Merge remote-tracking branch 'origin/development' into MatrixInteraction_clean
This commit is contained in:
commit
693c2f4e3f
2
PRIVATE
2
PRIVATE
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@ -1 +1 @@
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Subproject commit 6ce67b4cd86df6402b5e43e354e1c77f685aa469
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Subproject commit 27add707f520816fc05e81d2b00769cd60216010
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@ -0,0 +1,7 @@
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references:
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||||||
|
- www.engineeringtoolbox.com/thermal-conductivity-metals-d_858.html
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||||||
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- www.engineeringtoolbox.com/specific-heat-metals-d_152.html
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||||||
|
c_p: 0.91e3
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||||||
|
K_11: 236.0
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||||||
|
K_22: 236.0
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K_33: 236.0
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@ -0,0 +1,7 @@
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|
references:
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||||||
|
- www.engineeringtoolbox.com/thermal-conductivity-metals-d_858.html
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||||||
|
- www.engineeringtoolbox.com/specific-heat-metals-d_152.html
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||||||
|
c_p: 0.49e3
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||||||
|
K_11: 54.0
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K_22: 54.0
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K_33: 54.0
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@ -3,8 +3,8 @@
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from scipy import spatial as _spatial
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from scipy import spatial as _spatial
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import numpy as _np
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import numpy as _np
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from . import util
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from . import util as _util
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from . import grid_filters
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from . import grid_filters as _grid_filters
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def from_random(size,N_seeds,cells=None,rng_seed=None):
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def from_random(size,N_seeds,cells=None,rng_seed=None):
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@ -34,7 +34,7 @@ def from_random(size,N_seeds,cells=None,rng_seed=None):
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if cells is None:
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if cells is None:
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coords = rng.random((N_seeds,3)) * size
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coords = rng.random((N_seeds,3)) * size
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else:
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else:
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grid_coords = grid_filters.coordinates0_point(cells,size).reshape(-1,3,order='F')
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grid_coords = _grid_filters.coordinates0_point(cells,size).reshape(-1,3,order='F')
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coords = grid_coords[rng.choice(_np.prod(cells),N_seeds, replace=False)] \
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coords = grid_coords[rng.choice(_np.prod(cells),N_seeds, replace=False)] \
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+ _np.broadcast_to(size/cells,(N_seeds,3))*(rng.random((N_seeds,3))*.5-.25) # wobble without leaving cells
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+ _np.broadcast_to(size/cells,(N_seeds,3))*(rng.random((N_seeds,3))*.5-.25) # wobble without leaving cells
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@ -73,7 +73,7 @@ def from_Poisson_disc(size,N_seeds,N_candidates,distance,periodic=True,rng_seed=
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s = 1
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s = 1
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i = 0
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i = 0
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progress = util._ProgressBar(N_seeds+1,'',50)
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progress = _util._ProgressBar(N_seeds+1,'',50)
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while s < N_seeds:
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while s < N_seeds:
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candidates = rng.random((N_candidates,3))*_np.broadcast_to(size,(N_candidates,3))
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candidates = rng.random((N_candidates,3))*_np.broadcast_to(size,(N_candidates,3))
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tree = _spatial.cKDTree(coords[:s],boxsize=size) if periodic else \
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tree = _spatial.cKDTree(coords[:s],boxsize=size) if periodic else \
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@ -120,7 +120,7 @@ def from_grid(grid,selection=None,invert=False,average=False,periodic=True):
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material = grid.material.reshape((-1,1),order='F')
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material = grid.material.reshape((-1,1),order='F')
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mask = _np.full(grid.cells.prod(),True,dtype=bool) if selection is None else \
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mask = _np.full(grid.cells.prod(),True,dtype=bool) if selection is None else \
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_np.isin(material,selection,invert=invert).flatten()
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_np.isin(material,selection,invert=invert).flatten()
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coords = grid_filters.coordinates0_point(grid.cells,grid.size).reshape(-1,3,order='F')
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coords = _grid_filters.coordinates0_point(grid.cells,grid.size).reshape(-1,3,order='F')
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if not average:
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if not average:
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return (coords[mask],material[mask])
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return (coords[mask],material[mask])
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@ -21,6 +21,7 @@
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#include "lattice.f90"
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#include "lattice.f90"
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#include "phase.f90"
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#include "phase.f90"
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#include "phase_mechanical.f90"
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#include "phase_mechanical.f90"
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#include "phase_mechanical_elastic.f90"
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#include "phase_mechanical_plastic.f90"
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#include "phase_mechanical_plastic.f90"
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#include "phase_mechanical_plastic_none.f90"
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#include "phase_mechanical_plastic_none.f90"
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#include "phase_mechanical_plastic_isotropic.f90"
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#include "phase_mechanical_plastic_isotropic.f90"
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@ -90,7 +90,8 @@ subroutine grid_thermal_spectral_init(T_0)
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!--------------------------------------------------------------------------------------------------
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!--------------------------------------------------------------------------------------------------
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! set default and user defined options for PETSc
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! set default and user defined options for PETSc
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call PetscOptionsInsertString(PETSC_NULL_OPTIONS,'-thermal_snes_type ngmres',ierr)
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call PetscOptionsInsertString(PETSC_NULL_OPTIONS,'-thermal_snes_type newtonls -thermal_snes_mf &
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&-thermal_snes_ksp_ew -thermal_ksp_type fgmres',ierr)
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CHKERRQ(ierr)
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CHKERRQ(ierr)
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call PetscOptionsInsertString(PETSC_NULL_OPTIONS,num_grid%get_asString('petsc_options',defaultVal=''),ierr)
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call PetscOptionsInsertString(PETSC_NULL_OPTIONS,num_grid%get_asString('petsc_options',defaultVal=''),ierr)
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CHKERRQ(ierr)
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CHKERRQ(ierr)
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@ -58,10 +58,6 @@ module phase
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grain
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grain
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end type tDebugOptions
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end type tDebugOptions
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integer, dimension(:), allocatable, public :: & !< ToDo: should be protected (bug in Intel compiler)
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phase_elasticityInstance, &
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phase_NstiffnessDegradations
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logical, dimension(:), allocatable, public :: & ! ToDo: should be protected (bug in Intel Compiler)
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logical, dimension(:), allocatable, public :: & ! ToDo: should be protected (bug in Intel Compiler)
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phase_localPlasticity !< flags phases with local constitutive law
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phase_localPlasticity !< flags phases with local constitutive law
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@ -298,7 +294,6 @@ module phase
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end interface
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end interface
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type(tDebugOptions) :: debugConstitutive
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type(tDebugOptions) :: debugConstitutive
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#if __INTEL_COMPILER >= 1900
|
#if __INTEL_COMPILER >= 1900
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public :: &
|
public :: &
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@ -5,10 +5,6 @@ submodule(phase) mechanical
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enum, bind(c); enumerator :: &
|
enum, bind(c); enumerator :: &
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ELASTICITY_UNDEFINED_ID, &
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ELASTICITY_HOOKE_ID, &
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|
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STIFFNESS_DEGRADATION_UNDEFINED_ID, &
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|
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STIFFNESS_DEGRADATION_DAMAGE_ID, &
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|
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PLASTICITY_UNDEFINED_ID, &
|
PLASTICITY_UNDEFINED_ID, &
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||||||
PLASTICITY_NONE_ID, &
|
PLASTICITY_NONE_ID, &
|
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PLASTICITY_ISOTROPIC_ID, &
|
PLASTICITY_ISOTROPIC_ID, &
|
||||||
|
@ -23,11 +19,6 @@ submodule(phase) mechanical
|
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KINEMATICS_THERMAL_EXPANSION_ID
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KINEMATICS_THERMAL_EXPANSION_ID
|
||||||
end enum
|
end enum
|
||||||
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|
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integer(kind(ELASTICITY_UNDEFINED_ID)), dimension(:), allocatable :: &
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|
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phase_elasticity !< elasticity of each phase
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|
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integer(kind(STIFFNESS_DEGRADATION_UNDEFINED_ID)), dimension(:,:), allocatable :: &
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|
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phase_stiffnessDegradation !< active stiffness degradation mechanisms of each phase
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||||||
|
|
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type(tTensorContainer), dimension(:), allocatable :: &
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type(tTensorContainer), dimension(:), allocatable :: &
|
||||||
! current value
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! current value
|
||||||
phase_mechanical_Fe, &
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phase_mechanical_Fe, &
|
||||||
|
@ -57,9 +48,27 @@ submodule(phase) mechanical
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class(tNode), pointer :: phases
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class(tNode), pointer :: phases
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||||||
end subroutine eigendeformation_init
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end subroutine eigendeformation_init
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|
|
||||||
|
module subroutine elastic_init(phases)
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class(tNode), pointer :: phases
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|
end subroutine elastic_init
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|
||||||
module subroutine plastic_init
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module subroutine plastic_init
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end subroutine plastic_init
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end subroutine plastic_init
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module subroutine phase_hooke_SandItsTangents(S,dS_dFe,dS_dFi,Fe,Fi,ph,en)
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integer, intent(in) :: &
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|
ph, &
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|
en
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|
real(pReal), intent(in), dimension(3,3) :: &
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Fe, & !< elastic deformation gradient
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Fi !< intermediate deformation gradient
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real(pReal), intent(out), dimension(3,3) :: &
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|
S !< 2nd Piola-Kirchhoff stress tensor in lattice configuration
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real(pReal), intent(out), dimension(3,3,3,3) :: &
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||||||
|
dS_dFe, & !< derivative of 2nd P-K stress with respect to elastic deformation gradient
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dS_dFi !< derivative of 2nd P-K stress with respect to intermediate deformation gradient
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|
end subroutine phase_hooke_SandItsTangents
|
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|
|
||||||
module subroutine plastic_isotropic_LiAndItsTangent(Li,dLi_dMi,Mi,ph,en)
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module subroutine plastic_isotropic_LiAndItsTangent(Li,dLi_dMi,Mi,ph,en)
|
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real(pReal), dimension(3,3), intent(out) :: &
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real(pReal), dimension(3,3), intent(out) :: &
|
||||||
Li !< inleastic velocity gradient
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Li !< inleastic velocity gradient
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|
@ -73,7 +82,6 @@ submodule(phase) mechanical
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end subroutine plastic_isotropic_LiAndItsTangent
|
end subroutine plastic_isotropic_LiAndItsTangent
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|
|
||||||
module function plastic_dotState(subdt,co,ip,el,ph,en) result(broken)
|
module function plastic_dotState(subdt,co,ip,el,ph,en) result(broken)
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|
|
||||||
integer, intent(in) :: &
|
integer, intent(in) :: &
|
||||||
co, & !< component-ID of integration point
|
co, & !< component-ID of integration point
|
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ip, & !< integration point
|
ip, & !< integration point
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|
@ -198,17 +206,11 @@ module subroutine mechanical_init(materials,phases)
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constituents, &
|
constituents, &
|
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constituent, &
|
constituent, &
|
||||||
phase, &
|
phase, &
|
||||||
mech, &
|
mech
|
||||||
elastic, &
|
|
||||||
stiffDegradation
|
|
||||||
|
|
||||||
print'(/,a)', ' <<<+- phase:mechanical init -+>>>'
|
print'(/,a)', ' <<<+- phase:mechanical init -+>>>'
|
||||||
|
|
||||||
!-------------------------------------------------------------------------------------------------
|
!-------------------------------------------------------------------------------------------------
|
||||||
! initialize elasticity (hooke) !ToDO: Maybe move to elastic submodule along with function homogenizedC?
|
|
||||||
allocate(phase_elasticity(phases%length), source = ELASTICITY_undefined_ID)
|
|
||||||
allocate(phase_elasticityInstance(phases%length), source = 0)
|
|
||||||
allocate(phase_NstiffnessDegradations(phases%length),source=0)
|
|
||||||
allocate(output_constituent(phases%length))
|
allocate(output_constituent(phases%length))
|
||||||
|
|
||||||
allocate(phase_mechanical_Fe(phases%length))
|
allocate(phase_mechanical_Fe(phases%length))
|
||||||
|
@ -253,32 +255,8 @@ module subroutine mechanical_init(materials,phases)
|
||||||
#else
|
#else
|
||||||
output_constituent(ph)%label = mech%get_as1dString('output',defaultVal=emptyStringArray)
|
output_constituent(ph)%label = mech%get_as1dString('output',defaultVal=emptyStringArray)
|
||||||
#endif
|
#endif
|
||||||
elastic => mech%get('elastic')
|
|
||||||
if (IO_lc(elastic%get_asString('type')) == 'hooke') then ! accept small letter h for the moment
|
|
||||||
phase_elasticity(ph) = ELASTICITY_HOOKE_ID
|
|
||||||
else
|
|
||||||
call IO_error(200,ext_msg=elastic%get_asString('type'))
|
|
||||||
endif
|
|
||||||
stiffDegradation => mech%get('stiffness_degradation',defaultVal=emptyList) ! check for stiffness degradation mechanisms
|
|
||||||
phase_NstiffnessDegradations(ph) = stiffDegradation%length
|
|
||||||
enddo
|
enddo
|
||||||
|
|
||||||
allocate(phase_stiffnessDegradation(maxval(phase_NstiffnessDegradations),phases%length), &
|
|
||||||
source=STIFFNESS_DEGRADATION_undefined_ID)
|
|
||||||
|
|
||||||
if(maxVal(phase_NstiffnessDegradations)/=0) then
|
|
||||||
do ph = 1, phases%length
|
|
||||||
phase => phases%get(ph)
|
|
||||||
mech => phase%get('mechanical')
|
|
||||||
stiffDegradation => mech%get('stiffness_degradation',defaultVal=emptyList)
|
|
||||||
do stiffDegradationCtr = 1, stiffDegradation%length
|
|
||||||
if(stiffDegradation%get_asString(stiffDegradationCtr) == 'damage') &
|
|
||||||
phase_stiffnessDegradation(stiffDegradationCtr,ph) = STIFFNESS_DEGRADATION_damage_ID
|
|
||||||
enddo
|
|
||||||
enddo
|
|
||||||
endif
|
|
||||||
|
|
||||||
|
|
||||||
do el = 1, size(material_phaseMemberAt,3); do ip = 1, size(material_phaseMemberAt,2)
|
do el = 1, size(material_phaseMemberAt,3); do ip = 1, size(material_phaseMemberAt,2)
|
||||||
do co = 1, homogenization_Nconstituents(material_homogenizationAt(el))
|
do co = 1, homogenization_Nconstituents(material_homogenizationAt(el))
|
||||||
material => materials%get(discretization_materialAt(el))
|
material => materials%get(discretization_materialAt(el))
|
||||||
|
@ -306,6 +284,9 @@ module subroutine mechanical_init(materials,phases)
|
||||||
enddo; enddo
|
enddo; enddo
|
||||||
|
|
||||||
|
|
||||||
|
! initialize elasticity
|
||||||
|
call elastic_init(phases)
|
||||||
|
|
||||||
! initialize plasticity
|
! initialize plasticity
|
||||||
allocate(plasticState(phases%length))
|
allocate(plasticState(phases%length))
|
||||||
allocate(phase_plasticity(phases%length),source = PLASTICITY_undefined_ID)
|
allocate(phase_plasticity(phases%length),source = PLASTICITY_undefined_ID)
|
||||||
|
@ -313,9 +294,6 @@ module subroutine mechanical_init(materials,phases)
|
||||||
|
|
||||||
call plastic_init()
|
call plastic_init()
|
||||||
|
|
||||||
do ph = 1, phases%length
|
|
||||||
phase_elasticityInstance(ph) = count(phase_elasticity(1:ph) == phase_elasticity(ph))
|
|
||||||
enddo
|
|
||||||
|
|
||||||
num_crystallite => config_numerics%get('crystallite',defaultVal=emptyDict)
|
num_crystallite => config_numerics%get('crystallite',defaultVal=emptyDict)
|
||||||
|
|
||||||
|
@ -348,51 +326,6 @@ module subroutine mechanical_init(materials,phases)
|
||||||
end subroutine mechanical_init
|
end subroutine mechanical_init
|
||||||
|
|
||||||
|
|
||||||
!--------------------------------------------------------------------------------------------------
|
|
||||||
!> @brief returns the 2nd Piola-Kirchhoff stress tensor and its tangent with respect to
|
|
||||||
!> the elastic and intermediate deformation gradients using Hooke's law
|
|
||||||
!--------------------------------------------------------------------------------------------------
|
|
||||||
subroutine phase_hooke_SandItsTangents(S, dS_dFe, dS_dFi, &
|
|
||||||
Fe, Fi, ph, en)
|
|
||||||
|
|
||||||
integer, intent(in) :: &
|
|
||||||
ph, &
|
|
||||||
en
|
|
||||||
real(pReal), intent(in), dimension(3,3) :: &
|
|
||||||
Fe, & !< elastic deformation gradient
|
|
||||||
Fi !< intermediate deformation gradient
|
|
||||||
real(pReal), intent(out), dimension(3,3) :: &
|
|
||||||
S !< 2nd Piola-Kirchhoff stress tensor in lattice configuration
|
|
||||||
real(pReal), intent(out), dimension(3,3,3,3) :: &
|
|
||||||
dS_dFe, & !< derivative of 2nd P-K stress with respect to elastic deformation gradient
|
|
||||||
dS_dFi !< derivative of 2nd P-K stress with respect to intermediate deformation gradient
|
|
||||||
|
|
||||||
real(pReal), dimension(3,3) :: E
|
|
||||||
real(pReal), dimension(3,3,3,3) :: C
|
|
||||||
integer :: &
|
|
||||||
d, & !< counter in degradation loop
|
|
||||||
i, j
|
|
||||||
|
|
||||||
C = math_66toSym3333(phase_homogenizedC(ph,en))
|
|
||||||
|
|
||||||
DegradationLoop: do d = 1, phase_NstiffnessDegradations(ph)
|
|
||||||
degradationType: select case(phase_stiffnessDegradation(d,ph))
|
|
||||||
case (STIFFNESS_DEGRADATION_damage_ID) degradationType
|
|
||||||
C = C * damage_phi(ph,en)**2
|
|
||||||
end select degradationType
|
|
||||||
enddo DegradationLoop
|
|
||||||
|
|
||||||
E = 0.5_pReal*(matmul(transpose(Fe),Fe)-math_I3) !< Green-Lagrange strain in unloaded configuration
|
|
||||||
S = math_mul3333xx33(C,matmul(matmul(transpose(Fi),E),Fi)) !< 2PK stress in lattice configuration in work conjugate with GL strain pulled back to lattice configuration
|
|
||||||
|
|
||||||
do i =1, 3;do j=1,3
|
|
||||||
dS_dFe(i,j,1:3,1:3) = matmul(Fe,matmul(matmul(Fi,C(i,j,1:3,1:3)),transpose(Fi))) !< dS_ij/dFe_kl = C_ijmn * Fi_lm * Fi_on * Fe_ko
|
|
||||||
dS_dFi(i,j,1:3,1:3) = 2.0_pReal*matmul(matmul(E,Fi),C(i,j,1:3,1:3)) !< dS_ij/dFi_kl = C_ijln * E_km * Fe_mn
|
|
||||||
enddo; enddo
|
|
||||||
|
|
||||||
end subroutine phase_hooke_SandItsTangents
|
|
||||||
|
|
||||||
|
|
||||||
module subroutine mechanical_results(group,ph)
|
module subroutine mechanical_results(group,ph)
|
||||||
|
|
||||||
character(len=*), intent(in) :: group
|
character(len=*), intent(in) :: group
|
||||||
|
@ -1082,26 +1015,6 @@ module subroutine mechanical_forward()
|
||||||
end subroutine mechanical_forward
|
end subroutine mechanical_forward
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
!--------------------------------------------------------------------------------------------------
|
|
||||||
!> @brief returns the homogenize elasticity matrix
|
|
||||||
!> ToDo: homogenizedC66 would be more consistent
|
|
||||||
!--------------------------------------------------------------------------------------------------
|
|
||||||
module function phase_homogenizedC(ph,en) result(C)
|
|
||||||
|
|
||||||
real(pReal), dimension(6,6) :: C
|
|
||||||
integer, intent(in) :: ph, en
|
|
||||||
|
|
||||||
plasticType: select case (phase_plasticity(ph))
|
|
||||||
case (PLASTICITY_DISLOTWIN_ID) plasticType
|
|
||||||
C = plastic_dislotwin_homogenizedC(ph,en)
|
|
||||||
case default plasticType
|
|
||||||
C = lattice_C66(1:6,1:6,ph)
|
|
||||||
end select plasticType
|
|
||||||
|
|
||||||
end function phase_homogenizedC
|
|
||||||
|
|
||||||
|
|
||||||
!--------------------------------------------------------------------------------------------------
|
!--------------------------------------------------------------------------------------------------
|
||||||
!> @brief calculate stress (P)
|
!> @brief calculate stress (P)
|
||||||
!--------------------------------------------------------------------------------------------------
|
!--------------------------------------------------------------------------------------------------
|
||||||
|
|
|
@ -0,0 +1,135 @@
|
||||||
|
submodule(phase:mechanical) elastic
|
||||||
|
|
||||||
|
enum, bind(c); enumerator :: &
|
||||||
|
ELASTICITY_UNDEFINED_ID, &
|
||||||
|
ELASTICITY_HOOKE_ID, &
|
||||||
|
STIFFNESS_DEGRADATION_UNDEFINED_ID, &
|
||||||
|
STIFFNESS_DEGRADATION_DAMAGE_ID
|
||||||
|
end enum
|
||||||
|
|
||||||
|
integer, dimension(:), allocatable :: &
|
||||||
|
phase_NstiffnessDegradations
|
||||||
|
|
||||||
|
integer(kind(ELASTICITY_UNDEFINED_ID)), dimension(:), allocatable :: &
|
||||||
|
phase_elasticity !< elasticity of each phase
|
||||||
|
integer(kind(STIFFNESS_DEGRADATION_UNDEFINED_ID)), dimension(:,:), allocatable :: &
|
||||||
|
phase_stiffnessDegradation !< active stiffness degradation mechanisms of each phase
|
||||||
|
|
||||||
|
contains
|
||||||
|
|
||||||
|
|
||||||
|
module subroutine elastic_init(phases)
|
||||||
|
|
||||||
|
class(tNode), pointer :: &
|
||||||
|
phases
|
||||||
|
|
||||||
|
integer :: &
|
||||||
|
ph, &
|
||||||
|
stiffDegradationCtr
|
||||||
|
class(tNode), pointer :: &
|
||||||
|
phase, &
|
||||||
|
mech, &
|
||||||
|
elastic, &
|
||||||
|
stiffDegradation
|
||||||
|
|
||||||
|
print'(/,a)', ' <<<+- phase:mechanical:elastic init -+>>>'
|
||||||
|
|
||||||
|
allocate(phase_elasticity(phases%length), source = ELASTICITY_undefined_ID)
|
||||||
|
allocate(phase_NstiffnessDegradations(phases%length),source=0)
|
||||||
|
|
||||||
|
do ph = 1, phases%length
|
||||||
|
phase => phases%get(ph)
|
||||||
|
mech => phase%get('mechanical')
|
||||||
|
elastic => mech%get('elastic')
|
||||||
|
if(IO_lc(elastic%get_asString('type')) == 'hooke') then ! accept small letter h for the moment
|
||||||
|
phase_elasticity(ph) = ELASTICITY_HOOKE_ID
|
||||||
|
else
|
||||||
|
call IO_error(200,ext_msg=elastic%get_asString('type'))
|
||||||
|
endif
|
||||||
|
stiffDegradation => mech%get('stiffness_degradation',defaultVal=emptyList) ! check for stiffness degradation mechanisms
|
||||||
|
phase_NstiffnessDegradations(ph) = stiffDegradation%length
|
||||||
|
enddo
|
||||||
|
|
||||||
|
allocate(phase_stiffnessDegradation(maxval(phase_NstiffnessDegradations),phases%length), &
|
||||||
|
source=STIFFNESS_DEGRADATION_undefined_ID)
|
||||||
|
|
||||||
|
if(maxVal(phase_NstiffnessDegradations)/=0) then
|
||||||
|
do ph = 1, phases%length
|
||||||
|
phase => phases%get(ph)
|
||||||
|
mech => phase%get('mechanical')
|
||||||
|
stiffDegradation => mech%get('stiffness_degradation',defaultVal=emptyList)
|
||||||
|
do stiffDegradationCtr = 1, stiffDegradation%length
|
||||||
|
if(stiffDegradation%get_asString(stiffDegradationCtr) == 'damage') &
|
||||||
|
phase_stiffnessDegradation(stiffDegradationCtr,ph) = STIFFNESS_DEGRADATION_damage_ID
|
||||||
|
enddo
|
||||||
|
enddo
|
||||||
|
endif
|
||||||
|
|
||||||
|
end subroutine elastic_init
|
||||||
|
|
||||||
|
|
||||||
|
!--------------------------------------------------------------------------------------------------
|
||||||
|
!> @brief returns the 2nd Piola-Kirchhoff stress tensor and its tangent with respect to
|
||||||
|
!> the elastic and intermediate deformation gradients using Hooke's law
|
||||||
|
!--------------------------------------------------------------------------------------------------
|
||||||
|
module subroutine phase_hooke_SandItsTangents(S, dS_dFe, dS_dFi, &
|
||||||
|
Fe, Fi, ph, en)
|
||||||
|
|
||||||
|
integer, intent(in) :: &
|
||||||
|
ph, &
|
||||||
|
en
|
||||||
|
real(pReal), intent(in), dimension(3,3) :: &
|
||||||
|
Fe, & !< elastic deformation gradient
|
||||||
|
Fi !< intermediate deformation gradient
|
||||||
|
real(pReal), intent(out), dimension(3,3) :: &
|
||||||
|
S !< 2nd Piola-Kirchhoff stress tensor in lattice configuration
|
||||||
|
real(pReal), intent(out), dimension(3,3,3,3) :: &
|
||||||
|
dS_dFe, & !< derivative of 2nd P-K stress with respect to elastic deformation gradient
|
||||||
|
dS_dFi !< derivative of 2nd P-K stress with respect to intermediate deformation gradient
|
||||||
|
|
||||||
|
real(pReal), dimension(3,3) :: E
|
||||||
|
real(pReal), dimension(3,3,3,3) :: C
|
||||||
|
integer :: &
|
||||||
|
d, & !< counter in degradation loop
|
||||||
|
i, j
|
||||||
|
|
||||||
|
C = math_66toSym3333(phase_homogenizedC(ph,en))
|
||||||
|
|
||||||
|
DegradationLoop: do d = 1, phase_NstiffnessDegradations(ph)
|
||||||
|
degradationType: select case(phase_stiffnessDegradation(d,ph))
|
||||||
|
case (STIFFNESS_DEGRADATION_damage_ID) degradationType
|
||||||
|
C = C * damage_phi(ph,en)**2
|
||||||
|
end select degradationType
|
||||||
|
enddo DegradationLoop
|
||||||
|
|
||||||
|
E = 0.5_pReal*(matmul(transpose(Fe),Fe)-math_I3) !< Green-Lagrange strain in unloaded configuration
|
||||||
|
S = math_mul3333xx33(C,matmul(matmul(transpose(Fi),E),Fi)) !< 2PK stress in lattice configuration in work conjugate with GL strain pulled back to lattice configuration
|
||||||
|
|
||||||
|
do i =1, 3;do j=1,3
|
||||||
|
dS_dFe(i,j,1:3,1:3) = matmul(Fe,matmul(matmul(Fi,C(i,j,1:3,1:3)),transpose(Fi))) !< dS_ij/dFe_kl = C_ijmn * Fi_lm * Fi_on * Fe_ko
|
||||||
|
dS_dFi(i,j,1:3,1:3) = 2.0_pReal*matmul(matmul(E,Fi),C(i,j,1:3,1:3)) !< dS_ij/dFi_kl = C_ijln * E_km * Fe_mn
|
||||||
|
enddo; enddo
|
||||||
|
|
||||||
|
end subroutine phase_hooke_SandItsTangents
|
||||||
|
|
||||||
|
|
||||||
|
!--------------------------------------------------------------------------------------------------
|
||||||
|
!> @brief returns the homogenized elasticity matrix
|
||||||
|
!> ToDo: homogenizedC66 would be more consistent
|
||||||
|
!--------------------------------------------------------------------------------------------------
|
||||||
|
module function phase_homogenizedC(ph,en) result(C)
|
||||||
|
|
||||||
|
real(pReal), dimension(6,6) :: C
|
||||||
|
integer, intent(in) :: ph, en
|
||||||
|
|
||||||
|
plasticType: select case (phase_plasticity(ph))
|
||||||
|
case (PLASTICITY_DISLOTWIN_ID) plasticType
|
||||||
|
C = plastic_dislotwin_homogenizedC(ph,en)
|
||||||
|
case default plasticType
|
||||||
|
C = lattice_C66(1:6,1:6,ph)
|
||||||
|
end select plasticType
|
||||||
|
|
||||||
|
end function phase_homogenizedC
|
||||||
|
|
||||||
|
|
||||||
|
end submodule elastic
|
Loading…
Reference in New Issue