_v(:,g,i,e), crystallite_subTstar0_v(:,g,i,e), &
|
|
crystallite_Fe, crystallite_Fp, crystallite_Temperature(g,i,e), &
|
|
crystallite_subdt(g,i,e), g, i, e)
|
|
stateConverged = crystallite_updateState(g,i,e) ! update state
|
|
temperatureConverged = crystallite_updateTemperature(g,i,e) ! update temperature
|
|
converged = stateConverged .and. temperatureConverged
|
|
endif
|
|
if (debugger) then
|
|
!$OMP CRITICAL (write2out)
|
|
write (6,*) '-------------'
|
|
write (6,'(a,x,l,x,l)') 'ontrack + converged:',onTrack,converged
|
|
write (6,'(a,/,3(3(f12.4,x)/))') 'pertP of 1 1 1',crystallite_P(1:3,:,g,i,e)/1e6
|
|
write (6,'(a,/,3(3(f12.4,x)/))') 'DP of 1 1 1',(crystallite_P(1:3,:,g,i,e)-storedP(1:3,:,g,i,e))/1e6
|
|
!$OMPEND CRITICAL (write2out)
|
|
endif
|
|
enddo
|
|
if (converged) then ! converged state warrants stiffness update
|
|
dPdF_neg(:,:,k,l) = (storedP(:,:,g,i,e) - crystallite_P(:,:,g,i,e))/pert_Fg ! tangent dP_ij/dFg_kl
|
|
if (pert_method == 2_pInt) crystallite_dPdF(:,:,k,l,g,i,e) = dPdF_neg(:,:,k,l)
|
|
endif
|
|
do ee = FEsolving_execElem(1),FEsolving_execElem(2)
|
|
myNgrains = homogenization_Ngrains(mesh_element(3,ee))
|
|
do ii = FEsolving_execIP(1,ee),FEsolving_execIP(2,ee)
|
|
do gg = 1,myNgrains
|
|
mySizeState = constitutive_sizeState(gg,ii,ee) ! number of state variables for this grain
|
|
mySizeDotState = constitutive_sizeDotState(gg,ii,ee) ! number of dotStates for this grain
|
|
constitutive_state(gg,ii,ee)%p = storedState(1:mySizeState,gg,ii,ee)
|
|
constitutive_dotState(gg,ii,ee)%p = storedDotState(1:mySizeDotState,gg,ii,ee)
|
|
crystallite_Temperature(gg,ii,ee) = storedTemperature(gg,ii,ee)
|
|
crystallite_subF(:,:,gg,ii,ee) = storedF(:,:,gg,ii,ee)
|
|
crystallite_Fp(:,:,gg,ii,ee) = storedFp(:,:,gg,ii,ee)
|
|
crystallite_invFp(:,:,gg,ii,ee) = storedInvFp(:,:,gg,ii,ee)
|
|
crystallite_Fe(:,:,gg,ii,ee) = storedFe(:,:,gg,ii,ee)
|
|
crystallite_Lp(:,:,gg,ii,ee) = storedLp(:,:,gg,ii,ee)
|
|
crystallite_Tstar_v(:,gg,ii,ee) = storedTstar_v(:,gg,ii,ee)
|
|
crystallite_P(:,:,gg,ii,ee) = storedP(:,:,gg,ii,ee)
|
|
enddo; enddo; enddo
|
|
!$OMP CRITICAL (out)
|
|
debug_StiffnessStateLoopDistribution(NiterationState) = &
|
|
debug_StiffnessstateLoopDistribution(NiterationState) + 1
|
|
!$OMPEND CRITICAL (out)
|
|
enddo
|
|
enddo
|
|
endif
|
|
|
|
if (pert_method == 3_pInt) crystallite_dPdF(:,:,:,:,g,i,e) = 0.5_pReal*(dPdF_neg + dPdF_pos)
|
|
|
|
else ! grain did not converge
|
|
crystallite_dPdF(:,:,:,:,g,i,e) = crystallite_fallbackdPdF(:,:,:,:,g,i,e) ! use (elastic) fallback
|
|
endif ! grain convergence
|
|
endif ! grain request
|
|
enddo ! grain loop
|
|
enddo ! ip loop
|
|
enddo ! element loop
|
|
!$OMPEND PARALLEL DO
|
|
|
|
elseif (any(.not. crystallite_localConstitution)) then ! if any nonlocal grain present, we have to do a full loop over all grains after each perturbance
|
|
|
|
do e = FEsolving_execElem(1),FEsolving_execElem(2)
|
|
myNgrains = homogenization_Ngrains(mesh_element(3,e))
|
|
do i = FEsolving_execIP(1,e),FEsolving_execIP(2,e)
|
|
do g = 1,myNgrains
|
|
|
|
! perturb components in the order of biggest change in F (-> component with biggest change in F is perturbed in first cycle, component with second biggest change in next cycle, ...)
|
|
mask = .true.
|
|
do comp = 1,9
|
|
kl(:,comp) = maxloc(abs(crystallite_subF(:,:,g,i,e)-crystallite_F0(:,:,g,i,e)), mask)
|
|
mask(kl(1,comp),kl(2,comp)) = .false.
|
|
enddo
|
|
k = kl(1,mod((cycleCounter-1)/2+1,9))
|
|
l = kl(2,mod((cycleCounter-1)/2+1,9))
|
|
|
|
crystallite_subF(k,l,g,i,e) = crystallite_subF(k,l,g,i,e) + pert_Fg ! perturb single component
|
|
|
|
NiterationState = 0_pInt
|
|
crystallite_todo = .true.
|
|
do while ( any(crystallite_todo(:,:,FEsolving_execELem(1):FEsolving_execElem(2))) &
|
|
.and. NiterationState < nState)
|
|
NiterationState = NiterationState + 1_pInt
|
|
|
|
do ee = FEsolving_execElem(1),FEsolving_execElem(2)
|
|
myNgrains = homogenization_Ngrains(mesh_element(3,ee))
|
|
do ii = FEsolving_execIP(1,ee),FEsolving_execIP(2,ee)
|
|
do gg = 1,myNgrains
|
|
if (crystallite_todo(gg,ii,ee)) &
|
|
crystallite_onTrack(gg,ii,ee) = crystallite_integrateStress(gg,ii,ee) ! stress integration
|
|
enddo; enddo; enddo
|
|
|
|
crystallite_todo = crystallite_todo .and. crystallite_onTrack ! continue with non-broken grains
|
|
if (any(.not. crystallite_onTrack .and. .not. crystallite_localConstitution)) & ! any non-local is broken?
|
|
crystallite_todo = crystallite_todo .and. crystallite_localConstitution ! all nonlocal crystallites can be skipped
|
|
|
|
do ee = FEsolving_execElem(1),FEsolving_execElem(2)
|
|
myNgrains = homogenization_Ngrains(mesh_element(3,ee))
|
|
do ii = FEsolving_execIP(1,ee),FEsolving_execIP(2,ee)
|
|
do gg = 1,myNgrains
|
|
if (crystallite_todo(gg,ii,ee)) &
|
|
constitutive_dotState(gg,ii,ee)%p = 0.0_pReal ! zero out dotState
|
|
enddo; enddo; enddo
|
|
|
|
do ee = FEsolving_execElem(1),FEsolving_execElem(2)
|
|
myNgrains = homogenization_Ngrains(mesh_element(3,ee))
|
|
do ii = FEsolving_execIP(1,ee),FEsolving_execIP(2,ee)
|
|
do gg = 1,myNgrains
|
|
if (crystallite_todo(gg,ii,ee)) &
|
|
call constitutive_collectDotState(crystallite_Tstar_v(:,gg,ii,ee), crystallite_subTstar0_v(:,gg,ii,ee), &
|
|
crystallite_Fe, crystallite_Fp, crystallite_Temperature(gg,ii,ee), &
|
|
crystallite_subdt(gg,ii,ee), gg, ii, ee) ! collect dot state
|
|
enddo; enddo; enddo
|
|
|
|
do ee = FEsolving_execElem(1),FEsolving_execElem(2)
|
|
myNgrains = homogenization_Ngrains(mesh_element(3,ee))
|
|
do ii = FEsolving_execIP(1,ee),FEsolving_execIP(2,ee)
|
|
do gg = 1,myNgrains
|
|
if (crystallite_todo(gg,ii,ee)) then
|
|
crystallite_stateConverged(gg,ii,ee) = crystallite_updateState(gg,ii,ee) ! update state
|
|
crystallite_temperatureConverged(gg,ii,ee) = crystallite_updateTemperature(gg,ii,ee) ! update temperature
|
|
crystallite_converged(gg,ii,ee) = crystallite_stateConverged(gg,ii,ee) &
|
|
.and. crystallite_temperatureConverged(gg,ii,ee)
|
|
endif
|
|
enddo
|
|
enddo
|
|
enddo
|
|
|
|
if (any(.not. crystallite_converged .and. .not. crystallite_localConstitution)) & ! any non-local not yet converged?
|
|
crystallite_converged = crystallite_converged .and. crystallite_localConstitution ! all non-local not converged
|
|
|
|
crystallite_todo = crystallite_todo .and. .not. crystallite_converged ! skip all converged
|
|
|
|
enddo ! state loop
|
|
|
|
if (all(crystallite_converged(:,:,FEsolving_execELem(1):FEsolving_execElem(2)))) then
|
|
crystallite_dPdF(:,:,k,l,g,i,e) = (crystallite_P(:,:,g,i,e) - storedP(:,:,g,i,e))/pert_Fg ! tangent dP_ij/dFg_kl
|
|
else ! grain did not converge
|
|
crystallite_dPdF(:,:,k,l,g,i,e) = crystallite_fallbackdPdF(:,:,k,l,g,i,e) ! use (elastic) fallback
|
|
endif
|
|
|
|
do ee = FEsolving_execElem(1),FEsolving_execElem(2)
|
|
myNgrains = homogenization_Ngrains(mesh_element(3,ee))
|
|
do ii = FEsolving_execIP(1,ee),FEsolving_execIP(2,ee)
|
|
do gg = 1,myNgrains
|
|
mySizeState = constitutive_sizeState(gg,ii,ee)
|
|
mySizeDotState = constitutive_sizeDotState(gg,ii,ee)
|
|
constitutive_state(gg,ii,ee)%p = storedState(1:mySizeState,gg,ii,ee)
|
|
constitutive_dotState(gg,ii,ee)%p = storedDotState(1:mySizeDotState,gg,ii,ee)
|
|
crystallite_Temperature(gg,ii,ee) = storedTemperature(gg,ii,ee)
|
|
crystallite_subF(:,:,gg,ii,ee) = storedF(:,:,gg,ii,ee)
|
|
crystallite_Fp(:,:,gg,ii,ee) = storedFp(:,:,gg,ii,ee)
|
|
crystallite_invFp(:,:,gg,ii,ee) = storedInvFp(:,:,gg,ii,ee)
|
|
crystallite_Fe(:,:,gg,ii,ee) = storedFe(:,:,gg,ii,ee)
|
|
crystallite_Lp(:,:,gg,ii,ee) = storedLp(:,:,gg,ii,ee)
|
|
crystallite_Tstar_v(:,gg,ii,ee) = storedTstar_v(:,gg,ii,ee)
|
|
crystallite_P(:,:,gg,ii,ee) = storedP(:,:,gg,ii,ee)
|
|
enddo; enddo; enddo
|
|
|
|
enddo; enddo; enddo ! element,ip,grain loop (e,i,g)
|
|
crystallite_converged = storedConvergenceFlag
|
|
|
|
|
|
|
|
|
|
|
|
endif
|
|
|
|
endif ! jacobian calculation
|
|
|
|
endsubroutine
|
|
|
|
|
|
|
|
!********************************************************************
|
|
! update the internal state of the constitutive law
|
|
! and tell whether state has converged
|
|
!********************************************************************
|
|
function crystallite_updateState(&
|
|
g,& ! grain number
|
|
i,& ! integration point number
|
|
e & ! element number
|
|
)
|
|
|
|
!*** variables and functions from other modules ***!
|
|
use prec, only: pReal, &
|
|
pInt, &
|
|
pLongInt
|
|
use numerics, only: rTol_crystalliteState
|
|
use constitutive, only: constitutive_dotState, &
|
|
constitutive_previousDotState, &
|
|
constitutive_sizeDotState, &
|
|
constitutive_subState0, &
|
|
constitutive_state, &
|
|
constitutive_relevantState, &
|
|
constitutive_microstructure
|
|
use debug, only: debugger
|
|
use FEsolving, only: cycleCounter, theInc
|
|
|
|
!*** input variables ***!
|
|
integer(pInt), intent(in):: e, & ! element index
|
|
i, & ! integration point index
|
|
g ! grain index
|
|
|
|
!*** output variables ***!
|
|
logical crystallite_updateState ! flag indicating if integration suceeded
|
|
|
|
!*** local variables ***!
|
|
real(pReal), dimension(constitutive_sizeDotState(g,i,e)) :: residuum ! residuum from evolution of microstructure
|
|
integer(pInt) mySize
|
|
|
|
|
|
mySize = constitutive_sizeDotState(g,i,e)
|
|
|
|
! correct my dotState
|
|
constitutive_dotState(g,i,e)%p(1:mySize) = constitutive_dotState(g,i,e)%p(1:mySize) * crystallite_statedamper &
|
|
+ constitutive_previousDotState(g,i,e)%p(1:mySize) * (1.0_pReal-crystallite_statedamper)
|
|
! calculate the residuum
|
|
residuum = constitutive_state(g,i,e)%p(1:mySize) - constitutive_subState0(g,i,e)%p(1:mySize) &
|
|
- constitutive_dotState(g,i,e)%p(1:mySize) * crystallite_subdt(g,i,e)
|
|
|
|
! if NaN occured then return without changing the state
|
|
if (any(residuum/=residuum)) then
|
|
crystallite_updateState = .false. ! indicate state update failed
|
|
crystallite_onTrack(g,i,e) = .false. ! no need to calculate any further
|
|
if (debugger) then
|
|
!$OMP CRITICAL (write2out)
|
|
write(6,*) '::: updateState encountered NaN',g,i,e
|
|
!$OMPEND CRITICAL (write2out)
|
|
endif
|
|
return
|
|
endif
|
|
|
|
! update the microstructure
|
|
constitutive_state(g,i,e)%p(1:mySize) = constitutive_state(g,i,e)%p(1:mySize) - residuum
|
|
call constitutive_microstructure(crystallite_Temperature(g,i,e), crystallite_Fe, crystallite_Fp, g, i, e)
|
|
|
|
|
|
! setting flag to true if state is below relative tolerance, otherwise set it to false
|
|
crystallite_updateState = all( constitutive_state(g,i,e)%p(1:mySize) < constitutive_relevantState(g,i,e)%p(1:mySize) &
|
|
.or. abs(residuum) < rTol_crystalliteState*abs(constitutive_state(g,i,e)%p(1:mySize)))
|
|
if (debugger) then
|
|
!$OMP CRITICAL (write2out)
|
|
if (crystallite_updateState) then
|
|
write(6,*) '::: updateState converged',g,i,e
|
|
else
|
|
write(6,*) '::: updateState did not converge',g,i,e
|
|
endif
|
|
write(6,*)
|
|
write(6,'(a,f6.1)') 'crystallite_statedamper',crystallite_statedamper
|
|
write(6,*)
|
|
write(6,'(a,/,12(e12.5,x))') 'dotState',constitutive_dotState(g,i,e)%p(1:mySize)
|
|
write(6,*)
|
|
write(6,'(a,/,12(e12.5,x))') 'new state',constitutive_state(g,i,e)%p(1:mySize)
|
|
write(6,*)
|
|
write(6,'(a,/,12(f12.1,x))') 'resid tolerance',abs(residuum/rTol_crystalliteState/constitutive_state(g,i,e)%p(1:mySize))
|
|
write(6,*)
|
|
!$OMPEND CRITICAL (write2out)
|
|
endif
|
|
return
|
|
|
|
endfunction
|
|
|
|
|
|
!********************************************************************
|
|
! update the temperature of the grain
|
|
! and tell whether it has converged
|
|
!********************************************************************
|
|
function crystallite_updateTemperature(&
|
|
g,& ! grain number
|
|
i,& ! integration point number
|
|
e & ! element number
|
|
)
|
|
|
|
!*** variables and functions from other modules ***!
|
|
use prec, only: pReal, &
|
|
pInt, &
|
|
pLongInt
|
|
use numerics, only: rTol_crystalliteTemperature
|
|
use constitutive, only: constitutive_dotTemperature
|
|
use debug, only: debugger, &
|
|
debug_cumDotTemperatureCalls, &
|
|
debug_cumDotTemperatureTicks
|
|
|
|
!*** input variables ***!
|
|
integer(pInt), intent(in):: e, & ! element index
|
|
i, & ! integration point index
|
|
g ! grain index
|
|
|
|
!*** output variables ***!
|
|
logical crystallite_updateTemperature ! flag indicating if integration suceeded
|
|
|
|
!*** local variables ***!
|
|
real(pReal) residuum ! residuum from evolution of temperature
|
|
integer(pLongInt) tick, &
|
|
tock, &
|
|
tickrate, &
|
|
maxticks
|
|
|
|
! calculate the residuum
|
|
call system_clock(count=tick,count_rate=tickrate,count_max=maxticks)
|
|
residuum = crystallite_Temperature(g,i,e) - crystallite_subTemperature0(g,i,e) - &
|
|
crystallite_subdt(g,i,e) * &
|
|
constitutive_dotTemperature(crystallite_Tstar_v(:,g,i,e),crystallite_Temperature(g,i,e),g,i,e)
|
|
call system_clock(count=tock,count_rate=tickrate,count_max=maxticks)
|
|
debug_cumDotTemperatureCalls = debug_cumDotTemperatureCalls + 1_pInt
|
|
debug_cumDotTemperatureTicks = debug_cumDotTemperatureTicks + tock-tick
|
|
if (tock < tick) debug_cumDotTemperatureTicks = debug_cumDotTemperatureTicks + maxticks
|
|
|
|
! if NaN occured then return without changing the state
|
|
if (residuum/=residuum) then
|
|
crystallite_updateTemperature = .false. ! indicate update failed
|
|
!$OMP CRITICAL (write2out)
|
|
write(6,*) '::: updateTemperature encountered NaN',g,i,e
|
|
!$OMPEND CRITICAL (write2out)
|
|
return
|
|
endif
|
|
|
|
! update the microstructure
|
|
crystallite_Temperature(g,i,e) = crystallite_Temperature(g,i,e) - residuum
|
|
|
|
! setting flag to true if residuum is below relative tolerance (or zero Kelvin), otherwise set it to false
|
|
crystallite_updateTemperature = crystallite_Temperature(g,i,e) == 0.0_pReal .or. &
|
|
abs(residuum) < rTol_crystalliteTemperature*crystallite_Temperature(g,i,e)
|
|
|
|
return
|
|
|
|
endfunction
|
|
|
|
|
|
|
|
!***********************************************************************
|
|
!*** calculation of stress (P) with time integration ***
|
|
!*** based on a residuum in Lp and intermediate ***
|
|
!*** acceleration of the Newton-Raphson correction ***
|
|
!***********************************************************************
|
|
function crystallite_integrateStress(&
|
|
g,& ! grain number
|
|
i,& ! integration point number
|
|
e) ! element number
|
|
|
|
!*** variables and functions from other modules ***!
|
|
use prec, only: pReal, &
|
|
pInt, &
|
|
pLongInt
|
|
use numerics, only: nStress, &
|
|
aTol_crystalliteStress, &
|
|
rTol_crystalliteStress, &
|
|
iJacoLpresiduum, &
|
|
relevantStrain
|
|
use debug, only: debugger, &
|
|
debug_cumLpCalls, &
|
|
debug_cumLpTicks, &
|
|
debug_StressLoopDistribution
|
|
use constitutive, only: constitutive_homogenizedC, &
|
|
constitutive_LpAndItsTangent
|
|
use math, only: math_mul33x33, &
|
|
math_mul66x6, &
|
|
math_mul99x99, &
|
|
math_inv3x3, &
|
|
math_invert3x3, &
|
|
math_invert, &
|
|
math_det3x3, &
|
|
math_I3, &
|
|
math_identity2nd, &
|
|
math_Mandel66to3333, &
|
|
math_Mandel6to33, &
|
|
math_mandel33to6
|
|
|
|
implicit none
|
|
|
|
!*** input variables ***!
|
|
integer(pInt), intent(in):: e, & ! element index
|
|
i, & ! integration point index
|
|
g ! grain index
|
|
|
|
!*** output variables ***!
|
|
logical crystallite_integrateStress ! flag indicating if integration suceeded
|
|
|
|
!*** local variables ***!
|
|
real(pReal), dimension(3,3):: Fg_new, & ! deformation gradient at end of timestep
|
|
Fp_current, & ! plastic deformation gradient at start of timestep
|
|
Fp_new, & ! plastic deformation gradient at end of timestep
|
|
Fe_new, & ! elastic deformation gradient at end of timestep
|
|
invFp_new, & ! inverse of Fp_new
|
|
invFp_current, & ! inverse of Fp_current
|
|
Lpguess, & ! current guess for plastic velocity gradient
|
|
Lpguess_old, & ! known last good guess for plastic velocity gradient
|
|
Lp_constitutive, & ! plastic velocity gradient resulting from constitutive law
|
|
residuum, & ! current residuum of plastic velocity gradient
|
|
residuum_old, & ! last residuum of plastic velocity gradient
|
|
A, &
|
|
B, &
|
|
BT, &
|
|
AB, &
|
|
BTA
|
|
real(pReal), dimension(6):: Tstar_v ! 2nd Piola-Kirchhoff Stress in Mandel-Notation
|
|
real(pReal), dimension(9,9):: dLpdT_constitutive, & ! partial derivative of plastic velocity gradient calculated by constitutive law
|
|
dTdLp, & ! partial derivative of 2nd Piola-Kirchhoff stress
|
|
dRdLp, & ! partial derivative of residuum (Jacobian for NEwton-Raphson scheme)
|
|
invdRdLp ! inverse of dRdLp
|
|
real(pReal), dimension(3,3,3,3):: C ! 4th rank elasticity tensor
|
|
real(pReal), dimension(6,6):: C_66 ! simplified 2nd rank elasticity tensor
|
|
real(pReal) p_hydro, & ! volumetric part of 2nd Piola-Kirchhoff Stress
|
|
det, & ! determinant
|
|
leapfrog, & ! acceleration factor for Newton-Raphson scheme
|
|
maxleap ! maximum acceleration factor
|
|
logical error ! flag indicating an error
|
|
integer(pInt) NiterationStress, & ! number of stress integrations
|
|
dummy, &
|
|
h, &
|
|
j, &
|
|
k, &
|
|
l, &
|
|
m, &
|
|
n, &
|
|
jacoCounter ! counter to check for Jacobian update
|
|
integer(pLongInt) tick, &
|
|
tock, &
|
|
tickrate, &
|
|
maxticks
|
|
|
|
! be pessimistic
|
|
crystallite_integrateStress = .false.
|
|
|
|
! feed local variables
|
|
Fg_new = crystallite_subF(:,:,g,i,e)
|
|
Fp_current = crystallite_subFp0(:,:,g,i,e)
|
|
Tstar_v = crystallite_Tstar_v(:,g,i,e)
|
|
Lpguess_old = crystallite_Lp(:,:,g,i,e) ! consider present Lp good (i.e. worth remembering) ...
|
|
Lpguess = crystallite_Lp(:,:,g,i,e) ! ... and take it as first guess
|
|
|
|
|
|
! inversion of Fp_current...
|
|
invFp_current = math_inv3x3(Fp_current)
|
|
if (all(invFp_current == 0.0_pReal)) then ! ... failed?
|
|
if (debugger) then
|
|
!$OMP CRITICAL (write2out)
|
|
write(6,*) '::: integrateStress failed on invFp_current inversion',g,i,e
|
|
write(6,*)
|
|
write(6,'(a11,3(i3,x),/,3(3(f12.7,x)/))') 'invFp_new at ',g,i,e,invFp_new
|
|
!$OMPEND CRITICAL (write2out)
|
|
endif
|
|
return
|
|
endif
|
|
|
|
A = math_mul33x33(transpose(invFp_current), math_mul33x33(transpose(Fg_new),math_mul33x33(Fg_new,invFp_current)))
|
|
|
|
! get elasticity tensor
|
|
C_66 = constitutive_homogenizedC(g,i,e)
|
|
! if (debugger) write(6,'(a,/,6(6(f10.4,x)/))') 'elasticity',C_66(1:6,:)/1e9
|
|
C = math_Mandel66to3333(C_66)
|
|
|
|
! start LpLoop with no acceleration
|
|
NiterationStress = 0_pInt
|
|
leapfrog = 1.0_pReal
|
|
maxleap = 1024.0_pReal
|
|
jacoCounter = 0_pInt
|
|
|
|
LpLoop: do
|
|
|
|
! increase loop counter
|
|
NiterationStress = NiterationStress + 1
|
|
|
|
! too many loops required ?
|
|
if (NiterationStress > nStress) then
|
|
if (debugger) then
|
|
!$OMP CRITICAL (write2out)
|
|
write(6,*) '::: integrateStress reached loop limit at ',g,i,e
|
|
write(6,*)
|
|
!$OMPEND CRITICAL (write2out)
|
|
endif
|
|
return
|
|
endif
|
|
|
|
B = math_I3 - crystallite_subdt(g,i,e)*Lpguess
|
|
BT = transpose(B)
|
|
AB = math_mul33x33(A,B)
|
|
BTA = math_mul33x33(BT,A)
|
|
|
|
! calculate 2nd Piola-Kirchhoff stress tensor
|
|
Tstar_v = 0.5_pReal*math_mul66x6(C_66,math_mandel33to6(math_mul33x33(BT,AB)-math_I3))
|
|
p_hydro = sum(Tstar_v(1:3))/3.0_pReal
|
|
forall(n=1:3) Tstar_v(n) = Tstar_v(n) - p_hydro ! get deviatoric stress tensor
|
|
|
|
! calculate plastic velocity gradient and its tangent according to constitutive law
|
|
call system_clock(count=tick,count_rate=tickrate,count_max=maxticks)
|
|
call constitutive_LpAndItsTangent(Lp_constitutive, dLpdT_constitutive, Tstar_v, crystallite_Temperature(g,i,e), g, i, e)
|
|
call system_clock(count=tock,count_rate=tickrate,count_max=maxticks)
|
|
debug_cumLpCalls = debug_cumLpCalls + 1_pInt
|
|
debug_cumLpTicks = debug_cumLpTicks + tock-tick
|
|
if (tock < tick) debug_cumLpTicks = debug_cumLpTicks + maxticks
|
|
if (debugger) then
|
|
!$OMP CRITICAL (write2out)
|
|
write(6,*) '::: integrateStress at ' ,g,i,e, ' ; iteration ', NiterationStress
|
|
write(6,*)
|
|
write(6,'(a,/,3(3(f20.7,x)/))') 'Lp_constitutive', Lp_constitutive
|
|
write(6,'(a,/,3(3(f20.7,x)/))') 'Lpguess', Lpguess
|
|
! call flush(6)
|
|
!$OMPEND CRITICAL (write2out)
|
|
endif
|
|
|
|
! update current residuum
|
|
residuum = Lpguess - Lp_constitutive
|
|
|
|
! Check for convergence of loop
|
|
if (.not.(any(residuum/=residuum)) .and. & ! exclude any NaN in residuum
|
|
( maxval(abs(residuum)) < aTol_crystalliteStress .or. & ! below absolute tolerance .or.
|
|
( any(abs(crystallite_subdt(g,i,e)*Lpguess) > relevantStrain) .and. & ! worth checking? .and.
|
|
maxval(abs(residuum/Lpguess), abs(crystallite_subdt(g,i,e)*Lpguess) > relevantStrain) < rTol_crystalliteStress & ! below relative tolerance
|
|
) &
|
|
) &
|
|
) &
|
|
exit LpLoop
|
|
|
|
! NaN occured at regular speed?
|
|
if (any(residuum/=residuum) .and. leapfrog == 1.0) then
|
|
if (debugger) then
|
|
!$OMP CRITICAL (write2out)
|
|
write(6,*) '::: integrateStress encountered NaN at ',g,i,e,' ; iteration ', NiterationStress
|
|
!$OMPEND CRITICAL (write2out)
|
|
endif
|
|
return
|
|
|
|
! something went wrong at accelerated speed?
|
|
elseif (leapfrog > 1.0_pReal .and. & ! at fast pace .and.
|
|
( sum(residuum*residuum) > sum(residuum_old*residuum_old) .or. & ! worse residuum .or.
|
|
sum(residuum*residuum_old) < 0.0_pReal .or. & ! residuum changed sign (overshoot) .or.
|
|
any(residuum/=residuum) & ! NaN occured
|
|
) &
|
|
) then
|
|
maxleap = 0.5_pReal * leapfrog ! limit next acceleration
|
|
leapfrog = 1.0_pReal ! grinding halt
|
|
jacoCounter = 0_pInt ! reset counter for Jacobian update (we want to do an update next time!)
|
|
|
|
! restore old residuum and Lp
|
|
Lpguess = Lpguess_old
|
|
residuum = residuum_old
|
|
|
|
! residuum got better
|
|
else
|
|
! calculate Jacobian for correction term
|
|
if (mod(jacoCounter, iJacoLpresiduum) == 0_pInt) then
|
|
dTdLp = 0.0_pReal
|
|
forall (h=1:3,j=1:3,k=1:3,l=1:3,m=1:3) &
|
|
dTdLp(3*(h-1)+j,3*(k-1)+l) = dTdLp(3*(h-1)+j,3*(k-1)+l) + C(h,j,l,m)*AB(k,m)+C(h,j,m,l)*BTA(m,k)
|
|
dTdLp = -0.5_pReal*crystallite_subdt(g,i,e)*dTdLp
|
|
dRdLp = math_identity2nd(9) - math_mul99x99(dLpdT_constitutive,dTdLp)
|
|
invdRdLp = 0.0_pReal
|
|
call math_invert(9,dRdLp,invdRdLp,dummy,error) ! invert dR/dLp --> dLp/dR
|
|
if (error) then
|
|
if (debugger) then
|
|
!$OMP CRITICAL (write2out)
|
|
write(6,*) '::: integrateStress failed on dR/dLp inversion at ',g,i,e,' ; iteration ', NiterationStress
|
|
write(6,*)
|
|
write(6,'(a,/,9(9(f15.3,x)/))') 'dRdLp',dRdLp
|
|
write(6,'(a,/,9(9(f15.3,x)/))') 'dLpdT_constitutive',dLpdT_constitutive
|
|
write(6,'(a,/,3(3(f20.7,x)/))') 'Lp_constitutive',Lp_constitutive
|
|
write(6,'(a,/,3(3(f20.7,x)/))') 'Lpguess',Lpguess
|
|
!$OMPEND CRITICAL (write2out)
|
|
endif
|
|
return
|
|
endif
|
|
endif
|
|
jacoCounter = jacoCounter + 1_pInt ! increase counter for jaco update
|
|
|
|
! remember current residuum and Lpguess
|
|
residuum_old = residuum
|
|
Lpguess_old = Lpguess
|
|
|
|
! accelerate?
|
|
if (NiterationStress > 1 .and. leapfrog < maxleap) leapfrog = 2.0_pReal * leapfrog
|
|
endif
|
|
|
|
! leapfrog to updated Lp
|
|
forall (k=1:3,l=1:3,m=1:3,n=1:3) &
|
|
Lpguess(k,l) = Lpguess(k,l) - leapfrog*invdRdLp(3*(k-1)+l,3*(m-1)+n)*residuum(m,n)
|
|
enddo LpLoop
|
|
|
|
! calculate new plastic and elastic deformation gradient
|
|
invFp_new = math_mul33x33(invFp_current,B)
|
|
invFp_new = invFp_new/math_det3x3(invFp_new)**(1.0_pReal/3.0_pReal) ! regularize by det
|
|
call math_invert3x3(invFp_new,Fp_new,det,error)
|
|
if (error) then
|
|
if (debugger) then
|
|
!$OMP CRITICAL (write2out)
|
|
write(6,*) '::: integrateStress failed on invFp_new inversion at ',g,i,e,' ; iteration ', NiterationStress
|
|
write(6,*)
|
|
write(6,'(a11,3(i3,x),/,3(3(f12.7,x)/))') 'invFp_new at ',g,i,e,invFp_new
|
|
!$OMPEND CRITICAL (write2out)
|
|
endif
|
|
return
|
|
endif
|
|
Fe_new = math_mul33x33(Fg_new,invFp_new) ! calc resulting Fe
|
|
|
|
! add volumetric component to 2nd Piola-Kirchhoff stress
|
|
forall (n=1:3) Tstar_v(n) = Tstar_v(n) + p_hydro
|
|
|
|
! calculate 1st Piola-Kirchhoff stress
|
|
crystallite_P(:,:,g,i,e) = math_mul33x33(Fe_new,math_mul33x33(math_Mandel6to33(Tstar_v),transpose(invFp_new)))
|
|
|
|
! store local values in global variables
|
|
crystallite_Lp(:,:,g,i,e) = Lpguess
|
|
crystallite_Tstar_v(:,g,i,e) = Tstar_v
|
|
crystallite_Fp(:,:,g,i,e) = Fp_new
|
|
crystallite_Fe(:,:,g,i,e) = Fe_new
|
|
crystallite_invFp(:,:,g,i,e) = invFp_new
|
|
|
|
! set return flag to true
|
|
crystallite_integrateStress = .true.
|
|
if (debugger) then
|
|
!$OMP CRITICAL (write2out)
|
|
write(6,*) '::: integrateStress converged at ',g,i,e,' ; iteration ', NiterationStress
|
|
write(6,*)
|
|
write(6,'(a,/,3(3(f12.7,x)/))') 'P / MPa',crystallite_P(:,:,g,i,e)/1e6
|
|
write(6,'(a,/,3(3(f12.7,x)/))') 'Lp',crystallite_Lp(:,:,g,i,e)
|
|
write(6,'(a,/,3(3(f12.7,x)/))') 'Fp',crystallite_Fp(:,:,g,i,e)
|
|
!$OMP CRITICAL (write2out)
|
|
endif
|
|
|
|
!$OMP CRITICAL (distributionStress)
|
|
debug_StressLoopDistribution(NiterationStress) = debug_StressLoopDistribution(NiterationStress) + 1
|
|
!$OMPEND CRITICAL (distributionStress)
|
|
|
|
return
|
|
|
|
endfunction
|
|
|
|
|
|
|
|
|
|
!********************************************************************
|
|
! return results of particular grain
|
|
!********************************************************************
|
|
function crystallite_postResults(&
|
|
dt,& ! time increment
|
|
g,& ! grain number
|
|
i,& ! integration point number
|
|
e & ! element number
|
|
)
|
|
|
|
!*** variables and functions from other modules ***!
|
|
use prec, only: pInt, &
|
|
pReal
|
|
use math, only: math_pDecomposition, &
|
|
math_RtoEuler, &
|
|
inDeg
|
|
use IO, only: IO_warning
|
|
use material, only: material_phase, &
|
|
material_volume
|
|
use constitutive, only: constitutive_sizePostResults, &
|
|
constitutive_postResults
|
|
|
|
implicit none
|
|
|
|
!*** input variables ***!
|
|
integer(pInt), intent(in):: e, & ! element index
|
|
i, & ! integration point index
|
|
g ! grain index
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real(pReal), intent(in):: dt ! time increment
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!*** output variables ***!
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real(pReal), dimension(1+crystallite_Nresults + 1+constitutive_sizePostResults(g,i,e)) :: crystallite_postResults
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!*** local variables ***!
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real(pReal), dimension(3,3) :: U, R
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integer(pInt) k,l,c
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logical error
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c = 0_pInt
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crystallite_postResults(c+1) = crystallite_Nresults; c = c+1_pInt ! size of (hardwired) results
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if (crystallite_Nresults >= 2) then
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crystallite_postResults(c+1) = material_phase(g,i,e)
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crystallite_postResults(c+2) = material_volume(g,i,e)
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c = c+2_pInt
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endif
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if (crystallite_Nresults >= 5) then
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call math_pDecomposition(crystallite_Fe(:,:,g,i,e),U,R,error) ! polar decomposition of Fe
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if (error) then
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call IO_warning(650,e,i,g)
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crystallite_postResults(c+1:c+3) = (/400.0,400.0,400.0/) ! fake orientation
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else
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crystallite_postResults(c+1:c+3) = math_RtoEuler(transpose(R))*inDeg ! orientation
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endif
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c = c+3_pInt
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endif
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if (crystallite_Nresults >= 14) then ! deformation gradient
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forall (k=0:2,l=0:2) crystallite_postResults(c+1+k*3+l) = crystallite_partionedF(k+1,l+1,g,i,e)
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c = c+9_pInt
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endif
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crystallite_postResults(c+1) = constitutive_sizePostResults(g,i,e); c = c+1_pInt ! size of constitutive results
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crystallite_postResults(c+1:c+constitutive_sizePostResults(g,i,e)) = &
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constitutive_postResults(crystallite_Tstar_v(:,g,i,e), crystallite_subTstar0_v(:,g,i,e), crystallite_Fe, crystallite_Fp, &
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crystallite_Temperature(g,i,e), dt, crystallite_subdt(g,i,e), g, i, e)
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c = c + constitutive_sizePostResults(g,i,e)
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return
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endfunction
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END MODULE
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!##############################################################
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