DAMASK_EICMD/src/homogenization.f90

!--------------------------------------------------------------------------------------------------
!> @author Franz Roters, Max-Planck-Institut für Eisenforschung GmbH
!> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH
!> @author Denny Tjahjanto, Max-Planck-Institut für Eisenforschung GmbH
!> @brief homogenization manager, organizing deformation partitioning and stress homogenization
!--------------------------------------------------------------------------------------------------
module homogenization
  use prec
  use IO
  use config
  use math
  use material
  use constitutive
  use FEsolving
  use discretization
  use thermal_isothermal
  use thermal_conduction
  use damage_none
  use damage_nonlocal
  use results

  implicit none
  private

  logical, public :: &
    terminallyIll = .false.                                                                         !< at least one material point is terminally ill

!--------------------------------------------------------------------------------------------------
! General variables for the homogenization at a  material point
  real(pReal),   dimension(:,:,:),     allocatable, public :: &
    homogenization_F0, &                                                                            !< def grad of IP at start of FE increment
    homogenization_F                                                                                !< def grad of IP to be reached at end of FE increment
  real(pReal),   dimension(:,:,:),     allocatable, public :: & !, protected :: &                   Issue with ifort
    homogenization_P                                                                                !< first P--K stress of IP
  real(pReal),   dimension(:,:,:,:,:), allocatable, public :: & !, protected ::  &
    homogenization_dPdF                                                                             !< tangent of first P--K stress at IP


!--------------------------------------------------------------------------------------------------
  type :: tNumerics
    integer :: &
      nMPstate                                                                                      !< materialpoint state loop limit
    real(pReal) :: &
      subStepMinHomog, &                                                                            !< minimum (relative) size of sub-step allowed during cutback in homogenization
      subStepSizeHomog, &                                                                           !< size of first substep when cutback in homogenization
      stepIncreaseHomog                                                                             !< increase of next substep size when previous substep converged in homogenization
  end type tNumerics

  type(tNumerics) :: num

  type :: tDebugOptions
    logical :: &
      basic, &
      extensive, &
      selective
    integer :: &
      element, &
      ip, &
      grain
  end type tDebugOptions

  type(tDebugOptions) :: debugHomog


!--------------------------------------------------------------------------------------------------
  interface

    module subroutine mech_init(num_homog)
      class(tNode), pointer, intent(in) :: &
        num_homog                                                                                   !< pointer to mechanical homogenization numerics data
    end subroutine mech_init

    module subroutine mech_partition(subF,ip,el)
      real(pReal), intent(in), dimension(3,3) :: &
        subF
      integer,     intent(in) :: &
        ip, &                                                                                       !< integration point
        el                                                                                          !< element number
    end subroutine mech_partition

    module subroutine mech_homogenize(ip,el)
     integer, intent(in) :: &
       ip, &                                                                                        !< integration point
       el                                                                                           !< element number
    end subroutine mech_homogenize

    module subroutine mech_results(group_base,h)

      character(len=*), intent(in) :: group_base
      integer, intent(in)          :: h

    end subroutine mech_results

! -------- ToDo ---------------------------------------------------------
    module function mech_RGC_updateState(P,F,F0,avgF,dt,dPdF,ip,el)
      logical, dimension(2) :: mech_RGC_updateState
      real(pReal), dimension(:,:,:),     intent(in)    :: &
        P,&                                                                                         !< partitioned stresses
        F,&                                                                                         !< partitioned deformation gradients
        F0                                                                                          !< partitioned initial deformation gradients
      real(pReal), dimension(:,:,:,:,:), intent(in) :: dPdF                                         !< partitioned stiffnesses
      real(pReal), dimension(3,3),       intent(in) :: avgF                                         !< average F
      real(pReal),                       intent(in) :: dt                                           !< time increment
      integer,                           intent(in) :: &
        ip, &                                                                                       !< integration point number
        el                                                                                          !< element number
    end function mech_RGC_updateState

  end interface
! -----------------------------------------------------------------------

  public ::  &
    homogenization_init, &
    materialpoint_stressAndItsTangent, &
    homogenization_results

contains


!--------------------------------------------------------------------------------------------------
!> @brief module initialization
!--------------------------------------------------------------------------------------------------
subroutine homogenization_init

  class (tNode) , pointer :: &
    num_homog, &
    num_homogGeneric, &
    debug_homogenization

  print'(/,a)', ' <<<+-  homogenization init  -+>>>'; flush(IO_STDOUT)

  debug_homogenization => config_debug%get('homogenization', defaultVal=emptyList)
  debugHomog%basic       =  debug_homogenization%contains('basic')
  debugHomog%extensive   =  debug_homogenization%contains('extensive')
  debugHomog%selective   =  debug_homogenization%contains('selective')
  debugHomog%element     =  config_debug%get_asInt('element',defaultVal = 1)
  debugHomog%ip          =  config_debug%get_asInt('integrationpoint',defaultVal = 1)
  debugHomog%grain       =  config_debug%get_asInt('grain',defaultVal = 1)

  if (debugHomog%grain < 1 &
    .or. debugHomog%grain > homogenization_Nconstituents(material_homogenizationAt(debugHomog%element))) &
    call IO_error(602,ext_msg='constituent', el=debugHomog%element, g=debugHomog%grain)


  num_homog        => config_numerics%get('homogenization',defaultVal=emptyDict)
  num_homogGeneric => num_homog%get('generic',defaultVal=emptyDict)

  num%nMPstate          = num_homogGeneric%get_asInt  ('nMPstate',     defaultVal=10)
  num%subStepMinHomog   = num_homogGeneric%get_asFloat('subStepMin',   defaultVal=1.0e-3_pReal)
  num%subStepSizeHomog  = num_homogGeneric%get_asFloat('subStepSize',  defaultVal=0.25_pReal)
  num%stepIncreaseHomog = num_homogGeneric%get_asFloat('stepIncrease', defaultVal=1.5_pReal)

  if (num%nMPstate < 1)                   call IO_error(301,ext_msg='nMPstate')
  if (num%subStepMinHomog <= 0.0_pReal)   call IO_error(301,ext_msg='subStepMinHomog')
  if (num%subStepSizeHomog <= 0.0_pReal)  call IO_error(301,ext_msg='subStepSizeHomog')
  if (num%stepIncreaseHomog <= 0.0_pReal) call IO_error(301,ext_msg='stepIncreaseHomog')


  call mech_init(num_homog)

  if (any(thermal_type == THERMAL_isothermal_ID)) call thermal_isothermal_init
  if (any(thermal_type == THERMAL_conduction_ID)) call thermal_conduction_init

  if (any(damage_type == DAMAGE_none_ID))      call damage_none_init
  if (any(damage_type == DAMAGE_nonlocal_ID))  call damage_nonlocal_init


end subroutine homogenization_init


!--------------------------------------------------------------------------------------------------
!> @brief  parallelized calculation of stress and corresponding tangent at material points
!--------------------------------------------------------------------------------------------------
subroutine materialpoint_stressAndItsTangent(dt)

  real(pReal), intent(in) :: dt                                                                     !< time increment
  integer :: &
    NiterationHomog, &
    NiterationMPstate, &
    i, &                                                                                            !< integration point number
    e, &                                                                                            !< element number
    myNgrains
  real(pReal), dimension(discretization_nIPs,discretization_Nelems) :: &
    subFrac, &
    subStep
  logical,     dimension(discretization_nIPs,discretization_Nelems) :: &
    requested, &
    converged
  logical,     dimension(2,discretization_nIPs,discretization_Nelems) :: &
    doneAndHappy
  integer :: m


!--------------------------------------------------------------------------------------------------
! initialize restoration points
  do e = FEsolving_execElem(1),FEsolving_execElem(2)
    do i = FEsolving_execIP(1),FEsolving_execIP(2);

      call constitutive_initializeRestorationPoints(i,e)

      subFrac(i,e) = 0.0_pReal
      converged(i,e) = .false.                                                                      ! pretend failed step ...
      subStep(i,e) = 1.0_pReal/num%subStepSizeHomog                                                 ! ... larger then the requested calculation
      requested(i,e) = .true.                                                                       ! everybody requires calculation

      if (homogState(material_homogenizationAt(e))%sizeState > 0) &
          homogState(material_homogenizationAt(e))%subState0(:,material_homogenizationMemberAt(i,e)) = &
          homogState(material_homogenizationAt(e))%State0(   :,material_homogenizationMemberAt(i,e))

      if (damageState(material_homogenizationAt(e))%sizeState > 0) &
          damageState(material_homogenizationAt(e))%subState0(:,material_homogenizationMemberAt(i,e)) = &
          damageState(material_homogenizationAt(e))%State0(   :,material_homogenizationMemberAt(i,e))
    enddo
  enddo

  NiterationHomog = 0

  cutBackLooping: do while (.not. terminallyIll .and. &
       any(subStep(FEsolving_execIP(1):FEsolving_execIP(2),&
                   FEsolving_execElem(1):FEsolving_execElem(2)) > num%subStepMinHomog))

    !$OMP PARALLEL DO PRIVATE(m)
    elementLooping1: do e = FEsolving_execElem(1),FEsolving_execElem(2)
      myNgrains = homogenization_Nconstituents(material_homogenizationAt(e))
      IpLooping1: do i = FEsolving_execIP(1),FEsolving_execIP(2)

        if (converged(i,e)) then
          subFrac(i,e) = subFrac(i,e) + subStep(i,e)
          subStep(i,e) = min(1.0_pReal-subFrac(i,e),num%stepIncreaseHomog*subStep(i,e))             ! introduce flexibility for step increase/acceleration

          steppingNeeded: if (subStep(i,e) > num%subStepMinHomog) then

            ! wind forward grain starting point
            call constitutive_windForward(i,e)

            if(homogState(material_homogenizationAt(e))%sizeState > 0) &
                homogState(material_homogenizationAt(e))%subState0(:,material_homogenizationMemberAt(i,e)) = &
                homogState(material_homogenizationAt(e))%State    (:,material_homogenizationMemberAt(i,e))
            if(damageState(material_homogenizationAt(e))%sizeState > 0) &
                damageState(material_homogenizationAt(e))%subState0(:,material_homogenizationMemberAt(i,e)) = &
                damageState(material_homogenizationAt(e))%State    (:,material_homogenizationMemberAt(i,e))

          endif steppingNeeded

        else
          if ( (myNgrains == 1 .and. subStep(i,e) <= 1.0 ) .or. &                                   ! single grain already tried internal subStepping in crystallite
               num%subStepSizeHomog * subStep(i,e) <=  num%subStepMinHomog ) then                   ! would require too small subStep
                                                                                                    ! cutback makes no sense
            if (.not. terminallyIll) then                                                           ! so first signals terminally ill...
              print*, ' Integration point ', i,' at element ', e, ' terminally ill'
            endif
            terminallyIll = .true.                                                                  ! ...and kills all others
          else                                                                                      ! cutback makes sense
            subStep(i,e) = num%subStepSizeHomog * subStep(i,e)                                      ! crystallite had severe trouble, so do a significant cutback

            call crystallite_restore(i,e,subStep(i,e) < 1.0_pReal)
            call constitutive_restore(i,e)

            if(homogState(material_homogenizationAt(e))%sizeState > 0) &
                homogState(material_homogenizationAt(e))%State(    :,material_homogenizationMemberAt(i,e)) = &
                homogState(material_homogenizationAt(e))%subState0(:,material_homogenizationMemberAt(i,e))
            if(damageState(material_homogenizationAt(e))%sizeState > 0) &
                damageState(material_homogenizationAt(e))%State(    :,material_homogenizationMemberAt(i,e)) = &
                damageState(material_homogenizationAt(e))%subState0(:,material_homogenizationMemberAt(i,e))
          endif
        endif

        if (subStep(i,e) > num%subStepMinHomog) then
          requested(i,e) = .true.
          doneAndHappy(1:2,i,e) = [.false.,.true.]
        endif
      enddo IpLooping1
    enddo elementLooping1
    !$OMP END PARALLEL DO

    NiterationMPstate = 0

    convergenceLooping: do while (.not. terminallyIll .and. &
              any(                 requested(:,FEsolving_execELem(1):FEsolving_execElem(2)) &
                  .and. .not. doneAndHappy(1,:,FEsolving_execELem(1):FEsolving_execElem(2)) &
                 ) .and. &
              NiterationMPstate < num%nMPstate)
      NiterationMPstate = NiterationMPstate + 1

!--------------------------------------------------------------------------------------------------
! deformation partitioning
      !$OMP PARALLEL DO PRIVATE(myNgrains,m)
      elementLooping2: do e = FEsolving_execElem(1),FEsolving_execElem(2)
        myNgrains = homogenization_Nconstituents(material_homogenizationAt(e))
        IpLooping2: do i = FEsolving_execIP(1),FEsolving_execIP(2)
          if(requested(i,e) .and. .not. doneAndHappy(1,i,e)) then                                   ! requested but not yet done
            m = (e-1)*discretization_nIPs + i
            call mech_partition(homogenization_F0(1:3,1:3,m) &
                                      + (homogenization_F(1:3,1:3,m)-homogenization_F0(1:3,1:3,m))&
                                         *(subStep(i,e)+subFrac(i,e)), &
                                      i,e)
            crystallite_dt(1:myNgrains,i,e) = dt*subStep(i,e)                                       ! propagate materialpoint dt to grains
            crystallite_requested(1:myNgrains,i,e) = .true.                                         ! request calculation for constituents
          else
            crystallite_requested(1:myNgrains,i,e) = .false.                                        ! calculation for constituents not required anymore
          endif
        enddo IpLooping2
      enddo elementLooping2
      !$OMP END PARALLEL DO

!--------------------------------------------------------------------------------------------------
! crystallite integration
      converged = crystallite_stress() !ToDo: MD not sure if that is the best logic

!--------------------------------------------------------------------------------------------------
! state update
     !$OMP PARALLEL DO PRIVATE(m)
      elementLooping3: do e = FEsolving_execElem(1),FEsolving_execElem(2)
        IpLooping3: do i = FEsolving_execIP(1),FEsolving_execIP(2)
          if (requested(i,e) .and. .not. doneAndHappy(1,i,e)) then
            if (.not. converged(i,e)) then
              doneAndHappy(1:2,i,e) = [.true.,.false.]
            else
              m = (e-1)*discretization_nIPs + i
              doneAndHappy(1:2,i,e) = updateState(dt*subStep(i,e), &
                                                  homogenization_F0(1:3,1:3,m) &
                                                  + (homogenization_F(1:3,1:3,m)-homogenization_F0(1:3,1:3,m)) &
                                                     *(subStep(i,e)+subFrac(i,e)), &
                                                 i,e)
              converged(i,e) = all(doneAndHappy(1:2,i,e))                                           ! converged if done and happy
            endif
          endif
        enddo IpLooping3
      enddo elementLooping3
      !$OMP END PARALLEL DO

    enddo convergenceLooping

    NiterationHomog = NiterationHomog + 1

  enddo cutBackLooping

  if (.not. terminallyIll ) then
    call crystallite_orientations()                                                                 ! calculate crystal orientations
    !$OMP PARALLEL DO
    elementLooping4: do e = FEsolving_execElem(1),FEsolving_execElem(2)
      IpLooping4: do i = FEsolving_execIP(1),FEsolving_execIP(2)
        call mech_homogenize(i,e)
      enddo IpLooping4
    enddo elementLooping4
    !$OMP END PARALLEL DO
  else
    print'(/,a,/)', ' << HOMOG >> Material Point terminally ill'
  endif

end subroutine materialpoint_stressAndItsTangent


!--------------------------------------------------------------------------------------------------
!> @brief update the internal state of the homogenization scheme and tell whether "done" and
!> "happy" with result
!--------------------------------------------------------------------------------------------------
function updateState(subdt,subF,ip,el)

  real(pReal), intent(in) :: &
    subdt                                                                                           !< current time step
  real(pReal), intent(in), dimension(3,3) :: &
    subF
  integer,     intent(in) :: &
    ip, &                                                                                           !< integration point
    el                                                                                              !< element number
  integer :: c
  logical, dimension(2) :: updateState
  real(pReal) :: dPdFs(3,3,3,3,homogenization_Nconstituents(material_homogenizationAt(el)))

  updateState = .true.
  chosenHomogenization: select case(homogenization_type(material_homogenizationAt(el)))
    case (HOMOGENIZATION_RGC_ID) chosenHomogenization
      do c=1,homogenization_Nconstituents(material_homogenizationAt(el))
        dPdFs(:,:,:,:,c) = crystallite_stressTangent(c,ip,el)
      enddo
      updateState = &
        updateState .and. &
          mech_RGC_updateState(crystallite_P(1:3,1:3,1:homogenization_Nconstituents(material_homogenizationAt(el)),ip,el), &
                        crystallite_partitionedF(1:3,1:3,1:homogenization_Nconstituents(material_homogenizationAt(el)),ip,el), &
                        crystallite_partitionedF0(1:3,1:3,1:homogenization_Nconstituents(material_homogenizationAt(el)),ip,el),&
                               subF,&
                               subdt, &
                               dPdFs, &
                               ip, &
                               el)
  end select chosenHomogenization

end function updateState


!--------------------------------------------------------------------------------------------------
!> @brief writes homogenization results to HDF5 output file
!--------------------------------------------------------------------------------------------------
subroutine homogenization_results
  use material, only: &
    material_homogenization_type => homogenization_type

  integer :: p
  character(len=:), allocatable :: group_base,group

  call results_closeGroup(results_addGroup('current/homogenization/'))

  do p=1,size(material_name_homogenization)
    group_base = 'current/homogenization/'//trim(material_name_homogenization(p))
    call results_closeGroup(results_addGroup(group_base))

    call mech_results(group_base,p)

    group = trim(group_base)//'/damage'
    call results_closeGroup(results_addGroup(group))
    select case(damage_type(p))
      case(DAMAGE_NONLOCAL_ID)
        call damage_nonlocal_results(p,group)
    end select

    group = trim(group_base)//'/thermal'
    call results_closeGroup(results_addGroup(group))
    select case(thermal_type(p))
      case(THERMAL_CONDUCTION_ID)
        call thermal_conduction_results(p,group)
    end select

 enddo

end subroutine homogenization_results

end module homogenization