Merge branch 'development' into noAbaqus

This commit is contained in:
Martin Diehl 2020-02-06 18:33:13 +01:00
commit 98e5713ce5
16 changed files with 2621 additions and 2481 deletions

@ -1 +1 @@
Subproject commit 6f87ed87eddeea4a63827647256fd68328907fca
Subproject commit 64432754ce3c590c882cf4987695539cee524ee8

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@ -1 +1 @@
v2.0.3-1601-gc433e244
v2.0.3-1624-g47109b90

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@ -33,14 +33,14 @@
#include "kinematics_cleavage_opening.f90"
#include "kinematics_slipplane_opening.f90"
#include "kinematics_thermal_expansion.f90"
#include "plastic_none.f90"
#include "plastic_isotropic.f90"
#include "plastic_phenopowerlaw.f90"
#include "plastic_kinematichardening.f90"
#include "plastic_dislotwin.f90"
#include "plastic_disloUCLA.f90"
#include "plastic_nonlocal.f90"
#include "constitutive.f90"
#include "constitutive_plastic_none.f90"
#include "constitutive_plastic_isotropic.f90"
#include "constitutive_plastic_phenopowerlaw.f90"
#include "constitutive_plastic_kinehardening.f90"
#include "constitutive_plastic_dislotwin.f90"
#include "constitutive_plastic_disloUCLA.f90"
#include "constitutive_plastic_nonlocal.f90"
#include "crystallite.f90"
#include "thermal_isothermal.f90"
#include "thermal_adiabatic.f90"

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@ -4,7 +4,9 @@
!> @brief elasticity, plasticity, internal microstructure state
!--------------------------------------------------------------------------------------------------
module constitutive
use prec
use math
use rotations
use debug
use numerics
use IO
@ -13,13 +15,6 @@ module constitutive
use results
use lattice
use discretization
use plastic_none
use plastic_isotropic
use plastic_phenopowerlaw
use plastic_kinehardening
use plastic_dislotwin
use plastic_disloucla
use plastic_nonlocal
use geometry_plastic_nonlocal
use source_thermal_dissipation
use source_thermal_externalheat
@ -38,7 +33,284 @@ module constitutive
constitutive_plasticity_maxSizeDotState, &
constitutive_source_maxSizeDotState
interface
module subroutine plastic_none_init
end subroutine plastic_none_init
module subroutine plastic_isotropic_init
end subroutine plastic_isotropic_init
module subroutine plastic_phenopowerlaw_init
end subroutine plastic_phenopowerlaw_init
module subroutine plastic_kinehardening_init
end subroutine plastic_kinehardening_init
module subroutine plastic_dislotwin_init
end subroutine plastic_dislotwin_init
module subroutine plastic_disloUCLA_init
end subroutine plastic_disloUCLA_init
module subroutine plastic_nonlocal_init
end subroutine plastic_nonlocal_init
module subroutine plastic_isotropic_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of)
real(pReal), dimension(3,3), intent(out) :: &
Lp !< plastic velocity gradient
real(pReal), dimension(3,3,3,3), intent(out) :: &
dLp_dMp !< derivative of Lp with respect to the Mandel stress
real(pReal), dimension(3,3), intent(in) :: &
Mp !< Mandel stress
integer, intent(in) :: &
instance, &
of
end subroutine plastic_isotropic_LpAndItsTangent
pure module subroutine plastic_phenopowerlaw_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of)
real(pReal), dimension(3,3), intent(out) :: &
Lp !< plastic velocity gradient
real(pReal), dimension(3,3,3,3), intent(out) :: &
dLp_dMp !< derivative of Lp with respect to the Mandel stress
real(pReal), dimension(3,3), intent(in) :: &
Mp !< Mandel stress
integer, intent(in) :: &
instance, &
of
end subroutine plastic_phenopowerlaw_LpAndItsTangent
pure module subroutine plastic_kinehardening_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of)
real(pReal), dimension(3,3), intent(out) :: &
Lp !< plastic velocity gradient
real(pReal), dimension(3,3,3,3), intent(out) :: &
dLp_dMp !< derivative of Lp with respect to the Mandel stress
real(pReal), dimension(3,3), intent(in) :: &
Mp !< Mandel stress
integer, intent(in) :: &
instance, &
of
end subroutine plastic_kinehardening_LpAndItsTangent
module subroutine plastic_dislotwin_LpAndItsTangent(Lp,dLp_dMp,Mp,T,instance,of)
real(pReal), dimension(3,3), intent(out) :: &
Lp !< plastic velocity gradient
real(pReal), dimension(3,3,3,3), intent(out) :: &
dLp_dMp !< derivative of Lp with respect to the Mandel stress
real(pReal), dimension(3,3), intent(in) :: &
Mp !< Mandel stress
real(pReal), intent(in) :: &
T
integer, intent(in) :: &
instance, &
of
end subroutine plastic_dislotwin_LpAndItsTangent
pure module subroutine plastic_disloUCLA_LpAndItsTangent(Lp,dLp_dMp,Mp,T,instance,of)
real(pReal), dimension(3,3), intent(out) :: &
Lp !< plastic velocity gradient
real(pReal), dimension(3,3,3,3), intent(out) :: &
dLp_dMp !< derivative of Lp with respect to the Mandel stress
real(pReal), dimension(3,3), intent(in) :: &
Mp !< Mandel stress
real(pReal), intent(in) :: &
T
integer, intent(in) :: &
instance, &
of
end subroutine plastic_disloUCLA_LpAndItsTangent
module subroutine plastic_nonlocal_LpAndItsTangent(Lp, dLp_dMp, &
Mp, Temperature, volume, ip, el)
real(pReal), dimension(3,3), intent(out) :: &
Lp !< plastic velocity gradient
real(pReal), dimension(3,3,3,3), intent(out) :: &
dLp_dMp !< derivative of Lp with respect to the Mandel stress
real(pReal), dimension(3,3), intent(in) :: &
Mp !< Mandel stress
real(pReal), intent(in) :: &
Temperature, &
volume
integer, intent(in) :: &
ip, & !< current integration point
el !< current element number
end subroutine plastic_nonlocal_LpAndItsTangent
module subroutine plastic_isotropic_LiAndItsTangent(Li,dLi_dMi,Mi,instance,of)
real(pReal), dimension(3,3), intent(out) :: &
Li !< inleastic velocity gradient
real(pReal), dimension(3,3,3,3), intent(out) :: &
dLi_dMi !< derivative of Li with respect to Mandel stress
real(pReal), dimension(3,3), intent(in) :: &
Mi !< Mandel stress
integer, intent(in) :: &
instance, &
of
end subroutine plastic_isotropic_LiAndItsTangent
module subroutine plastic_isotropic_dotState(Mp,instance,of)
real(pReal), dimension(3,3), intent(in) :: &
Mp !< Mandel stress
integer, intent(in) :: &
instance, &
of
end subroutine plastic_isotropic_dotState
module subroutine plastic_phenopowerlaw_dotState(Mp,instance,of)
real(pReal), dimension(3,3), intent(in) :: &
Mp !< Mandel stress
integer, intent(in) :: &
instance, &
of
end subroutine plastic_phenopowerlaw_dotState
module subroutine plastic_kinehardening_dotState(Mp,instance,of)
real(pReal), dimension(3,3), intent(in) :: &
Mp !< Mandel stress
integer, intent(in) :: &
instance, &
of
end subroutine plastic_kinehardening_dotState
module subroutine plastic_dislotwin_dotState(Mp,T,instance,of)
real(pReal), dimension(3,3), intent(in) :: &
Mp !< Mandel stress
real(pReal), intent(in) :: &
T
integer, intent(in) :: &
instance, &
of
end subroutine plastic_dislotwin_dotState
module subroutine plastic_disloUCLA_dotState(Mp,T,instance,of)
real(pReal), dimension(3,3), intent(in) :: &
Mp !< Mandel stress
real(pReal), intent(in) :: &
T
integer, intent(in) :: &
instance, &
of
end subroutine plastic_disloUCLA_dotState
module subroutine plastic_nonlocal_dotState(Mp, Fe, Fp, Temperature, &
timestep,ip,el)
integer, intent(in) :: &
ip, & !< current integration point
el !< current element number
real(pReal), intent(in) :: &
Temperature, & !< temperature
timestep !< substepped crystallite time increment
real(pReal), dimension(3,3), intent(in) ::&
Mp !< MandelStress
real(pReal), dimension(3,3,homogenization_maxNgrains,discretization_nIP,discretization_nElem), intent(in) :: &
Fe, & !< elastic deformation gradient
Fp !< plastic deformation gradient
end subroutine plastic_nonlocal_dotState
module subroutine plastic_dislotwin_dependentState(T,instance,of)
integer, intent(in) :: &
instance, &
of
real(pReal), intent(in) :: &
T
end subroutine plastic_dislotwin_dependentState
module subroutine plastic_disloUCLA_dependentState(instance,of)
integer, intent(in) :: &
instance, &
of
end subroutine plastic_disloUCLA_dependentState
module subroutine plastic_nonlocal_dependentState(Fe, Fp, ip, el)
integer, intent(in) :: &
ip, &
el
real(pReal), dimension(3,3), intent(in) :: &
Fe, &
Fp
end subroutine plastic_nonlocal_dependentState
module subroutine plastic_kinehardening_deltaState(Mp,instance,of)
real(pReal), dimension(3,3), intent(in) :: &
Mp !< Mandel stress
integer, intent(in) :: &
instance, &
of
end subroutine plastic_kinehardening_deltaState
module subroutine plastic_nonlocal_deltaState(Mp,ip,el)
integer, intent(in) :: &
ip, &
el
real(pReal), dimension(3,3), intent(in) :: &
Mp
end subroutine plastic_nonlocal_deltaState
module function plastic_dislotwin_homogenizedC(ipc,ip,el) result(homogenizedC)
real(pReal), dimension(6,6) :: &
homogenizedC
integer, intent(in) :: &
ipc, & !< component-ID of integration point
ip, & !< integration point
el !< element
end function plastic_dislotwin_homogenizedC
module subroutine plastic_nonlocal_updateCompatibility(orientation,i,e)
integer, intent(in) :: &
i, &
e
type(rotation), dimension(1,discretization_nIP,discretization_nElem), intent(in) :: &
orientation !< crystal orientation
end subroutine plastic_nonlocal_updateCompatibility
module subroutine plastic_isotropic_results(instance,group)
integer, intent(in) :: instance
character(len=*), intent(in) :: group
end subroutine plastic_isotropic_results
module subroutine plastic_phenopowerlaw_results(instance,group)
integer, intent(in) :: instance
character(len=*), intent(in) :: group
end subroutine plastic_phenopowerlaw_results
module subroutine plastic_kinehardening_results(instance,group)
integer, intent(in) :: instance
character(len=*), intent(in) :: group
end subroutine plastic_kinehardening_results
module subroutine plastic_dislotwin_results(instance,group)
integer, intent(in) :: instance
character(len=*), intent(in) :: group
end subroutine plastic_dislotwin_results
module subroutine plastic_disloUCLA_results(instance,group)
integer, intent(in) :: instance
character(len=*), intent(in) :: group
end subroutine plastic_disloUCLA_results
module subroutine plastic_nonlocal_results(instance,group)
integer, intent(in) :: instance
character(len=*), intent(in) :: group
end subroutine plastic_nonlocal_results
end interface
public :: &
plastic_nonlocal_updateCompatibility, &
constitutive_init, &
constitutive_homogenizedC, &
constitutive_microstructure, &
@ -179,8 +451,7 @@ end subroutine constitutive_microstructure
! Mp in, dLp_dMp out
!--------------------------------------------------------------------------------------------------
subroutine constitutive_LpAndItsTangents(Lp, dLp_dS, dLp_dFi, &
S, Fi, ipc, ip, el)
S, Fi, ipc, ip, el)
integer, intent(in) :: &
ipc, & !< component-ID of integration point
ip, & !< integration point

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@ -5,21 +5,9 @@
!> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH
!> @brief crystal plasticity model for bcc metals, especially Tungsten
!--------------------------------------------------------------------------------------------------
module plastic_disloUCLA
use prec
use debug
use math
use IO
use material
use config
use lattice
use discretization
use results
submodule(constitutive) plastic_disloUCLA
implicit none
private
real(pReal), parameter, private :: &
real(pReal), parameter :: &
kB = 1.38e-23_pReal !< Boltzmann constant in J/Kelvin
enum, bind(c)
@ -33,7 +21,7 @@ module plastic_disloUCLA
tau_pass_ID
end enum
type, private :: tParameters
type :: tParameters
real(pReal) :: &
aTol_rho, &
D, & !< grain size
@ -75,14 +63,14 @@ module plastic_disloUCLA
dipoleFormation !< flag indicating consideration of dipole formation
end type !< container type for internal constitutive parameters
type, private :: tDisloUCLAState
type :: tDisloUCLAState
real(pReal), dimension(:,:), pointer :: &
rho_mob, &
rho_dip, &
gamma_sl
end type tDisloUCLAState
type, private :: tDisloUCLAdependentState
type :: tDisloUCLAdependentState
real(pReal), dimension(:,:), allocatable :: &
Lambda_sl, &
threshold_stress
@ -90,20 +78,11 @@ module plastic_disloUCLA
!--------------------------------------------------------------------------------------------------
! containers for parameters and state
type(tParameters), allocatable, dimension(:), private :: param
type(tDisloUCLAState), allocatable, dimension(:), private :: &
type(tParameters), allocatable, dimension(:) :: param
type(tDisloUCLAState), allocatable, dimension(:) :: &
dotState, &
state
type(tDisloUCLAdependentState), allocatable, dimension(:), private :: dependentState
public :: &
plastic_disloUCLA_init, &
plastic_disloUCLA_dependentState, &
plastic_disloUCLA_LpAndItsTangent, &
plastic_disloUCLA_dotState, &
plastic_disloUCLA_results
private :: &
kinetics
type(tDisloUCLAdependentState), allocatable, dimension(:) :: dependentState
contains
@ -112,7 +91,7 @@ contains
!> @brief module initialization
!> @details reads in material parameters, allocates arrays, and does sanity checks
!--------------------------------------------------------------------------------------------------
subroutine plastic_disloUCLA_init()
module subroutine plastic_disloUCLA_init
integer :: &
Ninstance, &
@ -328,7 +307,7 @@ end subroutine plastic_disloUCLA_init
!--------------------------------------------------------------------------------------------------
!> @brief calculates plastic velocity gradient and its tangent
!--------------------------------------------------------------------------------------------------
pure subroutine plastic_disloUCLA_LpAndItsTangent(Lp,dLp_dMp, &
pure module subroutine plastic_disloUCLA_LpAndItsTangent(Lp,dLp_dMp, &
Mp,T,instance,of)
real(pReal), dimension(3,3), intent(out) :: &
Lp !< plastic velocity gradient
@ -371,7 +350,7 @@ end subroutine plastic_disloUCLA_LpAndItsTangent
!--------------------------------------------------------------------------------------------------
!> @brief calculates the rate of change of microstructure
!--------------------------------------------------------------------------------------------------
subroutine plastic_disloUCLA_dotState(Mp,T,instance,of)
module subroutine plastic_disloUCLA_dotState(Mp,T,instance,of)
real(pReal), dimension(3,3), intent(in) :: &
Mp !< Mandel stress
@ -431,7 +410,7 @@ end subroutine plastic_disloUCLA_dotState
!--------------------------------------------------------------------------------------------------
!> @brief calculates derived quantities from state
!--------------------------------------------------------------------------------------------------
subroutine plastic_disloUCLA_dependentState(instance,of)
module subroutine plastic_disloUCLA_dependentState(instance,of)
integer, intent(in) :: &
instance, &
@ -457,7 +436,7 @@ end subroutine plastic_disloUCLA_dependentState
!--------------------------------------------------------------------------------------------------
!> @brief writes results to HDF5 output file
!--------------------------------------------------------------------------------------------------
subroutine plastic_disloUCLA_results(instance,group)
module subroutine plastic_disloUCLA_results(instance,group)
integer, intent(in) :: instance
character(len=*), intent(in) :: group
@ -604,4 +583,4 @@ pure subroutine kinetics(Mp,T,instance,of, &
end subroutine kinetics
end module plastic_disloUCLA
end submodule plastic_disloUCLA

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@ -7,18 +7,7 @@
!! resolving the stress on the slip systems. Will give the response of phenopowerlaw for an
!! untextured polycrystal
!--------------------------------------------------------------------------------------------------
module plastic_isotropic
use prec
use debug
use math
use IO
use material
use config
use discretization
use results
implicit none
private
submodule(constitutive) plastic_isotropic
enum, bind(c)
enumerator :: &
@ -64,20 +53,13 @@ module plastic_isotropic
dotState, &
state
public :: &
plastic_isotropic_init, &
plastic_isotropic_LpAndItsTangent, &
plastic_isotropic_LiAndItsTangent, &
plastic_isotropic_dotState, &
plastic_isotropic_results
contains
!--------------------------------------------------------------------------------------------------
!> @brief module initialization
!> @details reads in material parameters, allocates arrays, and does sanity checks
!--------------------------------------------------------------------------------------------------
subroutine plastic_isotropic_init
module subroutine plastic_isotropic_init
integer :: &
Ninstance, &
@ -207,7 +189,7 @@ end subroutine plastic_isotropic_init
!--------------------------------------------------------------------------------------------------
!> @brief calculates plastic velocity gradient and its tangent
!--------------------------------------------------------------------------------------------------
subroutine plastic_isotropic_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of)
module subroutine plastic_isotropic_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of)
real(pReal), dimension(3,3), intent(out) :: &
Lp !< plastic velocity gradient
@ -268,7 +250,7 @@ end subroutine plastic_isotropic_LpAndItsTangent
!--------------------------------------------------------------------------------------------------
!> @brief calculates plastic velocity gradient and its tangent
!--------------------------------------------------------------------------------------------------
subroutine plastic_isotropic_LiAndItsTangent(Li,dLi_dMi,Mi,instance,of)
module subroutine plastic_isotropic_LiAndItsTangent(Li,dLi_dMi,Mi,instance,of)
real(pReal), dimension(3,3), intent(out) :: &
Li !< inleastic velocity gradient
@ -320,7 +302,7 @@ subroutine plastic_isotropic_LiAndItsTangent(Li,dLi_dMi,Mi,instance,of)
!--------------------------------------------------------------------------------------------------
!> @brief calculates the rate of change of microstructure
!--------------------------------------------------------------------------------------------------
subroutine plastic_isotropic_dotState(Mp,instance,of)
module subroutine plastic_isotropic_dotState(Mp,instance,of)
real(pReal), dimension(3,3), intent(in) :: &
Mp !< Mandel stress
@ -369,7 +351,7 @@ end subroutine plastic_isotropic_dotState
!--------------------------------------------------------------------------------------------------
!> @brief writes results to HDF5 output file
!--------------------------------------------------------------------------------------------------
subroutine plastic_isotropic_results(instance,group)
module subroutine plastic_isotropic_results(instance,group)
integer, intent(in) :: instance
character(len=*), intent(in) :: group
@ -388,4 +370,4 @@ subroutine plastic_isotropic_results(instance,group)
end subroutine plastic_isotropic_results
end module plastic_isotropic
end submodule plastic_isotropic

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@ -0,0 +1,522 @@
!--------------------------------------------------------------------------------------------------
!> @author Philip Eisenlohr, Michigan State University
!> @author Zhuowen Zhao, Michigan State University
!> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH
!> @brief Phenomenological crystal plasticity using a power law formulation for the shear rates
!! and a Voce-type kinematic hardening rule
!--------------------------------------------------------------------------------------------------
submodule(constitutive) plastic_kinehardening
enum, bind(c)
enumerator :: &
undefined_ID, &
crss_ID, & !< critical resolved stress
crss_back_ID, & !< critical resolved back stress
sense_ID, & !< sense of acting shear stress (-1 or +1)
chi0_ID, & !< backstress at last switch of stress sense (positive?)
gamma0_ID, & !< accumulated shear at last switch of stress sense (at current switch?)
accshear_ID, &
shearrate_ID, &
resolvedstress_ID
end enum
type :: tParameters
real(pReal) :: &
gdot0, & !< reference shear strain rate for slip
n, & !< stress exponent for slip
aTolResistance, &
aTolShear
real(pReal), allocatable, dimension(:) :: &
crss0, & !< initial critical shear stress for slip
theta0, & !< initial hardening rate of forward stress for each slip
theta1, & !< asymptotic hardening rate of forward stress for each slip
theta0_b, & !< initial hardening rate of back stress for each slip
theta1_b, & !< asymptotic hardening rate of back stress for each slip
tau1, &
tau1_b, &
nonSchmidCoeff
real(pReal), allocatable, dimension(:,:) :: &
interaction_slipslip !< slip resistance from slip activity
real(pReal), allocatable, dimension(:,:,:) :: &
Schmid, &
nonSchmid_pos, &
nonSchmid_neg
integer :: &
totalNslip, & !< total number of active slip system
of_debug = 0
integer, allocatable, dimension(:) :: &
Nslip !< number of active slip systems for each family
integer(kind(undefined_ID)), allocatable, dimension(:) :: &
outputID !< ID of each post result output
end type tParameters
type :: tKinehardeningState
real(pReal), pointer, dimension(:,:) :: & !< vectors along NipcMyInstance
crss, & !< critical resolved stress
crss_back, & !< critical resolved back stress
sense, & !< sense of acting shear stress (-1 or +1)
chi0, & !< backstress at last switch of stress sense
gamma0, & !< accumulated shear at last switch of stress sense
accshear !< accumulated (absolute) shear
end type tKinehardeningState
!--------------------------------------------------------------------------------------------------
! containers for parameters and state
type(tParameters), allocatable, dimension(:) :: param
type(tKinehardeningState), allocatable, dimension(:) :: &
dotState, &
deltaState, &
state
contains
!--------------------------------------------------------------------------------------------------
!> @brief module initialization
!> @details reads in material parameters, allocates arrays, and does sanity checks
!--------------------------------------------------------------------------------------------------
module subroutine plastic_kinehardening_init
integer :: &
Ninstance, &
p, i, o, &
NipcMyPhase, &
sizeState, sizeDeltaState, sizeDotState, &
startIndex, endIndex
integer(kind(undefined_ID)) :: &
outputID
character(len=pStringLen) :: &
extmsg = ''
character(len=pStringLen), dimension(:), allocatable :: &
outputs
write(6,'(/,a)') ' <<<+- plastic_'//PLASTICITY_KINEHARDENING_label//' init -+>>>'
Ninstance = count(phase_plasticity == PLASTICITY_KINEHARDENING_ID)
if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) &
write(6,'(a16,1x,i5,/)') '# instances:',Ninstance
allocate(param(Ninstance))
allocate(state(Ninstance))
allocate(dotState(Ninstance))
allocate(deltaState(Ninstance))
do p = 1, size(phase_plasticityInstance)
if (phase_plasticity(p) /= PLASTICITY_KINEHARDENING_ID) cycle
associate(prm => param(phase_plasticityInstance(p)), &
dot => dotState(phase_plasticityInstance(p)), &
dlt => deltaState(phase_plasticityInstance(p)), &
stt => state(phase_plasticityInstance(p)),&
config => config_phase(p))
#ifdef DEBUG
if (p==material_phaseAt(debug_g,debug_e)) then
prm%of_debug = material_phasememberAt(debug_g,debug_i,debug_e)
endif
#endif
!--------------------------------------------------------------------------------------------------
! optional parameters that need to be defined
prm%aTolResistance = config%getFloat('atol_resistance',defaultVal=1.0_pReal)
prm%aTolShear = config%getFloat('atol_shear', defaultVal=1.0e-6_pReal)
! sanity checks
if (prm%aTolResistance <= 0.0_pReal) extmsg = trim(extmsg)//' aTolresistance'
if (prm%aTolShear <= 0.0_pReal) extmsg = trim(extmsg)//' aTolShear'
!--------------------------------------------------------------------------------------------------
! slip related parameters
prm%Nslip = config%getInts('nslip',defaultVal=emptyIntArray)
prm%totalNslip = sum(prm%Nslip)
slipActive: if (prm%totalNslip > 0) then
prm%Schmid = lattice_SchmidMatrix_slip(prm%Nslip,config%getString('lattice_structure'),&
config%getFloat('c/a',defaultVal=0.0_pReal))
if(trim(config%getString('lattice_structure')) == 'bcc') then
prm%nonSchmidCoeff = config%getFloats('nonschmid_coefficients',&
defaultVal = emptyRealArray)
prm%nonSchmid_pos = lattice_nonSchmidMatrix(prm%Nslip,prm%nonSchmidCoeff,+1)
prm%nonSchmid_neg = lattice_nonSchmidMatrix(prm%Nslip,prm%nonSchmidCoeff,-1)
else
prm%nonSchmid_pos = prm%Schmid
prm%nonSchmid_neg = prm%Schmid
endif
prm%interaction_SlipSlip = lattice_interaction_SlipBySlip(prm%Nslip, &
config%getFloats('interaction_slipslip'), &
config%getString('lattice_structure'))
prm%crss0 = config%getFloats('crss0', requiredSize=size(prm%Nslip))
prm%tau1 = config%getFloats('tau1', requiredSize=size(prm%Nslip))
prm%tau1_b = config%getFloats('tau1_b', requiredSize=size(prm%Nslip))
prm%theta0 = config%getFloats('theta0', requiredSize=size(prm%Nslip))
prm%theta1 = config%getFloats('theta1', requiredSize=size(prm%Nslip))
prm%theta0_b = config%getFloats('theta0_b', requiredSize=size(prm%Nslip))
prm%theta1_b = config%getFloats('theta1_b', requiredSize=size(prm%Nslip))
prm%gdot0 = config%getFloat('gdot0')
prm%n = config%getFloat('n_slip')
! expand: family => system
prm%crss0 = math_expand(prm%crss0, prm%Nslip)
prm%tau1 = math_expand(prm%tau1, prm%Nslip)
prm%tau1_b = math_expand(prm%tau1_b, prm%Nslip)
prm%theta0 = math_expand(prm%theta0, prm%Nslip)
prm%theta1 = math_expand(prm%theta1, prm%Nslip)
prm%theta0_b = math_expand(prm%theta0_b,prm%Nslip)
prm%theta1_b = math_expand(prm%theta1_b,prm%Nslip)
!--------------------------------------------------------------------------------------------------
! sanity checks
if ( prm%gdot0 <= 0.0_pReal) extmsg = trim(extmsg)//' gdot0'
if ( prm%n <= 0.0_pReal) extmsg = trim(extmsg)//' n_slip'
if (any(prm%crss0 <= 0.0_pReal)) extmsg = trim(extmsg)//' crss0'
if (any(prm%tau1 <= 0.0_pReal)) extmsg = trim(extmsg)//' tau1'
if (any(prm%tau1_b <= 0.0_pReal)) extmsg = trim(extmsg)//' tau1_b'
!ToDo: Any sensible checks for theta?
endif slipActive
!--------------------------------------------------------------------------------------------------
! exit if any parameter is out of range
if (extmsg /= '') &
call IO_error(211,ext_msg=trim(extmsg)//'('//PLASTICITY_KINEHARDENING_label//')')
!--------------------------------------------------------------------------------------------------
! output pararameters
outputs = config%getStrings('(output)',defaultVal=emptyStringArray)
allocate(prm%outputID(0))
do i=1, size(outputs)
outputID = undefined_ID
select case(outputs(i))
case ('resistance')
outputID = merge(crss_ID,undefined_ID,prm%totalNslip>0)
case ('accumulatedshear')
outputID = merge(accshear_ID,undefined_ID,prm%totalNslip>0)
case ('shearrate')
outputID = merge(shearrate_ID,undefined_ID,prm%totalNslip>0)
case ('resolvedstress')
outputID = merge(resolvedstress_ID,undefined_ID,prm%totalNslip>0)
case ('backstress')
outputID = merge(crss_back_ID,undefined_ID,prm%totalNslip>0)
case ('sense')
outputID = merge(sense_ID,undefined_ID,prm%totalNslip>0)
case ('chi0')
outputID = merge(chi0_ID,undefined_ID,prm%totalNslip>0)
case ('gamma0')
outputID = merge(gamma0_ID,undefined_ID,prm%totalNslip>0)
end select
if (outputID /= undefined_ID) then
prm%outputID = [prm%outputID , outputID]
endif
enddo
!--------------------------------------------------------------------------------------------------
! allocate state arrays
NipcMyPhase = count(material_phaseAt == p) * discretization_nIP
sizeDotState = size(['crss ','crss_back', 'accshear ']) * prm%totalNslip
sizeDeltaState = size(['sense ', 'chi0 ', 'gamma0' ]) * prm%totalNslip
sizeState = sizeDotState + sizeDeltaState
call material_allocatePlasticState(p,NipcMyPhase,sizeState,sizeDotState,sizeDeltaState)
!--------------------------------------------------------------------------------------------------
! locally defined state aliases and initialization of state0 and aTolState
startIndex = 1
endIndex = prm%totalNslip
stt%crss => plasticState(p)%state (startIndex:endIndex,:)
stt%crss = spread(prm%crss0, 2, NipcMyPhase)
dot%crss => plasticState(p)%dotState(startIndex:endIndex,:)
plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolResistance
startIndex = endIndex + 1
endIndex = endIndex + prm%totalNslip
stt%crss_back => plasticState(p)%state (startIndex:endIndex,:)
dot%crss_back => plasticState(p)%dotState(startIndex:endIndex,:)
plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolResistance
startIndex = endIndex + 1
endIndex = endIndex + prm%totalNslip
stt%accshear => plasticState(p)%state (startIndex:endIndex,:)
dot%accshear => plasticState(p)%dotState(startIndex:endIndex,:)
plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolShear
! global alias
plasticState(p)%slipRate => plasticState(p)%dotState(startIndex:endIndex,:)
plasticState(p)%accumulatedSlip => plasticState(p)%state(startIndex:endIndex,:)
o = plasticState(p)%offsetDeltaState
startIndex = endIndex + 1
endIndex = endIndex + prm%totalNslip
stt%sense => plasticState(p)%state (startIndex :endIndex ,:)
dlt%sense => plasticState(p)%deltaState(startIndex-o:endIndex-o,:)
startIndex = endIndex + 1
endIndex = endIndex + prm%totalNslip
stt%chi0 => plasticState(p)%state (startIndex :endIndex ,:)
dlt%chi0 => plasticState(p)%deltaState(startIndex-o:endIndex-o,:)
startIndex = endIndex + 1
endIndex = endIndex + prm%totalNslip
stt%gamma0 => plasticState(p)%state (startIndex :endIndex ,:)
dlt%gamma0 => plasticState(p)%deltaState(startIndex-o:endIndex-o,:)
plasticState(p)%state0 = plasticState(p)%state ! ToDo: this could be done centrally
end associate
enddo
end subroutine plastic_kinehardening_init
!--------------------------------------------------------------------------------------------------
!> @brief calculates plastic velocity gradient and its tangent
!--------------------------------------------------------------------------------------------------
pure module subroutine plastic_kinehardening_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of)
real(pReal), dimension(3,3), intent(out) :: &
Lp !< plastic velocity gradient
real(pReal), dimension(3,3,3,3), intent(out) :: &
dLp_dMp !< derivative of Lp with respect to the Mandel stress
real(pReal), dimension(3,3), intent(in) :: &
Mp !< Mandel stress
integer, intent(in) :: &
instance, &
of
integer :: &
i,k,l,m,n
real(pReal), dimension(param(instance)%totalNslip) :: &
gdot_pos,gdot_neg, &
dgdot_dtau_pos,dgdot_dtau_neg
Lp = 0.0_pReal
dLp_dMp = 0.0_pReal
associate(prm => param(instance))
call kinetics(Mp,instance,of,gdot_pos,gdot_neg,dgdot_dtau_pos,dgdot_dtau_neg)
do i = 1, prm%totalNslip
Lp = Lp + (gdot_pos(i)+gdot_neg(i))*prm%Schmid(1:3,1:3,i)
forall (k=1:3,l=1:3,m=1:3,n=1:3) &
dLp_dMp(k,l,m,n) = dLp_dMp(k,l,m,n) &
+ dgdot_dtau_pos(i) * prm%Schmid(k,l,i) * prm%nonSchmid_pos(m,n,i) &
+ dgdot_dtau_neg(i) * prm%Schmid(k,l,i) * prm%nonSchmid_neg(m,n,i)
enddo
end associate
end subroutine plastic_kinehardening_LpAndItsTangent
!--------------------------------------------------------------------------------------------------
!> @brief calculates the rate of change of microstructure
!--------------------------------------------------------------------------------------------------
module subroutine plastic_kinehardening_dotState(Mp,instance,of)
real(pReal), dimension(3,3), intent(in) :: &
Mp !< Mandel stress
integer, intent(in) :: &
instance, &
of
real(pReal) :: &
sumGamma
real(pReal), dimension(param(instance)%totalNslip) :: &
gdot_pos,gdot_neg
associate(prm => param(instance), stt => state(instance), dot => dotState(instance))
call kinetics(Mp,instance,of,gdot_pos,gdot_neg)
dot%accshear(:,of) = abs(gdot_pos+gdot_neg)
sumGamma = sum(stt%accshear(:,of))
dot%crss(:,of) = matmul(prm%interaction_SlipSlip,dot%accshear(:,of)) &
* ( prm%theta1 &
+ (prm%theta0 - prm%theta1 + prm%theta0*prm%theta1*sumGamma/prm%tau1) &
* exp(-sumGamma*prm%theta0/prm%tau1) &
)
dot%crss_back(:,of) = stt%sense(:,of)*dot%accshear(:,of) * &
( prm%theta1_b + &
(prm%theta0_b - prm%theta1_b &
+ prm%theta0_b*prm%theta1_b/(prm%tau1_b+stt%chi0(:,of))*(stt%accshear(:,of)-stt%gamma0(:,of))&
) *exp(-(stt%accshear(:,of)-stt%gamma0(:,of)) *prm%theta0_b/(prm%tau1_b+stt%chi0(:,of))) &
)
end associate
end subroutine plastic_kinehardening_dotState
!--------------------------------------------------------------------------------------------------
!> @brief calculates (instantaneous) incremental change of microstructure
!--------------------------------------------------------------------------------------------------
module subroutine plastic_kinehardening_deltaState(Mp,instance,of)
real(pReal), dimension(3,3), intent(in) :: &
Mp !< Mandel stress
integer, intent(in) :: &
instance, &
of
real(pReal), dimension(param(instance)%totalNslip) :: &
gdot_pos,gdot_neg, &
sense
associate(prm => param(instance), stt => state(instance), dlt => deltaState(instance))
call kinetics(Mp,instance,of,gdot_pos,gdot_neg)
sense = merge(state(instance)%sense(:,of), & ! keep existing...
sign(1.0_pReal,gdot_pos+gdot_neg), & ! ...or have a defined
dEq0(gdot_pos+gdot_neg,1e-10_pReal)) ! current sense of shear direction
#ifdef DEBUG
if (iand(debug_level(debug_constitutive), debug_levelExtensive) /= 0 &
.and. (of == prm%of_debug &
.or. .not. iand(debug_level(debug_constitutive),debug_levelSelective) /= 0)) then
write(6,'(a)') '======= kinehardening delta state ======='
write(6,*) sense,state(instance)%sense(:,of)
endif
#endif
!--------------------------------------------------------------------------------------------------
! switch in sense of shear?
where(dNeq(sense,stt%sense(:,of),0.1_pReal))
dlt%sense (:,of) = sense - stt%sense(:,of) ! switch sense
dlt%chi0 (:,of) = abs(stt%crss_back(:,of)) - stt%chi0(:,of) ! remember current backstress magnitude
dlt%gamma0(:,of) = stt%accshear(:,of) - stt%gamma0(:,of) ! remember current accumulated shear
else where
dlt%sense (:,of) = 0.0_pReal
dlt%chi0 (:,of) = 0.0_pReal
dlt%gamma0(:,of) = 0.0_pReal
end where
end associate
end subroutine plastic_kinehardening_deltaState
!--------------------------------------------------------------------------------------------------
!> @brief writes results to HDF5 output file
!--------------------------------------------------------------------------------------------------
module subroutine plastic_kinehardening_results(instance,group)
integer, intent(in) :: instance
character(len=*), intent(in) :: group
integer :: o
associate(prm => param(instance), stt => state(instance))
outputsLoop: do o = 1,size(prm%outputID)
select case(prm%outputID(o))
case (crss_ID)
call results_writeDataset(group,stt%crss,'xi_sl', &
'resistance against plastic slip','Pa')
case(crss_back_ID)
call results_writeDataset(group,stt%crss_back,'tau_back', &
'back stress against plastic slip','Pa')
case (sense_ID)
call results_writeDataset(group,stt%sense,'sense_of_shear','tbd','1')
case (chi0_ID)
call results_writeDataset(group,stt%chi0,'chi0','tbd','Pa')
case (gamma0_ID)
call results_writeDataset(group,stt%gamma0,'gamma0','tbd','1')
case (accshear_ID)
call results_writeDataset(group,stt%accshear,'gamma_sl', &
'plastic shear','1')
end select
enddo outputsLoop
end associate
end subroutine plastic_kinehardening_results
!--------------------------------------------------------------------------------------------------
!> @brief calculates shear rates on slip systems and derivatives with respect to resolved stress
!> @details: Shear rates are calculated only optionally.
! NOTE: Against the common convention, the result (i.e. intent(out)) variables are the last to
! have the optional arguments at the end
!--------------------------------------------------------------------------------------------------
pure subroutine kinetics(Mp,instance,of, &
gdot_pos,gdot_neg,dgdot_dtau_pos,dgdot_dtau_neg)
real(pReal), dimension(3,3), intent(in) :: &
Mp !< Mandel stress
integer, intent(in) :: &
instance, &
of
real(pReal), intent(out), dimension(param(instance)%totalNslip) :: &
gdot_pos, &
gdot_neg
real(pReal), intent(out), optional, dimension(param(instance)%totalNslip) :: &
dgdot_dtau_pos, &
dgdot_dtau_neg
real(pReal), dimension(param(instance)%totalNslip) :: &
tau_pos, &
tau_neg
integer :: i
logical :: nonSchmidActive
associate(prm => param(instance), stt => state(instance))
nonSchmidActive = size(prm%nonSchmidCoeff) > 0
do i = 1, prm%totalNslip
tau_pos(i) = math_mul33xx33(Mp,prm%nonSchmid_pos(1:3,1:3,i)) - stt%crss_back(i,of)
tau_neg(i) = merge(math_mul33xx33(Mp,prm%nonSchmid_neg(1:3,1:3,i)) - stt%crss_back(i,of), &
0.0_pReal, nonSchmidActive)
enddo
where(dNeq0(tau_pos))
gdot_pos = prm%gdot0 * merge(0.5_pReal,1.0_pReal, nonSchmidActive) & ! 1/2 if non-Schmid active
* sign(abs(tau_pos/stt%crss(:,of))**prm%n, tau_pos)
else where
gdot_pos = 0.0_pReal
end where
where(dNeq0(tau_neg))
gdot_neg = prm%gdot0 * 0.5_pReal & ! only used if non-Schmid active, always 1/2
* sign(abs(tau_neg/stt%crss(:,of))**prm%n, tau_neg)
else where
gdot_neg = 0.0_pReal
end where
if (present(dgdot_dtau_pos)) then
where(dNeq0(gdot_pos))
dgdot_dtau_pos = gdot_pos*prm%n/tau_pos
else where
dgdot_dtau_pos = 0.0_pReal
end where
endif
if (present(dgdot_dtau_neg)) then
where(dNeq0(gdot_neg))
dgdot_dtau_neg = gdot_neg*prm%n/tau_neg
else where
dgdot_dtau_neg = 0.0_pReal
end where
endif
end associate
end subroutine kinetics
end submodule plastic_kinehardening

View File

@ -4,16 +4,7 @@
!> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH
!> @brief Dummy plasticity for purely elastic material
!--------------------------------------------------------------------------------------------------
module plastic_none
use material
use discretization
use debug
implicit none
private
public :: &
plastic_none_init
submodule(constitutive) plastic_none
contains
@ -21,27 +12,27 @@ contains
!> @brief module initialization
!> @details reads in material parameters, allocates arrays, and does sanity checks
!--------------------------------------------------------------------------------------------------
subroutine plastic_none_init
module subroutine plastic_none_init
integer :: &
Ninstance, &
p, &
NipcMyPhase
write(6,'(/,a)') ' <<<+- plastic_'//PLASTICITY_NONE_label//' init -+>>>'
Ninstance = count(phase_plasticity == PLASTICITY_NONE_ID)
if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) &
write(6,'(a16,1x,i5,/)') '# instances:',Ninstance
do p = 1, size(phase_plasticity)
if (phase_plasticity(p) /= PLASTICITY_NONE_ID) cycle
NipcMyPhase = count(material_phaseAt == p) * discretization_nIP
call material_allocatePlasticState(p,NipcMyPhase,0,0,0)
enddo
integer :: &
Ninstance, &
p, &
NipcMyPhase
write(6,'(/,a)') ' <<<+- plastic_'//PLASTICITY_NONE_label//' init -+>>>'
Ninstance = count(phase_plasticity == PLASTICITY_NONE_ID)
if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) &
write(6,'(a16,1x,i5,/)') '# instances:',Ninstance
do p = 1, size(phase_plasticity)
if (phase_plasticity(p) /= PLASTICITY_NONE_ID) cycle
NipcMyPhase = count(material_phaseAt == p) * discretization_nIP
call material_allocatePlasticState(p,NipcMyPhase,0,0,0)
enddo
end subroutine plastic_none_init
end module plastic_none
end submodule plastic_none

View File

@ -4,18 +4,7 @@
!> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH
!> @brief material subroutine for plasticity including dislocation flux
!--------------------------------------------------------------------------------------------------
module plastic_nonlocal
use prec
use IO
use math
use debug
use material
use lattice
use rotations
use results
use config
use lattice
use discretization
submodule(constitutive) plastic_nonlocal
use geometry_plastic_nonlocal, only: &
nIPneighbors => geometry_plastic_nonlocal_nIPneighbors, &
IPneighborhood => geometry_plastic_nonlocal_IPneighborhood, &
@ -23,11 +12,9 @@ module plastic_nonlocal
IParea => geometry_plastic_nonlocal_IParea0, &
IPareaNormal => geometry_plastic_nonlocal_IPareaNormal0
implicit none
private
real(pReal), parameter :: &
KB = 1.38e-23_pReal !< Physical parameter, Boltzmann constant in J/Kelvin
! storage order of dislocation types
integer, dimension(8), parameter :: &
sgl = [1,2,3,4,5,6,7,8] !< signed (single)
@ -199,25 +186,13 @@ module plastic_nonlocal
type(tNonlocalMicrostructure), dimension(:), allocatable :: microstructure
public :: &
plastic_nonlocal_init, &
plastic_nonlocal_dependentState, &
plastic_nonlocal_LpAndItsTangent, &
plastic_nonlocal_dotState, &
plastic_nonlocal_deltaState, &
plastic_nonlocal_updateCompatibility, &
plastic_nonlocal_results
private :: &
plastic_nonlocal_kinetics
contains
!--------------------------------------------------------------------------------------------------
!> @brief module initialization
!> @details reads in material parameters, allocates arrays, and does sanity checks
!--------------------------------------------------------------------------------------------------
subroutine plastic_nonlocal_init
module subroutine plastic_nonlocal_init
integer :: &
sizeState, sizeDotState,sizeDependentState, sizeDeltaState, &
@ -254,7 +229,6 @@ subroutine plastic_nonlocal_init
allocate(dotState(maxNinstances))
allocate(deltaState(maxNinstances))
allocate(microstructure(maxNinstances))
allocate(totalNslip(maxNinstances), source=0)
@ -738,7 +712,7 @@ end subroutine plastic_nonlocal_init
!--------------------------------------------------------------------------------------------------
!> @brief calculates quantities characterizing the microstructure
!--------------------------------------------------------------------------------------------------
subroutine plastic_nonlocal_dependentState(Fe, Fp, ip, el)
module subroutine plastic_nonlocal_dependentState(Fe, Fp, ip, el)
integer, intent(in) :: &
ip, &
@ -1100,8 +1074,8 @@ end subroutine plastic_nonlocal_kinetics
!--------------------------------------------------------------------------------------------------
!> @brief calculates plastic velocity gradient and its tangent
!--------------------------------------------------------------------------------------------------
subroutine plastic_nonlocal_LpAndItsTangent(Lp, dLp_dMp, &
Mp, Temperature, volume, ip, el)
module subroutine plastic_nonlocal_LpAndItsTangent(Lp, dLp_dMp, &
Mp, Temperature, volume, ip, el)
integer, intent(in) :: &
ip, & !< current integration point
@ -1230,7 +1204,7 @@ end subroutine plastic_nonlocal_LpAndItsTangent
!--------------------------------------------------------------------------------------------------
!> @brief (instantaneous) incremental change of microstructure
!--------------------------------------------------------------------------------------------------
subroutine plastic_nonlocal_deltaState(Mp,ip,el)
module subroutine plastic_nonlocal_deltaState(Mp,ip,el)
integer, intent(in) :: &
ip, &
@ -1346,8 +1320,8 @@ end subroutine plastic_nonlocal_deltaState
!---------------------------------------------------------------------------------------------------
!> @brief calculates the rate of change of microstructure
!---------------------------------------------------------------------------------------------------
subroutine plastic_nonlocal_dotState(Mp, Fe, Fp, Temperature, &
timestep,ip,el)
module subroutine plastic_nonlocal_dotState(Mp, Fe, Fp, Temperature, &
timestep,ip,el)
integer, intent(in) :: &
ip, & !< current integration point
@ -1795,13 +1769,13 @@ end subroutine plastic_nonlocal_dotState
! 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.
!--------------------------------------------------------------------------------------------------
subroutine plastic_nonlocal_updateCompatibility(orientation,i,e)
module subroutine plastic_nonlocal_updateCompatibility(orientation,i,e)
integer, intent(in) :: &
i, &
e
type(rotation), dimension(1,discretization_nIP,discretization_nElem), intent(in) :: &
orientation ! crystal orientation in quaternions
orientation ! crystal orientation
integer :: &
Nneighbors, & ! number of neighbors
@ -1960,10 +1934,10 @@ end function getRho
!--------------------------------------------------------------------------------------------------
!> @brief writes results to HDF5 output file
!--------------------------------------------------------------------------------------------------
subroutine plastic_nonlocal_results(instance,group)
module subroutine plastic_nonlocal_results(instance,group)
integer, intent(in) :: instance
character(len=*) :: group
integer, intent(in) :: instance
character(len=*),intent(in) :: group
integer :: o
associate(prm => param(instance),dst => microstructure(instance),stt=>state(instance))
@ -2026,4 +2000,4 @@ subroutine plastic_nonlocal_results(instance,group)
end subroutine plastic_nonlocal_results
end module plastic_nonlocal
end submodule plastic_nonlocal

View File

@ -0,0 +1,596 @@
!--------------------------------------------------------------------------------------------------
!> @author Franz Roters, Max-Planck-Institut für Eisenforschung GmbH
!> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH
!> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH
!> @brief phenomenological crystal plasticity formulation using a powerlaw fitting
!--------------------------------------------------------------------------------------------------
submodule(constitutive) plastic_phenopowerlaw
enum, bind(c)
enumerator :: &
undefined_ID, &
resistance_slip_ID, &
accumulatedshear_slip_ID, &
shearrate_slip_ID, &
resolvedstress_slip_ID, &
resistance_twin_ID, &
accumulatedshear_twin_ID, &
shearrate_twin_ID, &
resolvedstress_twin_ID
end enum
type :: tParameters
real(pReal) :: &
gdot0_slip, & !< reference shear strain rate for slip
gdot0_twin, & !< reference shear strain rate for twin
n_slip, & !< stress exponent for slip
n_twin, & !< stress exponent for twin
spr, & !< push-up factor for slip saturation due to twinning
c_1, &
c_2, &
c_3, &
c_4, &
h0_SlipSlip, & !< reference hardening slip - slip
h0_TwinSlip, & !< reference hardening twin - slip
h0_TwinTwin, & !< reference hardening twin - twin
a_slip, &
aTolResistance, & !< absolute tolerance for integration of xi
aTolShear, & !< absolute tolerance for integration of gamma
aTolTwinfrac !< absolute tolerance for integration of f
real(pReal), allocatable, dimension(:) :: &
xi_slip_0, & !< initial critical shear stress for slip
xi_twin_0, & !< initial critical shear stress for twin
xi_slip_sat, & !< maximum critical shear stress for slip
nonSchmidCoeff, &
H_int, & !< per family hardening activity (optional)
gamma_twin_char !< characteristic shear for twins
real(pReal), allocatable, dimension(:,:) :: &
interaction_SlipSlip, & !< slip resistance from slip activity
interaction_SlipTwin, & !< slip resistance from twin activity
interaction_TwinSlip, & !< twin resistance from slip activity
interaction_TwinTwin !< twin resistance from twin activity
real(pReal), allocatable, dimension(:,:,:) :: &
Schmid_slip, &
Schmid_twin, &
nonSchmid_pos, &
nonSchmid_neg
integer :: &
totalNslip, & !< total number of active slip system
totalNtwin !< total number of active twin systems
integer, allocatable, dimension(:) :: &
Nslip, & !< number of active slip systems for each family
Ntwin !< number of active twin systems for each family
integer(kind(undefined_ID)), allocatable, dimension(:) :: &
outputID !< ID of each post result output
end type tParameters
type :: tPhenopowerlawState
real(pReal), pointer, dimension(:,:) :: &
xi_slip, &
xi_twin, &
gamma_slip, &
gamma_twin
end type tPhenopowerlawState
!--------------------------------------------------------------------------------------------------
! containers for parameters and state
type(tParameters), allocatable, dimension(:) :: param
type(tPhenopowerlawState), allocatable, dimension(:) :: &
dotState, &
state
contains
!--------------------------------------------------------------------------------------------------
!> @brief module initialization
!> @details reads in material parameters, allocates arrays, and does sanity checks
!--------------------------------------------------------------------------------------------------
module subroutine plastic_phenopowerlaw_init
integer :: &
Ninstance, &
p, i, &
NipcMyPhase, outputSize, &
sizeState, sizeDotState, &
startIndex, endIndex
integer(kind(undefined_ID)) :: &
outputID
character(len=pStringLen) :: &
extmsg = ''
character(len=pStringLen), dimension(:), allocatable :: &
outputs
write(6,'(/,a)') ' <<<+- plastic_'//PLASTICITY_PHENOPOWERLAW_label//' init -+>>>'
Ninstance = count(phase_plasticity == PLASTICITY_PHENOPOWERLAW_ID)
if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) &
write(6,'(a16,1x,i5,/)') '# instances:',Ninstance
allocate(param(Ninstance))
allocate(state(Ninstance))
allocate(dotState(Ninstance))
do p = 1, size(phase_plasticity)
if (phase_plasticity(p) /= PLASTICITY_PHENOPOWERLAW_ID) cycle
associate(prm => param(phase_plasticityInstance(p)), &
dot => dotState(phase_plasticityInstance(p)), &
stt => state(phase_plasticityInstance(p)), &
config => config_phase(p))
!--------------------------------------------------------------------------------------------------
! optional parameters that need to be defined
prm%c_1 = config%getFloat('twin_c',defaultVal=0.0_pReal)
prm%c_2 = config%getFloat('twin_b',defaultVal=1.0_pReal)
prm%c_3 = config%getFloat('twin_e',defaultVal=0.0_pReal)
prm%c_4 = config%getFloat('twin_d',defaultVal=0.0_pReal)
prm%aTolResistance = config%getFloat('atol_resistance',defaultVal=1.0_pReal)
prm%aTolShear = config%getFloat('atol_shear', defaultVal=1.0e-6_pReal)
prm%aTolTwinfrac = config%getFloat('atol_twinfrac', defaultVal=1.0e-6_pReal)
! sanity checks
if (prm%aTolResistance <= 0.0_pReal) extmsg = trim(extmsg)//' aTolresistance'
if (prm%aTolShear <= 0.0_pReal) extmsg = trim(extmsg)//' aTolShear'
if (prm%aTolTwinfrac <= 0.0_pReal) extmsg = trim(extmsg)//' atoltwinfrac'
!--------------------------------------------------------------------------------------------------
! slip related parameters
prm%Nslip = config%getInts('nslip',defaultVal=emptyIntArray)
prm%totalNslip = sum(prm%Nslip)
slipActive: if (prm%totalNslip > 0) then
prm%Schmid_slip = lattice_SchmidMatrix_slip(prm%Nslip,config%getString('lattice_structure'),&
config%getFloat('c/a',defaultVal=0.0_pReal))
if(trim(config%getString('lattice_structure')) == 'bcc') then
prm%nonSchmidCoeff = config%getFloats('nonschmid_coefficients',&
defaultVal = emptyRealArray)
prm%nonSchmid_pos = lattice_nonSchmidMatrix(prm%Nslip,prm%nonSchmidCoeff,+1)
prm%nonSchmid_neg = lattice_nonSchmidMatrix(prm%Nslip,prm%nonSchmidCoeff,-1)
else
allocate(prm%nonSchmidCoeff(0))
prm%nonSchmid_pos = prm%Schmid_slip
prm%nonSchmid_neg = prm%Schmid_slip
endif
prm%interaction_SlipSlip = lattice_interaction_SlipBySlip(prm%Nslip, &
config%getFloats('interaction_slipslip'), &
config%getString('lattice_structure'))
prm%xi_slip_0 = config%getFloats('tau0_slip', requiredSize=size(prm%Nslip))
prm%xi_slip_sat = config%getFloats('tausat_slip', requiredSize=size(prm%Nslip))
prm%H_int = config%getFloats('h_int', requiredSize=size(prm%Nslip), &
defaultVal=[(0.0_pReal,i=1,size(prm%Nslip))])
prm%gdot0_slip = config%getFloat('gdot0_slip')
prm%n_slip = config%getFloat('n_slip')
prm%a_slip = config%getFloat('a_slip')
prm%h0_SlipSlip = config%getFloat('h0_slipslip')
! expand: family => system
prm%xi_slip_0 = math_expand(prm%xi_slip_0, prm%Nslip)
prm%xi_slip_sat = math_expand(prm%xi_slip_sat,prm%Nslip)
prm%H_int = math_expand(prm%H_int, prm%Nslip)
! sanity checks
if ( prm%gdot0_slip <= 0.0_pReal) extmsg = trim(extmsg)//' gdot0_slip'
if ( prm%a_slip <= 0.0_pReal) extmsg = trim(extmsg)//' a_slip'
if ( prm%n_slip <= 0.0_pReal) extmsg = trim(extmsg)//' n_slip'
if (any(prm%xi_slip_0 <= 0.0_pReal)) extmsg = trim(extmsg)//' xi_slip_0'
if (any(prm%xi_slip_sat <= 0.0_pReal)) extmsg = trim(extmsg)//' xi_slip_sat'
else slipActive
allocate(prm%interaction_SlipSlip(0,0))
allocate(prm%xi_slip_0(0))
endif slipActive
!--------------------------------------------------------------------------------------------------
! twin related parameters
prm%Ntwin = config%getInts('ntwin', defaultVal=emptyIntArray)
prm%totalNtwin = sum(prm%Ntwin)
twinActive: if (prm%totalNtwin > 0) then
prm%Schmid_twin = lattice_SchmidMatrix_twin(prm%Ntwin,config%getString('lattice_structure'),&
config%getFloat('c/a',defaultVal=0.0_pReal))
prm%interaction_TwinTwin = lattice_interaction_TwinByTwin(prm%Ntwin,&
config%getFloats('interaction_twintwin'), &
config%getString('lattice_structure'))
prm%gamma_twin_char = lattice_characteristicShear_twin(prm%Ntwin,config%getString('lattice_structure'),&
config%getFloat('c/a'))
prm%xi_twin_0 = config%getFloats('tau0_twin',requiredSize=size(prm%Ntwin))
prm%gdot0_twin = config%getFloat('gdot0_twin')
prm%n_twin = config%getFloat('n_twin')
prm%spr = config%getFloat('s_pr')
prm%h0_TwinTwin = config%getFloat('h0_twintwin')
! expand: family => system
prm%xi_twin_0 = math_expand(prm%xi_twin_0, prm%Ntwin)
! sanity checks
if (prm%gdot0_twin <= 0.0_pReal) extmsg = trim(extmsg)//' gdot0_twin'
if (prm%n_twin <= 0.0_pReal) extmsg = trim(extmsg)//' n_twin'
else twinActive
allocate(prm%interaction_TwinTwin(0,0))
allocate(prm%xi_twin_0(0))
allocate(prm%gamma_twin_char(0))
endif twinActive
!--------------------------------------------------------------------------------------------------
! slip-twin related parameters
slipAndTwinActive: if (prm%totalNslip > 0 .and. prm%totalNtwin > 0) then
prm%h0_TwinSlip = config%getFloat('h0_twinslip')
prm%interaction_SlipTwin = lattice_interaction_SlipByTwin(prm%Nslip,prm%Ntwin,&
config%getFloats('interaction_sliptwin'), &
config%getString('lattice_structure'))
prm%interaction_TwinSlip = lattice_interaction_TwinBySlip(prm%Ntwin,prm%Nslip,&
config%getFloats('interaction_twinslip'), &
config%getString('lattice_structure'))
else slipAndTwinActive
allocate(prm%interaction_SlipTwin(prm%TotalNslip,prm%TotalNtwin)) ! at least one dimension is 0
allocate(prm%interaction_TwinSlip(prm%TotalNtwin,prm%TotalNslip)) ! at least one dimension is 0
prm%h0_TwinSlip = 0.0_pReal
endif slipAndTwinActive
!--------------------------------------------------------------------------------------------------
! exit if any parameter is out of range
if (extmsg /= '') &
call IO_error(211,ext_msg=trim(extmsg)//'('//PLASTICITY_PHENOPOWERLAW_label//')')
!--------------------------------------------------------------------------------------------------
! output pararameters
outputs = config%getStrings('(output)',defaultVal=emptyStringArray)
allocate(prm%outputID(0))
do i=1, size(outputs)
outputID = undefined_ID
select case(outputs(i))
case ('resistance_slip')
outputID = merge(resistance_slip_ID,undefined_ID,prm%totalNslip>0)
outputSize = prm%totalNslip
case ('accumulatedshear_slip')
outputID = merge(accumulatedshear_slip_ID,undefined_ID,prm%totalNslip>0)
outputSize = prm%totalNslip
case ('shearrate_slip')
outputID = merge(shearrate_slip_ID,undefined_ID,prm%totalNslip>0)
outputSize = prm%totalNslip
case ('resolvedstress_slip')
outputID = merge(resolvedstress_slip_ID,undefined_ID,prm%totalNslip>0)
outputSize = prm%totalNslip
case ('resistance_twin')
outputID = merge(resistance_twin_ID,undefined_ID,prm%totalNtwin>0)
outputSize = prm%totalNtwin
case ('accumulatedshear_twin')
outputID = merge(accumulatedshear_twin_ID,undefined_ID,prm%totalNtwin>0)
outputSize = prm%totalNtwin
case ('shearrate_twin')
outputID = merge(shearrate_twin_ID,undefined_ID,prm%totalNtwin>0)
outputSize = prm%totalNtwin
case ('resolvedstress_twin')
outputID = merge(resolvedstress_twin_ID,undefined_ID,prm%totalNtwin>0)
outputSize = prm%totalNtwin
end select
if (outputID /= undefined_ID) then
prm%outputID = [prm%outputID, outputID]
endif
enddo
!--------------------------------------------------------------------------------------------------
! allocate state arrays
NipcMyPhase = count(material_phaseAt == p) * discretization_nIP
sizeDotState = size(['tau_slip ','gamma_slip']) * prm%totalNslip &
+ size(['tau_twin ','gamma_twin']) * prm%totalNtwin
sizeState = sizeDotState
call material_allocatePlasticState(p,NipcMyPhase,sizeState,sizeDotState,0)
!--------------------------------------------------------------------------------------------------
! locally defined state aliases and initialization of state0 and aTolState
startIndex = 1
endIndex = prm%totalNslip
stt%xi_slip => plasticState(p)%state (startIndex:endIndex,:)
stt%xi_slip = spread(prm%xi_slip_0, 2, NipcMyPhase)
dot%xi_slip => plasticState(p)%dotState(startIndex:endIndex,:)
plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolResistance
startIndex = endIndex + 1
endIndex = endIndex + prm%totalNtwin
stt%xi_twin => plasticState(p)%state (startIndex:endIndex,:)
stt%xi_twin = spread(prm%xi_twin_0, 2, NipcMyPhase)
dot%xi_twin => plasticState(p)%dotState(startIndex:endIndex,:)
plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolResistance
startIndex = endIndex + 1
endIndex = endIndex + prm%totalNslip
stt%gamma_slip => plasticState(p)%state (startIndex:endIndex,:)
dot%gamma_slip => plasticState(p)%dotState(startIndex:endIndex,:)
plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolShear
! global alias
plasticState(p)%slipRate => plasticState(p)%dotState(startIndex:endIndex,:)
plasticState(p)%accumulatedSlip => plasticState(p)%state(startIndex:endIndex,:)
startIndex = endIndex + 1
endIndex = endIndex + prm%totalNtwin
stt%gamma_twin => plasticState(p)%state (startIndex:endIndex,:)
dot%gamma_twin => plasticState(p)%dotState(startIndex:endIndex,:)
plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolShear
plasticState(p)%state0 = plasticState(p)%state ! ToDo: this could be done centrally
end associate
enddo
end subroutine plastic_phenopowerlaw_init
!--------------------------------------------------------------------------------------------------
!> @brief calculates plastic velocity gradient and its tangent
!> @details asummes that deformation by dislocation glide affects twinned and untwinned volume
! equally (Taylor assumption). Twinning happens only in untwinned volume
!--------------------------------------------------------------------------------------------------
pure module subroutine plastic_phenopowerlaw_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of)
real(pReal), dimension(3,3), intent(out) :: &
Lp !< plastic velocity gradient
real(pReal), dimension(3,3,3,3), intent(out) :: &
dLp_dMp !< derivative of Lp with respect to the Mandel stress
real(pReal), dimension(3,3), intent(in) :: &
Mp !< Mandel stress
integer, intent(in) :: &
instance, &
of
integer :: &
i,k,l,m,n
real(pReal), dimension(param(instance)%totalNslip) :: &
gdot_slip_pos,gdot_slip_neg, &
dgdot_dtauslip_pos,dgdot_dtauslip_neg
real(pReal), dimension(param(instance)%totalNtwin) :: &
gdot_twin,dgdot_dtautwin
Lp = 0.0_pReal
dLp_dMp = 0.0_pReal
associate(prm => param(instance))
call kinetics_slip(Mp,instance,of,gdot_slip_pos,gdot_slip_neg,dgdot_dtauslip_pos,dgdot_dtauslip_neg)
slipSystems: do i = 1, prm%totalNslip
Lp = Lp + (gdot_slip_pos(i)+gdot_slip_neg(i))*prm%Schmid_slip(1:3,1:3,i)
forall (k=1:3,l=1:3,m=1:3,n=1:3) &
dLp_dMp(k,l,m,n) = dLp_dMp(k,l,m,n) &
+ dgdot_dtauslip_pos(i) * prm%Schmid_slip(k,l,i) * prm%nonSchmid_pos(m,n,i) &
+ dgdot_dtauslip_neg(i) * prm%Schmid_slip(k,l,i) * prm%nonSchmid_neg(m,n,i)
enddo slipSystems
call kinetics_twin(Mp,instance,of,gdot_twin,dgdot_dtautwin)
twinSystems: do i = 1, prm%totalNtwin
Lp = Lp + gdot_twin(i)*prm%Schmid_twin(1:3,1:3,i)
forall (k=1:3,l=1:3,m=1:3,n=1:3) &
dLp_dMp(k,l,m,n) = dLp_dMp(k,l,m,n) &
+ dgdot_dtautwin(i)*prm%Schmid_twin(k,l,i)*prm%Schmid_twin(m,n,i)
enddo twinSystems
end associate
end subroutine plastic_phenopowerlaw_LpAndItsTangent
!--------------------------------------------------------------------------------------------------
!> @brief calculates the rate of change of microstructure
!--------------------------------------------------------------------------------------------------
module subroutine plastic_phenopowerlaw_dotState(Mp,instance,of)
real(pReal), dimension(3,3), intent(in) :: &
Mp !< Mandel stress
integer, intent(in) :: &
instance, &
of
real(pReal) :: &
c_SlipSlip,c_TwinSlip,c_TwinTwin, &
xi_slip_sat_offset,&
sumGamma,sumF
real(pReal), dimension(param(instance)%totalNslip) :: &
left_SlipSlip,right_SlipSlip, &
gdot_slip_pos,gdot_slip_neg
associate(prm => param(instance), stt => state(instance), dot => dotState(instance))
sumGamma = sum(stt%gamma_slip(:,of))
sumF = sum(stt%gamma_twin(:,of)/prm%gamma_twin_char)
!--------------------------------------------------------------------------------------------------
! system-independent (nonlinear) prefactors to M_Xx (X influenced by x) matrices
c_SlipSlip = prm%h0_slipslip * (1.0_pReal + prm%c_1*sumF** prm%c_2)
c_TwinSlip = prm%h0_TwinSlip * sumGamma**prm%c_3
c_TwinTwin = prm%h0_TwinTwin * sumF**prm%c_4
!--------------------------------------------------------------------------------------------------
! calculate left and right vectors
left_SlipSlip = 1.0_pReal + prm%H_int
xi_slip_sat_offset = prm%spr*sqrt(sumF)
right_SlipSlip = abs(1.0_pReal-stt%xi_slip(:,of) / (prm%xi_slip_sat+xi_slip_sat_offset)) **prm%a_slip &
* sign(1.0_pReal,1.0_pReal-stt%xi_slip(:,of) / (prm%xi_slip_sat+xi_slip_sat_offset))
!--------------------------------------------------------------------------------------------------
! shear rates
call kinetics_slip(Mp,instance,of,gdot_slip_pos,gdot_slip_neg)
dot%gamma_slip(:,of) = abs(gdot_slip_pos+gdot_slip_neg)
call kinetics_twin(Mp,instance,of,dot%gamma_twin(:,of))
!--------------------------------------------------------------------------------------------------
! hardening
dot%xi_slip(:,of) = c_SlipSlip * left_SlipSlip * &
matmul(prm%interaction_SlipSlip,dot%gamma_slip(:,of)*right_SlipSlip) &
+ matmul(prm%interaction_SlipTwin,dot%gamma_twin(:,of))
dot%xi_twin(:,of) = c_TwinSlip * matmul(prm%interaction_TwinSlip,dot%gamma_slip(:,of)) &
+ c_TwinTwin * matmul(prm%interaction_TwinTwin,dot%gamma_twin(:,of))
end associate
end subroutine plastic_phenopowerlaw_dotState
!--------------------------------------------------------------------------------------------------
!> @brief writes results to HDF5 output file
!--------------------------------------------------------------------------------------------------
module subroutine plastic_phenopowerlaw_results(instance,group)
integer, intent(in) :: instance
character(len=*), intent(in) :: group
integer :: o
associate(prm => param(instance), stt => state(instance))
outputsLoop: do o = 1,size(prm%outputID)
select case(prm%outputID(o))
case (resistance_slip_ID)
call results_writeDataset(group,stt%xi_slip, 'xi_sl', &
'resistance against plastic slip','Pa')
case (accumulatedshear_slip_ID)
call results_writeDataset(group,stt%gamma_slip,'gamma_sl', &
'plastic shear','1')
case (resistance_twin_ID)
call results_writeDataset(group,stt%xi_twin, 'xi_tw', &
'resistance against twinning','Pa')
case (accumulatedshear_twin_ID)
call results_writeDataset(group,stt%gamma_twin,'gamma_tw', &
'twinning shear','1')
end select
enddo outputsLoop
end associate
end subroutine plastic_phenopowerlaw_results
!--------------------------------------------------------------------------------------------------
!> @brief Shear rates on slip systems and their derivatives with respect to resolved stress
!> @details Derivatives are calculated only optionally.
! NOTE: Against the common convention, the result (i.e. intent(out)) variables are the last to
! have the optional arguments at the end
!--------------------------------------------------------------------------------------------------
pure subroutine kinetics_slip(Mp,instance,of, &
gdot_slip_pos,gdot_slip_neg,dgdot_dtau_slip_pos,dgdot_dtau_slip_neg)
real(pReal), dimension(3,3), intent(in) :: &
Mp !< Mandel stress
integer, intent(in) :: &
instance, &
of
real(pReal), intent(out), dimension(param(instance)%totalNslip) :: &
gdot_slip_pos, &
gdot_slip_neg
real(pReal), intent(out), optional, dimension(param(instance)%totalNslip) :: &
dgdot_dtau_slip_pos, &
dgdot_dtau_slip_neg
real(pReal), dimension(param(instance)%totalNslip) :: &
tau_slip_pos, &
tau_slip_neg
integer :: i
logical :: nonSchmidActive
associate(prm => param(instance), stt => state(instance))
nonSchmidActive = size(prm%nonSchmidCoeff) > 0
do i = 1, prm%totalNslip
tau_slip_pos(i) = math_mul33xx33(Mp,prm%nonSchmid_pos(1:3,1:3,i))
tau_slip_neg(i) = merge(math_mul33xx33(Mp,prm%nonSchmid_neg(1:3,1:3,i)), &
0.0_pReal, nonSchmidActive)
enddo
where(dNeq0(tau_slip_pos))
gdot_slip_pos = prm%gdot0_slip * merge(0.5_pReal,1.0_pReal, nonSchmidActive) & ! 1/2 if non-Schmid active
* sign(abs(tau_slip_pos/stt%xi_slip(:,of))**prm%n_slip, tau_slip_pos)
else where
gdot_slip_pos = 0.0_pReal
end where
where(dNeq0(tau_slip_neg))
gdot_slip_neg = prm%gdot0_slip * 0.5_pReal & ! only used if non-Schmid active, always 1/2
* sign(abs(tau_slip_neg/stt%xi_slip(:,of))**prm%n_slip, tau_slip_neg)
else where
gdot_slip_neg = 0.0_pReal
end where
if (present(dgdot_dtau_slip_pos)) then
where(dNeq0(gdot_slip_pos))
dgdot_dtau_slip_pos = gdot_slip_pos*prm%n_slip/tau_slip_pos
else where
dgdot_dtau_slip_pos = 0.0_pReal
end where
endif
if (present(dgdot_dtau_slip_neg)) then
where(dNeq0(gdot_slip_neg))
dgdot_dtau_slip_neg = gdot_slip_neg*prm%n_slip/tau_slip_neg
else where
dgdot_dtau_slip_neg = 0.0_pReal
end where
endif
end associate
end subroutine kinetics_slip
!--------------------------------------------------------------------------------------------------
!> @brief Shear rates on twin systems and their derivatives with respect to resolved stress.
! twinning is assumed to take place only in untwinned volume.
!> @details Derivates are calculated only optionally.
! NOTE: Against the common convention, the result (i.e. intent(out)) variables are the last to
! have the optional arguments at the end.
!--------------------------------------------------------------------------------------------------
pure subroutine kinetics_twin(Mp,instance,of,&
gdot_twin,dgdot_dtau_twin)
real(pReal), dimension(3,3), intent(in) :: &
Mp !< Mandel stress
integer, intent(in) :: &
instance, &
of
real(pReal), dimension(param(instance)%totalNtwin), intent(out) :: &
gdot_twin
real(pReal), dimension(param(instance)%totalNtwin), intent(out), optional :: &
dgdot_dtau_twin
real(pReal), dimension(param(instance)%totalNtwin) :: &
tau_twin
integer :: i
associate(prm => param(instance), stt => state(instance))
do i = 1, prm%totalNtwin
tau_twin(i) = math_mul33xx33(Mp,prm%Schmid_twin(1:3,1:3,i))
enddo
where(tau_twin > 0.0_pReal)
gdot_twin = (1.0_pReal-sum(stt%gamma_twin(:,of)/prm%gamma_twin_char)) & ! only twin in untwinned volume fraction
* prm%gdot0_twin*(abs(tau_twin)/stt%xi_twin(:,of))**prm%n_twin
else where
gdot_twin = 0.0_pReal
end where
if (present(dgdot_dtau_twin)) then
where(dNeq0(gdot_twin))
dgdot_dtau_twin = gdot_twin*prm%n_twin/tau_twin
else where
dgdot_dtau_twin = 0.0_pReal
end where
endif
end associate
end subroutine kinetics_twin
end submodule plastic_phenopowerlaw

View File

@ -21,7 +21,6 @@ module crystallite
use constitutive
use discretization
use lattice
use plastic_nonlocal
use results
implicit none

View File

@ -160,7 +160,7 @@ subroutine homogenization_init
allocate(materialpoint_converged(discretization_nIP,discretization_nElem), source=.true.)
allocate(materialpoint_doneAndHappy(2,discretization_nIP,discretization_nElem), source=.true.)
write(6,'(/,a)') ' <<<+- homogenization init -+>>>'; flush(6)
write(6,'(/,a)') ' <<<+- homogenization init -+>>>'; flush(6)
if (iand(debug_level(debug_homogenization), debug_levelBasic) /= 0) then
write(6,'(a32,1x,7(i8,1x))') 'materialpoint_dPdF: ', shape(materialpoint_dPdF)

File diff suppressed because it is too large Load Diff

View File

@ -1,541 +0,0 @@
!--------------------------------------------------------------------------------------------------
!> @author Philip Eisenlohr, Michigan State University
!> @author Zhuowen Zhao, Michigan State University
!> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH
!> @brief Phenomenological crystal plasticity using a power law formulation for the shear rates
!! and a Voce-type kinematic hardening rule
!--------------------------------------------------------------------------------------------------
module plastic_kinehardening
use prec
use debug
use math
use IO
use material
use config
use lattice
use discretization
use results
implicit none
private
enum, bind(c)
enumerator :: &
undefined_ID, &
crss_ID, & !< critical resolved stress
crss_back_ID, & !< critical resolved back stress
sense_ID, & !< sense of acting shear stress (-1 or +1)
chi0_ID, & !< backstress at last switch of stress sense (positive?)
gamma0_ID, & !< accumulated shear at last switch of stress sense (at current switch?)
accshear_ID, &
shearrate_ID, &
resolvedstress_ID
end enum
type :: tParameters
real(pReal) :: &
gdot0, & !< reference shear strain rate for slip
n, & !< stress exponent for slip
aTolResistance, &
aTolShear
real(pReal), allocatable, dimension(:) :: &
crss0, & !< initial critical shear stress for slip
theta0, & !< initial hardening rate of forward stress for each slip
theta1, & !< asymptotic hardening rate of forward stress for each slip
theta0_b, & !< initial hardening rate of back stress for each slip
theta1_b, & !< asymptotic hardening rate of back stress for each slip
tau1, &
tau1_b, &
nonSchmidCoeff
real(pReal), allocatable, dimension(:,:) :: &
interaction_slipslip !< slip resistance from slip activity
real(pReal), allocatable, dimension(:,:,:) :: &
Schmid, &
nonSchmid_pos, &
nonSchmid_neg
integer :: &
totalNslip, & !< total number of active slip system
of_debug = 0
integer, allocatable, dimension(:) :: &
Nslip !< number of active slip systems for each family
integer(kind(undefined_ID)), allocatable, dimension(:) :: &
outputID !< ID of each post result output
end type tParameters
type :: tKinehardeningState
real(pReal), pointer, dimension(:,:) :: & !< vectors along NipcMyInstance
crss, & !< critical resolved stress
crss_back, & !< critical resolved back stress
sense, & !< sense of acting shear stress (-1 or +1)
chi0, & !< backstress at last switch of stress sense
gamma0, & !< accumulated shear at last switch of stress sense
accshear !< accumulated (absolute) shear
end type tKinehardeningState
!--------------------------------------------------------------------------------------------------
! containers for parameters and state
type(tParameters), allocatable, dimension(:) :: param
type(tKinehardeningState), allocatable, dimension(:) :: &
dotState, &
deltaState, &
state
public :: &
plastic_kinehardening_init, &
plastic_kinehardening_LpAndItsTangent, &
plastic_kinehardening_dotState, &
plastic_kinehardening_deltaState, &
plastic_kinehardening_results
contains
!--------------------------------------------------------------------------------------------------
!> @brief module initialization
!> @details reads in material parameters, allocates arrays, and does sanity checks
!--------------------------------------------------------------------------------------------------
subroutine plastic_kinehardening_init
integer :: &
Ninstance, &
p, i, o, &
NipcMyPhase, &
sizeState, sizeDeltaState, sizeDotState, &
startIndex, endIndex
integer(kind(undefined_ID)) :: &
outputID
character(len=pStringLen) :: &
extmsg = ''
character(len=pStringLen), dimension(:), allocatable :: &
outputs
write(6,'(/,a)') ' <<<+- plastic_'//PLASTICITY_KINEHARDENING_label//' init -+>>>'
Ninstance = count(phase_plasticity == PLASTICITY_KINEHARDENING_ID)
if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) &
write(6,'(a16,1x,i5,/)') '# instances:',Ninstance
allocate(param(Ninstance))
allocate(state(Ninstance))
allocate(dotState(Ninstance))
allocate(deltaState(Ninstance))
do p = 1, size(phase_plasticityInstance)
if (phase_plasticity(p) /= PLASTICITY_KINEHARDENING_ID) cycle
associate(prm => param(phase_plasticityInstance(p)), &
dot => dotState(phase_plasticityInstance(p)), &
dlt => deltaState(phase_plasticityInstance(p)), &
stt => state(phase_plasticityInstance(p)),&
config => config_phase(p))
#ifdef DEBUG
if (p==material_phaseAt(debug_g,debug_e)) then
prm%of_debug = material_phasememberAt(debug_g,debug_i,debug_e)
endif
#endif
!--------------------------------------------------------------------------------------------------
! optional parameters that need to be defined
prm%aTolResistance = config%getFloat('atol_resistance',defaultVal=1.0_pReal)
prm%aTolShear = config%getFloat('atol_shear', defaultVal=1.0e-6_pReal)
! sanity checks
if (prm%aTolResistance <= 0.0_pReal) extmsg = trim(extmsg)//' aTolresistance'
if (prm%aTolShear <= 0.0_pReal) extmsg = trim(extmsg)//' aTolShear'
!--------------------------------------------------------------------------------------------------
! slip related parameters
prm%Nslip = config%getInts('nslip',defaultVal=emptyIntArray)
prm%totalNslip = sum(prm%Nslip)
slipActive: if (prm%totalNslip > 0) then
prm%Schmid = lattice_SchmidMatrix_slip(prm%Nslip,config%getString('lattice_structure'),&
config%getFloat('c/a',defaultVal=0.0_pReal))
if(trim(config%getString('lattice_structure')) == 'bcc') then
prm%nonSchmidCoeff = config%getFloats('nonschmid_coefficients',&
defaultVal = emptyRealArray)
prm%nonSchmid_pos = lattice_nonSchmidMatrix(prm%Nslip,prm%nonSchmidCoeff,+1)
prm%nonSchmid_neg = lattice_nonSchmidMatrix(prm%Nslip,prm%nonSchmidCoeff,-1)
else
prm%nonSchmid_pos = prm%Schmid
prm%nonSchmid_neg = prm%Schmid
endif
prm%interaction_SlipSlip = lattice_interaction_SlipBySlip(prm%Nslip, &
config%getFloats('interaction_slipslip'), &
config%getString('lattice_structure'))
prm%crss0 = config%getFloats('crss0', requiredSize=size(prm%Nslip))
prm%tau1 = config%getFloats('tau1', requiredSize=size(prm%Nslip))
prm%tau1_b = config%getFloats('tau1_b', requiredSize=size(prm%Nslip))
prm%theta0 = config%getFloats('theta0', requiredSize=size(prm%Nslip))
prm%theta1 = config%getFloats('theta1', requiredSize=size(prm%Nslip))
prm%theta0_b = config%getFloats('theta0_b', requiredSize=size(prm%Nslip))
prm%theta1_b = config%getFloats('theta1_b', requiredSize=size(prm%Nslip))
prm%gdot0 = config%getFloat('gdot0')
prm%n = config%getFloat('n_slip')
! expand: family => system
prm%crss0 = math_expand(prm%crss0, prm%Nslip)
prm%tau1 = math_expand(prm%tau1, prm%Nslip)
prm%tau1_b = math_expand(prm%tau1_b, prm%Nslip)
prm%theta0 = math_expand(prm%theta0, prm%Nslip)
prm%theta1 = math_expand(prm%theta1, prm%Nslip)
prm%theta0_b = math_expand(prm%theta0_b,prm%Nslip)
prm%theta1_b = math_expand(prm%theta1_b,prm%Nslip)
!--------------------------------------------------------------------------------------------------
! sanity checks
if ( prm%gdot0 <= 0.0_pReal) extmsg = trim(extmsg)//' gdot0'
if ( prm%n <= 0.0_pReal) extmsg = trim(extmsg)//' n_slip'
if (any(prm%crss0 <= 0.0_pReal)) extmsg = trim(extmsg)//' crss0'
if (any(prm%tau1 <= 0.0_pReal)) extmsg = trim(extmsg)//' tau1'
if (any(prm%tau1_b <= 0.0_pReal)) extmsg = trim(extmsg)//' tau1_b'
!ToDo: Any sensible checks for theta?
endif slipActive
!--------------------------------------------------------------------------------------------------
! exit if any parameter is out of range
if (extmsg /= '') &
call IO_error(211,ext_msg=trim(extmsg)//'('//PLASTICITY_KINEHARDENING_label//')')
!--------------------------------------------------------------------------------------------------
! output pararameters
outputs = config%getStrings('(output)',defaultVal=emptyStringArray)
allocate(prm%outputID(0))
do i=1, size(outputs)
outputID = undefined_ID
select case(outputs(i))
case ('resistance')
outputID = merge(crss_ID,undefined_ID,prm%totalNslip>0)
case ('accumulatedshear')
outputID = merge(accshear_ID,undefined_ID,prm%totalNslip>0)
case ('shearrate')
outputID = merge(shearrate_ID,undefined_ID,prm%totalNslip>0)
case ('resolvedstress')
outputID = merge(resolvedstress_ID,undefined_ID,prm%totalNslip>0)
case ('backstress')
outputID = merge(crss_back_ID,undefined_ID,prm%totalNslip>0)
case ('sense')
outputID = merge(sense_ID,undefined_ID,prm%totalNslip>0)
case ('chi0')
outputID = merge(chi0_ID,undefined_ID,prm%totalNslip>0)
case ('gamma0')
outputID = merge(gamma0_ID,undefined_ID,prm%totalNslip>0)
end select
if (outputID /= undefined_ID) then
prm%outputID = [prm%outputID , outputID]
endif
enddo
!--------------------------------------------------------------------------------------------------
! allocate state arrays
NipcMyPhase = count(material_phaseAt == p) * discretization_nIP
sizeDotState = size(['crss ','crss_back', 'accshear ']) * prm%totalNslip
sizeDeltaState = size(['sense ', 'chi0 ', 'gamma0' ]) * prm%totalNslip
sizeState = sizeDotState + sizeDeltaState
call material_allocatePlasticState(p,NipcMyPhase,sizeState,sizeDotState,sizeDeltaState)
!--------------------------------------------------------------------------------------------------
! locally defined state aliases and initialization of state0 and aTolState
startIndex = 1
endIndex = prm%totalNslip
stt%crss => plasticState(p)%state (startIndex:endIndex,:)
stt%crss = spread(prm%crss0, 2, NipcMyPhase)
dot%crss => plasticState(p)%dotState(startIndex:endIndex,:)
plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolResistance
startIndex = endIndex + 1
endIndex = endIndex + prm%totalNslip
stt%crss_back => plasticState(p)%state (startIndex:endIndex,:)
dot%crss_back => plasticState(p)%dotState(startIndex:endIndex,:)
plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolResistance
startIndex = endIndex + 1
endIndex = endIndex + prm%totalNslip
stt%accshear => plasticState(p)%state (startIndex:endIndex,:)
dot%accshear => plasticState(p)%dotState(startIndex:endIndex,:)
plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolShear
! global alias
plasticState(p)%slipRate => plasticState(p)%dotState(startIndex:endIndex,:)
plasticState(p)%accumulatedSlip => plasticState(p)%state(startIndex:endIndex,:)
o = plasticState(p)%offsetDeltaState
startIndex = endIndex + 1
endIndex = endIndex + prm%totalNslip
stt%sense => plasticState(p)%state (startIndex :endIndex ,:)
dlt%sense => plasticState(p)%deltaState(startIndex-o:endIndex-o,:)
startIndex = endIndex + 1
endIndex = endIndex + prm%totalNslip
stt%chi0 => plasticState(p)%state (startIndex :endIndex ,:)
dlt%chi0 => plasticState(p)%deltaState(startIndex-o:endIndex-o,:)
startIndex = endIndex + 1
endIndex = endIndex + prm%totalNslip
stt%gamma0 => plasticState(p)%state (startIndex :endIndex ,:)
dlt%gamma0 => plasticState(p)%deltaState(startIndex-o:endIndex-o,:)
plasticState(p)%state0 = plasticState(p)%state ! ToDo: this could be done centrally
end associate
enddo
end subroutine plastic_kinehardening_init
!--------------------------------------------------------------------------------------------------
!> @brief calculates plastic velocity gradient and its tangent
!--------------------------------------------------------------------------------------------------
pure subroutine plastic_kinehardening_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of)
real(pReal), dimension(3,3), intent(out) :: &
Lp !< plastic velocity gradient
real(pReal), dimension(3,3,3,3), intent(out) :: &
dLp_dMp !< derivative of Lp with respect to the Mandel stress
real(pReal), dimension(3,3), intent(in) :: &
Mp !< Mandel stress
integer, intent(in) :: &
instance, &
of
integer :: &
i,k,l,m,n
real(pReal), dimension(param(instance)%totalNslip) :: &
gdot_pos,gdot_neg, &
dgdot_dtau_pos,dgdot_dtau_neg
Lp = 0.0_pReal
dLp_dMp = 0.0_pReal
associate(prm => param(instance))
call kinetics(Mp,instance,of,gdot_pos,gdot_neg,dgdot_dtau_pos,dgdot_dtau_neg)
do i = 1, prm%totalNslip
Lp = Lp + (gdot_pos(i)+gdot_neg(i))*prm%Schmid(1:3,1:3,i)
forall (k=1:3,l=1:3,m=1:3,n=1:3) &
dLp_dMp(k,l,m,n) = dLp_dMp(k,l,m,n) &
+ dgdot_dtau_pos(i) * prm%Schmid(k,l,i) * prm%nonSchmid_pos(m,n,i) &
+ dgdot_dtau_neg(i) * prm%Schmid(k,l,i) * prm%nonSchmid_neg(m,n,i)
enddo
end associate
end subroutine plastic_kinehardening_LpAndItsTangent
!--------------------------------------------------------------------------------------------------
!> @brief calculates the rate of change of microstructure
!--------------------------------------------------------------------------------------------------
subroutine plastic_kinehardening_dotState(Mp,instance,of)
real(pReal), dimension(3,3), intent(in) :: &
Mp !< Mandel stress
integer, intent(in) :: &
instance, &
of
real(pReal) :: &
sumGamma
real(pReal), dimension(param(instance)%totalNslip) :: &
gdot_pos,gdot_neg
associate(prm => param(instance), stt => state(instance), dot => dotState(instance))
call kinetics(Mp,instance,of,gdot_pos,gdot_neg)
dot%accshear(:,of) = abs(gdot_pos+gdot_neg)
sumGamma = sum(stt%accshear(:,of))
dot%crss(:,of) = matmul(prm%interaction_SlipSlip,dot%accshear(:,of)) &
* ( prm%theta1 &
+ (prm%theta0 - prm%theta1 + prm%theta0*prm%theta1*sumGamma/prm%tau1) &
* exp(-sumGamma*prm%theta0/prm%tau1) &
)
dot%crss_back(:,of) = stt%sense(:,of)*dot%accshear(:,of) * &
( prm%theta1_b + &
(prm%theta0_b - prm%theta1_b &
+ prm%theta0_b*prm%theta1_b/(prm%tau1_b+stt%chi0(:,of))*(stt%accshear(:,of)-stt%gamma0(:,of))&
) *exp(-(stt%accshear(:,of)-stt%gamma0(:,of)) *prm%theta0_b/(prm%tau1_b+stt%chi0(:,of))) &
)
end associate
end subroutine plastic_kinehardening_dotState
!--------------------------------------------------------------------------------------------------
!> @brief calculates (instantaneous) incremental change of microstructure
!--------------------------------------------------------------------------------------------------
subroutine plastic_kinehardening_deltaState(Mp,instance,of)
real(pReal), dimension(3,3), intent(in) :: &
Mp !< Mandel stress
integer, intent(in) :: &
instance, &
of
real(pReal), dimension(param(instance)%totalNslip) :: &
gdot_pos,gdot_neg, &
sense
associate(prm => param(instance), stt => state(instance), dlt => deltaState(instance))
call kinetics(Mp,instance,of,gdot_pos,gdot_neg)
sense = merge(state(instance)%sense(:,of), & ! keep existing...
sign(1.0_pReal,gdot_pos+gdot_neg), & ! ...or have a defined
dEq0(gdot_pos+gdot_neg,1e-10_pReal)) ! current sense of shear direction
#ifdef DEBUG
if (iand(debug_level(debug_constitutive), debug_levelExtensive) /= 0 &
.and. (of == prm%of_debug &
.or. .not. iand(debug_level(debug_constitutive),debug_levelSelective) /= 0)) then
write(6,'(a)') '======= kinehardening delta state ======='
write(6,*) sense,state(instance)%sense(:,of)
endif
#endif
!--------------------------------------------------------------------------------------------------
! switch in sense of shear?
where(dNeq(sense,stt%sense(:,of),0.1_pReal))
dlt%sense (:,of) = sense - stt%sense(:,of) ! switch sense
dlt%chi0 (:,of) = abs(stt%crss_back(:,of)) - stt%chi0(:,of) ! remember current backstress magnitude
dlt%gamma0(:,of) = stt%accshear(:,of) - stt%gamma0(:,of) ! remember current accumulated shear
else where
dlt%sense (:,of) = 0.0_pReal
dlt%chi0 (:,of) = 0.0_pReal
dlt%gamma0(:,of) = 0.0_pReal
end where
end associate
end subroutine plastic_kinehardening_deltaState
!--------------------------------------------------------------------------------------------------
!> @brief writes results to HDF5 output file
!--------------------------------------------------------------------------------------------------
subroutine plastic_kinehardening_results(instance,group)
integer, intent(in) :: instance
character(len=*) :: group
integer :: o
associate(prm => param(instance), stt => state(instance))
outputsLoop: do o = 1,size(prm%outputID)
select case(prm%outputID(o))
case (crss_ID)
call results_writeDataset(group,stt%crss,'xi_sl', &
'resistance against plastic slip','Pa')
case(crss_back_ID)
call results_writeDataset(group,stt%crss_back,'tau_back', &
'back stress against plastic slip','Pa')
case (sense_ID)
call results_writeDataset(group,stt%sense,'sense_of_shear','tbd','1')
case (chi0_ID)
call results_writeDataset(group,stt%chi0,'chi0','tbd','Pa')
case (gamma0_ID)
call results_writeDataset(group,stt%gamma0,'gamma0','tbd','1')
case (accshear_ID)
call results_writeDataset(group,stt%accshear,'gamma_sl', &
'plastic shear','1')
end select
enddo outputsLoop
end associate
end subroutine plastic_kinehardening_results
!--------------------------------------------------------------------------------------------------
!> @brief calculates shear rates on slip systems and derivatives with respect to resolved stress
!> @details: Shear rates are calculated only optionally.
! NOTE: Against the common convention, the result (i.e. intent(out)) variables are the last to
! have the optional arguments at the end
!--------------------------------------------------------------------------------------------------
pure subroutine kinetics(Mp,instance,of, &
gdot_pos,gdot_neg,dgdot_dtau_pos,dgdot_dtau_neg)
real(pReal), dimension(3,3), intent(in) :: &
Mp !< Mandel stress
integer, intent(in) :: &
instance, &
of
real(pReal), intent(out), dimension(param(instance)%totalNslip) :: &
gdot_pos, &
gdot_neg
real(pReal), intent(out), optional, dimension(param(instance)%totalNslip) :: &
dgdot_dtau_pos, &
dgdot_dtau_neg
real(pReal), dimension(param(instance)%totalNslip) :: &
tau_pos, &
tau_neg
integer :: i
logical :: nonSchmidActive
associate(prm => param(instance), stt => state(instance))
nonSchmidActive = size(prm%nonSchmidCoeff) > 0
do i = 1, prm%totalNslip
tau_pos(i) = math_mul33xx33(Mp,prm%nonSchmid_pos(1:3,1:3,i)) - stt%crss_back(i,of)
tau_neg(i) = merge(math_mul33xx33(Mp,prm%nonSchmid_neg(1:3,1:3,i)) - stt%crss_back(i,of), &
0.0_pReal, nonSchmidActive)
enddo
where(dNeq0(tau_pos))
gdot_pos = prm%gdot0 * merge(0.5_pReal,1.0_pReal, nonSchmidActive) & ! 1/2 if non-Schmid active
* sign(abs(tau_pos/stt%crss(:,of))**prm%n, tau_pos)
else where
gdot_pos = 0.0_pReal
end where
where(dNeq0(tau_neg))
gdot_neg = prm%gdot0 * 0.5_pReal & ! only used if non-Schmid active, always 1/2
* sign(abs(tau_neg/stt%crss(:,of))**prm%n, tau_neg)
else where
gdot_neg = 0.0_pReal
end where
if (present(dgdot_dtau_pos)) then
where(dNeq0(gdot_pos))
dgdot_dtau_pos = gdot_pos*prm%n/tau_pos
else where
dgdot_dtau_pos = 0.0_pReal
end where
endif
if (present(dgdot_dtau_neg)) then
where(dNeq0(gdot_neg))
dgdot_dtau_neg = gdot_neg*prm%n/tau_neg
else where
dgdot_dtau_neg = 0.0_pReal
end where
endif
end associate
end subroutine kinetics
end module plastic_kinehardening

View File

@ -1,614 +0,0 @@
!--------------------------------------------------------------------------------------------------
!> @author Franz Roters, Max-Planck-Institut für Eisenforschung GmbH
!> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH
!> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH
!> @brief phenomenological crystal plasticity formulation using a powerlaw fitting
!--------------------------------------------------------------------------------------------------
module plastic_phenopowerlaw
use prec
use debug
use math
use IO
use material
use config
use lattice
use discretization
use results
implicit none
private
enum, bind(c)
enumerator :: &
undefined_ID, &
resistance_slip_ID, &
accumulatedshear_slip_ID, &
shearrate_slip_ID, &
resolvedstress_slip_ID, &
resistance_twin_ID, &
accumulatedshear_twin_ID, &
shearrate_twin_ID, &
resolvedstress_twin_ID
end enum
type :: tParameters
real(pReal) :: &
gdot0_slip, & !< reference shear strain rate for slip
gdot0_twin, & !< reference shear strain rate for twin
n_slip, & !< stress exponent for slip
n_twin, & !< stress exponent for twin
spr, & !< push-up factor for slip saturation due to twinning
twinB, &
twinC, &
twinD, &
twinE, &
h0_SlipSlip, & !< reference hardening slip - slip
h0_TwinSlip, & !< reference hardening twin - slip
h0_TwinTwin, & !< reference hardening twin - twin
a_slip, &
aTolResistance, & !< absolute tolerance for integration of xi
aTolShear, & !< absolute tolerance for integration of gamma
aTolTwinfrac !< absolute tolerance for integration of f
real(pReal), allocatable, dimension(:) :: &
xi_slip_0, & !< initial critical shear stress for slip
xi_twin_0, & !< initial critical shear stress for twin
xi_slip_sat, & !< maximum critical shear stress for slip
nonSchmidCoeff, &
H_int, & !< per family hardening activity (optional)
gamma_twin_char !< characteristic shear for twins
real(pReal), allocatable, dimension(:,:) :: &
interaction_SlipSlip, & !< slip resistance from slip activity
interaction_SlipTwin, & !< slip resistance from twin activity
interaction_TwinSlip, & !< twin resistance from slip activity
interaction_TwinTwin !< twin resistance from twin activity
real(pReal), allocatable, dimension(:,:,:) :: &
Schmid_slip, &
Schmid_twin, &
nonSchmid_pos, &
nonSchmid_neg
integer :: &
totalNslip, & !< total number of active slip system
totalNtwin !< total number of active twin systems
integer, allocatable, dimension(:) :: &
Nslip, & !< number of active slip systems for each family
Ntwin !< number of active twin systems for each family
integer(kind(undefined_ID)), allocatable, dimension(:) :: &
outputID !< ID of each post result output
end type tParameters
type :: tPhenopowerlawState
real(pReal), pointer, dimension(:,:) :: &
xi_slip, &
xi_twin, &
gamma_slip, &
gamma_twin
end type tPhenopowerlawState
!--------------------------------------------------------------------------------------------------
! containers for parameters and state
type(tParameters), allocatable, dimension(:) :: param
type(tPhenopowerlawState), allocatable, dimension(:) :: &
dotState, &
state
public :: &
plastic_phenopowerlaw_init, &
plastic_phenopowerlaw_LpAndItsTangent, &
plastic_phenopowerlaw_dotState, &
plastic_phenopowerlaw_results
contains
!--------------------------------------------------------------------------------------------------
!> @brief module initialization
!> @details reads in material parameters, allocates arrays, and does sanity checks
!--------------------------------------------------------------------------------------------------
subroutine plastic_phenopowerlaw_init
integer :: &
Ninstance, &
p, i, &
NipcMyPhase, outputSize, &
sizeState, sizeDotState, &
startIndex, endIndex
integer(kind(undefined_ID)) :: &
outputID
character(len=pStringLen) :: &
extmsg = ''
character(len=pStringLen), dimension(:), allocatable :: &
outputs
write(6,'(/,a)') ' <<<+- plastic_'//PLASTICITY_PHENOPOWERLAW_label//' init -+>>>'
Ninstance = count(phase_plasticity == PLASTICITY_PHENOPOWERLAW_ID)
if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) &
write(6,'(a16,1x,i5,/)') '# instances:',Ninstance
allocate(param(Ninstance))
allocate(state(Ninstance))
allocate(dotState(Ninstance))
do p = 1, size(phase_plasticity)
if (phase_plasticity(p) /= PLASTICITY_PHENOPOWERLAW_ID) cycle
associate(prm => param(phase_plasticityInstance(p)), &
dot => dotState(phase_plasticityInstance(p)), &
stt => state(phase_plasticityInstance(p)), &
config => config_phase(p))
!--------------------------------------------------------------------------------------------------
! optional parameters that need to be defined
prm%twinB = config%getFloat('twin_b',defaultVal=1.0_pReal)
prm%twinC = config%getFloat('twin_c',defaultVal=0.0_pReal)
prm%twinD = config%getFloat('twin_d',defaultVal=0.0_pReal)
prm%twinE = config%getFloat('twin_e',defaultVal=0.0_pReal)
prm%aTolResistance = config%getFloat('atol_resistance',defaultVal=1.0_pReal)
prm%aTolShear = config%getFloat('atol_shear', defaultVal=1.0e-6_pReal)
prm%aTolTwinfrac = config%getFloat('atol_twinfrac', defaultVal=1.0e-6_pReal)
! sanity checks
if (prm%aTolResistance <= 0.0_pReal) extmsg = trim(extmsg)//' aTolresistance'
if (prm%aTolShear <= 0.0_pReal) extmsg = trim(extmsg)//' aTolShear'
if (prm%aTolTwinfrac <= 0.0_pReal) extmsg = trim(extmsg)//' atoltwinfrac'
!--------------------------------------------------------------------------------------------------
! slip related parameters
prm%Nslip = config%getInts('nslip',defaultVal=emptyIntArray)
prm%totalNslip = sum(prm%Nslip)
slipActive: if (prm%totalNslip > 0) then
prm%Schmid_slip = lattice_SchmidMatrix_slip(prm%Nslip,config%getString('lattice_structure'),&
config%getFloat('c/a',defaultVal=0.0_pReal))
if(trim(config%getString('lattice_structure')) == 'bcc') then
prm%nonSchmidCoeff = config%getFloats('nonschmid_coefficients',&
defaultVal = emptyRealArray)
prm%nonSchmid_pos = lattice_nonSchmidMatrix(prm%Nslip,prm%nonSchmidCoeff,+1)
prm%nonSchmid_neg = lattice_nonSchmidMatrix(prm%Nslip,prm%nonSchmidCoeff,-1)
else
allocate(prm%nonSchmidCoeff(0))
prm%nonSchmid_pos = prm%Schmid_slip
prm%nonSchmid_neg = prm%Schmid_slip
endif
prm%interaction_SlipSlip = lattice_interaction_SlipBySlip(prm%Nslip, &
config%getFloats('interaction_slipslip'), &
config%getString('lattice_structure'))
prm%xi_slip_0 = config%getFloats('tau0_slip', requiredSize=size(prm%Nslip))
prm%xi_slip_sat = config%getFloats('tausat_slip', requiredSize=size(prm%Nslip))
prm%H_int = config%getFloats('h_int', requiredSize=size(prm%Nslip), &
defaultVal=[(0.0_pReal,i=1,size(prm%Nslip))])
prm%gdot0_slip = config%getFloat('gdot0_slip')
prm%n_slip = config%getFloat('n_slip')
prm%a_slip = config%getFloat('a_slip')
prm%h0_SlipSlip = config%getFloat('h0_slipslip')
! expand: family => system
prm%xi_slip_0 = math_expand(prm%xi_slip_0, prm%Nslip)
prm%xi_slip_sat = math_expand(prm%xi_slip_sat,prm%Nslip)
prm%H_int = math_expand(prm%H_int, prm%Nslip)
! sanity checks
if ( prm%gdot0_slip <= 0.0_pReal) extmsg = trim(extmsg)//' gdot0_slip'
if ( prm%a_slip <= 0.0_pReal) extmsg = trim(extmsg)//' a_slip'
if ( prm%n_slip <= 0.0_pReal) extmsg = trim(extmsg)//' n_slip'
if (any(prm%xi_slip_0 <= 0.0_pReal)) extmsg = trim(extmsg)//' xi_slip_0'
if (any(prm%xi_slip_sat <= 0.0_pReal)) extmsg = trim(extmsg)//' xi_slip_sat'
else slipActive
allocate(prm%interaction_SlipSlip(0,0))
allocate(prm%xi_slip_0(0))
endif slipActive
!--------------------------------------------------------------------------------------------------
! twin related parameters
prm%Ntwin = config%getInts('ntwin', defaultVal=emptyIntArray)
prm%totalNtwin = sum(prm%Ntwin)
twinActive: if (prm%totalNtwin > 0) then
prm%Schmid_twin = lattice_SchmidMatrix_twin(prm%Ntwin,config%getString('lattice_structure'),&
config%getFloat('c/a',defaultVal=0.0_pReal))
prm%interaction_TwinTwin = lattice_interaction_TwinByTwin(prm%Ntwin,&
config%getFloats('interaction_twintwin'), &
config%getString('lattice_structure'))
prm%gamma_twin_char = lattice_characteristicShear_twin(prm%Ntwin,config%getString('lattice_structure'),&
config%getFloat('c/a'))
prm%xi_twin_0 = config%getFloats('tau0_twin',requiredSize=size(prm%Ntwin))
prm%gdot0_twin = config%getFloat('gdot0_twin')
prm%n_twin = config%getFloat('n_twin')
prm%spr = config%getFloat('s_pr')
prm%h0_TwinTwin = config%getFloat('h0_twintwin')
! expand: family => system
prm%xi_twin_0 = math_expand(prm%xi_twin_0, prm%Ntwin)
! sanity checks
if (prm%gdot0_twin <= 0.0_pReal) extmsg = trim(extmsg)//' gdot0_twin'
if (prm%n_twin <= 0.0_pReal) extmsg = trim(extmsg)//' n_twin'
else twinActive
allocate(prm%interaction_TwinTwin(0,0))
allocate(prm%xi_twin_0(0))
allocate(prm%gamma_twin_char(0))
endif twinActive
!--------------------------------------------------------------------------------------------------
! slip-twin related parameters
slipAndTwinActive: if (prm%totalNslip > 0 .and. prm%totalNtwin > 0) then
prm%h0_TwinSlip = config%getFloat('h0_twinslip')
prm%interaction_SlipTwin = lattice_interaction_SlipByTwin(prm%Nslip,prm%Ntwin,&
config%getFloats('interaction_sliptwin'), &
config%getString('lattice_structure'))
prm%interaction_TwinSlip = lattice_interaction_TwinBySlip(prm%Ntwin,prm%Nslip,&
config%getFloats('interaction_twinslip'), &
config%getString('lattice_structure'))
else slipAndTwinActive
allocate(prm%interaction_SlipTwin(prm%TotalNslip,prm%TotalNtwin)) ! at least one dimension is 0
allocate(prm%interaction_TwinSlip(prm%TotalNtwin,prm%TotalNslip)) ! at least one dimension is 0
prm%h0_TwinSlip = 0.0_pReal
endif slipAndTwinActive
!--------------------------------------------------------------------------------------------------
! exit if any parameter is out of range
if (extmsg /= '') &
call IO_error(211,ext_msg=trim(extmsg)//'('//PLASTICITY_PHENOPOWERLAW_label//')')
!--------------------------------------------------------------------------------------------------
! output pararameters
outputs = config%getStrings('(output)',defaultVal=emptyStringArray)
allocate(prm%outputID(0))
do i=1, size(outputs)
outputID = undefined_ID
select case(outputs(i))
case ('resistance_slip')
outputID = merge(resistance_slip_ID,undefined_ID,prm%totalNslip>0)
outputSize = prm%totalNslip
case ('accumulatedshear_slip')
outputID = merge(accumulatedshear_slip_ID,undefined_ID,prm%totalNslip>0)
outputSize = prm%totalNslip
case ('shearrate_slip')
outputID = merge(shearrate_slip_ID,undefined_ID,prm%totalNslip>0)
outputSize = prm%totalNslip
case ('resolvedstress_slip')
outputID = merge(resolvedstress_slip_ID,undefined_ID,prm%totalNslip>0)
outputSize = prm%totalNslip
case ('resistance_twin')
outputID = merge(resistance_twin_ID,undefined_ID,prm%totalNtwin>0)
outputSize = prm%totalNtwin
case ('accumulatedshear_twin')
outputID = merge(accumulatedshear_twin_ID,undefined_ID,prm%totalNtwin>0)
outputSize = prm%totalNtwin
case ('shearrate_twin')
outputID = merge(shearrate_twin_ID,undefined_ID,prm%totalNtwin>0)
outputSize = prm%totalNtwin
case ('resolvedstress_twin')
outputID = merge(resolvedstress_twin_ID,undefined_ID,prm%totalNtwin>0)
outputSize = prm%totalNtwin
end select
if (outputID /= undefined_ID) then
prm%outputID = [prm%outputID, outputID]
endif
enddo
!--------------------------------------------------------------------------------------------------
! allocate state arrays
NipcMyPhase = count(material_phaseAt == p) * discretization_nIP
sizeDotState = size(['tau_slip ','gamma_slip']) * prm%totalNslip &
+ size(['tau_twin ','gamma_twin']) * prm%totalNtwin
sizeState = sizeDotState
call material_allocatePlasticState(p,NipcMyPhase,sizeState,sizeDotState,0)
!--------------------------------------------------------------------------------------------------
! locally defined state aliases and initialization of state0 and aTolState
startIndex = 1
endIndex = prm%totalNslip
stt%xi_slip => plasticState(p)%state (startIndex:endIndex,:)
stt%xi_slip = spread(prm%xi_slip_0, 2, NipcMyPhase)
dot%xi_slip => plasticState(p)%dotState(startIndex:endIndex,:)
plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolResistance
startIndex = endIndex + 1
endIndex = endIndex + prm%totalNtwin
stt%xi_twin => plasticState(p)%state (startIndex:endIndex,:)
stt%xi_twin = spread(prm%xi_twin_0, 2, NipcMyPhase)
dot%xi_twin => plasticState(p)%dotState(startIndex:endIndex,:)
plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolResistance
startIndex = endIndex + 1
endIndex = endIndex + prm%totalNslip
stt%gamma_slip => plasticState(p)%state (startIndex:endIndex,:)
dot%gamma_slip => plasticState(p)%dotState(startIndex:endIndex,:)
plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolShear
! global alias
plasticState(p)%slipRate => plasticState(p)%dotState(startIndex:endIndex,:)
plasticState(p)%accumulatedSlip => plasticState(p)%state(startIndex:endIndex,:)
startIndex = endIndex + 1
endIndex = endIndex + prm%totalNtwin
stt%gamma_twin => plasticState(p)%state (startIndex:endIndex,:)
dot%gamma_twin => plasticState(p)%dotState(startIndex:endIndex,:)
plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolShear
plasticState(p)%state0 = plasticState(p)%state ! ToDo: this could be done centrally
end associate
enddo
end subroutine plastic_phenopowerlaw_init
!--------------------------------------------------------------------------------------------------
!> @brief calculates plastic velocity gradient and its tangent
!> @details asummes that deformation by dislocation glide affects twinned and untwinned volume
! equally (Taylor assumption). Twinning happens only in untwinned volume
!--------------------------------------------------------------------------------------------------
pure subroutine plastic_phenopowerlaw_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of)
real(pReal), dimension(3,3), intent(out) :: &
Lp !< plastic velocity gradient
real(pReal), dimension(3,3,3,3), intent(out) :: &
dLp_dMp !< derivative of Lp with respect to the Mandel stress
real(pReal), dimension(3,3), intent(in) :: &
Mp !< Mandel stress
integer, intent(in) :: &
instance, &
of
integer :: &
i,k,l,m,n
real(pReal), dimension(param(instance)%totalNslip) :: &
gdot_slip_pos,gdot_slip_neg, &
dgdot_dtauslip_pos,dgdot_dtauslip_neg
real(pReal), dimension(param(instance)%totalNtwin) :: &
gdot_twin,dgdot_dtautwin
Lp = 0.0_pReal
dLp_dMp = 0.0_pReal
associate(prm => param(instance))
call kinetics_slip(Mp,instance,of,gdot_slip_pos,gdot_slip_neg,dgdot_dtauslip_pos,dgdot_dtauslip_neg)
slipSystems: do i = 1, prm%totalNslip
Lp = Lp + (gdot_slip_pos(i)+gdot_slip_neg(i))*prm%Schmid_slip(1:3,1:3,i)
forall (k=1:3,l=1:3,m=1:3,n=1:3) &
dLp_dMp(k,l,m,n) = dLp_dMp(k,l,m,n) &
+ dgdot_dtauslip_pos(i) * prm%Schmid_slip(k,l,i) * prm%nonSchmid_pos(m,n,i) &
+ dgdot_dtauslip_neg(i) * prm%Schmid_slip(k,l,i) * prm%nonSchmid_neg(m,n,i)
enddo slipSystems
call kinetics_twin(Mp,instance,of,gdot_twin,dgdot_dtautwin)
twinSystems: do i = 1, prm%totalNtwin
Lp = Lp + gdot_twin(i)*prm%Schmid_twin(1:3,1:3,i)
forall (k=1:3,l=1:3,m=1:3,n=1:3) &
dLp_dMp(k,l,m,n) = dLp_dMp(k,l,m,n) &
+ dgdot_dtautwin(i)*prm%Schmid_twin(k,l,i)*prm%Schmid_twin(m,n,i)
enddo twinSystems
end associate
end subroutine plastic_phenopowerlaw_LpAndItsTangent
!--------------------------------------------------------------------------------------------------
!> @brief calculates the rate of change of microstructure
!--------------------------------------------------------------------------------------------------
subroutine plastic_phenopowerlaw_dotState(Mp,instance,of)
real(pReal), dimension(3,3), intent(in) :: &
Mp !< Mandel stress
integer, intent(in) :: &
instance, &
of
real(pReal) :: &
c_SlipSlip,c_TwinSlip,c_TwinTwin, &
xi_slip_sat_offset,&
sumGamma,sumF
real(pReal), dimension(param(instance)%totalNslip) :: &
left_SlipSlip,right_SlipSlip, &
gdot_slip_pos,gdot_slip_neg
associate(prm => param(instance), stt => state(instance), dot => dotState(instance))
sumGamma = sum(stt%gamma_slip(:,of))
sumF = sum(stt%gamma_twin(:,of)/prm%gamma_twin_char)
!--------------------------------------------------------------------------------------------------
! system-independent (nonlinear) prefactors to M_Xx (X influenced by x) matrices
c_SlipSlip = prm%h0_slipslip * (1.0_pReal + prm%twinC*sumF** prm%twinB)
c_TwinSlip = prm%h0_TwinSlip * sumGamma**prm%twinE
c_TwinTwin = prm%h0_TwinTwin * sumF**prm%twinD
!--------------------------------------------------------------------------------------------------
! calculate left and right vectors
left_SlipSlip = 1.0_pReal + prm%H_int
xi_slip_sat_offset = prm%spr*sqrt(sumF)
right_SlipSlip = abs(1.0_pReal-stt%xi_slip(:,of) / (prm%xi_slip_sat+xi_slip_sat_offset)) **prm%a_slip &
* sign(1.0_pReal,1.0_pReal-stt%xi_slip(:,of) / (prm%xi_slip_sat+xi_slip_sat_offset))
!--------------------------------------------------------------------------------------------------
! shear rates
call kinetics_slip(Mp,instance,of,gdot_slip_pos,gdot_slip_neg)
dot%gamma_slip(:,of) = abs(gdot_slip_pos+gdot_slip_neg)
call kinetics_twin(Mp,instance,of,dot%gamma_twin(:,of))
!--------------------------------------------------------------------------------------------------
! hardening
dot%xi_slip(:,of) = c_SlipSlip * left_SlipSlip * &
matmul(prm%interaction_SlipSlip,dot%gamma_slip(:,of)*right_SlipSlip) &
+ matmul(prm%interaction_SlipTwin,dot%gamma_twin(:,of))
dot%xi_twin(:,of) = c_TwinSlip * matmul(prm%interaction_TwinSlip,dot%gamma_slip(:,of)) &
+ c_TwinTwin * matmul(prm%interaction_TwinTwin,dot%gamma_twin(:,of))
end associate
end subroutine plastic_phenopowerlaw_dotState
!--------------------------------------------------------------------------------------------------
!> @brief writes results to HDF5 output file
!--------------------------------------------------------------------------------------------------
subroutine plastic_phenopowerlaw_results(instance,group)
integer, intent(in) :: instance
character(len=*), intent(in) :: group
integer :: o
associate(prm => param(instance), stt => state(instance))
outputsLoop: do o = 1,size(prm%outputID)
select case(prm%outputID(o))
case (resistance_slip_ID)
call results_writeDataset(group,stt%xi_slip, 'xi_sl', &
'resistance against plastic slip','Pa')
case (accumulatedshear_slip_ID)
call results_writeDataset(group,stt%gamma_slip,'gamma_sl', &
'plastic shear','1')
case (resistance_twin_ID)
call results_writeDataset(group,stt%xi_twin, 'xi_tw', &
'resistance against twinning','Pa')
case (accumulatedshear_twin_ID)
call results_writeDataset(group,stt%gamma_twin,'gamma_tw', &
'twinning shear','1')
end select
enddo outputsLoop
end associate
end subroutine plastic_phenopowerlaw_results
!--------------------------------------------------------------------------------------------------
!> @brief Shear rates on slip systems and their derivatives with respect to resolved stress
!> @details Derivatives are calculated only optionally.
! NOTE: Against the common convention, the result (i.e. intent(out)) variables are the last to
! have the optional arguments at the end
!--------------------------------------------------------------------------------------------------
pure subroutine kinetics_slip(Mp,instance,of, &
gdot_slip_pos,gdot_slip_neg,dgdot_dtau_slip_pos,dgdot_dtau_slip_neg)
real(pReal), dimension(3,3), intent(in) :: &
Mp !< Mandel stress
integer, intent(in) :: &
instance, &
of
real(pReal), intent(out), dimension(param(instance)%totalNslip) :: &
gdot_slip_pos, &
gdot_slip_neg
real(pReal), intent(out), optional, dimension(param(instance)%totalNslip) :: &
dgdot_dtau_slip_pos, &
dgdot_dtau_slip_neg
real(pReal), dimension(param(instance)%totalNslip) :: &
tau_slip_pos, &
tau_slip_neg
integer :: i
logical :: nonSchmidActive
associate(prm => param(instance), stt => state(instance))
nonSchmidActive = size(prm%nonSchmidCoeff) > 0
do i = 1, prm%totalNslip
tau_slip_pos(i) = math_mul33xx33(Mp,prm%nonSchmid_pos(1:3,1:3,i))
tau_slip_neg(i) = merge(math_mul33xx33(Mp,prm%nonSchmid_neg(1:3,1:3,i)), &
0.0_pReal, nonSchmidActive)
enddo
where(dNeq0(tau_slip_pos))
gdot_slip_pos = prm%gdot0_slip * merge(0.5_pReal,1.0_pReal, nonSchmidActive) & ! 1/2 if non-Schmid active
* sign(abs(tau_slip_pos/stt%xi_slip(:,of))**prm%n_slip, tau_slip_pos)
else where
gdot_slip_pos = 0.0_pReal
end where
where(dNeq0(tau_slip_neg))
gdot_slip_neg = prm%gdot0_slip * 0.5_pReal & ! only used if non-Schmid active, always 1/2
* sign(abs(tau_slip_neg/stt%xi_slip(:,of))**prm%n_slip, tau_slip_neg)
else where
gdot_slip_neg = 0.0_pReal
end where
if (present(dgdot_dtau_slip_pos)) then
where(dNeq0(gdot_slip_pos))
dgdot_dtau_slip_pos = gdot_slip_pos*prm%n_slip/tau_slip_pos
else where
dgdot_dtau_slip_pos = 0.0_pReal
end where
endif
if (present(dgdot_dtau_slip_neg)) then
where(dNeq0(gdot_slip_neg))
dgdot_dtau_slip_neg = gdot_slip_neg*prm%n_slip/tau_slip_neg
else where
dgdot_dtau_slip_neg = 0.0_pReal
end where
endif
end associate
end subroutine kinetics_slip
!--------------------------------------------------------------------------------------------------
!> @brief Shear rates on twin systems and their derivatives with respect to resolved stress.
! twinning is assumed to take place only in untwinned volume.
!> @details Derivates are calculated only optionally.
! NOTE: Against the common convention, the result (i.e. intent(out)) variables are the last to
! have the optional arguments at the end.
!--------------------------------------------------------------------------------------------------
pure subroutine kinetics_twin(Mp,instance,of,&
gdot_twin,dgdot_dtau_twin)
real(pReal), dimension(3,3), intent(in) :: &
Mp !< Mandel stress
integer, intent(in) :: &
instance, &
of
real(pReal), dimension(param(instance)%totalNtwin), intent(out) :: &
gdot_twin
real(pReal), dimension(param(instance)%totalNtwin), intent(out), optional :: &
dgdot_dtau_twin
real(pReal), dimension(param(instance)%totalNtwin) :: &
tau_twin
integer :: i
associate(prm => param(instance), stt => state(instance))
do i = 1, prm%totalNtwin
tau_twin(i) = math_mul33xx33(Mp,prm%Schmid_twin(1:3,1:3,i))
enddo
where(tau_twin > 0.0_pReal)
gdot_twin = (1.0_pReal-sum(stt%gamma_twin(:,of)/prm%gamma_twin_char)) & ! only twin in untwinned volume fraction
* prm%gdot0_twin*(abs(tau_twin)/stt%xi_twin(:,of))**prm%n_twin
else where
gdot_twin = 0.0_pReal
end where
if (present(dgdot_dtau_twin)) then
where(dNeq0(gdot_twin))
dgdot_dtau_twin = gdot_twin*prm%n_twin/tau_twin
else where
dgdot_dtau_twin = 0.0_pReal
end where
endif
end associate
end subroutine kinetics_twin
end module plastic_phenopowerlaw