2013-11-27 13:34:05 +05:30
!--------------------------------------------------------------------------------------------------
!> @author Christoph Kords, Max-Planck-Institut für Eisenforschung GmbH
!> @author Franz Roters, Max-Planck-Institut für Eisenforschung GmbH
!> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH
!> @brief material subroutine for plasticity including dislocation flux
!--------------------------------------------------------------------------------------------------
2021-01-27 01:22:48 +05:30
submodule ( phase : plastic ) nonlocal
2019-05-14 15:02:25 +05:30
use geometry_plastic_nonlocal , only : &
2023-12-29 22:32:52 +05:30
nCellNeighbors = > geometry_plastic_nonlocal_nIPneighbors , &
2019-05-14 15:02:25 +05:30
IPneighborhood = > geometry_plastic_nonlocal_IPneighborhood , &
2023-12-29 22:32:52 +05:30
IPvolume0 = > geometry_plastic_nonlocal_IPvolume0 , &
IParea0 = > geometry_plastic_nonlocal_IParea0 , &
IPareaNormal0 = > geometry_plastic_nonlocal_IPareaNormal0 , &
2020-12-20 21:41:43 +05:30
geometry_plastic_nonlocal_disable
2020-02-07 16:14:03 +05:30
2021-02-14 19:06:56 +05:30
type :: tGeometry
2023-12-29 22:32:52 +05:30
real ( pREAL ) , dimension ( : ) , allocatable :: v_0
real ( pREAL ) , dimension ( : , : ) , allocatable :: a_0 , x_0
real ( pREAL ) , dimension ( : , : , : ) , allocatable :: n_0
2022-02-04 12:03:12 +05:30
integer , dimension ( : , : , : ) , allocatable :: IPneighborhood
2021-02-14 19:06:56 +05:30
end type tGeometry
type ( tGeometry ) , dimension ( : ) , allocatable :: geom
2019-03-17 21:32:08 +05:30
! storage order of dislocation types
2020-03-29 23:37:09 +05:30
integer , dimension ( * ) , parameter :: &
2019-03-17 21:32:08 +05:30
sgl = [ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 ] !< signed (single)
2020-03-29 23:37:09 +05:30
integer , dimension ( * ) , parameter :: &
2019-03-17 21:32:08 +05:30
edg = [ 1 , 2 , 5 , 6 , 9 ] , & !< edge
scr = [ 3 , 4 , 7 , 8 , 10 ] !< screw
2020-03-29 23:37:09 +05:30
integer , dimension ( * ) , parameter :: &
2019-03-17 21:32:08 +05:30
mob = [ 1 , 2 , 3 , 4 ] , & !< mobile
imm = [ 5 , 6 , 7 , 8 ] !< immobile (blocked)
2020-03-29 23:37:09 +05:30
integer , dimension ( * ) , parameter :: &
2019-03-17 21:32:08 +05:30
dip = [ 9 , 10 ] , & !< dipole
imm_edg = imm ( 1 : 2 ) , & !< immobile edge
imm_scr = imm ( 3 : 4 ) !< immobile screw
integer , parameter :: &
mob_edg_pos = 1 , & !< mobile edge positive
mob_edg_neg = 2 , & !< mobile edge negative
mob_scr_pos = 3 , & !< mobile screw positive
mob_scr_neg = 4 !< mobile screw positive
2023-06-04 10:52:25 +05:30
real ( pREAL ) , dimension ( : , : , : , : , : , : ) , allocatable :: &
2021-04-25 11:36:52 +05:30
compatibility !< slip system compatibility between en and my neighbors
2020-02-07 16:14:03 +05:30
2020-03-17 12:05:25 +05:30
type :: tInitialParameters !< container type for internal constitutive parameters
2023-06-04 10:52:25 +05:30
real ( pREAL ) :: &
2020-09-22 21:41:09 +05:30
sigma_rho_u , & !< standard deviation of scatter in initial dislocation density
random_rho_u , &
random_rho_u_binning
2023-06-04 10:52:25 +05:30
real ( pREAL ) , dimension ( : ) , allocatable :: &
2020-09-22 21:41:09 +05:30
rho_u_ed_pos_0 , & !< initial edge_pos dislocation density
rho_u_ed_neg_0 , & !< initial edge_neg dislocation density
rho_u_sc_pos_0 , & !< initial screw_pos dislocation density
rho_u_sc_neg_0 , & !< initial screw_neg dislocation density
rho_d_ed_0 , & !< initial edge dipole dislocation density
rho_d_sc_0 !< initial screw dipole dislocation density
2020-05-31 01:09:35 +05:30
integer , dimension ( : ) , allocatable :: &
2020-03-17 12:05:25 +05:30
N_sl
end type tInitialParameters
2019-12-04 23:30:56 +05:30
type :: tParameters !< container type for internal constitutive parameters
2023-06-04 10:52:25 +05:30
real ( pREAL ) :: &
2020-09-22 21:41:09 +05:30
V_at , & !< atomic volume
D_0 , & !< prefactor for self-diffusion coefficient
Q_cl , & !< activation enthalpy for diffusion
2020-03-14 23:41:26 +05:30
atol_rho , & !< absolute tolerance for dislocation density in state integration
2020-09-22 21:41:09 +05:30
rho_significant , & !< density considered significant
2020-09-23 04:25:19 +05:30
rho_min , & !< number of dislocations considered significant
w , & !< width of a doubkle kink in multiples of the Burgers vector length b
2020-09-22 21:41:09 +05:30
Q_sol , & !< activation energy for solid solution in J
2020-09-23 05:36:03 +05:30
f_sol , & !< solid solution obstacle size in multiples of the Burgers vector length
2020-09-22 21:41:09 +05:30
c_sol , & !< concentration of solid solution in atomic parts
2019-03-17 21:32:08 +05:30
p , & !< parameter for kinetic law (Kocks,Argon,Ashby)
q , & !< parameter for kinetic law (Kocks,Argon,Ashby)
2021-06-24 20:01:07 +05:30
B , & !< drag coefficient in Pa s
2020-09-22 21:41:09 +05:30
nu_a , & !< attack frequency in Hz
chi_surface , & !< transmissivity at free surface
chi_GB , & !< transmissivity at grain boundary (identified by different texture)
2021-06-24 22:44:19 +05:30
C_CFL , & !< safety factor for CFL flux condition
2020-09-22 21:41:09 +05:30
f_ed_mult , & !< factor that determines how much edge dislocations contribute to multiplication (0...1)
f_F , &
f_ed , &
2019-03-17 21:32:08 +05:30
mu , &
nu
2023-06-04 10:52:25 +05:30
real ( pREAL ) , dimension ( : ) , allocatable :: &
2020-09-22 21:41:09 +05:30
i_sl , & !< mean free path prefactor for each
2020-09-23 05:36:03 +05:30
b_sl !< absolute length of Burgers vector [m]
2023-06-04 10:52:25 +05:30
real ( pREAL ) , dimension ( : , : ) , allocatable :: &
2019-03-17 21:32:08 +05:30
slip_normal , &
slip_direction , &
slip_transverse , &
2023-06-23 00:13:55 +05:30
minDipoleHeight , & ! minimum stable dipole height edge and screw
2019-03-17 21:32:08 +05:30
peierlsstress , & ! edge and screw
2020-09-22 21:41:09 +05:30
h_sl_sl , & !< coefficients for slip-slip interaction
2019-03-17 21:32:08 +05:30
forestProjection_Edge , & !< matrix of forest projections of edge dislocations
forestProjection_Screw !< matrix of forest projections of screw dislocations
2023-06-04 10:52:25 +05:30
real ( pREAL ) , dimension ( : , : , : ) , allocatable :: &
2021-07-22 03:35:49 +05:30
P_sl , & !< Schmid contribution
2021-07-21 19:59:57 +05:30
P_nS_pos , &
P_nS_neg !< combined projection of Schmid and non-Schmid contributions to the resolved shear stress (only for screws)
2019-03-17 21:32:08 +05:30
integer :: &
2021-06-25 03:05:14 +05:30
sum_N_sl = 0
2020-03-17 12:05:25 +05:30
integer , dimension ( : ) , allocatable :: &
2019-03-17 21:32:08 +05:30
colinearSystem !< colinear system to the active slip system (only valid for fcc!)
2022-11-30 18:03:04 +05:30
character ( len = : ) , allocatable :: &
2022-11-30 01:26:13 +05:30
isotropic_bound
2023-06-04 10:47:38 +05:30
character ( len = pSTRLEN ) , dimension ( : ) , allocatable :: &
2020-02-14 13:56:26 +05:30
output
2019-12-04 23:30:56 +05:30
logical :: &
2023-09-15 22:26:27 +05:30
shortRangeStressCorrection !< use of short range stress correction by excess density gradient term
2021-07-27 00:08:43 +05:30
character ( len = : ) , allocatable , dimension ( : ) :: &
systems_sl
2019-03-17 21:32:08 +05:30
end type tParameters
2020-02-07 16:14:03 +05:30
2021-07-27 02:26:40 +05:30
type :: tNonlocalDependentState
2023-06-04 10:52:25 +05:30
real ( pREAL ) , allocatable , dimension ( : , : ) :: &
2022-02-04 04:41:08 +05:30
tau_pass , &
2023-12-23 03:07:47 +05:30
tau_back , &
2023-12-23 04:15:34 +05:30
rho_forest , &
max_dipole_height
2023-06-04 10:52:25 +05:30
real ( pREAL ) , allocatable , dimension ( : , : , : , : , : ) :: &
2022-02-04 04:41:08 +05:30
compatibility
2021-07-27 02:26:40 +05:30
end type tNonlocalDependentState
2020-02-07 16:14:03 +05:30
2019-12-04 23:30:56 +05:30
type :: tNonlocalState
2023-06-04 10:52:25 +05:30
real ( pREAL ) , pointer , dimension ( : , : ) :: &
2019-03-17 21:32:08 +05:30
rho , & ! < all dislocations
2023-12-29 22:32:52 +05:30
rho_sgl , &
2023-12-30 03:03:42 +05:30
rho_sgl_mob , &
2019-03-17 21:32:08 +05:30
rho_sgl_mob_edg_pos , &
rho_sgl_mob_edg_neg , &
rho_sgl_mob_scr_pos , &
rho_sgl_mob_scr_neg , &
2023-12-29 22:32:52 +05:30
rho_sgl_imm , &
2019-03-17 21:32:08 +05:30
rho_sgl_imm_edg_pos , &
rho_sgl_imm_edg_neg , &
rho_sgl_imm_scr_pos , &
rho_sgl_imm_scr_neg , &
2023-12-29 22:32:52 +05:30
rho_dip , &
2019-03-17 21:32:08 +05:30
rho_dip_edg , &
rho_dip_scr , &
2019-12-01 14:05:44 +05:30
gamma , &
2019-12-01 13:25:24 +05:30
v , &
2023-09-15 22:26:27 +05:30
v_edg_pos , &
v_edg_neg , &
v_scr_pos , &
v_scr_neg
2019-03-17 21:32:08 +05:30
end type tNonlocalState
2020-07-03 20:15:11 +05:30
2020-07-02 02:21:21 +05:30
type ( tNonlocalState ) , allocatable , dimension ( : ) :: &
2019-03-17 21:32:08 +05:30
deltaState , &
dotState , &
2020-02-07 16:14:03 +05:30
state , &
state0
2021-02-14 19:59:10 +05:30
type ( tParameters ) , dimension ( : ) , allocatable :: param !< containers of constitutive parameters
2021-07-27 02:26:40 +05:30
type ( tNonlocalDependentState ) , dimension ( : ) , allocatable :: dependentState
2019-02-18 14:58:08 +05:30
2013-11-27 13:34:05 +05:30
contains
2009-08-11 22:01:57 +05:30
2020-09-14 00:30:34 +05:30
2013-10-09 11:42:16 +05:30
!--------------------------------------------------------------------------------------------------
2020-09-14 00:30:34 +05:30
!> @brief Perform module initialization.
2013-10-09 11:42:16 +05:30
!> @details reads in material parameters, allocates arrays, and does sanity checks
!--------------------------------------------------------------------------------------------------
2020-08-15 19:32:10 +05:30
module function plastic_nonlocal_init ( ) result ( myPlasticity )
2019-02-21 04:54:35 +05:30
2020-08-15 19:32:10 +05:30
logical , dimension ( : ) , allocatable :: myPlasticity
2019-03-17 18:05:41 +05:30
integer :: &
2021-02-16 20:36:09 +05:30
ph , &
2021-03-05 01:46:36 +05:30
Nmembers , &
2023-12-23 03:07:47 +05:30
sizeState , sizeDotState , sizeDeltaState , &
2023-12-30 03:03:42 +05:30
s1 , s2
2023-09-15 22:26:27 +05:30
real ( pREAL ) , dimension ( : , : ) , allocatable :: &
a_nS !< non-Schmid coefficients
2023-03-01 01:27:44 +05:30
character ( len = : ) , allocatable :: &
refs , &
extmsg
2020-03-17 12:05:25 +05:30
type ( tInitialParameters ) :: &
ini
2022-10-25 21:39:36 +05:30
type ( tDict ) , pointer :: &
2020-08-15 19:32:10 +05:30
phases , &
phase , &
2020-11-03 03:16:46 +05:30
mech , &
2020-08-15 19:32:10 +05:30
pl
2019-03-09 15:32:12 +05:30
2020-08-15 19:32:10 +05:30
myPlasticity = plastic_active ( 'nonlocal' )
2023-09-15 22:26:27 +05:30
if ( count ( myPlasticity ) == 0 ) then
2023-02-21 20:48:17 +05:30
call geometry_plastic_nonlocal_disable ( )
2020-08-15 19:32:10 +05:30
return
2021-11-15 23:05:44 +05:30
end if
2020-12-20 21:41:43 +05:30
2021-11-15 23:05:44 +05:30
print '(/,1x,a)' , '<<<+- phase:mechanical:plastic:nonlocal init -+>>>'
2021-02-13 17:37:35 +05:30
2021-11-15 23:05:44 +05:30
print '(/,1x,a)' , 'C. Reuber et al., Acta Materialia 71:333–
2021-12-31 02:32:29 +05:30
print '( 1x,a)' , 'https://doi.org/10.1016/j.actamat.2014.03.012'
2020-08-15 19:32:10 +05:30
2021-11-15 23:05:44 +05:30
print '(/,1x,a)' , 'C. Kords, Dissertation RWTH Aachen, 2014'
print '( 1x,a)' , 'http://publications.rwth-aachen.de/record/229993'
2020-07-02 00:52:05 +05:30
2023-09-15 22:26:27 +05:30
print '(/,1x,a,1x,i0)' , '# phases:' , count ( myPlasticity ) ; flush ( IO_STDOUT )
2021-02-14 19:06:56 +05:30
2022-10-25 21:39:36 +05:30
phases = > config_material % get_dict ( 'phase' )
2021-02-14 19:06:56 +05:30
allocate ( geom ( phases % length ) )
2021-02-14 23:00:57 +05:30
allocate ( param ( phases % length ) )
allocate ( state ( phases % length ) )
allocate ( state0 ( phases % length ) )
allocate ( dotState ( phases % length ) )
allocate ( deltaState ( phases % length ) )
2021-07-27 02:26:40 +05:30
allocate ( dependentState ( phases % length ) )
2023-01-10 16:24:13 +05:30
extmsg = ''
2013-01-22 05:20:28 +05:30
2021-02-16 20:36:09 +05:30
do ph = 1 , phases % length
2021-11-15 23:05:44 +05:30
if ( . not . myPlasticity ( ph ) ) cycle
2021-02-14 23:00:57 +05:30
2021-02-16 20:36:09 +05:30
associate ( prm = > param ( ph ) , dot = > dotState ( ph ) , stt = > state ( ph ) , &
2021-07-27 02:26:40 +05:30
st0 = > state0 ( ph ) , del = > deltaState ( ph ) , dst = > dependentState ( ph ) )
2021-02-16 20:36:09 +05:30
2022-10-25 21:39:36 +05:30
phase = > phases % get_dict ( ph )
mech = > phase % get_dict ( 'mechanical' )
pl = > mech % get_dict ( 'plastic' )
2020-08-15 19:32:10 +05:30
2023-06-23 00:13:55 +05:30
print '(/,1x,a,1x,i0,a)' , 'phase' , ph , ': ' / / phases % key ( ph )
2023-03-01 01:27:44 +05:30
refs = config_listReferences ( pl , indent = 3 )
if ( len ( refs ) > 0 ) print '(/,1x,a)' , refs
2023-02-25 17:13:10 +05:30
2020-08-15 19:32:10 +05:30
#if defined (__GFORTRAN__)
2023-06-04 10:47:38 +05:30
prm % output = output_as1dStr ( pl )
2020-08-15 19:32:10 +05:30
#else
2023-06-04 10:47:38 +05:30
prm % output = pl % get_as1dStr ( 'output' , defaultVal = emptyStrArray )
2020-08-15 19:32:10 +05:30
#endif
2020-09-14 00:30:34 +05:30
2023-02-25 17:13:10 +05:30
plasticState ( ph ) % nonlocal = pl % get_asBool ( 'flux' , defaultVal = . True . )
2023-06-04 10:47:38 +05:30
prm % isotropic_bound = pl % get_asStr ( 'isotropic_bound' , defaultVal = 'isostrain' )
2023-06-04 10:52:25 +05:30
prm % atol_rho = pl % get_asReal ( 'atol_rho' , defaultVal = 1.0_pREAL )
2020-02-07 16:14:03 +05:30
2021-03-11 22:30:07 +05:30
ini % N_sl = pl % get_as1dInt ( 'N_sl' , defaultVal = emptyIntArray )
2020-03-17 12:05:25 +05:30
prm % sum_N_sl = sum ( abs ( ini % N_sl ) )
2020-03-16 23:36:10 +05:30
slipActive : if ( prm % sum_N_sl > 0 ) then
2023-07-15 23:58:57 +05:30
prm % systems_sl = crystal_labels_slip ( ini % N_sl , phase_lattice ( ph ) )
prm % P_sl = crystal_SchmidMatrix_slip ( ini % N_sl , phase_lattice ( ph ) , phase_cOverA ( ph ) )
2009-08-11 22:01:57 +05:30
2021-07-21 19:16:38 +05:30
if ( phase_lattice ( ph ) == 'cI' ) then
2023-09-15 22:26:27 +05:30
allocate ( a_nS ( 3 , size ( pl % get_as1dReal ( 'a_nonSchmid_110' , defaultVal = emptyRealArray ) ) ) , source = 0.0_pREAL ) ! anticipating parameters for all three families
a_nS ( 1 , : ) = pl % get_as1dReal ( 'a_nonSchmid_110' , defaultVal = emptyRealArray )
prm % P_nS_pos = crystal_SchmidMatrix_slip ( ini % N_sl , phase_lattice ( ph ) , phase_cOverA ( ph ) , nonSchmidCoefficients = a_nS , sense = + 1 )
prm % P_nS_neg = crystal_SchmidMatrix_slip ( ini % N_sl , phase_lattice ( ph ) , phase_cOverA ( ph ) , nonSchmidCoefficients = a_nS , sense = - 1 )
2019-02-21 04:54:35 +05:30
else
2023-09-15 22:26:27 +05:30
prm % P_nS_pos = + prm % P_sl
prm % P_nS_neg = - prm % P_sl
2021-11-15 23:05:44 +05:30
end if
2019-02-21 04:54:35 +05:30
2023-07-15 23:58:57 +05:30
prm % h_sl_sl = crystal_interaction_SlipBySlip ( ini % N_sl , pl % get_as1dReal ( 'h_sl-sl' ) , &
2021-07-21 19:16:38 +05:30
phase_lattice ( ph ) )
2023-07-15 23:58:57 +05:30
prm % forestProjection_edge = crystal_forestProjection_edge ( ini % N_sl , phase_lattice ( ph ) , &
2021-07-21 19:16:38 +05:30
phase_cOverA ( ph ) )
2023-07-15 23:58:57 +05:30
prm % forestProjection_screw = crystal_forestProjection_screw ( ini % N_sl , phase_lattice ( ph ) , &
2021-07-21 19:16:38 +05:30
phase_cOverA ( ph ) )
2023-07-15 23:58:57 +05:30
prm % slip_direction = crystal_slip_direction ( ini % N_sl , phase_lattice ( ph ) , phase_cOverA ( ph ) )
prm % slip_transverse = crystal_slip_transverse ( ini % N_sl , phase_lattice ( ph ) , phase_cOverA ( ph ) )
prm % slip_normal = crystal_slip_normal ( ini % N_sl , phase_lattice ( ph ) , phase_cOverA ( ph ) )
2019-02-21 04:54:35 +05:30
! collinear systems (only for octahedral slip systems in fcc)
2020-03-16 23:36:10 +05:30
allocate ( prm % colinearSystem ( prm % sum_N_sl ) , source = - 1 )
do s1 = 1 , prm % sum_N_sl
do s2 = 1 , prm % sum_N_sl
2019-02-21 04:54:35 +05:30
if ( all ( dEq0 ( math_cross ( prm % slip_direction ( 1 : 3 , s1 ) , prm % slip_direction ( 1 : 3 , s2 ) ) ) ) . and . &
2019-02-21 23:48:06 +05:30
any ( dNeq0 ( math_cross ( prm % slip_normal ( 1 : 3 , s1 ) , prm % slip_normal ( 1 : 3 , s2 ) ) ) ) ) &
2019-02-21 04:54:35 +05:30
prm % colinearSystem ( s1 ) = s2
2021-11-15 23:05:44 +05:30
end do
end do
2020-02-07 16:14:03 +05:30
2023-06-03 20:36:32 +05:30
ini % rho_u_ed_pos_0 = pl % get_as1dReal ( 'rho_u_ed_pos_0' , requiredSize = size ( ini % N_sl ) )
ini % rho_u_ed_neg_0 = pl % get_as1dReal ( 'rho_u_ed_neg_0' , requiredSize = size ( ini % N_sl ) )
ini % rho_u_sc_pos_0 = pl % get_as1dReal ( 'rho_u_sc_pos_0' , requiredSize = size ( ini % N_sl ) )
ini % rho_u_sc_neg_0 = pl % get_as1dReal ( 'rho_u_sc_neg_0' , requiredSize = size ( ini % N_sl ) )
ini % rho_d_ed_0 = pl % get_as1dReal ( 'rho_d_ed_0' , requiredSize = size ( ini % N_sl ) )
ini % rho_d_sc_0 = pl % get_as1dReal ( 'rho_d_sc_0' , requiredSize = size ( ini % N_sl ) )
2020-02-07 16:14:03 +05:30
2023-06-23 00:13:55 +05:30
prm % i_sl = math_expand ( pl % get_as1dReal ( 'i_sl' , requiredSize = size ( ini % N_sl ) ) , ini % N_sl )
prm % b_sl = math_expand ( pl % get_as1dReal ( 'b_sl' , requiredSize = size ( ini % N_sl ) ) , ini % N_sl )
2020-02-07 16:14:03 +05:30
2020-03-16 23:36:10 +05:30
allocate ( prm % minDipoleHeight ( prm % sum_N_sl , 2 ) )
2023-06-23 00:13:55 +05:30
prm % minDipoleHeight ( : , 1 ) = math_expand ( pl % get_as1dReal ( 'd_ed' , requiredSize = size ( ini % N_sl ) ) , ini % N_sl )
prm % minDipoleHeight ( : , 2 ) = math_expand ( pl % get_as1dReal ( 'd_sc' , requiredSize = size ( ini % N_sl ) ) , ini % N_sl )
2020-02-07 16:14:03 +05:30
2020-03-16 23:36:10 +05:30
allocate ( prm % peierlsstress ( prm % sum_N_sl , 2 ) )
2023-06-23 00:13:55 +05:30
prm % peierlsstress ( : , 1 ) = math_expand ( pl % get_as1dReal ( 'tau_Peierls_ed' , requiredSize = size ( ini % N_sl ) ) , ini % N_sl )
prm % peierlsstress ( : , 2 ) = math_expand ( pl % get_as1dReal ( 'tau_Peierls_sc' , requiredSize = size ( ini % N_sl ) ) , ini % N_sl )
prm % rho_significant = pl % get_asReal ( 'rho_significant' )
prm % rho_min = pl % get_asReal ( 'rho_min' , 0.0_pREAL )
prm % C_CFL = pl % get_asReal ( 'C_CFL' , defaultVal = 2.0_pREAL )
prm % V_at = pl % get_asReal ( 'V_at' )
prm % D_0 = pl % get_asReal ( 'D_0' )
prm % Q_cl = pl % get_asReal ( 'Q_cl' )
prm % f_F = pl % get_asReal ( 'f_F' )
prm % f_ed = pl % get_asReal ( 'f_ed' )
prm % w = pl % get_asReal ( 'w' )
prm % Q_sol = pl % get_asReal ( 'Q_sol' )
prm % f_sol = pl % get_asReal ( 'f_sol' )
prm % c_sol = pl % get_asReal ( 'c_sol' )
prm % p = pl % get_asReal ( 'p_sl' )
prm % q = pl % get_asReal ( 'q_sl' )
prm % B = pl % get_asReal ( 'B' )
prm % nu_a = pl % get_asReal ( 'nu_a' )
2019-02-21 04:54:35 +05:30
2019-02-21 23:48:06 +05:30
! ToDo: discuss logic
2023-06-23 00:13:55 +05:30
ini % sigma_rho_u = pl % get_asReal ( 'sigma_rho_u' )
ini % random_rho_u = pl % get_asReal ( 'random_rho_u' , defaultVal = 0.0_pREAL )
2020-08-15 19:32:10 +05:30
if ( pl % contains ( 'random_rho_u' ) ) &
2023-06-23 00:13:55 +05:30
ini % random_rho_u_binning = pl % get_asReal ( 'random_rho_u_binning' , defaultVal = 0.0_pREAL ) !ToDo: useful default?
2023-06-04 10:52:25 +05:30
! if (rhoSglRandom(instance) < 0.0_pREAL) &
! if (rhoSglRandomBinning(instance) <= 0.0_pREAL) &
2020-02-07 16:14:03 +05:30
2023-06-04 10:52:25 +05:30
prm % chi_surface = pl % get_asReal ( 'chi_surface' , defaultVal = 1.0_pREAL )
prm % chi_GB = pl % get_asReal ( 'chi_GB' , defaultVal = - 1.0_pREAL )
2023-06-03 20:36:32 +05:30
prm % f_ed_mult = pl % get_asReal ( 'f_ed_mult' )
2020-08-15 19:32:10 +05:30
prm % shortRangeStressCorrection = pl % get_asBool ( 'short_range_stress_correction' , defaultVal = . false . )
2020-02-07 16:14:03 +05:30
2020-04-01 14:39:30 +05:30
2019-02-21 04:54:35 +05:30
!--------------------------------------------------------------------------------------------------
! sanity checks
2023-06-04 10:52:25 +05:30
if ( any ( prm % b_sl < 0.0_pREAL ) ) extmsg = trim ( extmsg ) / / ' b_sl'
if ( any ( prm % i_sl < = 0.0_pREAL ) ) extmsg = trim ( extmsg ) / / ' i_sl'
if ( any ( ini % rho_u_ed_pos_0 < 0.0_pREAL ) ) extmsg = trim ( extmsg ) / / ' rho_u_ed_pos_0'
if ( any ( ini % rho_u_ed_neg_0 < 0.0_pREAL ) ) extmsg = trim ( extmsg ) / / ' rho_u_ed_neg_0'
if ( any ( ini % rho_u_sc_pos_0 < 0.0_pREAL ) ) extmsg = trim ( extmsg ) / / ' rho_u_sc_pos_0'
if ( any ( ini % rho_u_sc_neg_0 < 0.0_pREAL ) ) extmsg = trim ( extmsg ) / / ' rho_u_sc_neg_0'
if ( any ( ini % rho_d_ed_0 < 0.0_pREAL ) ) extmsg = trim ( extmsg ) / / ' rho_d_ed_0'
if ( any ( ini % rho_d_sc_0 < 0.0_pREAL ) ) extmsg = trim ( extmsg ) / / ' rho_d_sc_0'
if ( any ( prm % peierlsstress < 0.0_pREAL ) ) extmsg = trim ( extmsg ) / / ' tau_peierls'
if ( any ( prm % minDipoleHeight < 0.0_pREAL ) ) extmsg = trim ( extmsg ) / / ' d_ed or d_sc'
if ( prm % B < 0.0_pREAL ) extmsg = trim ( extmsg ) / / ' B'
if ( prm % Q_cl < 0.0_pREAL ) extmsg = trim ( extmsg ) / / ' Q_cl'
if ( prm % nu_a < = 0.0_pREAL ) extmsg = trim ( extmsg ) / / ' nu_a'
if ( prm % w < = 0.0_pREAL ) extmsg = trim ( extmsg ) / / ' w'
if ( prm % D_0 < 0.0_pREAL ) extmsg = trim ( extmsg ) / / ' D_0'
if ( prm % V_at < = 0.0_pREAL ) extmsg = trim ( extmsg ) / / ' V_at' ! ToDo: in dislotungsten, the atomic volume is given as a factor
if ( prm % rho_min < 0.0_pREAL ) extmsg = trim ( extmsg ) / / ' rho_min'
if ( prm % rho_significant < 0.0_pREAL ) extmsg = trim ( extmsg ) / / ' rho_significant'
if ( prm % atol_rho < 0.0_pREAL ) extmsg = trim ( extmsg ) / / ' atol_rho'
if ( prm % C_CFL < 0.0_pREAL ) extmsg = trim ( extmsg ) / / ' C_CFL'
if ( prm % p < = 0.0_pREAL . or . prm % p > 1.0_pREAL ) extmsg = trim ( extmsg ) / / ' p_sl'
if ( prm % q < 1.0_pREAL . or . prm % q > 2.0_pREAL ) extmsg = trim ( extmsg ) / / ' q_sl'
if ( prm % f_F < 0.0_pREAL . or . prm % f_F > 1.0_pREAL ) &
2020-08-15 19:32:10 +05:30
extmsg = trim ( extmsg ) / / ' f_F'
2023-06-04 10:52:25 +05:30
if ( prm % f_ed < 0.0_pREAL . or . prm % f_ed > 1.0_pREAL ) &
2020-08-15 19:32:10 +05:30
extmsg = trim ( extmsg ) / / ' f_ed'
2020-02-07 16:14:03 +05:30
2023-06-04 10:52:25 +05:30
if ( prm % Q_sol < = 0.0_pREAL ) extmsg = trim ( extmsg ) / / ' Q_sol'
if ( prm % f_sol < = 0.0_pREAL ) extmsg = trim ( extmsg ) / / ' f_sol'
if ( prm % c_sol < = 0.0_pREAL ) extmsg = trim ( extmsg ) / / ' c_sol'
2019-02-21 04:54:35 +05:30
2023-06-04 10:52:25 +05:30
if ( prm % chi_GB > 1.0_pREAL ) extmsg = trim ( extmsg ) / / ' chi_GB'
if ( prm % chi_surface < 0.0_pREAL . or . prm % chi_surface > 1.0_pREAL ) &
2020-09-22 21:41:09 +05:30
extmsg = trim ( extmsg ) / / ' chi_surface'
2020-02-07 16:14:03 +05:30
2023-06-04 10:52:25 +05:30
if ( prm % f_ed_mult < 0.0_pREAL . or . prm % f_ed_mult > 1.0_pREAL ) &
2020-09-22 21:41:09 +05:30
extmsg = trim ( extmsg ) / / ' f_ed_mult'
2009-08-11 22:01:57 +05:30
2021-11-15 23:05:44 +05:30
end if slipActive
2019-02-19 15:01:14 +05:30
2019-02-21 04:54:35 +05:30
!--------------------------------------------------------------------------------------------------
! allocate state arrays
2023-01-23 13:01:59 +05:30
Nmembers = count ( material_ID_phase == ph )
2023-12-29 22:32:52 +05:30
sizeDotState = size ( [ 'rho_sgl_mob_edg_pos' , 'rho_sgl_mob_edg_neg' , &
'rho_sgl_mob_scr_pos' , 'rho_sgl_mob_scr_neg' , &
'rho_sgl_imm_edg_pos' , 'rho_sgl_imm_edg_neg' , &
'rho_sgl_imm_scr_pos' , 'rho_sgl_imm_scr_neg' , &
'rho_dip_edg ' , 'rho_dip_scr ' , &
'gamma ' ] ) * prm % sum_N_sl !< "basic" microstructural state variables that are independent from other state variables
2023-12-23 03:07:47 +05:30
sizeState = sizeDotState &
2020-02-07 16:14:03 +05:30
+ size ( [ 'velocityEdgePos ' , 'velocityEdgeNeg ' , &
2023-12-23 04:15:34 +05:30
'velocityScrewPos ' , 'velocityScrewNeg ' ] ) * prm % sum_N_sl !< other dependent state variables that are not updated by microstructure
2019-02-21 04:54:35 +05:30
sizeDeltaState = sizeDotState
2020-02-07 16:14:03 +05:30
2022-02-04 03:27:32 +05:30
call phase_allocateState ( plasticState ( ph ) , Nmembers , sizeState , sizeDotState , sizeDeltaState , 0 ) ! ToDo: state structure does not follow convention
2019-12-21 16:58:24 +05:30
2023-12-29 22:32:52 +05:30
allocate ( geom ( ph ) % v_0 ( Nmembers ) )
allocate ( geom ( ph ) % a_0 ( nCellNeighbors , Nmembers ) )
allocate ( geom ( ph ) % x_0 ( 3 , Nmembers ) )
allocate ( geom ( ph ) % n_0 ( 3 , nCellNeighbors , Nmembers ) )
allocate ( geom ( ph ) % IPneighborhood ( 3 , nCellNeighbors , Nmembers ) )
2021-02-16 20:36:09 +05:30
call storeGeometry ( ph )
2021-02-14 19:06:56 +05:30
2022-12-07 22:59:03 +05:30
if ( plasticState ( ph ) % nonlocal . and . . not . allocated ( IPneighborhood ) ) &
2020-07-14 00:43:53 +05:30
call IO_error ( 212 , ext_msg = 'IPneighborhood does not exist' )
2021-02-16 20:36:09 +05:30
st0 % rho = > plasticState ( ph ) % state0 ( 0 * prm % sum_N_sl + 1 : 10 * prm % sum_N_sl , : )
stt % rho = > plasticState ( ph ) % state ( 0 * prm % sum_N_sl + 1 : 10 * prm % sum_N_sl , : )
dot % rho = > plasticState ( ph ) % dotState ( 0 * prm % sum_N_sl + 1 : 10 * prm % sum_N_sl , : )
del % rho = > plasticState ( ph ) % deltaState ( 0 * prm % sum_N_sl + 1 : 10 * prm % sum_N_sl , : )
plasticState ( ph ) % atol ( 1 : 10 * prm % sum_N_sl ) = prm % atol_rho
2020-03-16 23:36:10 +05:30
2023-12-29 22:32:52 +05:30
stt % rho_sgl = > plasticState ( ph ) % state ( 0 * prm % sum_N_sl + 1 : 8 * prm % sum_N_sl , : )
dot % rho_sgl = > plasticState ( ph ) % dotState ( 0 * prm % sum_N_sl + 1 : 8 * prm % sum_N_sl , : )
del % rho_sgl = > plasticState ( ph ) % deltaState ( 0 * prm % sum_N_sl + 1 : 8 * prm % sum_N_sl , : )
2020-03-16 23:36:10 +05:30
2023-12-30 03:03:42 +05:30
st0 % rho_sgl_mob = > plasticState ( ph ) % state0 ( 0 * prm % sum_N_sl + 1 : 4 * prm % sum_N_sl , : )
2023-12-29 22:32:52 +05:30
stt % rho_sgl_mob = > plasticState ( ph ) % state ( 0 * prm % sum_N_sl + 1 : 4 * prm % sum_N_sl , : )
dot % rho_sgl_mob = > plasticState ( ph ) % dotState ( 0 * prm % sum_N_sl + 1 : 4 * prm % sum_N_sl , : )
del % rho_sgl_mob = > plasticState ( ph ) % deltaState ( 0 * prm % sum_N_sl + 1 : 4 * prm % sum_N_sl , : )
2020-03-16 23:36:10 +05:30
2021-02-16 20:36:09 +05:30
stt % rho_sgl_mob_edg_pos = > plasticState ( ph ) % state ( 0 * prm % sum_N_sl + 1 : 1 * prm % sum_N_sl , : )
dot % rho_sgl_mob_edg_pos = > plasticState ( ph ) % dotState ( 0 * prm % sum_N_sl + 1 : 1 * prm % sum_N_sl , : )
del % rho_sgl_mob_edg_pos = > plasticState ( ph ) % deltaState ( 0 * prm % sum_N_sl + 1 : 1 * prm % sum_N_sl , : )
2020-03-16 23:36:10 +05:30
2021-02-16 20:36:09 +05:30
stt % rho_sgl_mob_edg_neg = > plasticState ( ph ) % state ( 1 * prm % sum_N_sl + 1 : 2 * prm % sum_N_sl , : )
dot % rho_sgl_mob_edg_neg = > plasticState ( ph ) % dotState ( 1 * prm % sum_N_sl + 1 : 2 * prm % sum_N_sl , : )
del % rho_sgl_mob_edg_neg = > plasticState ( ph ) % deltaState ( 1 * prm % sum_N_sl + 1 : 2 * prm % sum_N_sl , : )
2020-03-16 23:36:10 +05:30
2021-02-16 20:36:09 +05:30
stt % rho_sgl_mob_scr_pos = > plasticState ( ph ) % state ( 2 * prm % sum_N_sl + 1 : 3 * prm % sum_N_sl , : )
dot % rho_sgl_mob_scr_pos = > plasticState ( ph ) % dotState ( 2 * prm % sum_N_sl + 1 : 3 * prm % sum_N_sl , : )
del % rho_sgl_mob_scr_pos = > plasticState ( ph ) % deltaState ( 2 * prm % sum_N_sl + 1 : 3 * prm % sum_N_sl , : )
2020-03-16 23:36:10 +05:30
2021-02-16 20:36:09 +05:30
stt % rho_sgl_mob_scr_neg = > plasticState ( ph ) % state ( 3 * prm % sum_N_sl + 1 : 4 * prm % sum_N_sl , : )
dot % rho_sgl_mob_scr_neg = > plasticState ( ph ) % dotState ( 3 * prm % sum_N_sl + 1 : 4 * prm % sum_N_sl , : )
del % rho_sgl_mob_scr_neg = > plasticState ( ph ) % deltaState ( 3 * prm % sum_N_sl + 1 : 4 * prm % sum_N_sl , : )
2020-03-16 23:36:10 +05:30
2023-12-29 22:32:52 +05:30
stt % rho_sgl_imm = > plasticState ( ph ) % state ( 4 * prm % sum_N_sl + 1 : 8 * prm % sum_N_sl , : )
dot % rho_sgl_imm = > plasticState ( ph ) % dotState ( 4 * prm % sum_N_sl + 1 : 8 * prm % sum_N_sl , : )
del % rho_sgl_imm = > plasticState ( ph ) % deltaState ( 4 * prm % sum_N_sl + 1 : 8 * prm % sum_N_sl , : )
2020-03-16 23:36:10 +05:30
2021-02-16 20:36:09 +05:30
stt % rho_sgl_imm_edg_pos = > plasticState ( ph ) % state ( 4 * prm % sum_N_sl + 1 : 5 * prm % sum_N_sl , : )
dot % rho_sgl_imm_edg_pos = > plasticState ( ph ) % dotState ( 4 * prm % sum_N_sl + 1 : 5 * prm % sum_N_sl , : )
del % rho_sgl_imm_edg_pos = > plasticState ( ph ) % deltaState ( 4 * prm % sum_N_sl + 1 : 5 * prm % sum_N_sl , : )
2020-03-16 23:36:10 +05:30
2021-02-16 20:36:09 +05:30
stt % rho_sgl_imm_edg_neg = > plasticState ( ph ) % state ( 5 * prm % sum_N_sl + 1 : 6 * prm % sum_N_sl , : )
dot % rho_sgl_imm_edg_neg = > plasticState ( ph ) % dotState ( 5 * prm % sum_N_sl + 1 : 6 * prm % sum_N_sl , : )
del % rho_sgl_imm_edg_neg = > plasticState ( ph ) % deltaState ( 5 * prm % sum_N_sl + 1 : 6 * prm % sum_N_sl , : )
2020-03-16 23:36:10 +05:30
2021-02-16 20:36:09 +05:30
stt % rho_sgl_imm_scr_pos = > plasticState ( ph ) % state ( 6 * prm % sum_N_sl + 1 : 7 * prm % sum_N_sl , : )
dot % rho_sgl_imm_scr_pos = > plasticState ( ph ) % dotState ( 6 * prm % sum_N_sl + 1 : 7 * prm % sum_N_sl , : )
del % rho_sgl_imm_scr_pos = > plasticState ( ph ) % deltaState ( 6 * prm % sum_N_sl + 1 : 7 * prm % sum_N_sl , : )
2020-03-16 23:36:10 +05:30
2021-02-16 20:36:09 +05:30
stt % rho_sgl_imm_scr_neg = > plasticState ( ph ) % state ( 7 * prm % sum_N_sl + 1 : 8 * prm % sum_N_sl , : )
dot % rho_sgl_imm_scr_neg = > plasticState ( ph ) % dotState ( 7 * prm % sum_N_sl + 1 : 8 * prm % sum_N_sl , : )
del % rho_sgl_imm_scr_neg = > plasticState ( ph ) % deltaState ( 7 * prm % sum_N_sl + 1 : 8 * prm % sum_N_sl , : )
2020-03-16 23:36:10 +05:30
2023-12-29 22:32:52 +05:30
stt % rho_dip = > plasticState ( ph ) % state ( 8 * prm % sum_N_sl + 1 : 10 * prm % sum_N_sl , : )
dot % rho_dip = > plasticState ( ph ) % dotState ( 8 * prm % sum_N_sl + 1 : 10 * prm % sum_N_sl , : )
del % rho_dip = > plasticState ( ph ) % deltaState ( 8 * prm % sum_N_sl + 1 : 10 * prm % sum_N_sl , : )
2020-03-16 23:36:10 +05:30
2021-02-16 20:36:09 +05:30
stt % rho_dip_edg = > plasticState ( ph ) % state ( 8 * prm % sum_N_sl + 1 : 9 * prm % sum_N_sl , : )
dot % rho_dip_edg = > plasticState ( ph ) % dotState ( 8 * prm % sum_N_sl + 1 : 9 * prm % sum_N_sl , : )
del % rho_dip_edg = > plasticState ( ph ) % deltaState ( 8 * prm % sum_N_sl + 1 : 9 * prm % sum_N_sl , : )
2020-03-16 23:36:10 +05:30
2021-02-16 20:36:09 +05:30
stt % rho_dip_scr = > plasticState ( ph ) % state ( 9 * prm % sum_N_sl + 1 : 10 * prm % sum_N_sl , : )
dot % rho_dip_scr = > plasticState ( ph ) % dotState ( 9 * prm % sum_N_sl + 1 : 10 * prm % sum_N_sl , : )
del % rho_dip_scr = > plasticState ( ph ) % deltaState ( 9 * prm % sum_N_sl + 1 : 10 * prm % sum_N_sl , : )
2020-03-16 23:36:10 +05:30
2021-03-05 01:46:36 +05:30
stt % gamma = > plasticState ( ph ) % state ( 10 * prm % sum_N_sl + 1 : 11 * prm % sum_N_sl , 1 : Nmembers )
dot % gamma = > plasticState ( ph ) % dotState ( 10 * prm % sum_N_sl + 1 : 11 * prm % sum_N_sl , 1 : Nmembers )
del % gamma = > plasticState ( ph ) % deltaState ( 10 * prm % sum_N_sl + 1 : 11 * prm % sum_N_sl , 1 : Nmembers )
2023-06-04 10:52:25 +05:30
plasticState ( ph ) % atol ( 10 * prm % sum_N_sl + 1 : 11 * prm % sum_N_sl ) = pl % get_asReal ( 'atol_gamma' , defaultVal = 1.0e-6_pREAL )
if ( any ( plasticState ( ph ) % atol ( 10 * prm % sum_N_sl + 1 : 11 * prm % sum_N_sl ) < 0.0_pREAL ) ) &
2020-03-15 12:58:38 +05:30
extmsg = trim ( extmsg ) / / ' atol_gamma'
2020-02-07 16:14:03 +05:30
2023-12-23 03:07:47 +05:30
stt % v = > plasticState ( ph ) % state ( 11 * prm % sum_N_sl + 1 : 15 * prm % sum_N_sl , 1 : Nmembers )
2023-12-23 03:59:46 +05:30
st0 % v = > plasticState ( ph ) % state0 ( 11 * prm % sum_N_sl + 1 : 15 * prm % sum_N_sl , 1 : Nmembers )
2023-12-23 03:07:47 +05:30
stt % v_edg_pos = > plasticState ( ph ) % state ( 11 * prm % sum_N_sl + 1 : 12 * prm % sum_N_sl , 1 : Nmembers )
stt % v_edg_neg = > plasticState ( ph ) % state ( 12 * prm % sum_N_sl + 1 : 13 * prm % sum_N_sl , 1 : Nmembers )
stt % v_scr_pos = > plasticState ( ph ) % state ( 13 * prm % sum_N_sl + 1 : 14 * prm % sum_N_sl , 1 : Nmembers )
stt % v_scr_neg = > plasticState ( ph ) % state ( 14 * prm % sum_N_sl + 1 : 15 * prm % sum_N_sl , 1 : Nmembers )
2014-07-08 20:28:23 +05:30
2023-06-04 10:52:25 +05:30
allocate ( dst % tau_pass ( prm % sum_N_sl , Nmembers ) , source = 0.0_pREAL )
allocate ( dst % tau_back ( prm % sum_N_sl , Nmembers ) , source = 0.0_pREAL )
2023-12-23 03:07:47 +05:30
allocate ( dst % rho_forest ( prm % sum_N_sl , Nmembers ) , source = 0.0_pREAL )
2023-12-23 04:15:34 +05:30
allocate ( dst % max_dipole_height ( 2 * prm % sum_N_sl , Nmembers ) , source = 0.0_pREAL ) ! edge and screw
2023-12-29 22:32:52 +05:30
allocate ( dst % compatibility ( 2 , maxval ( param % sum_N_sl ) , maxval ( param % sum_N_sl ) , nCellNeighbors , Nmembers ) , source = 0.0_pREAL )
2019-03-17 21:32:08 +05:30
end associate
2019-02-20 18:02:08 +05:30
2021-03-05 01:46:36 +05:30
if ( Nmembers > 0 ) call stateInit ( ini , ph , Nmembers )
2019-02-22 14:32:43 +05:30
2020-03-15 03:23:05 +05:30
!--------------------------------------------------------------------------------------------------
! exit if any parameter is out of range
2022-05-27 03:54:40 +05:30
if ( extmsg / = '' ) call IO_error ( 211 , ext_msg = trim ( extmsg ) )
2020-03-15 03:23:05 +05:30
2021-11-15 23:05:44 +05:30
end do
2020-02-07 16:14:03 +05:30
2023-12-29 22:32:52 +05:30
allocate ( compatibility ( 2 , maxval ( param % sum_N_sl ) , maxval ( param % sum_N_sl ) , nCellNeighbors , &
2023-06-04 10:52:25 +05:30
discretization_nIPs , discretization_Nelems ) , source = 0.0_pREAL )
2020-02-07 16:14:03 +05:30
2020-08-15 19:32:10 +05:30
end function plastic_nonlocal_init
2009-09-18 21:07:14 +05:30
2013-10-09 11:42:16 +05:30
!--------------------------------------------------------------------------------------------------
!> @brief calculates quantities characterizing the microstructure
!--------------------------------------------------------------------------------------------------
2022-02-04 12:55:51 +05:30
module subroutine nonlocal_dependentState ( ph , en )
2020-02-07 16:14:03 +05:30
2020-03-16 21:59:47 +05:30
integer , intent ( in ) :: &
2021-02-14 19:59:10 +05:30
ph , &
2022-02-04 12:55:51 +05:30
en
2020-02-07 16:14:03 +05:30
2019-03-17 21:32:08 +05:30
integer :: &
2023-12-29 22:32:52 +05:30
en_nbr , & ! neighbor phase entry
el_nbr , & ! element number of neighboring material point
ip_nbr , & ! integration point of neighboring material point
2019-03-17 21:32:08 +05:30
c , & ! index of dilsocation character (edge, screw)
s , & ! slip system index
dir , &
2020-07-02 00:52:05 +05:30
n
2023-06-04 10:52:25 +05:30
real ( pREAL ) :: &
2019-03-17 21:32:08 +05:30
FVsize , &
2021-11-17 23:40:01 +05:30
nRealNeighbors , & ! number of really existing neighbors
mu , &
nu
2019-03-17 21:32:08 +05:30
integer , dimension ( 2 ) :: &
neighbors
2023-06-04 10:52:25 +05:30
real ( pREAL ) , dimension ( 2 ) :: &
2019-03-17 21:32:08 +05:30
rhoExcessGradient , &
rhoExcessGradient_over_rho , &
2023-12-29 22:32:52 +05:30
rho_sum
2023-06-04 10:52:25 +05:30
real ( pREAL ) , dimension ( 3 ) :: &
2019-03-17 21:32:08 +05:30
rhoExcessDifferences , &
normal_latticeConf
2023-06-04 10:52:25 +05:30
real ( pREAL ) , dimension ( 3 , 3 ) :: &
2019-03-17 21:32:08 +05:30
invFe , & !< inverse of elastic deformation gradient
invFp , & !< inverse of plastic deformation gradient
connections , &
invConnections
2023-12-29 22:32:52 +05:30
real ( pREAL ) , dimension ( 3 , nCellNeighbors ) :: &
2019-03-17 21:32:08 +05:30
connection_latticeConf
2023-06-04 10:52:25 +05:30
real ( pREAL ) , dimension ( param ( ph ) % sum_N_sl ) :: &
2019-03-17 21:32:08 +05:30
rho_edg_delta , &
rho_scr_delta
2023-06-04 10:52:25 +05:30
real ( pREAL ) , dimension ( param ( ph ) % sum_N_sl , 10 ) :: &
2019-03-17 21:32:08 +05:30
rho , &
2023-12-29 22:32:52 +05:30
rho_0 , &
rho_0_nbr
2023-06-04 10:52:25 +05:30
real ( pREAL ) , dimension ( param ( ph ) % sum_N_sl , param ( ph ) % sum_N_sl ) :: &
2019-03-17 21:32:08 +05:30
myInteractionMatrix ! corrected slip interaction matrix
2023-12-29 22:32:52 +05:30
real ( pREAL ) , dimension ( param ( ph ) % sum_N_sl , nCellNeighbors ) :: &
rho_edg_delta_nbr , &
rho_scr_delta_nbr
real ( pREAL ) , dimension ( 2 , maxval ( param % sum_N_sl ) , nCellNeighbors ) :: &
rho_delta_nbr , & ! excess density at neighboring material point
rho_sum_nbr ! total density at neighboring material point
2023-06-04 10:52:25 +05:30
real ( pREAL ) , dimension ( 3 , param ( ph ) % sum_N_sl , 2 ) :: &
2019-03-17 21:32:08 +05:30
m ! direction of dislocation motion
2020-02-07 16:14:03 +05:30
2021-07-27 02:26:40 +05:30
associate ( prm = > param ( ph ) , dst = > dependentState ( ph ) , stt = > state ( ph ) )
2020-02-07 16:14:03 +05:30
2022-11-12 04:33:30 +05:30
mu = elastic_mu ( ph , en , prm % isotropic_bound )
nu = elastic_nu ( ph , en , prm % isotropic_bound )
2021-04-25 11:36:52 +05:30
rho = getRho ( ph , en )
2020-02-07 16:14:03 +05:30
2023-12-23 03:07:47 +05:30
dst % rho_forest ( : , en ) = matmul ( prm % forestProjection_Edge , sum ( abs ( rho ( : , edg ) ) , 2 ) ) &
2020-02-07 16:14:03 +05:30
+ matmul ( prm % forestProjection_Screw , sum ( abs ( rho ( : , scr ) ) , 2 ) )
! coefficients are corrected for the line tension effect
2019-03-17 21:32:08 +05:30
! (see Kubin,Devincre,Hoc; 2008; Modeling dislocation storage rates and mean free paths in face-centered cubic crystals)
2021-06-01 02:32:51 +05:30
if ( any ( phase_lattice ( ph ) == [ 'cI' , 'cF' ] ) ) then
2020-09-22 21:41:09 +05:30
myInteractionMatrix = prm % h_sl_sl &
2023-06-04 10:52:25 +05:30
* spread ( ( 1.0_pREAL - prm % f_F &
2020-09-22 21:41:09 +05:30
+ prm % f_F &
2023-12-23 03:07:47 +05:30
* log ( 0.35_pREAL * prm % b_sl * sqrt ( max ( dst % rho_forest ( : , en ) , prm % rho_significant ) ) ) &
2023-06-04 10:52:25 +05:30
/ log ( 0.35_pREAL * prm % b_sl * 1e6_pREAL ) ) ** 2 , 2 , prm % sum_N_sl )
2019-03-17 21:32:08 +05:30
else
2020-09-22 21:41:09 +05:30
myInteractionMatrix = prm % h_sl_sl
2021-11-15 23:05:44 +05:30
end if
2019-03-17 21:32:08 +05:30
2021-11-17 23:40:01 +05:30
dst % tau_pass ( : , en ) = mu * prm % b_sl &
2020-03-16 21:16:16 +05:30
* sqrt ( matmul ( myInteractionMatrix , sum ( abs ( rho ) , 2 ) ) )
2014-06-26 19:23:12 +05:30
2009-08-28 19:20:47 +05:30
!*** calculate the dislocation stress of the neighboring excess dislocation densities
2012-03-12 19:39:37 +05:30
!*** zero for material points of local plasticity
2011-03-29 13:04:33 +05:30
2019-02-20 19:24:26 +05:30
!#################################################################################################
! ToDo: MD: this is most likely only correct for F_i = I
!#################################################################################################
2019-03-16 17:43:48 +05:30
2023-12-29 22:32:52 +05:30
rho_0 = getRho0 ( ph , en )
2021-06-24 22:29:52 +05:30
if ( plasticState ( ph ) % nonlocal . and . prm % shortRangeStressCorrection ) then
2021-04-25 11:36:52 +05:30
invFp = math_inv33 ( phase_mechanical_Fp ( ph ) % data ( 1 : 3 , 1 : 3 , en ) )
invFe = math_inv33 ( phase_mechanical_Fe ( ph ) % data ( 1 : 3 , 1 : 3 , en ) )
2020-02-07 16:14:03 +05:30
2023-12-29 22:32:52 +05:30
rho_edg_delta = rho_0 ( : , mob_edg_pos ) - rho_0 ( : , mob_edg_neg )
rho_scr_delta = rho_0 ( : , mob_scr_pos ) - rho_0 ( : , mob_scr_neg )
2020-02-07 16:14:03 +05:30
2023-12-29 22:32:52 +05:30
FVsize = geom ( ph ) % v_0 ( en ) ** ( 1.0_pREAL / 3.0_pREAL )
2020-02-07 16:14:03 +05:30
2019-03-17 21:32:08 +05:30
!* loop through my neighborhood and get the connection vectors (in lattice frame) and the excess densities
2020-02-07 16:14:03 +05:30
2023-06-04 10:52:25 +05:30
nRealNeighbors = 0.0_pREAL
2023-12-29 22:32:52 +05:30
rho_sum_nbr = 0.0_pREAL
do n = 1 , nCellNeighbors
el_nbr = geom ( ph ) % IPneighborhood ( 1 , n , en )
ip_nbr = geom ( ph ) % IPneighborhood ( 2 , n , en )
if ( el_nbr > 0 . and . ip_nbr > 0 ) then
if ( material_ID_phase ( 1 , ( el_nbr - 1 ) * discretization_nIPs + ip_nbr ) == ph ) then
en_nbr = material_entry_phase ( 1 , ( el_nbr - 1 ) * discretization_nIPs + ip_nbr )
2023-06-04 10:52:25 +05:30
nRealNeighbors = nRealNeighbors + 1.0_pREAL
2023-12-29 22:32:52 +05:30
rho_0_nbr = getRho0 ( ph , en_nbr )
2020-02-07 16:14:03 +05:30
2023-12-29 22:32:52 +05:30
rho_edg_delta_nbr ( : , n ) = rho_0_nbr ( : , mob_edg_pos ) - rho_0_nbr ( : , mob_edg_neg )
rho_scr_delta_nbr ( : , n ) = rho_0_nbr ( : , mob_scr_pos ) - rho_0_nbr ( : , mob_scr_neg )
2020-02-07 16:14:03 +05:30
2023-12-29 22:32:52 +05:30
rho_sum_nbr ( 1 , : , n ) = sum ( abs ( rho_0_nbr ( : , edg ) ) , 2 )
rho_sum_nbr ( 2 , : , n ) = sum ( abs ( rho_0_nbr ( : , scr ) ) , 2 )
2020-02-07 16:14:03 +05:30
2023-12-29 22:32:52 +05:30
connection_latticeConf ( 1 : 3 , n ) = matmul ( invFe , geom ( ph ) % x_0 ( 1 : 3 , en_nbr ) &
- geom ( ph ) % x_0 ( 1 : 3 , en ) )
normal_latticeConf = matmul ( transpose ( invFp ) , geom ( ph ) % n_0 ( 1 : 3 , n , en ) )
2023-06-04 10:52:25 +05:30
if ( math_inner ( normal_latticeConf , connection_latticeConf ( 1 : 3 , n ) ) < 0.0_pREAL ) & ! neighboring connection points in opposite direction to face normal: must be periodic image
2023-12-29 22:32:52 +05:30
connection_latticeConf ( 1 : 3 , n ) = normal_latticeConf * geom ( ph ) % v_0 ( en ) / geom ( ph ) % a_0 ( n , en ) ! instead take the surface normal scaled with the diameter of the cell
2019-03-17 21:32:08 +05:30
else
! local neighbor or different lattice structure or different constitution instance -> use central values instead
2023-06-04 10:52:25 +05:30
connection_latticeConf ( 1 : 3 , n ) = 0.0_pREAL
2023-12-29 22:32:52 +05:30
rho_edg_delta_nbr ( : , n ) = rho_edg_delta
rho_scr_delta_nbr ( : , n ) = rho_scr_delta
2021-11-15 23:05:44 +05:30
end if
2012-01-17 15:56:57 +05:30
else
2019-03-17 21:32:08 +05:30
! free surface -> use central values instead
2023-06-04 10:52:25 +05:30
connection_latticeConf ( 1 : 3 , n ) = 0.0_pREAL
2023-12-29 22:32:52 +05:30
rho_edg_delta_nbr ( : , n ) = rho_edg_delta
rho_scr_delta_nbr ( : , n ) = rho_scr_delta
2021-11-15 23:05:44 +05:30
end if
end do
2020-02-07 16:14:03 +05:30
2023-12-29 22:32:52 +05:30
rho_delta_nbr ( 1 , : , : ) = rho_edg_delta_nbr
rho_delta_nbr ( 2 , : , : ) = rho_scr_delta_nbr
2020-02-07 16:14:03 +05:30
2019-03-17 21:32:08 +05:30
!* loop through the slip systems and calculate the dislocation gradient by
!* 1. interpolation of the excess density in the neighorhood
!* 2. interpolation of the dead dislocation density in the central volume
2020-03-16 13:06:19 +05:30
m ( 1 : 3 , : , 1 ) = prm % slip_direction
m ( 1 : 3 , : , 2 ) = - prm % slip_transverse
2020-02-07 16:14:03 +05:30
2020-03-16 23:36:10 +05:30
do s = 1 , prm % sum_N_sl
2020-02-07 16:14:03 +05:30
2019-02-21 23:48:06 +05:30
! gradient from interpolation of neighboring excess density ...
2019-03-17 21:32:08 +05:30
do c = 1 , 2
do dir = 1 , 3
neighbors ( 1 ) = 2 * dir - 1
neighbors ( 2 ) = 2 * dir
connections ( dir , 1 : 3 ) = connection_latticeConf ( 1 : 3 , neighbors ( 1 ) ) &
- connection_latticeConf ( 1 : 3 , neighbors ( 2 ) )
2023-12-29 22:32:52 +05:30
rhoExcessDifferences ( dir ) = rho_delta_nbr ( c , s , neighbors ( 1 ) ) &
- rho_delta_nbr ( c , s , neighbors ( 2 ) )
2021-11-15 23:05:44 +05:30
end do
2019-03-17 21:32:08 +05:30
invConnections = math_inv33 ( connections )
if ( all ( dEq0 ( invConnections ) ) ) call IO_error ( - 1 , ext_msg = 'back stress calculation: inversion error' )
2020-02-07 16:14:03 +05:30
2019-04-03 11:52:04 +05:30
rhoExcessGradient ( c ) = math_inner ( m ( 1 : 3 , s , c ) , matmul ( invConnections , rhoExcessDifferences ) )
2021-11-15 23:05:44 +05:30
end do
2020-02-07 16:14:03 +05:30
2019-03-17 21:32:08 +05:30
! ... plus gradient from deads ...
rhoExcessGradient ( 1 ) = rhoExcessGradient ( 1 ) + sum ( rho ( s , imm_edg ) ) / FVsize
rhoExcessGradient ( 2 ) = rhoExcessGradient ( 2 ) + sum ( rho ( s , imm_scr ) ) / FVsize
2020-02-07 16:14:03 +05:30
2019-03-17 21:32:08 +05:30
! ... normalized with the total density ...
2023-12-29 22:32:52 +05:30
rho_sum ( 1 ) = ( sum ( abs ( rho ( s , edg ) ) ) + sum ( rho_sum_nbr ( 1 , s , : ) ) ) / ( 1.0_pREAL + nRealNeighbors )
rho_sum ( 2 ) = ( sum ( abs ( rho ( s , scr ) ) ) + sum ( rho_sum_nbr ( 2 , s , : ) ) ) / ( 1.0_pREAL + nRealNeighbors )
2020-02-07 16:14:03 +05:30
2023-06-04 10:52:25 +05:30
rhoExcessGradient_over_rho = 0.0_pREAL
2023-12-29 22:32:52 +05:30
where ( rho_sum > 0.0_pREAL ) rhoExcessGradient_over_rho = rhoExcessGradient / rho_sum
2020-02-07 16:14:03 +05:30
2019-03-17 21:32:08 +05:30
! ... gives the local stress correction when multiplied with a factor
2023-06-04 10:52:25 +05:30
dst % tau_back ( s , en ) = - mu * prm % b_sl ( s ) / ( 2.0_pREAL * PI ) &
* ( rhoExcessGradient_over_rho ( 1 ) / ( 1.0_pREAL - nu ) &
2020-03-16 21:59:47 +05:30
+ rhoExcessGradient_over_rho ( 2 ) )
2021-11-15 23:05:44 +05:30
end do
end if
2011-03-29 13:04:33 +05:30
2019-02-17 16:45:46 +05:30
end associate
2019-02-21 23:48:06 +05:30
2021-01-26 16:47:00 +05:30
end subroutine nonlocal_dependentState
2010-02-17 18:51:36 +05:30
2014-06-26 19:23:12 +05:30
2013-10-09 11:42:16 +05:30
!--------------------------------------------------------------------------------------------------
!> @brief calculates plastic velocity gradient and its tangent
!--------------------------------------------------------------------------------------------------
2021-01-26 12:03:04 +05:30
module subroutine nonlocal_LpAndItsTangent ( Lp , dLp_dMp , &
2021-12-20 02:37:23 +05:30
Mp , ph , en )
2023-06-04 10:52:25 +05:30
real ( pREAL ) , dimension ( 3 , 3 ) , intent ( out ) :: &
2020-03-16 21:59:47 +05:30
Lp !< plastic velocity gradient
2023-06-04 10:52:25 +05:30
real ( pREAL ) , dimension ( 3 , 3 , 3 , 3 ) , intent ( out ) :: &
2020-03-16 21:59:47 +05:30
dLp_dMp
2019-03-17 21:32:08 +05:30
integer , intent ( in ) :: &
2021-01-27 03:11:41 +05:30
ph , &
2021-04-25 11:36:52 +05:30
en
2023-06-04 10:52:25 +05:30
real ( pREAL ) , dimension ( 3 , 3 ) , intent ( in ) :: &
2019-03-17 21:32:08 +05:30
Mp
2020-03-16 21:59:47 +05:30
!< derivative of Lp with respect to Mp
2019-03-17 21:32:08 +05:30
integer :: &
2021-07-22 03:41:16 +05:30
i , j , k , l , &
2019-03-17 21:32:08 +05:30
t , & !< dislocation type
s !< index of my current slip system
2023-06-04 10:52:25 +05:30
real ( pREAL ) , dimension ( param ( ph ) % sum_N_sl , 8 ) :: &
2023-12-29 22:32:52 +05:30
rho_sgl !< single dislocation densities (including blocked)
2023-06-04 10:52:25 +05:30
real ( pREAL ) , dimension ( param ( ph ) % sum_N_sl , 10 ) :: &
2019-03-17 21:32:08 +05:30
rho
2023-06-04 10:52:25 +05:30
real ( pREAL ) , dimension ( param ( ph ) % sum_N_sl , 4 ) :: &
2019-03-17 21:32:08 +05:30
v , & !< velocity
tauNS , & !< resolved shear stress including non Schmid and backstress terms
dv_dtau , & !< velocity derivative with respect to the shear stress
dv_dtauNS !< velocity derivative with respect to the shear stress
2023-06-04 10:52:25 +05:30
real ( pREAL ) , dimension ( param ( ph ) % sum_N_sl ) :: &
2019-03-17 21:32:08 +05:30
tau , & !< resolved shear stress including backstress terms
2021-07-21 20:04:33 +05:30
dot_gamma !< shear rate
2023-06-04 10:52:25 +05:30
real ( pREAL ) :: &
2021-12-20 02:37:23 +05:30
Temperature !< temperature
2020-02-07 16:14:03 +05:30
2021-12-20 02:37:23 +05:30
Temperature = thermal_T ( ph , en )
2023-06-04 10:52:25 +05:30
Lp = 0.0_pREAL
dLp_dMp = 0.0_pREAL
2021-12-20 02:16:10 +05:30
2021-07-27 02:26:40 +05:30
associate ( prm = > param ( ph ) , dst = > dependentState ( ph ) , stt = > state ( ph ) )
2020-02-07 16:14:03 +05:30
2021-12-20 02:16:10 +05:30
!*** shortcut to state variables
rho = getRho ( ph , en )
2023-12-29 22:32:52 +05:30
rho_sgl = rho ( : , sgl )
2020-02-07 16:14:03 +05:30
2021-12-20 02:16:10 +05:30
do s = 1 , prm % sum_N_sl
tau ( s ) = math_tensordot ( Mp , prm % P_sl ( 1 : 3 , 1 : 3 , s ) )
tauNS ( s , 1 ) = tau ( s )
tauNS ( s , 2 ) = tau ( s )
2023-06-04 10:52:25 +05:30
if ( tau ( s ) > 0.0_pREAL ) then
2021-12-20 02:16:10 +05:30
tauNS ( s , 3 ) = math_tensordot ( Mp , + prm % P_nS_pos ( 1 : 3 , 1 : 3 , s ) )
tauNS ( s , 4 ) = math_tensordot ( Mp , - prm % P_nS_neg ( 1 : 3 , 1 : 3 , s ) )
else
tauNS ( s , 3 ) = math_tensordot ( Mp , + prm % P_nS_neg ( 1 : 3 , 1 : 3 , s ) )
tauNS ( s , 4 ) = math_tensordot ( Mp , - prm % P_nS_pos ( 1 : 3 , 1 : 3 , s ) )
end if
end do
tauNS = tauNS + spread ( dst % tau_back ( : , en ) , 2 , 4 )
tau = tau + dst % tau_back ( : , en )
! edges
call kinetics ( v ( : , 1 ) , dv_dtau ( : , 1 ) , dv_dtauNS ( : , 1 ) , &
tau , tauNS ( : , 1 ) , dst % tau_pass ( : , en ) , 1 , Temperature , ph )
v ( : , 2 ) = v ( : , 1 )
dv_dtau ( : , 2 ) = dv_dtau ( : , 1 )
dv_dtauNS ( : , 2 ) = dv_dtauNS ( : , 1 )
!screws
2023-09-15 22:26:27 +05:30
do t = 3 , 4
call kinetics ( v ( : , t ) , dv_dtau ( : , t ) , dv_dtauNS ( : , t ) , &
tau , tauNS ( : , t ) , dst % tau_pass ( : , en ) , 2 , Temperature , ph )
end do
2019-12-01 13:25:24 +05:30
2021-12-20 02:16:10 +05:30
stt % v ( : , en ) = pack ( v , . true . )
2020-02-07 16:14:03 +05:30
2021-12-20 02:16:10 +05:30
!*** Bauschinger effect
2023-12-29 22:32:52 +05:30
forall ( s = 1 : prm % sum_N_sl , t = 5 : 8 , rho_sgl ( s , t ) * v ( s , t - 4 ) < 0.0_pREAL ) &
rho_sgl ( s , t - 4 ) = rho_sgl ( s , t - 4 ) + abs ( rho_sgl ( s , t ) )
2020-02-07 16:14:03 +05:30
2023-12-29 22:32:52 +05:30
dot_gamma = sum ( rho_sgl ( : , 1 : 4 ) * v , 2 ) * prm % b_sl
2020-02-07 16:14:03 +05:30
2021-12-20 02:16:10 +05:30
do s = 1 , prm % sum_N_sl
Lp = Lp + dot_gamma ( s ) * prm % P_sl ( 1 : 3 , 1 : 3 , s )
forall ( i = 1 : 3 , j = 1 : 3 , k = 1 : 3 , l = 1 : 3 ) &
dLp_dMp ( i , j , k , l ) = dLp_dMp ( i , j , k , l ) &
+ prm % P_sl ( i , j , s ) * prm % P_sl ( k , l , s ) &
2023-12-29 22:32:52 +05:30
* sum ( rho_sgl ( s , 1 : 4 ) * dv_dtau ( s , 1 : 4 ) ) * prm % b_sl ( s ) &
2021-12-20 02:16:10 +05:30
+ prm % P_sl ( i , j , s ) &
2023-12-29 22:32:52 +05:30
* ( + prm % P_nS_pos ( k , l , s ) * rho_sgl ( s , 3 ) * dv_dtauNS ( s , 3 ) &
- prm % P_nS_neg ( k , l , s ) * rho_sgl ( s , 4 ) * dv_dtauNS ( s , 4 ) ) * prm % b_sl ( s )
2021-12-20 02:16:10 +05:30
end do
2020-02-07 16:14:03 +05:30
2019-03-17 21:32:08 +05:30
end associate
2020-02-07 16:14:03 +05:30
2021-01-26 12:03:04 +05:30
end subroutine nonlocal_LpAndItsTangent
2014-06-14 02:23:17 +05:30
2014-06-26 19:23:12 +05:30
2014-06-14 02:23:17 +05:30
!--------------------------------------------------------------------------------------------------
!> @brief (instantaneous) incremental change of microstructure
!--------------------------------------------------------------------------------------------------
2021-04-25 11:36:52 +05:30
module subroutine plastic_nonlocal_deltaState ( Mp , ph , en )
2020-02-07 16:14:03 +05:30
2023-06-04 10:52:25 +05:30
real ( pREAL ) , dimension ( 3 , 3 ) , intent ( in ) :: &
2020-03-16 21:59:47 +05:30
Mp !< MandelStress
2019-03-17 21:32:08 +05:30
integer , intent ( in ) :: &
2021-02-14 19:59:10 +05:30
ph , &
2021-04-25 11:36:52 +05:30
en
2014-07-02 17:57:39 +05:30
2019-03-17 21:32:08 +05:30
integer :: &
c , & ! character of dislocation
t , & ! type of dislocation
2020-07-02 00:52:05 +05:30
s ! index of my current slip system
2023-06-04 10:52:25 +05:30
real ( pREAL ) :: &
2021-11-17 23:40:01 +05:30
mu , &
nu
2023-06-04 10:52:25 +05:30
real ( pREAL ) , dimension ( param ( ph ) % sum_N_sl , 10 ) :: &
2019-03-17 21:32:08 +05:30
deltaRhoRemobilization , & ! density increment by remobilization
deltaRhoDipole2SingleStress ! density increment by dipole dissociation (by stress change)
2023-06-04 10:52:25 +05:30
real ( pREAL ) , dimension ( param ( ph ) % sum_N_sl , 10 ) :: &
2019-03-17 21:32:08 +05:30
rho ! current dislocation densities
2023-06-04 10:52:25 +05:30
real ( pREAL ) , dimension ( param ( ph ) % sum_N_sl , 4 ) :: &
2019-03-17 21:32:08 +05:30
v ! dislocation glide velocity
2023-06-04 10:52:25 +05:30
real ( pREAL ) , dimension ( param ( ph ) % sum_N_sl ) :: &
2019-03-17 21:32:08 +05:30
tau ! current resolved shear stress
2023-06-04 10:52:25 +05:30
real ( pREAL ) , dimension ( param ( ph ) % sum_N_sl , 2 ) :: &
2023-12-29 22:32:52 +05:30
rho_dip , & ! current dipole dislocation densities (screw and edge dipoles)
2019-03-17 21:32:08 +05:30
dUpper , & ! current maximum stable dipole distance for edges and screws
dUpperOld , & ! old maximum stable dipole distance for edges and screws
deltaDUpper ! change in maximum stable dipole distance for edges and screws
2021-12-20 02:16:10 +05:30
2023-12-23 03:59:46 +05:30
associate ( prm = > param ( ph ) , dst = > dependentState ( ph ) , del = > deltaState ( ph ) , stt = > state ( ph ) )
2020-02-07 16:14:03 +05:30
2022-11-12 04:33:30 +05:30
mu = elastic_mu ( ph , en , prm % isotropic_bound )
nu = elastic_nu ( ph , en , prm % isotropic_bound )
2021-11-17 23:40:01 +05:30
2020-02-07 16:14:03 +05:30
!*** shortcut to state variables
2023-12-23 03:59:46 +05:30
v = reshape ( stt % v ( : , en ) , [ prm % sum_N_sl , 4 ] )
2023-12-23 04:15:34 +05:30
dUpperOld = reshape ( dst % max_dipole_height ( : , en ) , [ prm % sum_N_sl , 2 ] )
2020-02-07 16:14:03 +05:30
2021-04-25 11:36:52 +05:30
rho = getRho ( ph , en )
2023-12-29 22:32:52 +05:30
rho_dip = rho ( : , dip )
2020-02-07 16:14:03 +05:30
2019-03-17 21:32:08 +05:30
!****************************************************************************
!*** dislocation remobilization (bauschinger effect)
2023-06-04 10:52:25 +05:30
where ( rho ( : , imm ) * v < 0.0_pREAL )
2019-03-17 21:32:08 +05:30
deltaRhoRemobilization ( : , mob ) = abs ( rho ( : , imm ) )
deltaRhoRemobilization ( : , imm ) = - rho ( : , imm )
rho ( : , mob ) = rho ( : , mob ) + abs ( rho ( : , imm ) )
2023-06-04 10:52:25 +05:30
rho ( : , imm ) = 0.0_pREAL
2019-03-17 21:32:08 +05:30
elsewhere
2023-06-04 10:52:25 +05:30
deltaRhoRemobilization ( : , mob ) = 0.0_pREAL
deltaRhoRemobilization ( : , imm ) = 0.0_pREAL
2020-02-07 16:14:03 +05:30
endwhere
2023-06-04 10:52:25 +05:30
deltaRhoRemobilization ( : , dip ) = 0.0_pREAL
2020-02-07 16:14:03 +05:30
2019-03-17 21:32:08 +05:30
!****************************************************************************
!*** calculate dipole formation and dissociation by stress change
2020-02-07 16:14:03 +05:30
2019-03-17 21:32:08 +05:30
!*** calculate limits for stable dipole height
2020-03-16 23:36:10 +05:30
do s = 1 , prm % sum_N_sl
2021-07-22 03:35:49 +05:30
tau ( s ) = math_tensordot ( Mp , prm % P_sl ( 1 : 3 , 1 : 3 , s ) ) + dst % tau_back ( s , en )
2023-06-04 10:52:25 +05:30
if ( abs ( tau ( s ) ) < 1.0e-15_pREAL ) tau ( s ) = 1.0e-15_pREAL
2021-11-15 23:05:44 +05:30
end do
2020-02-07 16:14:03 +05:30
2023-06-04 10:52:25 +05:30
dUpper ( : , 1 ) = mu * prm % b_sl / ( 8.0_pREAL * PI * ( 1.0_pREAL - nu ) * abs ( tau ) )
dUpper ( : , 2 ) = mu * prm % b_sl / ( 4.0_pREAL * PI * abs ( tau ) )
2020-02-07 16:14:03 +05:30
2019-03-17 21:32:08 +05:30
where ( dNeq0 ( sqrt ( sum ( abs ( rho ( : , edg ) ) , 2 ) ) ) ) &
2023-06-04 10:52:25 +05:30
dUpper ( : , 1 ) = min ( 1.0_pREAL / sqrt ( sum ( abs ( rho ( : , edg ) ) , 2 ) ) , dUpper ( : , 1 ) )
2019-03-17 21:32:08 +05:30
where ( dNeq0 ( sqrt ( sum ( abs ( rho ( : , scr ) ) , 2 ) ) ) ) &
2023-06-04 10:52:25 +05:30
dUpper ( : , 2 ) = min ( 1.0_pREAL / sqrt ( sum ( abs ( rho ( : , scr ) ) , 2 ) ) , dUpper ( : , 2 ) )
2020-02-07 16:14:03 +05:30
2019-03-17 21:32:08 +05:30
dUpper = max ( dUpper , prm % minDipoleHeight )
deltaDUpper = dUpper - dUpperOld
2020-02-07 16:14:03 +05:30
2019-03-17 21:32:08 +05:30
!*** dissociation by stress increase
2023-06-04 10:52:25 +05:30
deltaRhoDipole2SingleStress = 0.0_pREAL
forall ( c = 1 : 2 , s = 1 : prm % sum_N_sl , deltaDUpper ( s , c ) < 0.0_pREAL . and . &
2019-03-17 21:32:08 +05:30
dNeq0 ( dUpperOld ( s , c ) - prm % minDipoleHeight ( s , c ) ) ) &
2023-12-29 22:32:52 +05:30
deltaRhoDipole2SingleStress ( s , 8 + c ) = rho_dip ( s , c ) * deltaDUpper ( s , c ) &
2020-03-16 13:06:19 +05:30
/ ( dUpperOld ( s , c ) - prm % minDipoleHeight ( s , c ) )
2020-02-07 16:14:03 +05:30
2023-06-04 10:52:25 +05:30
forall ( t = 1 : 4 ) deltaRhoDipole2SingleStress ( : , t ) = - 0.5_pREAL * deltaRhoDipole2SingleStress ( : , ( t - 1 ) / 2 + 9 )
2023-12-23 04:15:34 +05:30
dst % max_dipole_height ( : , en ) = pack ( dUpper , . true . )
2020-02-07 16:14:03 +05:30
2023-06-04 10:52:25 +05:30
plasticState ( ph ) % deltaState ( : , en ) = 0.0_pREAL
2021-07-22 03:41:16 +05:30
del % rho ( : , en ) = reshape ( deltaRhoRemobilization + deltaRhoDipole2SingleStress , [ 10 * prm % sum_N_sl ] )
2020-02-07 16:14:03 +05:30
2019-03-17 21:32:08 +05:30
end associate
2014-06-14 02:23:17 +05:30
2014-12-08 21:25:30 +05:30
end subroutine plastic_nonlocal_deltaState
2014-06-14 02:23:17 +05:30
2019-02-20 05:11:44 +05:30
2014-06-26 19:23:12 +05:30
!---------------------------------------------------------------------------------------------------
2014-06-14 02:23:17 +05:30
!> @brief calculates the rate of change of microstructure
2014-06-26 19:23:12 +05:30
!---------------------------------------------------------------------------------------------------
2022-02-04 03:27:32 +05:30
module subroutine nonlocal_dotState ( Mp , timestep , &
2022-02-04 12:55:51 +05:30
ph , en )
2020-02-07 16:14:03 +05:30
2023-06-04 10:52:25 +05:30
real ( pREAL ) , dimension ( 3 , 3 ) , intent ( in ) :: &
2019-03-17 21:32:08 +05:30
Mp !< MandelStress
2023-06-04 10:52:25 +05:30
real ( pREAL ) , intent ( in ) :: &
2020-03-16 14:19:59 +05:30
timestep !< substepped crystallite time increment
integer , intent ( in ) :: &
2021-01-27 03:11:41 +05:30
ph , &
2022-02-04 12:55:51 +05:30
en
2020-02-07 16:14:03 +05:30
2019-03-17 21:32:08 +05:30
integer :: &
c , & !< character of dislocation
2020-07-02 00:52:05 +05:30
s !< index of my current slip system
2023-06-04 10:52:25 +05:30
real ( pREAL ) , dimension ( param ( ph ) % sum_N_sl , 10 ) :: &
2019-03-17 21:32:08 +05:30
rho , &
rhoDot , & !< density evolution
rhoDotMultiplication , & !< density evolution by multiplication
rhoDotSingle2DipoleGlide , & !< density evolution by dipole formation (by glide)
rhoDotAthermalAnnihilation , & !< density evolution by athermal annihilation
rhoDotThermalAnnihilation !< density evolution by thermal annihilation
2023-06-04 10:52:25 +05:30
real ( pREAL ) , dimension ( param ( ph ) % sum_N_sl , 8 ) :: &
2023-12-29 22:32:52 +05:30
rho_sgl !< current single dislocation densities (positive/negative screw and edge without dipoles)
2023-06-04 10:52:25 +05:30
real ( pREAL ) , dimension ( param ( ph ) % sum_N_sl , 4 ) :: &
2019-03-17 21:32:08 +05:30
v , & !< current dislocation glide velocity
2021-07-21 20:04:33 +05:30
dot_gamma !< shear rates
2023-06-04 10:52:25 +05:30
real ( pREAL ) , dimension ( param ( ph ) % sum_N_sl ) :: &
2019-03-17 21:32:08 +05:30
tau , & !< current resolved shear stress
2021-06-26 16:23:58 +05:30
v_climb !< climb velocity of edge dipoles
2023-06-04 10:52:25 +05:30
real ( pREAL ) , dimension ( param ( ph ) % sum_N_sl , 2 ) :: &
2023-12-29 22:32:52 +05:30
rho_dip , & !< current dipole dislocation densities (screw and edge dipoles)
2019-03-17 21:32:08 +05:30
dLower , & !< minimum stable dipole distance for edges and screws
dUpper !< current maximum stable dipole distance for edges and screws
2023-06-04 10:52:25 +05:30
real ( pREAL ) :: &
2021-11-17 23:40:01 +05:30
D_SD , &
mu , &
2022-02-04 03:27:32 +05:30
nu , Temperature
2020-02-07 16:14:03 +05:30
2023-06-04 10:52:25 +05:30
if ( timestep < = 0.0_pREAL ) then
plasticState ( ph ) % dotState = 0.0_pREAL
2019-03-17 21:32:08 +05:30
return
2021-11-15 23:05:44 +05:30
end if
2020-02-07 16:14:03 +05:30
2023-12-23 03:59:46 +05:30
associate ( prm = > param ( ph ) , dst = > dependentState ( ph ) , dot = > dotState ( ph ) , &
stt = > state ( ph ) , st0 = > state0 ( ph ) )
2020-02-07 16:14:03 +05:30
2022-11-12 04:33:30 +05:30
mu = elastic_mu ( ph , en , prm % isotropic_bound )
nu = elastic_nu ( ph , en , prm % isotropic_bound )
2022-02-04 03:27:32 +05:30
Temperature = thermal_T ( ph , en )
2021-11-17 23:40:01 +05:30
2023-06-04 10:52:25 +05:30
tau = 0.0_pREAL
dot_gamma = 0.0_pREAL
2020-02-07 16:14:03 +05:30
2023-12-29 22:32:52 +05:30
rho = getRho ( ph , en )
rho_sgl = rho ( : , sgl )
rho_dip = rho ( : , dip )
2020-02-07 16:14:03 +05:30
2023-12-23 03:59:46 +05:30
v = reshape ( stt % v ( : , en ) , [ prm % sum_N_sl , 4 ] )
2023-12-29 22:32:52 +05:30
dot_gamma = rho_sgl ( : , 1 : 4 ) * v * spread ( prm % b_sl , 2 , 4 )
2020-02-07 16:14:03 +05:30
2021-06-24 18:55:43 +05:30
! limits for stable dipole height
2021-07-22 03:41:16 +05:30
do s = 1 , prm % sum_N_sl
2021-07-22 03:35:49 +05:30
tau ( s ) = math_tensordot ( Mp , prm % P_sl ( 1 : 3 , 1 : 3 , s ) ) + dst % tau_back ( s , en )
2023-06-04 10:52:25 +05:30
if ( abs ( tau ( s ) ) < 1.0e-15_pREAL ) tau ( s ) = 1.0e-15_pREAL
2021-11-15 23:05:44 +05:30
end do
2020-02-07 16:14:03 +05:30
2019-03-17 22:29:01 +05:30
dLower = prm % minDipoleHeight
2023-06-04 10:52:25 +05:30
dUpper ( : , 1 ) = mu * prm % b_sl / ( 8.0_pREAL * PI * ( 1.0_pREAL - nu ) * abs ( tau ) )
dUpper ( : , 2 ) = mu * prm % b_sl / ( 4.0_pREAL * PI * abs ( tau ) )
2020-02-07 16:14:03 +05:30
2019-03-17 22:29:01 +05:30
where ( dNeq0 ( sqrt ( sum ( abs ( rho ( : , edg ) ) , 2 ) ) ) ) &
2023-06-04 10:52:25 +05:30
dUpper ( : , 1 ) = min ( 1.0_pREAL / sqrt ( sum ( abs ( rho ( : , edg ) ) , 2 ) ) , dUpper ( : , 1 ) )
2019-03-17 22:29:01 +05:30
where ( dNeq0 ( sqrt ( sum ( abs ( rho ( : , scr ) ) , 2 ) ) ) ) &
2023-06-04 10:52:25 +05:30
dUpper ( : , 2 ) = min ( 1.0_pREAL / sqrt ( sum ( abs ( rho ( : , scr ) ) , 2 ) ) , dUpper ( : , 2 ) )
2019-03-17 22:29:01 +05:30
2019-03-17 21:32:08 +05:30
dUpper = max ( dUpper , dLower )
2020-02-07 16:14:03 +05:30
2021-06-24 18:55:43 +05:30
! dislocation multiplication
2023-06-04 10:52:25 +05:30
rhoDotMultiplication = 0.0_pREAL
2021-06-01 02:32:51 +05:30
isBCC : if ( phase_lattice ( ph ) == 'cI' ) then
2023-06-04 10:52:25 +05:30
forall ( s = 1 : prm % sum_N_sl , sum ( abs ( v ( s , 1 : 4 ) ) ) > 0.0_pREAL )
2021-07-21 20:04:33 +05:30
rhoDotMultiplication ( s , 1 : 2 ) = sum ( abs ( dot_gamma ( s , 3 : 4 ) ) ) / prm % b_sl ( s ) & ! assuming double-cross-slip of screws to be decisive for multiplication
2023-12-23 03:07:47 +05:30
* sqrt ( dst % rho_forest ( s , en ) ) / prm % i_sl ( s ) ! & ! mean free path
2023-06-04 10:52:25 +05:30
! * 2.0_pREAL * sum(abs(v(s,3:4))) / sum(abs(v(s,1:4))) ! ratio of screw to overall velocity determines edge generation
2021-07-21 20:04:33 +05:30
rhoDotMultiplication ( s , 3 : 4 ) = sum ( abs ( dot_gamma ( s , 3 : 4 ) ) ) / prm % b_sl ( s ) & ! assuming double-cross-slip of screws to be decisive for multiplication
2023-12-23 03:07:47 +05:30
* sqrt ( dst % rho_forest ( s , en ) ) / prm % i_sl ( s ) ! & ! mean free path
2023-06-04 10:52:25 +05:30
! * 2.0_pREAL * sum(abs(v(s,1:2))) / sum(abs(v(s,1:4))) ! ratio of edge to overall velocity determines screw generation
2019-03-17 21:32:08 +05:30
endforall
2020-02-07 16:14:03 +05:30
2019-03-17 21:32:08 +05:30
else isBCC
2020-03-16 13:06:19 +05:30
rhoDotMultiplication ( : , 1 : 4 ) = spread ( &
2021-07-21 20:04:33 +05:30
( sum ( abs ( dot_gamma ( : , 1 : 2 ) ) , 2 ) * prm % f_ed_mult + sum ( abs ( dot_gamma ( : , 3 : 4 ) ) , 2 ) ) &
2023-12-23 03:07:47 +05:30
* sqrt ( dst % rho_forest ( : , en ) ) / prm % i_sl / prm % b_sl , 2 , 4 ) ! eq. 3.26
2021-11-15 23:05:44 +05:30
end if isBCC
2020-02-07 16:14:03 +05:30
2019-03-17 21:32:08 +05:30
!****************************************************************************
2021-06-24 18:55:43 +05:30
! dipole formation and annihilation
2020-02-07 16:14:03 +05:30
2021-06-24 18:55:43 +05:30
! formation by glide
2019-03-17 21:32:08 +05:30
do c = 1 , 2
2023-06-04 10:52:25 +05:30
rhoDotSingle2DipoleGlide ( : , 2 * c - 1 ) = - 2.0_pREAL * dUpper ( : , c ) / prm % b_sl &
2023-12-29 22:32:52 +05:30
* ( rho_sgl ( : , 2 * c - 1 ) * abs ( dot_gamma ( : , 2 * c ) ) & ! negative mobile --> positive mobile
+ rho_sgl ( : , 2 * c ) * abs ( dot_gamma ( : , 2 * c - 1 ) ) & ! positive mobile --> negative mobile
+ abs ( rho_sgl ( : , 2 * c + 4 ) ) * abs ( dot_gamma ( : , 2 * c - 1 ) ) ) ! positive mobile --> negative immobile
2020-03-16 13:06:19 +05:30
2023-06-04 10:52:25 +05:30
rhoDotSingle2DipoleGlide ( : , 2 * c ) = - 2.0_pREAL * dUpper ( : , c ) / prm % b_sl &
2023-12-29 22:32:52 +05:30
* ( rho_sgl ( : , 2 * c - 1 ) * abs ( dot_gamma ( : , 2 * c ) ) & ! negative mobile --> positive mobile
+ rho_sgl ( : , 2 * c ) * abs ( dot_gamma ( : , 2 * c - 1 ) ) & ! positive mobile --> negative mobile
+ abs ( rho_sgl ( : , 2 * c + 3 ) ) * abs ( dot_gamma ( : , 2 * c ) ) ) ! negative mobile --> positive immobile
2020-03-16 13:06:19 +05:30
2023-06-04 10:52:25 +05:30
rhoDotSingle2DipoleGlide ( : , 2 * c + 3 ) = - 2.0_pREAL * dUpper ( : , c ) / prm % b_sl &
2023-12-29 22:32:52 +05:30
* rho_sgl ( : , 2 * c + 3 ) * abs ( dot_gamma ( : , 2 * c ) ) ! negative mobile --> positive immobile
2020-03-16 13:06:19 +05:30
2023-06-04 10:52:25 +05:30
rhoDotSingle2DipoleGlide ( : , 2 * c + 4 ) = - 2.0_pREAL * dUpper ( : , c ) / prm % b_sl &
2023-12-29 22:32:52 +05:30
* rho_sgl ( : , 2 * c + 4 ) * abs ( dot_gamma ( : , 2 * c - 1 ) ) ! positive mobile --> negative immobile
2020-03-16 13:06:19 +05:30
rhoDotSingle2DipoleGlide ( : , c + 8 ) = abs ( rhoDotSingle2DipoleGlide ( : , 2 * c + 3 ) ) &
+ abs ( rhoDotSingle2DipoleGlide ( : , 2 * c + 4 ) ) &
- rhoDotSingle2DipoleGlide ( : , 2 * c - 1 ) &
- rhoDotSingle2DipoleGlide ( : , 2 * c )
2021-11-15 23:05:44 +05:30
end do
2020-02-07 16:14:03 +05:30
2021-06-24 18:55:43 +05:30
! athermal annihilation
2023-06-04 10:52:25 +05:30
rhoDotAthermalAnnihilation = 0.0_pREAL
2020-02-07 16:14:03 +05:30
forall ( c = 1 : 2 ) &
2023-06-04 10:52:25 +05:30
rhoDotAthermalAnnihilation ( : , c + 8 ) = - 2.0_pREAL * dLower ( : , c ) / prm % b_sl &
2023-12-29 22:32:52 +05:30
* ( 2.0_pREAL * ( rho_sgl ( : , 2 * c - 1 ) * abs ( dot_gamma ( : , 2 * c ) ) + rho_sgl ( : , 2 * c ) * abs ( dot_gamma ( : , 2 * c - 1 ) ) ) & ! was single hitting single
+ 2.0_pREAL * ( abs ( rho_sgl ( : , 2 * c + 3 ) ) * abs ( dot_gamma ( : , 2 * c ) ) + abs ( rho_sgl ( : , 2 * c + 4 ) ) * abs ( dot_gamma ( : , 2 * c - 1 ) ) ) & ! was single hitting immobile single or was immobile single hit by single
+ rho_dip ( : , c ) * ( abs ( dot_gamma ( : , 2 * c - 1 ) ) + abs ( dot_gamma ( : , 2 * c ) ) ) ) ! single knocks dipole constituent
2020-02-07 16:14:03 +05:30
2020-03-16 14:19:59 +05:30
! annihilated screw dipoles leave edge jogs behind on the colinear system
2021-06-01 02:32:51 +05:30
if ( phase_lattice ( ph ) == 'cF' ) &
2021-07-22 03:41:16 +05:30
forall ( s = 1 : prm % sum_N_sl , prm % colinearSystem ( s ) > 0 ) &
2019-03-17 21:32:08 +05:30
rhoDotAthermalAnnihilation ( prm % colinearSystem ( s ) , 1 : 2 ) = - rhoDotAthermalAnnihilation ( s , 10 ) &
2023-12-23 03:07:47 +05:30
* 0.25_pREAL * sqrt ( dst % rho_forest ( s , en ) ) * ( dUpper ( s , 2 ) + dLower ( s , 2 ) ) * prm % f_ed
2020-02-07 16:14:03 +05:30
2021-06-24 18:55:43 +05:30
! thermally activated annihilation of edge dipoles by climb
2023-06-04 10:52:25 +05:30
rhoDotThermalAnnihilation = 0.0_pREAL
2021-11-25 16:22:52 +05:30
D_SD = prm % D_0 * exp ( - prm % Q_cl / ( K_B * Temperature ) ) ! eq. 3.53
2021-11-17 23:40:01 +05:30
v_climb = D_SD * mu * prm % V_at &
2023-06-04 10:52:25 +05:30
/ ( PI * ( 1.0_pREAL - nu ) * ( dUpper ( : , 1 ) + dLower ( : , 1 ) ) * K_B * Temperature ) ! eq. 3.54
2021-07-22 03:41:16 +05:30
forall ( s = 1 : prm % sum_N_sl , dUpper ( s , 1 ) > dLower ( s , 1 ) ) &
2023-12-29 22:32:52 +05:30
rhoDotThermalAnnihilation ( s , 9 ) = max ( - 4.0_pREAL * rho_dip ( s , 1 ) * v_climb ( s ) / ( dUpper ( s , 1 ) - dLower ( s , 1 ) ) , &
- rho_dip ( s , 1 ) / timestep - rhoDotAthermalAnnihilation ( s , 9 ) &
2020-09-22 21:41:09 +05:30
- rhoDotSingle2DipoleGlide ( s , 9 ) ) ! make sure that we do not annihilate more dipoles than we have
2019-03-17 21:32:08 +05:30
2022-02-04 12:03:12 +05:30
rhoDot = rhoDotFlux ( timestep , ph , en ) &
2019-03-17 21:32:08 +05:30
+ rhoDotMultiplication &
+ rhoDotSingle2DipoleGlide &
+ rhoDotAthermalAnnihilation &
2020-02-07 16:14:03 +05:30
+ rhoDotThermalAnnihilation
2012-08-16 16:33:22 +05:30
2012-08-23 11:18:21 +05:30
2020-03-16 13:06:19 +05:30
if ( any ( rho ( : , mob ) + rhoDot ( : , 1 : 4 ) * timestep < - prm % atol_rho ) &
. or . any ( rho ( : , dip ) + rhoDot ( : , 9 : 10 ) * timestep < - prm % atol_rho ) ) then
2023-06-04 10:52:25 +05:30
plasticState ( ph ) % dotState = IEEE_value ( 1.0_pREAL , IEEE_quiet_NaN )
2019-03-17 21:32:08 +05:30
else
2021-04-25 11:36:52 +05:30
dot % rho ( : , en ) = pack ( rhoDot , . true . )
2021-07-21 20:04:33 +05:30
dot % gamma ( : , en ) = sum ( dot_gamma , 2 )
2021-11-15 23:05:44 +05:30
end if
2014-07-02 17:57:39 +05:30
2019-03-17 21:32:08 +05:30
end associate
2014-06-14 02:23:17 +05:30
2021-01-26 16:47:00 +05:30
end subroutine nonlocal_dotState
2019-03-17 21:32:08 +05:30
2020-03-16 19:52:44 +05:30
2020-05-03 14:19:36 +05:30
!---------------------------------------------------------------------------------------------------
!> @brief calculates the rate of change of microstructure
!---------------------------------------------------------------------------------------------------
2021-08-11 03:17:13 +05:30
#if __INTEL_COMPILER >= 2020
2022-02-04 12:03:12 +05:30
non_recursive function rhoDotFlux ( timestep , ph , en )
2021-08-11 03:17:13 +05:30
#else
2022-02-04 12:03:12 +05:30
function rhoDotFlux ( timestep , ph , en )
2021-08-11 03:17:13 +05:30
#endif
2023-06-04 10:52:25 +05:30
real ( pREAL ) , intent ( in ) :: &
2020-05-03 14:19:36 +05:30
timestep !< substepped crystallite time increment
integer , intent ( in ) :: &
2021-02-14 19:59:10 +05:30
ph , &
2022-02-04 12:03:12 +05:30
en
2020-07-03 20:15:11 +05:30
2020-05-03 14:19:36 +05:30
integer :: &
ns , & !< short notation for the total number of active slip systems
c , & !< character of dislocation
n , & !< index of my current neighbor
2023-12-29 22:32:52 +05:30
el_nbr , & !< element number of my neighbor
ip_nbr , & !< integration point of my neighbor
n_nbr , & !< neighbor index pointing to en when looking from my neighbor
2020-05-03 14:19:36 +05:30
opposite_neighbor , & !< index of my opposite neighbor
opposite_ip , & !< ip of my opposite neighbor
opposite_el , & !< element index of my opposite neighbor
2021-04-25 11:36:52 +05:30
opposite_n , & !< neighbor index pointing to en when looking from my opposite neighbor
2020-05-03 14:19:36 +05:30
t , & !< type of dislocation
2023-12-29 22:32:52 +05:30
en_nbr , & !< neighbor phase entry
ph_nbr , & !< neighbor phase ID
2020-05-03 14:19:36 +05:30
topp , & !< type of dislocation with opposite sign to t
s !< index of my current slip system
2023-06-04 10:52:25 +05:30
real ( pREAL ) , dimension ( param ( ph ) % sum_N_sl , 10 ) :: &
2020-05-03 14:19:36 +05:30
rho , &
2023-12-29 22:32:52 +05:30
rho_0 , & !< dislocation density at beginning of time step
2020-05-03 14:24:57 +05:30
rhoDotFlux !< density evolution by flux
2023-06-04 10:52:25 +05:30
real ( pREAL ) , dimension ( param ( ph ) % sum_N_sl , 4 ) :: &
2023-12-30 03:00:04 +05:30
rho_0_sgl_mob , & !< mobile dislocation densities of neighboring ip (positive/negative screw and edge)
rho_0_sgl_mob_nbr , & !< mobile dislocation densities of neighboring ip (positive/negative screw and edge)
v , & !< dislocation glide velocity
2023-12-29 22:32:52 +05:30
v_0 , &
v_0_nbr , & !< dislocation glide velocity of enighboring ip
dot_gamma !< shear rates
2023-06-04 10:52:25 +05:30
real ( pREAL ) , dimension ( 3 , param ( ph ) % sum_N_sl , 4 ) :: &
2020-05-03 14:19:36 +05:30
m !< direction of dislocation motion
2023-06-04 10:52:25 +05:30
real ( pREAL ) , dimension ( 3 , 3 ) :: &
2020-05-03 14:19:36 +05:30
my_F , & !< my total deformation gradient
2023-12-29 22:32:52 +05:30
F_nbr , & !< total deformation gradient of my neighbor
2020-05-03 14:19:36 +05:30
my_Fe , & !< my elastic deformation gradient
2023-12-29 22:32:52 +05:30
F_e_nbr , & !< elastic deformation gradient of my neighbor
2021-04-25 11:36:52 +05:30
Favg !< average total deformation gradient of en and my neighbor
2023-06-04 10:52:25 +05:30
real ( pREAL ) , dimension ( 3 ) :: &
2021-04-25 11:36:52 +05:30
normal_neighbor2me , & !< interface normal pointing from my neighbor to en in neighbor's lattice configuration
normal_neighbor2me_defConf , & !< interface normal pointing from my neighbor to en in shared deformed configuration
normal_me2neighbor , & !< interface normal pointing from en to my neighbor in my lattice configuration
normal_me2neighbor_defConf !< interface normal pointing from en to my neighbor in shared deformed configuration
2023-06-04 10:52:25 +05:30
real ( pREAL ) :: &
2023-12-29 22:32:52 +05:30
a , & !< area of the current interface
2020-05-03 14:19:36 +05:30
transmissivity , & !< overall transmissivity of dislocation flux to neighboring material point
2020-05-03 14:24:57 +05:30
lineLength !< dislocation line length leaving the current interface
2020-05-03 14:19:36 +05:30
2021-02-14 23:00:57 +05:30
associate ( prm = > param ( ph ) , &
2021-07-27 02:26:40 +05:30
dst = > dependentState ( ph ) , &
2023-12-23 03:59:46 +05:30
stt = > state ( ph ) , &
st0 = > state0 ( ph ) )
2023-12-29 22:32:52 +05:30
2020-05-03 14:19:36 +05:30
ns = prm % sum_N_sl
2023-06-04 10:52:25 +05:30
dot_gamma = 0.0_pREAL
2020-05-03 14:19:36 +05:30
2023-12-29 22:32:52 +05:30
rho = getRho ( ph , en )
rho_0 = getRho0 ( ph , en )
2023-12-30 03:00:04 +05:30
rho_0_sgl_mob = rho_0 ( : , mob )
2020-05-03 14:19:36 +05:30
2023-12-23 03:59:46 +05:30
v = reshape ( stt % v ( : , en ) , [ prm % sum_N_sl , 4 ] ) !ToDo: MD: I think we should use state0 here
2023-12-29 22:32:52 +05:30
dot_gamma = rho ( : , mob ) * v * spread ( prm % b_sl , 2 , 4 )
2020-05-03 14:19:36 +05:30
2023-12-29 22:32:52 +05:30
v_0 = reshape ( st0 % v ( : , en ) , [ prm % sum_N_sl , 4 ] )
2020-05-03 14:19:36 +05:30
!****************************************************************************
!*** calculate dislocation fluxes (only for nonlocal plasticity)
2023-06-04 10:52:25 +05:30
rhoDotFlux = 0.0_pREAL
2021-06-24 22:29:52 +05:30
if ( plasticState ( ph ) % nonlocal ) then
2020-05-03 14:19:36 +05:30
!*** check CFL (Courant-Friedrichs-Lewy) condition for flux
2023-06-04 10:52:25 +05:30
if ( any ( abs ( dot_gamma ) > 0.0_pREAL & ! any active slip system ...
2023-12-29 22:32:52 +05:30
. and . prm % C_CFL * abs ( v_0 ) * timestep &
> geom ( ph ) % v_0 ( en ) / maxval ( geom ( ph ) % a_0 ( : , en ) ) ) ) then ! ...with velocity above critical value (we use the reference volume and area for simplicity here)
2023-06-04 10:52:25 +05:30
rhoDotFlux = IEEE_value ( 1.0_pREAL , IEEE_quiet_NaN ) ! enforce cutback
2020-05-03 14:19:36 +05:30
return
2021-11-15 23:05:44 +05:30
end if
2020-05-03 14:19:36 +05:30
!*** be aware of the definition of slip_transverse = slip_direction x slip_normal !!!
!*** opposite sign to our t vector in the (s,t,n) triplet !!!
m ( 1 : 3 , : , 1 ) = prm % slip_direction
m ( 1 : 3 , : , 2 ) = - prm % slip_direction
m ( 1 : 3 , : , 3 ) = - prm % slip_transverse
m ( 1 : 3 , : , 4 ) = prm % slip_transverse
2021-04-25 11:36:52 +05:30
my_F = phase_mechanical_F ( ph ) % data ( 1 : 3 , 1 : 3 , en )
my_Fe = matmul ( my_F , math_inv33 ( phase_mechanical_Fp ( ph ) % data ( 1 : 3 , 1 : 3 , en ) ) )
2020-05-03 14:19:36 +05:30
2023-12-29 22:32:52 +05:30
neighbors : do n = 1 , nCellNeighbors
2020-05-03 14:19:36 +05:30
2023-12-29 22:32:52 +05:30
el_nbr = geom ( ph ) % IPneighborhood ( 1 , n , en )
ip_nbr = geom ( ph ) % IPneighborhood ( 2 , n , en )
n_nbr = geom ( ph ) % IPneighborhood ( 3 , n , en )
ph_nbr = material_ID_phase ( 1 , ( el_nbr - 1 ) * discretization_nIPs + ip_nbr )
en_nbr = material_entry_phase ( 1 , ( el_nbr - 1 ) * discretization_nIPs + ip_nbr )
2020-05-03 14:19:36 +05:30
opposite_neighbor = n + mod ( n , 2 ) - mod ( n + 1 , 2 )
2022-02-04 12:03:12 +05:30
opposite_el = geom ( ph ) % IPneighborhood ( 1 , opposite_neighbor , en )
opposite_ip = geom ( ph ) % IPneighborhood ( 2 , opposite_neighbor , en )
opposite_n = geom ( ph ) % IPneighborhood ( 3 , opposite_neighbor , en )
2020-05-03 14:19:36 +05:30
2023-12-29 22:32:52 +05:30
if ( n_nbr > 0 ) then ! if neighbor exists, average deformation gradient
F_nbr = phase_mechanical_F ( ph_nbr ) % data ( 1 : 3 , 1 : 3 , en_nbr )
F_e_nbr = matmul ( F_nbr , math_inv33 ( phase_mechanical_Fp ( ph_nbr ) % data ( 1 : 3 , 1 : 3 , en_nbr ) ) )
Favg = 0.5_pREAL * ( my_F + F_nbr )
2020-05-03 14:19:36 +05:30
else ! if no neighbor, take my value as average
Favg = my_F
2021-11-15 23:05:44 +05:30
end if
2020-05-03 14:19:36 +05:30
2023-12-29 22:32:52 +05:30
v_0_nbr = 0.0_pREAL ! needed for check of sign change in flux density below
2020-05-03 14:19:36 +05:30
!* FLUX FROM MY NEIGHBOR TO ME
!* This is only considered, if I have a neighbor of nonlocal plasticity
!* (also nonlocal constitutive law with local properties) that is at least a little bit
!* compatible.
!* If it's not at all compatible, no flux is arriving, because everything is dammed in front of
!* my neighbor's interface.
!* The entering flux from my neighbor will be distributed on my slip systems according to the
!* compatibility
2023-12-29 22:32:52 +05:30
if ( n_nbr > 0 ) then
if ( mechanical_plasticity_type ( ph_nbr ) == MECHANICAL_PLASTICITY_NONLOCAL . and . &
2023-06-04 10:52:25 +05:30
any ( dependentState ( ph ) % compatibility ( : , : , : , n , en ) > 0.0_pREAL ) ) then
2020-05-03 14:19:36 +05:30
2023-12-30 03:03:42 +05:30
! ToDo MD: Not sure if ns is correct here, but I think that compatibility is 0 if different phase
v_0_nbr = reshape ( state0 ( ph_nbr ) % v ( : , en_nbr ) , [ ns , 4 ] )
rho_0_sgl_mob_nbr = max ( reshape ( state0 ( ph_nbr ) % rho_sgl_mob ( : , en_nbr ) , [ ns , 4 ] ) , 0.0_pREAL )
2020-05-03 14:19:36 +05:30
2023-12-30 03:11:51 +05:30
where ( rho_0_sgl_mob_nbr * geom ( ph_nbr ) % v_0 ( en_nbr ) ** 0.667_pREAL < prm % rho_min &
2023-12-30 03:00:04 +05:30
. or . rho_0_sgl_mob_nbr < prm % rho_significant ) &
rho_0_sgl_mob_nbr = 0.0_pREAL
2020-05-03 14:19:36 +05:30
normal_neighbor2me_defConf = math_det33 ( Favg ) * matmul ( math_inv33 ( transpose ( Favg ) ) , &
2023-12-30 03:11:51 +05:30
geom ( ph_nbr ) % n_0 ( 1 : 3 , n_nbr , en_nbr ) ) ! normal of the interface in (average) deformed configuration (pointing neighbor => en)
2023-12-29 22:32:52 +05:30
normal_neighbor2me = matmul ( transpose ( F_e_nbr ) , normal_neighbor2me_defConf ) &
/ math_det33 ( F_e_nbr ) ! interface normal in the lattice configuration of my neighbor
2023-12-30 03:11:51 +05:30
a = geom ( ph_nbr ) % a_0 ( n_nbr , en_nbr ) * norm2 ( normal_neighbor2me )
2020-05-03 14:19:36 +05:30
normal_neighbor2me = normal_neighbor2me / norm2 ( normal_neighbor2me ) ! normalize the surface normal to unit length
do s = 1 , ns
do t = 1 , 4
c = ( t + 1 ) / 2
topp = t + mod ( t , 2 ) - mod ( t + 1 , 2 )
2023-12-29 22:32:52 +05:30
if ( v_0_nbr ( s , t ) * math_inner ( m ( 1 : 3 , s , t ) , normal_neighbor2me ) > 0.0_pREAL & ! flux from my neighbor to en == entering flux for en
. and . v_0 ( s , t ) * v_0_nbr ( s , t ) > = 0.0_pREAL ) then ! ... only if no sign change in flux density
2023-12-30 03:00:04 +05:30
lineLength = rho_0_sgl_mob_nbr ( s , t ) * v_0_nbr ( s , t ) &
2023-12-29 22:32:52 +05:30
* math_inner ( m ( 1 : 3 , s , t ) , normal_neighbor2me ) * a ! positive line length that wants to enter through this interface
2023-06-04 10:52:25 +05:30
where ( dependentState ( ph ) % compatibility ( c , : , s , n , en ) > 0.0_pREAL ) &
2020-05-03 14:19:36 +05:30
rhoDotFlux ( : , t ) = rhoDotFlux ( 1 : ns , t ) &
2023-12-29 22:32:52 +05:30
+ lineLength / geom ( ph ) % v_0 ( en ) * dependentState ( ph ) % compatibility ( c , : , s , n , en ) ** 2 ! transferring to equally signed mobile dislocation type
2023-06-04 10:52:25 +05:30
where ( dependentState ( ph ) % compatibility ( c , : , s , n , en ) < 0.0_pREAL ) &
2020-05-03 14:19:36 +05:30
rhoDotFlux ( : , topp ) = rhoDotFlux ( : , topp ) &
2023-12-29 22:32:52 +05:30
+ lineLength / geom ( ph ) % v_0 ( en ) * dependentState ( ph ) % compatibility ( c , : , s , n , en ) ** 2 ! transferring to opposite signed mobile dislocation type
2020-05-03 14:19:36 +05:30
2021-11-15 23:05:44 +05:30
end if
end do
end do
end if ; end if
2020-05-03 14:19:36 +05:30
!* FLUX FROM ME TO MY NEIGHBOR
!* This is not considered, if my opposite neighbor has a different constitutive law than nonlocal (still considered for nonlocal law with local properties).
2021-04-25 11:36:52 +05:30
!* Then, we assume, that the opposite(!) neighbor sends an equal amount of dislocations to en.
2020-05-03 14:19:36 +05:30
!* So the net flux in the direction of my neighbor is equal to zero:
!* leaving flux to neighbor == entering flux from opposite neighbor
!* In case of reduced transmissivity, part of the leaving flux is stored as dead dislocation density.
!* That means for an interface of zero transmissivity the leaving flux is fully converted to dead dislocations.
if ( opposite_n > 0 ) then
2023-12-29 22:32:52 +05:30
if ( mechanical_plasticity_type ( ph_nbr ) == MECHANICAL_PLASTICITY_NONLOCAL ) then
2020-05-03 14:19:36 +05:30
normal_me2neighbor_defConf = math_det33 ( Favg ) &
2023-12-29 22:32:52 +05:30
* matmul ( math_inv33 ( transpose ( Favg ) ) , geom ( ph ) % n_0 ( 1 : 3 , n , en ) ) ! normal of the interface in (average) deformed configuration (pointing en => neighbor)
2020-05-03 14:19:36 +05:30
normal_me2neighbor = matmul ( transpose ( my_Fe ) , normal_me2neighbor_defConf ) &
/ math_det33 ( my_Fe ) ! interface normal in my lattice configuration
2023-12-29 22:32:52 +05:30
a = geom ( ph ) % a_0 ( n , en ) * norm2 ( normal_me2neighbor )
2020-05-03 14:19:36 +05:30
normal_me2neighbor = normal_me2neighbor / norm2 ( normal_me2neighbor ) ! normalize the surface normal to unit length
do s = 1 , ns
do t = 1 , 4
c = ( t + 1 ) / 2
2023-12-29 22:32:52 +05:30
if ( v_0 ( s , t ) * math_inner ( m ( 1 : 3 , s , t ) , normal_me2neighbor ) > 0.0_pREAL ) then ! flux from en to my neighbor == leaving flux for en (might also be a pure flux from my mobile density to dead density if interface not at all transmissive)
if ( v_0 ( s , t ) * v_0_nbr ( s , t ) > = 0.0_pREAL ) then ! no sign change in flux density
2022-02-04 04:41:08 +05:30
transmissivity = sum ( dependentState ( ph ) % compatibility ( c , : , s , n , en ) ** 2 ) ! overall transmissivity from this slip system to my neighbor
2020-05-03 14:19:36 +05:30
else ! sign change in flux density means sign change in stress which does not allow for dislocations to arive at the neighbor
2023-06-04 10:52:25 +05:30
transmissivity = 0.0_pREAL
2021-11-15 23:05:44 +05:30
end if
2023-12-30 03:00:04 +05:30
lineLength = rho_0_sgl_mob ( s , t ) * v_0 ( s , t ) &
2023-12-29 22:32:52 +05:30
* math_inner ( m ( 1 : 3 , s , t ) , normal_me2neighbor ) * a ! positive line length of mobiles that wants to leave through this interface
rhoDotFlux ( s , t ) = rhoDotFlux ( s , t ) - lineLength / geom ( ph ) % v_0 ( en ) ! subtract dislocation flux from current type
2020-05-03 14:19:36 +05:30
rhoDotFlux ( s , t + 4 ) = rhoDotFlux ( s , t + 4 ) &
2023-12-29 22:32:52 +05:30
+ lineLength / geom ( ph ) % v_0 ( en ) * ( 1.0_pREAL - transmissivity ) &
* sign ( 1.0_pREAL , v_0 ( s , t ) ) ! dislocation flux that is not able to leave through interface (because of low transmissivity) will remain as immobile single density at the material point
2021-11-15 23:05:44 +05:30
end if
end do
end do
end if ; end if
2020-05-03 14:19:36 +05:30
2021-11-15 23:05:44 +05:30
end do neighbors
end if
2020-05-03 14:19:36 +05:30
end associate
2020-05-03 16:39:49 +05:30
end function rhoDotFlux
2020-05-03 14:19:36 +05:30
2019-03-17 21:32:08 +05:30
!--------------------------------------------------------------------------------------------------
2019-03-17 22:29:01 +05:30
!> @brief Compatibility update
2020-02-07 16:14:03 +05:30
!> @detail Compatibility is defined as normalized product of signed cosine of the angle between the slip
2019-03-17 21:32:08 +05:30
! plane normals and signed cosine of the angle between the slip directions. Only the largest values
! that sum up to a total of 1 are considered, all others are set to zero.
!--------------------------------------------------------------------------------------------------
2023-12-28 23:45:26 +05:30
module subroutine plastic_nonlocal_updateCompatibility ( orientation , ce )
2020-02-07 16:14:03 +05:30
2021-05-22 22:12:18 +05:30
type ( tRotationContainer ) , dimension ( : ) , intent ( in ) :: &
2020-03-16 14:19:59 +05:30
orientation ! crystal orientation
2019-03-17 21:32:08 +05:30
integer , intent ( in ) :: &
2023-12-28 23:45:26 +05:30
ce
2020-02-07 16:14:03 +05:30
2019-03-17 21:32:08 +05:30
integer :: &
2020-02-07 16:14:03 +05:30
n , & ! neighbor index
2023-12-28 23:45:26 +05:30
ph , &
2021-04-25 11:36:52 +05:30
en , &
2023-12-28 23:45:26 +05:30
ip , &
el , &
2023-12-29 22:32:52 +05:30
el_nbr , & ! element index of my neighbor
ip_nbr , & ! integration point index of my neighbor
en_nbr , &
ph_nbr , &
2019-03-17 21:32:08 +05:30
ns , & ! number of active slip systems
2021-04-25 11:36:52 +05:30
s1 , & ! slip system index (en)
2019-03-17 21:32:08 +05:30
s2 ! slip system index (my neighbor)
2023-12-29 22:32:52 +05:30
real ( pREAL ) , dimension ( 2 , param ( material_ID_phase ( 1 , ce ) ) % sum_N_sl , param ( material_ID_phase ( 1 , ce ) ) % sum_N_sl , nCellNeighbors ) :: &
2020-02-07 16:14:03 +05:30
my_compatibility ! my_compatibility for current element and ip
2023-06-04 10:52:25 +05:30
real ( pREAL ) :: &
2019-03-17 21:32:08 +05:30
my_compatibilitySum , &
thresholdValue , &
nThresholdValues
2023-12-28 23:45:26 +05:30
logical , dimension ( param ( material_ID_phase ( 1 , ce ) ) % sum_N_sl ) :: &
2019-03-17 21:32:08 +05:30
belowThreshold
2022-01-29 20:00:59 +05:30
type ( tRotation ) :: mis
2019-03-17 21:32:08 +05:30
2021-12-20 02:16:10 +05:30
2023-12-28 23:45:26 +05:30
ph = material_ID_phase ( 1 , ce )
el = ( ce - 1 ) / discretization_nIPs + 1
ip = modulo ( ce - 1 , discretization_nIPs ) + 1
2021-02-14 23:00:57 +05:30
associate ( prm = > param ( ph ) )
2021-12-20 02:16:10 +05:30
ns = prm % sum_N_sl
2020-02-07 16:14:03 +05:30
2023-01-23 13:01:59 +05:30
en = material_entry_phase ( 1 , ( el - 1 ) * discretization_nIPs + ip )
2021-12-20 02:16:10 +05:30
!*** start out fully compatible
2023-06-04 10:52:25 +05:30
my_compatibility = 0.0_pREAL
forall ( s1 = 1 : ns ) my_compatibility ( : , s1 , s1 , : ) = 1.0_pREAL
2020-03-16 14:12:58 +05:30
2023-12-29 22:32:52 +05:30
neighbors : do n = 1 , nCellNeighbors
el_nbr = IPneighborhood ( 1 , n , ip , el )
ip_nbr = IPneighborhood ( 2 , n , ip , el )
en_nbr = material_entry_phase ( 1 , ( el_nbr - 1 ) * discretization_nIPs + ip_nbr )
ph_nbr = material_ID_phase ( 1 , ( el_nbr - 1 ) * discretization_nIPs + ip_nbr )
2021-12-20 02:16:10 +05:30
2023-12-29 22:32:52 +05:30
if ( el_nbr < = 0 . or . ip_nbr < = 0 ) then
2021-12-20 02:16:10 +05:30
!* FREE SURFACE
forall ( s1 = 1 : ns ) my_compatibility ( : , s1 , s1 , n ) = sqrt ( prm % chi_surface )
2023-12-29 22:32:52 +05:30
elseif ( ph_nbr / = ph ) then
2021-12-20 02:16:10 +05:30
!* PHASE BOUNDARY
2023-12-29 22:32:52 +05:30
if ( plasticState ( ph_nbr ) % nonlocal . and . plasticState ( ph ) % nonlocal ) &
2023-06-04 10:52:25 +05:30
forall ( s1 = 1 : ns ) my_compatibility ( : , s1 , s1 , n ) = 0.0_pREAL
elseif ( prm % chi_GB > = 0.0_pREAL ) then
2021-12-20 02:16:10 +05:30
!* GRAIN BOUNDARY
if ( any ( dNeq ( phase_O_0 ( ph ) % data ( en ) % asQuaternion ( ) , &
2023-12-29 22:32:52 +05:30
phase_O_0 ( ph_nbr ) % data ( en_nbr ) % asQuaternion ( ) ) ) . and . &
plasticState ( ph_nbr ) % nonlocal ) &
2021-12-20 02:16:10 +05:30
forall ( s1 = 1 : ns ) my_compatibility ( : , s1 , s1 , n ) = sqrt ( prm % chi_GB )
else
!* GRAIN BOUNDARY ?
!* Compatibility defined by relative orientation of slip systems:
!* The my_compatibility value is defined as the product of the slip normal projection and the slip direction projection.
!* Its sign is always positive for screws, for edges it has the same sign as the slip normal projection.
!* Since the sum for each slip system can easily exceed one (which would result in a transmissivity larger than one),
!* only values above or equal to a certain threshold value are considered. This threshold value is chosen, such that
!* the number of compatible slip systems is minimized with the sum of the original compatibility values exceeding one.
!* Finally the smallest compatibility value is decreased until the sum is exactly equal to one.
!* All values below the threshold are set to zero.
2023-12-29 22:32:52 +05:30
mis = orientation ( ph ) % data ( en ) % misorientation ( orientation ( ph_nbr ) % data ( en_nbr ) )
2021-12-20 02:16:10 +05:30
mySlipSystems : do s1 = 1 , ns
neighborSlipSystems : do s2 = 1 , ns
my_compatibility ( 1 , s2 , s1 , n ) = math_inner ( prm % slip_normal ( 1 : 3 , s1 ) , &
mis % rotate ( prm % slip_normal ( 1 : 3 , s2 ) ) ) &
* abs ( math_inner ( prm % slip_direction ( 1 : 3 , s1 ) , &
mis % rotate ( prm % slip_direction ( 1 : 3 , s2 ) ) ) )
my_compatibility ( 2 , s2 , s1 , n ) = abs ( math_inner ( prm % slip_normal ( 1 : 3 , s1 ) , &
mis % rotate ( prm % slip_normal ( 1 : 3 , s2 ) ) ) ) &
* abs ( math_inner ( prm % slip_direction ( 1 : 3 , s1 ) , &
mis % rotate ( prm % slip_direction ( 1 : 3 , s2 ) ) ) )
end do neighborSlipSystems
2023-06-04 10:52:25 +05:30
my_compatibilitySum = 0.0_pREAL
2021-12-20 02:16:10 +05:30
belowThreshold = . true .
2023-06-04 10:52:25 +05:30
do while ( my_compatibilitySum < 1.0_pREAL . and . any ( belowThreshold ) )
2021-12-20 02:16:10 +05:30
thresholdValue = maxval ( my_compatibility ( 2 , : , s1 , n ) , belowThreshold ) ! screws always positive
2023-06-04 10:52:25 +05:30
nThresholdValues = real ( count ( my_compatibility ( 2 , : , s1 , n ) > = thresholdValue ) , pREAL )
2021-12-20 02:16:10 +05:30
where ( my_compatibility ( 2 , : , s1 , n ) > = thresholdValue ) belowThreshold = . false .
2023-06-04 10:52:25 +05:30
if ( my_compatibilitySum + thresholdValue * nThresholdValues > 1.0_pREAL ) &
2021-12-20 02:16:10 +05:30
where ( abs ( my_compatibility ( : , : , s1 , n ) ) > = thresholdValue ) &
2023-06-04 10:52:25 +05:30
my_compatibility ( : , : , s1 , n ) = sign ( ( 1.0_pREAL - my_compatibilitySum ) / nThresholdValues , &
2021-12-20 02:16:10 +05:30
my_compatibility ( : , : , s1 , n ) )
my_compatibilitySum = my_compatibilitySum + nThresholdValues * thresholdValue
end do
2020-03-16 14:12:58 +05:30
2023-06-04 10:52:25 +05:30
where ( belowThreshold ) my_compatibility ( 1 , : , s1 , n ) = 0.0_pREAL
where ( belowThreshold ) my_compatibility ( 2 , : , s1 , n ) = 0.0_pREAL
2020-02-07 16:14:03 +05:30
2021-12-20 02:16:10 +05:30
end do mySlipSystems
end if
end do neighbors
2020-02-07 16:14:03 +05:30
2023-01-23 13:01:59 +05:30
dependentState ( ph ) % compatibility ( : , : , : , : , material_entry_phase ( 1 , ( el - 1 ) * discretization_nIPs + ip ) ) = my_compatibility
2020-02-07 16:14:03 +05:30
2019-03-17 21:32:08 +05:30
end associate
2020-02-07 16:14:03 +05:30
2014-12-08 21:25:30 +05:30
end subroutine plastic_nonlocal_updateCompatibility
2014-06-14 02:23:17 +05:30
2020-02-07 16:14:03 +05:30
2019-03-10 01:13:31 +05:30
!--------------------------------------------------------------------------------------------------
2021-07-27 00:08:43 +05:30
!> @brief Write results to HDF5 output file.
2019-03-10 01:13:31 +05:30
!--------------------------------------------------------------------------------------------------
2023-01-19 22:07:45 +05:30
module subroutine plastic_nonlocal_result ( ph , group )
2019-03-10 01:13:31 +05:30
2021-02-14 19:59:10 +05:30
integer , intent ( in ) :: ph
2019-12-05 01:20:46 +05:30
character ( len = * ) , intent ( in ) :: group
2020-02-14 13:56:26 +05:30
2021-07-27 00:08:43 +05:30
integer :: ou
2019-03-10 01:13:31 +05:30
2021-07-27 02:26:40 +05:30
associate ( prm = > param ( ph ) , dst = > dependentState ( ph ) , stt = > state ( ph ) )
2021-07-27 00:08:43 +05:30
do ou = 1 , size ( prm % output )
2021-07-27 18:35:27 +05:30
select case ( trim ( prm % output ( ou ) ) )
case ( 'rho_u_ed_pos' )
2023-01-19 22:07:45 +05:30
call result_writeDataset ( stt % rho_sgl_mob_edg_pos , group , trim ( prm % output ( ou ) ) , &
'positive mobile edge density' , '1/m²' , prm % systems_sl )
2021-07-27 18:35:27 +05:30
case ( 'rho_b_ed_pos' )
2023-01-19 22:07:45 +05:30
call result_writeDataset ( stt % rho_sgl_imm_edg_pos , group , trim ( prm % output ( ou ) ) , &
'positive immobile edge density' , '1/m²' , prm % systems_sl )
2021-07-27 18:35:27 +05:30
case ( 'rho_u_ed_neg' )
2023-01-19 22:07:45 +05:30
call result_writeDataset ( stt % rho_sgl_mob_edg_neg , group , trim ( prm % output ( ou ) ) , &
'negative mobile edge density' , '1/m²' , prm % systems_sl )
2021-07-27 18:35:27 +05:30
case ( 'rho_b_ed_neg' )
2023-01-19 22:07:45 +05:30
call result_writeDataset ( stt % rho_sgl_imm_edg_neg , group , trim ( prm % output ( ou ) ) , &
'negative immobile edge density' , '1/m²' , prm % systems_sl )
2021-07-27 18:35:27 +05:30
case ( 'rho_d_ed' )
2023-01-19 22:07:45 +05:30
call result_writeDataset ( stt % rho_dip_edg , group , trim ( prm % output ( ou ) ) , &
'edge dipole density' , '1/m²' , prm % systems_sl )
2021-07-27 18:35:27 +05:30
case ( 'rho_u_sc_pos' )
2023-01-19 22:07:45 +05:30
call result_writeDataset ( stt % rho_sgl_mob_scr_pos , group , trim ( prm % output ( ou ) ) , &
'positive mobile screw density' , '1/m²' , prm % systems_sl )
2021-07-27 18:35:27 +05:30
case ( 'rho_b_sc_pos' )
2023-01-19 22:07:45 +05:30
call result_writeDataset ( stt % rho_sgl_imm_scr_pos , group , trim ( prm % output ( ou ) ) , &
'positive immobile screw density' , '1/m²' , prm % systems_sl )
2021-07-27 18:35:27 +05:30
case ( 'rho_u_sc_neg' )
2023-01-19 22:07:45 +05:30
call result_writeDataset ( stt % rho_sgl_mob_scr_neg , group , trim ( prm % output ( ou ) ) , &
'negative mobile screw density' , '1/m²' , prm % systems_sl )
2021-07-27 18:35:27 +05:30
case ( 'rho_b_sc_neg' )
2023-01-19 22:07:45 +05:30
call result_writeDataset ( stt % rho_sgl_imm_scr_neg , group , trim ( prm % output ( ou ) ) , &
'negative immobile screw density' , '1/m²' , prm % systems_sl )
2021-07-27 18:35:27 +05:30
case ( 'rho_d_sc' )
2023-01-19 22:07:45 +05:30
call result_writeDataset ( stt % rho_dip_scr , group , trim ( prm % output ( ou ) ) , &
'screw dipole density' , '1/m²' , prm % systems_sl )
2021-07-27 18:35:27 +05:30
case ( 'rho_f' )
2023-12-23 03:07:47 +05:30
call result_writeDataset ( dst % rho_forest , group , trim ( prm % output ( ou ) ) , &
2023-01-19 22:07:45 +05:30
'forest density' , '1/m²' , prm % systems_sl )
2021-07-27 18:35:27 +05:30
case ( 'v_ed_pos' )
2023-01-19 22:07:45 +05:30
call result_writeDataset ( stt % v_edg_pos , group , trim ( prm % output ( ou ) ) , &
'positive edge velocity' , 'm/s' , prm % systems_sl )
2021-07-27 18:35:27 +05:30
case ( 'v_ed_neg' )
2023-01-19 22:07:45 +05:30
call result_writeDataset ( stt % v_edg_neg , group , trim ( prm % output ( ou ) ) , &
'negative edge velocity' , 'm/s' , prm % systems_sl )
2021-07-27 18:35:27 +05:30
case ( 'v_sc_pos' )
2023-01-19 22:07:45 +05:30
call result_writeDataset ( stt % v_scr_pos , group , trim ( prm % output ( ou ) ) , &
'positive srew velocity' , 'm/s' , prm % systems_sl )
2021-07-27 18:35:27 +05:30
case ( 'v_sc_neg' )
2023-01-19 22:07:45 +05:30
call result_writeDataset ( stt % v_scr_neg , group , trim ( prm % output ( ou ) ) , &
'negative screw velocity' , 'm/s' , prm % systems_sl )
2021-07-27 18:35:27 +05:30
case ( 'gamma' )
2023-01-19 22:07:45 +05:30
call result_writeDataset ( stt % gamma , group , trim ( prm % output ( ou ) ) , &
'plastic shear' , '1' , prm % systems_sl )
2021-07-27 18:35:27 +05:30
case ( 'tau_pass' )
2023-01-19 22:07:45 +05:30
call result_writeDataset ( dst % tau_pass , group , trim ( prm % output ( ou ) ) , &
'passing stress for slip' , 'Pa' , prm % systems_sl )
2021-07-27 18:35:27 +05:30
end select
2021-07-27 00:08:43 +05:30
2021-11-15 23:05:44 +05:30
end do
2021-07-27 00:08:43 +05:30
2019-03-10 01:13:31 +05:30
end associate
2023-01-19 22:07:45 +05:30
end subroutine plastic_nonlocal_result
2019-03-10 01:13:31 +05:30
2020-03-16 12:52:36 +05:30
2020-03-17 11:47:40 +05:30
!--------------------------------------------------------------------------------------------------
!> @brief populates the initial dislocation density
!--------------------------------------------------------------------------------------------------
2021-05-22 15:33:13 +05:30
subroutine stateInit ( ini , phase , Nentries )
2020-03-17 11:47:40 +05:30
2020-03-17 12:05:25 +05:30
type ( tInitialParameters ) :: &
ini
integer , intent ( in ) :: &
2020-03-17 11:47:40 +05:30
phase , &
2021-05-22 15:33:13 +05:30
Nentries
2020-03-17 11:47:40 +05:30
integer :: &
2021-02-14 23:00:57 +05:30
e , &
2020-03-17 11:47:40 +05:30
f , &
from , &
upto , &
2021-05-22 15:33:13 +05:30
s
2023-06-04 10:52:25 +05:30
real ( pREAL ) , dimension ( 2 ) :: &
2020-03-17 11:47:40 +05:30
rnd
2023-06-04 10:52:25 +05:30
real ( pREAL ) :: &
2020-03-17 11:47:40 +05:30
meanDensity , &
totalVolume , &
densityBinning , &
minimumIpVolume
2020-08-15 19:32:10 +05:30
2021-02-14 23:00:57 +05:30
associate ( stt = > state ( phase ) )
2020-03-17 11:47:40 +05:30
2023-06-04 10:52:25 +05:30
if ( ini % random_rho_u > 0.0_pREAL ) then ! randomly distribute dislocation segments on random slip system and of random type in the volume
2023-12-29 22:32:52 +05:30
totalVolume = sum ( geom ( phase ) % v_0 )
minimumIPVolume = minval ( geom ( phase ) % v_0 )
2023-06-04 10:52:25 +05:30
densityBinning = ini % random_rho_u_binning / minimumIpVolume ** ( 2.0_pREAL / 3.0_pREAL )
2021-05-22 15:33:13 +05:30
! fill random material points with dislocation segments until the desired overall density is reached
2023-06-04 10:52:25 +05:30
meanDensity = 0.0_pREAL
2021-05-22 15:33:13 +05:30
do while ( meanDensity < ini % random_rho_u )
call random_number ( rnd )
2023-06-04 10:52:25 +05:30
e = nint ( rnd ( 1 ) * real ( Nentries , pREAL ) + 0.5_pREAL )
s = nint ( rnd ( 2 ) * real ( sum ( ini % N_sl ) , pREAL ) * 4.0_pREAL + 0.5_pREAL )
2023-12-29 22:32:52 +05:30
meanDensity = meanDensity + densityBinning * geom ( phase ) % v_0 ( e ) / totalVolume
stt % rho_sgl_mob ( s , e ) = densityBinning
2021-11-15 23:05:44 +05:30
end do
2021-05-22 15:33:13 +05:30
else ! homogeneous distribution with noise
2021-12-16 22:52:42 +05:30
do f = 1 , size ( ini % N_sl , 1 )
from = 1 + sum ( ini % N_sl ( 1 : f - 1 ) )
upto = sum ( ini % N_sl ( 1 : f ) )
call math_normal ( stt % rho_sgl_mob_edg_pos ( from : upto , : ) , ini % rho_u_ed_pos_0 ( f ) , ini % sigma_rho_u )
call math_normal ( stt % rho_sgl_mob_edg_neg ( from : upto , : ) , ini % rho_u_ed_neg_0 ( f ) , ini % sigma_rho_u )
call math_normal ( stt % rho_sgl_mob_scr_pos ( from : upto , : ) , ini % rho_u_sc_pos_0 ( f ) , ini % sigma_rho_u )
call math_normal ( stt % rho_sgl_mob_scr_neg ( from : upto , : ) , ini % rho_u_sc_neg_0 ( f ) , ini % sigma_rho_u )
stt % rho_dip_edg ( from : upto , : ) = ini % rho_d_ed_0 ( f )
stt % rho_dip_scr ( from : upto , : ) = ini % rho_d_sc_0 ( f )
2021-11-15 23:05:44 +05:30
end do
end if
2020-03-17 11:47:40 +05:30
end associate
end subroutine stateInit
2020-03-16 19:52:44 +05:30
!--------------------------------------------------------------------------------------------------
!> @brief calculates kinetics
!--------------------------------------------------------------------------------------------------
2021-06-24 18:55:43 +05:30
pure subroutine kinetics ( v , dv_dtau , dv_dtauNS , tau , tauNS , tauThreshold , c , T , ph )
2020-03-16 23:36:10 +05:30
2020-03-16 19:52:44 +05:30
integer , intent ( in ) :: &
c , & !< dislocation character (1:edge, 2:screw)
2021-02-14 19:59:10 +05:30
ph
2023-06-04 10:52:25 +05:30
real ( pREAL ) , dimension ( param ( ph ) % sum_N_sl ) , intent ( in ) :: &
2020-03-16 19:52:44 +05:30
tau , & !< resolved external shear stress (without non Schmid effects)
tauNS , & !< resolved external shear stress (including non Schmid effects)
tauThreshold !< threshold shear stress
2023-09-15 22:26:27 +05:30
real ( pREAL ) , intent ( in ) :: &
T !< T
2023-06-04 10:52:25 +05:30
real ( pREAL ) , dimension ( param ( ph ) % sum_N_sl ) , intent ( out ) :: &
2020-03-16 19:52:44 +05:30
v , & !< velocity
dv_dtau , & !< velocity derivative with respect to resolved shear stress (without non Schmid contributions)
dv_dtauNS !< velocity derivative with respect to resolved shear stress (including non Schmid contributions)
integer :: &
s !< index of my current slip system
2023-06-04 10:52:25 +05:30
real ( pREAL ) :: &
2020-03-16 19:52:44 +05:30
tauRel_P , &
tauRel_S , &
tauEff , & !< effective shear stress
tPeierls , & !< waiting time in front of a peierls barriers
tSolidSolution , & !< waiting time in front of a solid solution obstacle
dtPeierls_dtau , & !< derivative with respect to resolved shear stress
dtSolidSolution_dtau , & !< derivative with respect to resolved shear stress
2021-06-24 18:55:43 +05:30
lambda_S , & !< mean free distance between two solid solution obstacles
lambda_P , & !< mean free distance between two Peierls barriers
2020-03-16 19:52:44 +05:30
activationVolume_P , & !< volume that needs to be activated to overcome barrier
activationVolume_S , & !< volume that needs to be activated to overcome barrier
activationEnergy_P , & !< energy that is needed to overcome barrier
criticalStress_P , & !< maximum obstacle strength
2021-06-24 19:37:54 +05:30
criticalStress_S !< maximum obstacle strength
2020-03-16 19:52:44 +05:30
2021-12-20 02:37:23 +05:30
2023-06-04 10:52:25 +05:30
v = 0.0_pREAL
dv_dtau = 0.0_pREAL
dv_dtauNS = 0.0_pREAL
2021-12-20 02:37:23 +05:30
2021-02-14 23:00:57 +05:30
associate ( prm = > param ( ph ) )
2020-03-16 19:52:44 +05:30
2021-12-20 02:16:10 +05:30
do s = 1 , prm % sum_N_sl
if ( abs ( tau ( s ) ) > tauThreshold ( s ) ) then
!* Peierls contribution
2023-06-04 10:52:25 +05:30
tauEff = max ( 0.0_pREAL , abs ( tauNS ( s ) ) - tauThreshold ( s ) )
2021-12-20 02:16:10 +05:30
lambda_P = prm % b_sl ( s )
2023-09-15 22:26:27 +05:30
activationVolume_P = prm % w * prm % b_sl ( s ) ** 3
2021-12-20 02:16:10 +05:30
criticalStress_P = prm % peierlsStress ( s , c )
activationEnergy_P = criticalStress_P * activationVolume_P
2023-06-04 10:52:25 +05:30
tauRel_P = min ( 1.0_pREAL , tauEff / criticalStress_P )
tPeierls = 1.0_pREAL / prm % nu_a &
2021-12-20 02:16:10 +05:30
* exp ( activationEnergy_P / ( K_B * T ) &
2023-06-04 10:52:25 +05:30
* ( 1.0_pREAL - tauRel_P ** prm % p ) ** prm % q )
2021-12-20 02:16:10 +05:30
dtPeierls_dtau = merge ( tPeierls * prm % p * prm % q * activationVolume_P / ( K_B * T ) &
2023-06-04 10:52:25 +05:30
* ( 1.0_pREAL - tauRel_P ** prm % p ) ** ( prm % q - 1.0_pREAL ) * tauRel_P ** ( prm % p - 1.0_pREAL ) , &
0.0_pREAL , &
2021-12-20 02:16:10 +05:30
tauEff < criticalStress_P )
! Contribution from solid solution strengthening
tauEff = abs ( tau ( s ) ) - tauThreshold ( s )
lambda_S = prm % b_sl ( s ) / sqrt ( prm % c_sol )
activationVolume_S = prm % f_sol * prm % b_sl ( s ) ** 3 / sqrt ( prm % c_sol )
criticalStress_S = prm % Q_sol / activationVolume_S
2023-06-04 10:52:25 +05:30
tauRel_S = min ( 1.0_pREAL , tauEff / criticalStress_S )
tSolidSolution = 1.0_pREAL / prm % nu_a &
* exp ( prm % Q_sol / ( K_B * T ) * ( 1.0_pREAL - tauRel_S ** prm % p ) ** prm % q )
2021-12-20 02:16:10 +05:30
dtSolidSolution_dtau = merge ( tSolidSolution * prm % p * prm % q * activationVolume_S / ( K_B * T ) &
2023-06-04 10:52:25 +05:30
* ( 1.0_pREAL - tauRel_S ** prm % p ) ** ( prm % q - 1.0_pREAL ) * tauRel_S ** ( prm % p - 1.0_pREAL ) , &
0.0_pREAL , &
2021-12-20 02:16:10 +05:30
tauEff < criticalStress_S )
!* viscous glide velocity
tauEff = abs ( tau ( s ) ) - tauThreshold ( s )
2023-06-04 10:52:25 +05:30
v ( s ) = sign ( 1.0_pREAL , tau ( s ) ) &
2021-12-20 02:16:10 +05:30
/ ( tPeierls / lambda_P + tSolidSolution / lambda_S + prm % B / ( prm % b_sl ( s ) * tauEff ) )
dv_dtau ( s ) = v ( s ) ** 2 * ( dtSolidSolution_dtau / lambda_S + prm % B / ( prm % b_sl ( s ) * tauEff ** 2 ) )
dv_dtauNS ( s ) = v ( s ) ** 2 * dtPeierls_dtau / lambda_P
2021-06-24 19:37:54 +05:30
2021-12-20 02:16:10 +05:30
end if
end do
2020-03-16 19:52:44 +05:30
end associate
end subroutine kinetics
2020-03-16 12:52:36 +05:30
!--------------------------------------------------------------------------------------------------
!> @brief returns copy of current dislocation densities from state
!> @details raw values is rectified
!--------------------------------------------------------------------------------------------------
2021-05-21 10:38:28 +05:30
pure function getRho ( ph , en ) result ( rho )
2020-03-16 12:52:36 +05:30
2021-04-25 11:36:52 +05:30
integer , intent ( in ) :: ph , en
2023-06-04 10:52:25 +05:30
real ( pREAL ) , dimension ( param ( ph ) % sum_N_sl , 10 ) :: rho
2020-03-16 12:52:36 +05:30
2021-02-14 21:59:23 +05:30
2021-02-14 23:00:57 +05:30
associate ( prm = > param ( ph ) )
2020-03-16 12:52:36 +05:30
2021-05-21 10:38:28 +05:30
rho = reshape ( state ( ph ) % rho ( : , en ) , [ prm % sum_N_sl , 10 ] )
2020-03-16 12:52:36 +05:30
2021-02-14 21:59:23 +05:30
! ensure positive densities (not for imm, they have a sign)
2023-06-04 10:52:25 +05:30
rho ( : , mob ) = max ( rho ( : , mob ) , 0.0_pREAL )
rho ( : , dip ) = max ( rho ( : , dip ) , 0.0_pREAL )
2020-03-16 12:52:36 +05:30
2023-12-29 22:32:52 +05:30
where ( abs ( rho ) < max ( prm % rho_min / geom ( ph ) % v_0 ( en ) ** ( 2.0_pREAL / 3.0_pREAL ) , prm % rho_significant ) ) &
2023-06-04 10:52:25 +05:30
rho = 0.0_pREAL
2020-03-16 12:52:36 +05:30
end associate
end function getRho
!--------------------------------------------------------------------------------------------------
!> @brief returns copy of current dislocation densities from state
!> @details raw values is rectified
!--------------------------------------------------------------------------------------------------
2023-12-29 22:32:52 +05:30
pure function getRho0 ( ph , en ) result ( rho_0 )
2020-03-16 12:52:36 +05:30
2021-04-25 11:36:52 +05:30
integer , intent ( in ) :: ph , en
2023-12-29 22:32:52 +05:30
real ( pREAL ) , dimension ( param ( ph ) % sum_N_sl , 10 ) :: rho_0
2020-03-16 12:52:36 +05:30
2021-02-14 21:59:23 +05:30
2021-02-14 23:00:57 +05:30
associate ( prm = > param ( ph ) )
2020-03-16 12:52:36 +05:30
2023-12-29 22:32:52 +05:30
rho_0 = reshape ( state0 ( ph ) % rho ( : , en ) , [ prm % sum_N_sl , 10 ] )
2020-03-16 12:52:36 +05:30
2021-02-14 21:59:23 +05:30
! ensure positive densities (not for imm, they have a sign)
2023-12-29 22:32:52 +05:30
rho_0 ( : , mob ) = max ( rho_0 ( : , mob ) , 0.0_pREAL )
rho_0 ( : , dip ) = max ( rho_0 ( : , dip ) , 0.0_pREAL )
2020-03-16 12:52:36 +05:30
2023-12-29 22:32:52 +05:30
where ( abs ( rho_0 ) < max ( prm % rho_min / geom ( ph ) % v_0 ( en ) ** ( 2.0_pREAL / 3.0_pREAL ) , prm % rho_significant ) ) &
rho_0 = 0.0_pREAL
2020-03-16 12:52:36 +05:30
end associate
end function getRho0
2021-02-14 19:06:56 +05:30
2023-12-29 22:32:52 +05:30
!--------------------------------------------------------------------------------------------------
!--------------------------------------------------------------------------------------------------
2021-02-14 19:06:56 +05:30
subroutine storeGeometry ( ph )
integer , intent ( in ) :: ph
2023-12-30 02:40:47 +05:30
integer :: ce , nCell
2023-12-29 22:32:52 +05:30
real ( pREAL ) , dimension ( : ) , allocatable :: v_0
real ( pREAL ) , dimension ( : , : ) , allocatable :: a_0 , x_0
real ( pREAL ) , dimension ( : , : , : ) , allocatable :: n_0
2022-02-04 12:03:12 +05:30
integer , dimension ( : , : , : ) , allocatable :: neighborhood
2021-03-05 01:46:36 +05:30
2023-12-29 22:32:52 +05:30
nCell = product ( shape ( IPVolume0 ) )
v_0 = reshape ( IPVolume0 , [ nCell ] )
a_0 = reshape ( IPArea0 , [ nCellNeighbors , nCell ] )
x_0 = reshape ( discretization_IPcoords , [ 3 , nCell ] )
n_0 = reshape ( IPAreaNormal0 , [ 3 , nCellNeighbors , nCell ] )
neighborhood = reshape ( IPneighborhood , [ 3 , nCellNeighbors , nCell ] )
2021-02-14 19:06:56 +05:30
2023-01-23 13:01:59 +05:30
do ce = 1 , size ( material_entry_homogenization , 1 )
2023-12-30 02:40:47 +05:30
if ( material_ID_phase ( 1 , ce ) == ph ) then
geom ( ph ) % v_0 ( material_entry_phase ( 1 , ce ) ) = v_0 ( ce )
geom ( ph ) % a_0 ( : , material_entry_phase ( 1 , ce ) ) = a_0 ( : , ce )
geom ( ph ) % x_0 ( : , material_entry_phase ( 1 , ce ) ) = x_0 ( : , ce )
geom ( ph ) % n_0 ( : , : , material_entry_phase ( 1 , ce ) ) = n_0 ( : , : , ce )
geom ( ph ) % IPneighborhood ( : , : , material_entry_phase ( 1 , ce ) ) = neighborhood ( : , : , ce )
end if
2021-11-15 23:05:44 +05:30
end do
2021-02-14 19:06:56 +05:30
2022-12-02 00:14:53 +05:30
end subroutine storeGeometry
2021-02-14 19:06:56 +05:30
2021-01-26 05:41:32 +05:30
end submodule nonlocal
