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DAMASK_EICMD
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DAMASK_EICMD/src/homogenization_mech.f90

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code follows structure
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!--------------------------------------------------------------------------------------------------
!> @author Martin Diehl, KU Leuven
!> @brief Partition F and homogenize P/dPdF
!--------------------------------------------------------------------------------------------------
submodule(homogenization) homogenization_mech
interface
module subroutine mech_none_init
end subroutine mech_none_init
module subroutine mech_isostrain_init
end subroutine mech_isostrain_init
module subroutine mech_RGC_init(num_homogMech)
class(tNode), pointer, intent(in) :: &
num_homogMech !< pointer to mechanical homogenization numerics data
end subroutine mech_RGC_init
module subroutine mech_isostrain_partitionDeformation(F,avgF)
real(pReal), dimension (:,:,:), intent(out) :: F !< partitioned deformation gradient
real(pReal), dimension (3,3), intent(in) :: avgF !< average deformation gradient at material point
end subroutine mech_isostrain_partitionDeformation
module subroutine mech_RGC_partitionDeformation(F,avgF,instance,of)
real(pReal), dimension (:,:,:), intent(out) :: F !< partitioned deformation gradient
real(pReal), dimension (3,3), intent(in) :: avgF !< average deformation gradient at material point
integer, intent(in) :: &
instance, &
of
end subroutine mech_RGC_partitionDeformation
module subroutine mech_isostrain_averageStressAndItsTangent(avgP,dAvgPdAvgF,P,dPdF,instance)
real(pReal), dimension (3,3), intent(out) :: avgP !< average stress at material point
real(pReal), dimension (3,3,3,3), intent(out) :: dAvgPdAvgF !< average stiffness at material point
real(pReal), dimension (:,:,:), intent(in) :: P !< partitioned stresses
real(pReal), dimension (:,:,:,:,:), intent(in) :: dPdF !< partitioned stiffnesses
integer, intent(in) :: instance
end subroutine mech_isostrain_averageStressAndItsTangent
module subroutine mech_RGC_averageStressAndItsTangent(avgP,dAvgPdAvgF,P,dPdF,instance)
real(pReal), dimension (3,3), intent(out) :: avgP !< average stress at material point
real(pReal), dimension (3,3,3,3), intent(out) :: dAvgPdAvgF !< average stiffness at material point
real(pReal), dimension (:,:,:), intent(in) :: P !< partitioned stresses
real(pReal), dimension (:,:,:,:,:), intent(in) :: dPdF !< partitioned stiffnesses
integer, intent(in) :: instance
end subroutine mech_RGC_averageStressAndItsTangent
module subroutine mech_RGC_results(instance,group)
integer, intent(in) :: instance !< homogenization instance
character(len=*), intent(in) :: group !< group name in HDF5 file
end subroutine mech_RGC_results
end interface
contains
!--------------------------------------------------------------------------------------------------
!> @brief Allocate variables and set parameters.
!--------------------------------------------------------------------------------------------------
module subroutine mech_init(num_homog)
class(tNode), pointer, intent(in) :: &
num_homog
class(tNode), pointer :: &
num_homogMech
print'(/,a)', ' <<<+- homogenization_mech init -+>>>'
store field variables as 1D array first step of simplifying layout: 1) Solver translates from ip,el tuple (FEM) or cells(1),cells(2),cells(3) triple to list. 2) DAMASK iterates over all points 3) homogenization knows mapping (point,constituent) -> (instance,member)
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allocate(homogenization_dPdF(3,3,3,3,discretization_nIPs*discretization_Nelems), source=0.0_pReal)
homogenization_F0 = spread(math_I3,3,discretization_nIPs*discretization_Nelems) ! initialize to identity
homogenization_F = homogenization_F0 ! initialize to identity
allocate(homogenization_P(3,3,discretization_nIPs*discretization_Nelems), source=0.0_pReal)
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num_homogMech => num_homog%get('mech',defaultVal=emptyDict)
if (any(homogenization_type == HOMOGENIZATION_NONE_ID)) call mech_none_init
if (any(homogenization_type == HOMOGENIZATION_ISOSTRAIN_ID)) call mech_isostrain_init
if (any(homogenization_type == HOMOGENIZATION_RGC_ID)) call mech_RGC_init(num_homogMech)
end subroutine mech_init
!--------------------------------------------------------------------------------------------------
!> @brief Partition F onto the individual constituents.
!--------------------------------------------------------------------------------------------------
module subroutine mech_partition(subF,ip,el)
real(pReal), intent(in), dimension(3,3) :: &
subF
integer, intent(in) :: &
ip, & !< integration point
el !< element number
chosenHomogenization: select case(homogenization_type(material_homogenizationAt(el)))
case (HOMOGENIZATION_NONE_ID) chosenHomogenization
crystallite_partitionedF(1:3,1:3,1,ip,el) = subF
case (HOMOGENIZATION_ISOSTRAIN_ID) chosenHomogenization
call mech_isostrain_partitionDeformation(&
crystallite_partitionedF(1:3,1:3,1:homogenization_Nconstituents(material_homogenizationAt(el)),ip,el), &
subF)
case (HOMOGENIZATION_RGC_ID) chosenHomogenization
call mech_RGC_partitionDeformation(&
crystallite_partitionedF(1:3,1:3,1:homogenization_Nconstituents(material_homogenizationAt(el)),ip,el), &
subF,&
ip, &
el)
end select chosenHomogenization
end subroutine mech_partition
!--------------------------------------------------------------------------------------------------
!> @brief Average P and dPdF from the individual constituents.
!--------------------------------------------------------------------------------------------------
module subroutine mech_homogenize(ip,el)
integer, intent(in) :: &
ip, & !< integration point
el !< element number
store field variables as 1D array first step of simplifying layout: 1) Solver translates from ip,el tuple (FEM) or cells(1),cells(2),cells(3) triple to list. 2) DAMASK iterates over all points 3) homogenization knows mapping (point,constituent) -> (instance,member)
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integer :: c,m
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real(pReal) :: dPdFs(3,3,3,3,homogenization_Nconstituents(material_homogenizationAt(el)))
store field variables as 1D array first step of simplifying layout: 1) Solver translates from ip,el tuple (FEM) or cells(1),cells(2),cells(3) triple to list. 2) DAMASK iterates over all points 3) homogenization knows mapping (point,constituent) -> (instance,member)
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m = (el-1)* discretization_nIPs + ip
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chosenHomogenization: select case(homogenization_type(material_homogenizationAt(el)))
case (HOMOGENIZATION_NONE_ID) chosenHomogenization
store field variables as 1D array first step of simplifying layout: 1) Solver translates from ip,el tuple (FEM) or cells(1),cells(2),cells(3) triple to list. 2) DAMASK iterates over all points 3) homogenization knows mapping (point,constituent) -> (instance,member)
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homogenization_P(1:3,1:3,m) = crystallite_P(1:3,1:3,1,ip,el)
homogenization_dPdF(1:3,1:3,1:3,1:3,m) = crystallite_stressTangent(1,ip,el)
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case (HOMOGENIZATION_ISOSTRAIN_ID) chosenHomogenization
do c = 1, homogenization_Nconstituents(material_homogenizationAt(el))
dPdFs(:,:,:,:,c) = crystallite_stressTangent(c,ip,el)
enddo
call mech_isostrain_averageStressAndItsTangent(&
store field variables as 1D array first step of simplifying layout: 1) Solver translates from ip,el tuple (FEM) or cells(1),cells(2),cells(3) triple to list. 2) DAMASK iterates over all points 3) homogenization knows mapping (point,constituent) -> (instance,member)
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homogenization_P(1:3,1:3,m), &
homogenization_dPdF(1:3,1:3,1:3,1:3,m),&
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crystallite_P(1:3,1:3,1:homogenization_Nconstituents(material_homogenizationAt(el)),ip,el), &
dPdFs, &
homogenization_typeInstance(material_homogenizationAt(el)))
case (HOMOGENIZATION_RGC_ID) chosenHomogenization
do c = 1, homogenization_Nconstituents(material_homogenizationAt(el))
dPdFs(:,:,:,:,c) = crystallite_stressTangent(c,ip,el)
enddo
call mech_RGC_averageStressAndItsTangent(&
store field variables as 1D array first step of simplifying layout: 1) Solver translates from ip,el tuple (FEM) or cells(1),cells(2),cells(3) triple to list. 2) DAMASK iterates over all points 3) homogenization knows mapping (point,constituent) -> (instance,member)
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homogenization_P(1:3,1:3,m), &
homogenization_dPdF(1:3,1:3,1:3,1:3,m),&
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crystallite_P(1:3,1:3,1:homogenization_Nconstituents(material_homogenizationAt(el)),ip,el), &
dPdFs, &
homogenization_typeInstance(material_homogenizationAt(el)))
end select chosenHomogenization
end subroutine mech_homogenize
!--------------------------------------------------------------------------------------------------
!> @brief Write results to file.
!--------------------------------------------------------------------------------------------------
module subroutine mech_results(group_base,h)
use material, only: &
material_homogenization_type => homogenization_type
character(len=*), intent(in) :: group_base
integer, intent(in) :: h
character(len=:), allocatable :: group
group = trim(group_base)//'/mech'
call results_closeGroup(results_addGroup(group))
select case(material_homogenization_type(h))
case(HOMOGENIZATION_rgc_ID)
call mech_RGC_results(homogenization_typeInstance(h),group)
end select
!temp = reshape(homogenization_F,[3,3,discretization_nIPs*discretization_Nelems])
!call results_writeDataset(group,temp,'F',&
! 'deformation gradient','1')
!temp = reshape(homogenization_P,[3,3,discretization_nIPs*discretization_Nelems])
!call results_writeDataset(group,temp,'P',&
! '1st Piola-Kirchhoff stress','Pa')
end subroutine mech_results
end submodule homogenization_mech