DAMASK_EICMD/src/damage_nonlocal.f90

!--------------------------------------------------------------------------------------------------
!> @author Pratheek Shanthraj, Max-Planck-Institut für Eisenforschung GmbH
!> @brief material subroutine for non-locally evolving damage field
!> @details to be done
!--------------------------------------------------------------------------------------------------
module damage_nonlocal
  use prec
  use material
  use numerics
  use config
  use crystallite
  use lattice
  use mesh
  use source_damage_isoBrittle
  use source_damage_isoDuctile
  use source_damage_anisoBrittle
  use source_damage_anisoDuctile

  implicit none
  private
  
  integer,                       dimension(:,:),  allocatable, target, public :: &
    damage_nonlocal_sizePostResult                                                                  !< size of each post result output

  character(len=64),             dimension(:,:),   allocatable, target, public :: &
    damage_nonlocal_output                                                                          !< name of each post result output
    
  integer,                       dimension(:),     allocatable, target, public :: &
    damage_nonlocal_Noutput                                                                         !< number of outputs per instance of this damage 

  enum, bind(c) 
    enumerator :: undefined_ID, &
                  damage_ID
  end enum

  type :: tParameters
    integer(kind(undefined_ID)),         dimension(:),   allocatable   :: &
      outputID
  end type tParameters
  
  type(tparameters),          dimension(:), allocatable :: &
    param

  public :: &
    damage_nonlocal_init, &
    damage_nonlocal_getSourceAndItsTangent, &
    damage_nonlocal_getDiffusion33, &
    damage_nonlocal_getMobility, &
    damage_nonlocal_putNonLocalDamage, &
    damage_nonlocal_postResults

contains

!--------------------------------------------------------------------------------------------------
!> @brief module initialization
!> @details reads in material parameters, allocates arrays, and does sanity checks
!--------------------------------------------------------------------------------------------------
subroutine damage_nonlocal_init

  integer :: maxNinstance,homog,instance,o,i
  integer :: sizeState
  integer :: NofMyHomog, h
  integer(kind(undefined_ID)) :: &
    outputID
  character(len=65536),   dimension(0), parameter :: emptyStringArray = [character(len=65536)::]
   character(len=65536), dimension(:), allocatable :: &
    outputs

  write(6,'(/,a)')   ' <<<+-  damage_'//DAMAGE_nonlocal_label//' init  -+>>>'
  
  maxNinstance = count(damage_type == DAMAGE_nonlocal_ID)
  if (maxNinstance == 0) return
  
  allocate(damage_nonlocal_sizePostResult (maxval(homogenization_Noutput),maxNinstance),source=0)
  allocate(damage_nonlocal_output         (maxval(homogenization_Noutput),maxNinstance))
           damage_nonlocal_output = ''
  allocate(damage_nonlocal_Noutput        (maxNinstance),                               source=0) 

  allocate(param(maxNinstance))
   
  do h = 1, size(damage_type)
    if (damage_type(h) /= DAMAGE_NONLOCAL_ID) cycle
    associate(prm => param(damage_typeInstance(h)), &
              config => config_homogenization(h))
              
    instance = damage_typeInstance(h)
    outputs = config%getStrings('(output)',defaultVal=emptyStringArray)
    allocate(prm%outputID(0))
    
    do i=1, size(outputs)
      outputID = undefined_ID
      select case(outputs(i))
      
            case ('damage')
            damage_nonlocal_output(i,damage_typeInstance(h)) = outputs(i)
              damage_nonlocal_Noutput(instance) = damage_nonlocal_Noutput(instance) + 1
             damage_nonlocal_sizePostResult(i,damage_typeInstance(h)) = 1
        prm%outputID = [prm%outputID , damage_ID]
           end select
      
    enddo

    homog = h

      NofMyHomog = count(material_homogenizationAt == homog)
      instance = damage_typeInstance(homog)


!  allocate state arrays
      sizeState = 1
      damageState(homog)%sizeState = sizeState
      damageState(homog)%sizePostResults = sum(damage_nonlocal_sizePostResult(:,instance))
      allocate(damageState(homog)%state0   (sizeState,NofMyHomog), source=damage_initialPhi(homog))
      allocate(damageState(homog)%subState0(sizeState,NofMyHomog), source=damage_initialPhi(homog))
      allocate(damageState(homog)%state    (sizeState,NofMyHomog), source=damage_initialPhi(homog))

      nullify(damageMapping(homog)%p)
      damageMapping(homog)%p => mappingHomogenization(1,:,:)
      deallocate(damage(homog)%p)
      damage(homog)%p => damageState(homog)%state(1,:)
      
    end associate
  enddo
end subroutine damage_nonlocal_init


!--------------------------------------------------------------------------------------------------
!> @brief  calculates homogenized damage driving forces  
!--------------------------------------------------------------------------------------------------
subroutine damage_nonlocal_getSourceAndItsTangent(phiDot, dPhiDot_dPhi, phi, ip, el)
 
  integer, intent(in) :: &
    ip, &                                                                                           !< integration point number
    el                                                                                              !< element number
  real(pReal),   intent(in) :: &
    phi
  integer :: &
    phase, &
    grain, &
    source, &
    constituent
  real(pReal) :: &
    phiDot, dPhiDot_dPhi, localphiDot, dLocalphiDot_dPhi  

  phiDot = 0.0_pReal
  dPhiDot_dPhi = 0.0_pReal
  do grain = 1, homogenization_Ngrains(material_homogenizationAt(el))
    phase = phaseAt(grain,ip,el)
    constituent = phasememberAt(grain,ip,el)
    do source = 1, phase_Nsources(phase)
      select case(phase_source(source,phase))                                                   
        case (SOURCE_damage_isoBrittle_ID)
         call source_damage_isobrittle_getRateAndItsTangent  (localphiDot, dLocalphiDot_dPhi, phi, phase, constituent)

        case (SOURCE_damage_isoDuctile_ID)
         call source_damage_isoductile_getRateAndItsTangent  (localphiDot, dLocalphiDot_dPhi, phi, phase, constituent)

        case (SOURCE_damage_anisoBrittle_ID)
         call source_damage_anisobrittle_getRateAndItsTangent(localphiDot, dLocalphiDot_dPhi, phi, phase, constituent)

        case (SOURCE_damage_anisoDuctile_ID)
         call source_damage_anisoductile_getRateAndItsTangent(localphiDot, dLocalphiDot_dPhi, phi, phase, constituent)

        case default
         localphiDot = 0.0_pReal
         dLocalphiDot_dPhi = 0.0_pReal

      end select
      phiDot = phiDot + localphiDot
      dPhiDot_dPhi = dPhiDot_dPhi + dLocalphiDot_dPhi
    enddo  
  enddo
  
  phiDot = phiDot/real(homogenization_Ngrains(material_homogenizationAt(el)),pReal)
  dPhiDot_dPhi = dPhiDot_dPhi/real(homogenization_Ngrains(material_homogenizationAt(el)),pReal)
 
end subroutine damage_nonlocal_getSourceAndItsTangent


!--------------------------------------------------------------------------------------------------
!> @brief returns homogenized non local damage diffusion tensor in reference configuration
!--------------------------------------------------------------------------------------------------
function damage_nonlocal_getDiffusion33(ip,el)

  integer, intent(in) :: &
    ip, &                                                                                           !< integration point number
    el                                                                                              !< element number
  real(pReal), dimension(3,3) :: &
    damage_nonlocal_getDiffusion33
  integer :: &
    homog, &
    grain
    
  homog  = material_homogenizationAt(el)
  damage_nonlocal_getDiffusion33 = 0.0_pReal  
  do grain = 1, homogenization_Ngrains(homog)
    damage_nonlocal_getDiffusion33 = damage_nonlocal_getDiffusion33 + &
      crystallite_push33ToRef(grain,ip,el,lattice_DamageDiffusion33(1:3,1:3,material_phase(grain,ip,el)))
  enddo

  damage_nonlocal_getDiffusion33 = &
    charLength**2*damage_nonlocal_getDiffusion33/real(homogenization_Ngrains(homog),pReal)
 
end function damage_nonlocal_getDiffusion33
 
 
!--------------------------------------------------------------------------------------------------
!> @brief Returns homogenized nonlocal damage mobility 
!--------------------------------------------------------------------------------------------------
real(pReal) function damage_nonlocal_getMobility(ip,el)

  integer, intent(in) :: &
    ip, &                                                                                           !< integration point number
    el                                                                                              !< element number
  integer :: &
    ipc
  
  damage_nonlocal_getMobility = 0.0_pReal
                                                 
  do ipc = 1, homogenization_Ngrains(mesh_element(3,el))
    damage_nonlocal_getMobility = damage_nonlocal_getMobility + lattice_DamageMobility(material_phase(ipc,ip,el))
  enddo

  damage_nonlocal_getMobility = damage_nonlocal_getMobility/&
                                real(homogenization_Ngrains(mesh_element(3,el)),pReal)

end function damage_nonlocal_getMobility


!--------------------------------------------------------------------------------------------------
!> @brief updated nonlocal damage field with solution from damage phase field PDE
!--------------------------------------------------------------------------------------------------
subroutine damage_nonlocal_putNonLocalDamage(phi,ip,el)

  integer, intent(in) :: &
    ip, &                                                                                           !< integration point number
    el                                                                                              !< element number
  real(pReal),   intent(in) :: &
    phi
  integer :: &
    homog, &
    offset
  
  homog  = material_homogenizationAt(el)
  offset = damageMapping(homog)%p(ip,el)
  damage(homog)%p(offset) = phi

end subroutine damage_nonlocal_putNonLocalDamage


!--------------------------------------------------------------------------------------------------
!> @brief return array of damage results
!--------------------------------------------------------------------------------------------------
function damage_nonlocal_postResults(ip,el)

  integer,              intent(in) :: &
    ip, &                                                                                           !< integration point
    el                                                                                              !< element
  real(pReal), dimension(sum(damage_nonlocal_sizePostResult(:,damage_typeInstance(material_homogenizationAt(el))))) :: &
    damage_nonlocal_postResults

  integer :: &
    instance, homog, offset, o, c
    
  homog     = material_homogenizationAt(el)
  offset    = damageMapping(homog)%p(ip,el)
  instance  = damage_typeInstance(homog)
  associate(prm => param(instance))
  c = 0

  outputsLoop: do o = 1,size(prm%outputID)
    select case(prm%outputID(o))
  
       case (damage_ID)
         damage_nonlocal_postResults(c+1) = damage(homog)%p(offset)
         c = c + 1
     end select
  enddo outputsLoop

  end associate
end function damage_nonlocal_postResults

end module damage_nonlocal