2016-01-09 01:15:20 +05:30
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
|
|
|
!> @author Franz Roters, Max-Planck-Institut für Eisenforschung GmbH
|
|
|
|
|
!> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH
|
|
|
|
|
!> @brief material subroutine for isotropic (ISOTROPIC) plasticity
|
|
|
|
|
!> @details Isotropic (ISOTROPIC) Plasticity which resembles the phenopowerlaw plasticity without
|
|
|
|
|
!! resolving the stress on the slip systems. Will give the response of phenopowerlaw for an
|
|
|
|
|
!! untextured polycrystal
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
|
|
|
module plastic_isotropic
|
|
|
|
|
use prec, only: &
|
|
|
|
|
pReal,&
|
2017-05-04 04:02:44 +05:30
|
|
|
pInt
|
2016-01-09 01:15:20 +05:30
|
|
|
|
|
|
|
|
implicit none
|
|
|
|
|
private
|
2016-01-22 13:43:05 +05:30
|
|
|
integer(pInt), dimension(:,:), allocatable, target, public :: &
|
|
|
|
|
plastic_isotropic_sizePostResult !< size of each post result output
|
|
|
|
|
character(len=64), dimension(:,:), allocatable, target, public :: &
|
|
|
|
|
plastic_isotropic_output !< name of each post result output
|
|
|
|
|
integer(pInt), dimension(:), allocatable, target, public :: &
|
|
|
|
|
plastic_isotropic_Noutput !< number of outputs per instance
|
2016-01-09 01:15:20 +05:30
|
|
|
|
|
|
|
|
enum, bind(c)
|
|
|
|
|
enumerator :: undefined_ID, &
|
|
|
|
|
flowstress_ID, &
|
|
|
|
|
strainrate_ID
|
|
|
|
|
end enum
|
|
|
|
|
|
2016-01-22 06:38:36 +05:30
|
|
|
type, private :: tParameters !< container type for internal constitutive parameters
|
|
|
|
|
integer(kind(undefined_ID)), allocatable, dimension(:) :: &
|
|
|
|
|
outputID
|
|
|
|
|
real(pReal) :: &
|
2017-05-04 04:02:44 +05:30
|
|
|
fTaylor, &
|
|
|
|
|
tau0, &
|
|
|
|
|
gdot0, &
|
|
|
|
|
n, &
|
|
|
|
|
h0, &
|
2018-06-01 13:54:42 +05:30
|
|
|
h0_slopeLnRate, &
|
2017-05-04 04:02:44 +05:30
|
|
|
tausat, &
|
|
|
|
|
a, &
|
2018-06-01 13:54:42 +05:30
|
|
|
aTolFlowstress, &
|
|
|
|
|
aTolShear, &
|
|
|
|
|
tausat_SinhFitA, &
|
|
|
|
|
tausat_SinhFitB, &
|
|
|
|
|
tausat_SinhFitC, &
|
|
|
|
|
tausat_SinhFitD
|
2016-01-22 06:38:36 +05:30
|
|
|
logical :: &
|
2018-06-01 13:54:42 +05:30
|
|
|
dilatation
|
2016-01-22 06:38:36 +05:30
|
|
|
end type
|
|
|
|
|
|
2018-05-25 03:26:09 +05:30
|
|
|
type(tParameters), dimension(:), allocatable, target, private :: param !< containers of constitutive parameters (len Ninstance)
|
2016-01-22 06:38:36 +05:30
|
|
|
|
|
|
|
|
type, private :: tIsotropicState !< internal state aliases
|
|
|
|
|
real(pReal), pointer, dimension(:) :: & ! scalars along NipcMyInstance
|
2016-01-09 01:15:20 +05:30
|
|
|
flowstress, &
|
2016-01-22 06:38:36 +05:30
|
|
|
accumulatedShear
|
|
|
|
|
end type
|
2017-09-19 05:12:27 +05:30
|
|
|
|
2016-01-22 06:38:36 +05:30
|
|
|
type(tIsotropicState), allocatable, dimension(:), private :: & !< state aliases per instance
|
|
|
|
|
state, &
|
|
|
|
|
dotState
|
2017-09-19 05:12:27 +05:30
|
|
|
|
2016-01-09 01:15:20 +05:30
|
|
|
public :: &
|
|
|
|
|
plastic_isotropic_init, &
|
|
|
|
|
plastic_isotropic_LpAndItsTangent, &
|
|
|
|
|
plastic_isotropic_LiAndItsTangent, &
|
|
|
|
|
plastic_isotropic_dotState, &
|
|
|
|
|
plastic_isotropic_postResults
|
|
|
|
|
|
|
|
|
|
contains
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
|
|
|
!> @brief module initialization
|
|
|
|
|
!> @details reads in material parameters, allocates arrays, and does sanity checks
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
2018-06-01 13:54:42 +05:30
|
|
|
subroutine plastic_isotropic_init()
|
2018-02-02 17:06:09 +05:30
|
|
|
#if defined(__GFORTRAN__) || __INTEL_COMPILER >= 1800
|
2017-10-05 20:05:34 +05:30
|
|
|
use, intrinsic :: iso_fortran_env, only: &
|
|
|
|
|
compiler_version, &
|
|
|
|
|
compiler_options
|
|
|
|
|
#endif
|
2018-06-01 13:54:42 +05:30
|
|
|
use IO
|
2016-01-09 01:15:20 +05:30
|
|
|
use debug, only: &
|
|
|
|
|
debug_level, &
|
|
|
|
|
debug_constitutive, &
|
|
|
|
|
debug_levelBasic
|
|
|
|
|
use numerics, only: &
|
|
|
|
|
numerics_integrator
|
|
|
|
|
use math, only: &
|
|
|
|
|
math_Mandel3333to66, &
|
|
|
|
|
math_Voigt66to3333
|
|
|
|
|
use material, only: &
|
|
|
|
|
phase_plasticity, &
|
|
|
|
|
phase_plasticityInstance, &
|
|
|
|
|
phase_Noutput, &
|
|
|
|
|
PLASTICITY_ISOTROPIC_label, &
|
|
|
|
|
PLASTICITY_ISOTROPIC_ID, &
|
|
|
|
|
material_phase, &
|
2018-06-10 21:31:52 +05:30
|
|
|
plasticState
|
2018-06-14 10:09:49 +05:30
|
|
|
use config, only: &
|
2018-06-01 13:54:42 +05:30
|
|
|
MATERIAL_partPhase, &
|
2018-06-27 00:24:54 +05:30
|
|
|
config_phase
|
2016-01-09 01:15:20 +05:30
|
|
|
|
|
|
|
|
use lattice
|
|
|
|
|
|
|
|
|
|
implicit none
|
|
|
|
|
|
2018-06-22 02:08:48 +05:30
|
|
|
type(tParameters), pointer :: prm
|
2016-01-09 01:15:20 +05:30
|
|
|
|
|
|
|
|
integer(pInt) :: &
|
|
|
|
|
o, &
|
|
|
|
|
phase, &
|
|
|
|
|
instance, &
|
2016-01-22 06:38:36 +05:30
|
|
|
maxNinstance, &
|
2016-01-09 01:15:20 +05:30
|
|
|
mySize, &
|
|
|
|
|
sizeDotState, &
|
|
|
|
|
sizeState, &
|
|
|
|
|
sizeDeltaState
|
|
|
|
|
character(len=65536) :: &
|
2016-01-22 06:38:36 +05:30
|
|
|
extmsg = ''
|
2018-06-01 13:54:42 +05:30
|
|
|
integer(pInt) :: NipcMyPhase,i
|
2018-06-22 02:08:48 +05:30
|
|
|
character(len=65536), dimension(:), allocatable :: outputs
|
2016-01-09 01:15:20 +05:30
|
|
|
|
2016-07-25 23:42:00 +05:30
|
|
|
write(6,'(/,a)') ' <<<+- constitutive_'//PLASTICITY_ISOTROPIC_label//' init -+>>>'
|
|
|
|
|
write(6,'(a15,a)') ' Current time: ',IO_timeStamp()
|
2016-01-09 01:15:20 +05:30
|
|
|
#include "compilation_info.f90"
|
|
|
|
|
|
|
|
|
|
maxNinstance = int(count(phase_plasticity == PLASTICITY_ISOTROPIC_ID),pInt)
|
|
|
|
|
if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0_pInt) &
|
|
|
|
|
write(6,'(a16,1x,i5,/)') '# instances:',maxNinstance
|
2016-01-22 13:43:05 +05:30
|
|
|
|
2018-06-01 13:54:42 +05:30
|
|
|
! public variables
|
2016-01-22 13:43:05 +05:30
|
|
|
allocate(plastic_isotropic_sizePostResult(maxval(phase_Noutput), maxNinstance),source=0_pInt)
|
|
|
|
|
allocate(plastic_isotropic_output(maxval(phase_Noutput), maxNinstance))
|
|
|
|
|
plastic_isotropic_output = ''
|
|
|
|
|
allocate(plastic_isotropic_Noutput(maxNinstance), source=0_pInt)
|
|
|
|
|
|
2018-06-01 13:54:42 +05:30
|
|
|
! inernal variable
|
2016-01-22 06:38:36 +05:30
|
|
|
allocate(param(maxNinstance)) ! one container of parameters per instance
|
2018-06-01 13:54:42 +05:30
|
|
|
allocate(state(maxNinstance)) ! internal state aliases
|
|
|
|
|
allocate(dotState(maxNinstance))
|
2016-03-08 03:42:37 +05:30
|
|
|
|
2018-06-01 13:54:42 +05:30
|
|
|
do phase = 1_pInt, size(phase_plasticityInstance)
|
|
|
|
|
if (phase_plasticity(phase) == PLASTICITY_ISOTROPIC_ID) then
|
|
|
|
|
instance = phase_plasticityInstance(phase)
|
2018-06-22 02:08:48 +05:30
|
|
|
prm => param(instance) ! shorthand pointer to parameter object of my constitutive law
|
2018-06-27 00:24:54 +05:30
|
|
|
prm%tau0 = config_phase(phase)%getFloat('tau0')
|
|
|
|
|
prm%tausat = config_phase(phase)%getFloat('tausat')
|
|
|
|
|
prm%gdot0 = config_phase(phase)%getFloat('gdot0')
|
|
|
|
|
prm%n = config_phase(phase)%getFloat('n')
|
|
|
|
|
prm%h0 = config_phase(phase)%getFloat('h0')
|
|
|
|
|
prm%fTaylor = config_phase(phase)%getFloat('m')
|
|
|
|
|
prm%h0_slopeLnRate = config_phase(phase)%getFloat('h0_slopelnrate', defaultVal=0.0_pReal)
|
|
|
|
|
prm%tausat_SinhFitA = config_phase(phase)%getFloat('tausat_sinhfita',defaultVal=0.0_pReal)
|
|
|
|
|
prm%tausat_SinhFitB = config_phase(phase)%getFloat('tausat_sinhfitb',defaultVal=0.0_pReal)
|
|
|
|
|
prm%tausat_SinhFitC = config_phase(phase)%getFloat('tausat_sinhfitc',defaultVal=0.0_pReal)
|
|
|
|
|
prm%tausat_SinhFitD = config_phase(phase)%getFloat('tausat_sinhfitd',defaultVal=0.0_pReal)
|
|
|
|
|
prm%a = config_phase(phase)%getFloat('a')
|
|
|
|
|
prm%aTolFlowStress = config_phase(phase)%getFloat('atol_flowstress',defaultVal=1.0_pReal)
|
|
|
|
|
prm%aTolShear = config_phase(phase)%getFloat('atol_shear',defaultVal=1.0e-6_pReal)
|
2018-06-01 13:54:42 +05:30
|
|
|
|
2018-06-27 00:24:54 +05:30
|
|
|
prm%dilatation = config_phase(phase)%keyExists('/dilatation/')
|
2018-06-01 15:03:13 +05:30
|
|
|
|
2018-06-22 11:33:22 +05:30
|
|
|
#if defined(__GFORTRAN__)
|
|
|
|
|
outputs = ['GfortranBug86277']
|
2018-06-27 00:24:54 +05:30
|
|
|
outputs = config_phase(phase)%getStrings('(output)',defaultVal=outputs)
|
2018-06-22 11:33:22 +05:30
|
|
|
if (outputs(1) == 'GfortranBug86277') outputs = [character(len=65536)::]
|
|
|
|
|
#else
|
2018-06-27 00:24:54 +05:30
|
|
|
outputs = config_phase(phase)%getStrings('(output)',defaultVal=[character(len=65536)::])
|
2018-06-22 11:33:22 +05:30
|
|
|
#endif
|
2018-06-22 02:08:48 +05:30
|
|
|
allocate(prm%outputID(0))
|
2018-06-01 13:54:42 +05:30
|
|
|
do i=1_pInt, size(outputs)
|
2018-06-01 15:03:13 +05:30
|
|
|
select case(outputs(i))
|
|
|
|
|
case ('flowstress')
|
|
|
|
|
plastic_isotropic_Noutput(instance) = plastic_isotropic_Noutput(instance) + 1_pInt
|
|
|
|
|
plastic_isotropic_output(plastic_isotropic_Noutput(instance),instance) = outputs(i)
|
|
|
|
|
plasticState(phase)%sizePostResults = plasticState(phase)%sizePostResults + 1_pInt
|
|
|
|
|
plastic_isotropic_sizePostResult(i,instance) = 1_pInt
|
2018-06-22 02:08:48 +05:30
|
|
|
prm%outputID = [prm%outputID,flowstress_ID]
|
2018-06-01 15:03:13 +05:30
|
|
|
case ('strainrate')
|
|
|
|
|
plastic_isotropic_Noutput(instance) = plastic_isotropic_Noutput(instance) + 1_pInt
|
|
|
|
|
plastic_isotropic_output(plastic_isotropic_Noutput(instance),instance) = outputs(i)
|
|
|
|
|
plasticState(phase)%sizePostResults = &
|
|
|
|
|
plasticState(phase)%sizePostResults + 1_pInt
|
|
|
|
|
plastic_isotropic_sizePostResult(i,instance) = 1_pInt
|
2018-06-22 02:08:48 +05:30
|
|
|
prm%outputID = [prm%outputID,strainrate_ID]
|
2018-06-01 15:03:13 +05:30
|
|
|
end select
|
2018-06-01 13:54:42 +05:30
|
|
|
enddo
|
2018-06-01 15:03:13 +05:30
|
|
|
|
2016-01-09 01:15:20 +05:30
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
|
|
|
! sanity checks
|
2018-06-01 15:03:13 +05:30
|
|
|
extmsg = ''
|
2018-06-22 02:08:48 +05:30
|
|
|
if (prm%aTolShear <= 0.0_pReal) extmsg = trim(extmsg)//"'aTolShear' "
|
|
|
|
|
if (prm%tau0 < 0.0_pReal) extmsg = trim(extmsg)//"'tau0' "
|
|
|
|
|
if (prm%gdot0 <= 0.0_pReal) extmsg = trim(extmsg)//"'gdot0' "
|
|
|
|
|
if (prm%n <= 0.0_pReal) extmsg = trim(extmsg)//"'n' "
|
|
|
|
|
if (prm%tausat <= prm%tau0) extmsg = trim(extmsg)//"'tausat' "
|
|
|
|
|
if (prm%a <= 0.0_pReal) extmsg = trim(extmsg)//"'a' "
|
|
|
|
|
if (prm%fTaylor <= 0.0_pReal) extmsg = trim(extmsg)//"'m' "
|
|
|
|
|
if (prm%aTolFlowstress <= 0.0_pReal) extmsg = trim(extmsg)//"'atol_flowstress' "
|
2018-06-01 15:03:13 +05:30
|
|
|
if (extmsg /= '') call IO_error(211_pInt,ip=instance,&
|
|
|
|
|
ext_msg=trim(extmsg)//'('//PLASTICITY_ISOTROPIC_label//')')
|
2016-01-09 01:15:20 +05:30
|
|
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
|
|
|
! allocate state arrays
|
2018-06-01 13:54:42 +05:30
|
|
|
NipcMyPhase = count(material_phase == phase) ! number of own material points (including point components ipc)
|
|
|
|
|
|
2018-05-27 17:37:34 +05:30
|
|
|
sizeDotState = size(["flowstress ","accumulated_shear"])
|
2016-01-22 06:38:36 +05:30
|
|
|
sizeDeltaState = 0_pInt ! no sudden jumps in state
|
2017-09-19 05:12:27 +05:30
|
|
|
sizeState = sizeDotState + sizeDeltaState
|
2016-01-09 01:15:20 +05:30
|
|
|
plasticState(phase)%sizeState = sizeState
|
|
|
|
|
plasticState(phase)%sizeDotState = sizeDotState
|
|
|
|
|
plasticState(phase)%sizeDeltaState = sizeDeltaState
|
|
|
|
|
plasticState(phase)%nSlip = 1
|
|
|
|
|
allocate(plasticState(phase)%aTolState ( sizeState))
|
2016-01-22 06:38:36 +05:30
|
|
|
allocate(plasticState(phase)%state0 ( sizeState,NipcMyPhase),source=0.0_pReal)
|
|
|
|
|
allocate(plasticState(phase)%partionedState0 ( sizeState,NipcMyPhase),source=0.0_pReal)
|
|
|
|
|
allocate(plasticState(phase)%subState0 ( sizeState,NipcMyPhase),source=0.0_pReal)
|
|
|
|
|
allocate(plasticState(phase)%state ( sizeState,NipcMyPhase),source=0.0_pReal)
|
|
|
|
|
allocate(plasticState(phase)%dotState (sizeDotState,NipcMyPhase),source=0.0_pReal)
|
|
|
|
|
allocate(plasticState(phase)%deltaState (sizeDeltaState,NipcMyPhase),source=0.0_pReal)
|
2016-01-09 01:15:20 +05:30
|
|
|
if (any(numerics_integrator == 1_pInt)) then
|
2016-01-22 06:38:36 +05:30
|
|
|
allocate(plasticState(phase)%previousDotState (sizeDotState,NipcMyPhase),source=0.0_pReal)
|
|
|
|
|
allocate(plasticState(phase)%previousDotState2(sizeDotState,NipcMyPhase),source=0.0_pReal)
|
2016-01-09 01:15:20 +05:30
|
|
|
endif
|
|
|
|
|
if (any(numerics_integrator == 4_pInt)) &
|
2016-01-22 06:38:36 +05:30
|
|
|
allocate(plasticState(phase)%RK4dotState (sizeDotState,NipcMyPhase),source=0.0_pReal)
|
2016-01-09 01:15:20 +05:30
|
|
|
if (any(numerics_integrator == 5_pInt)) &
|
2016-01-22 06:38:36 +05:30
|
|
|
allocate(plasticState(phase)%RKCK45dotState (6,sizeDotState,NipcMyPhase),source=0.0_pReal)
|
|
|
|
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
2018-05-26 13:01:36 +05:30
|
|
|
! locally defined state aliases and initialization of state0 and aTolState
|
2016-01-22 06:38:36 +05:30
|
|
|
|
|
|
|
|
state(instance)%flowstress => plasticState(phase)%state (1,1:NipcMyPhase)
|
|
|
|
|
dotState(instance)%flowstress => plasticState(phase)%dotState (1,1:NipcMyPhase)
|
2018-06-22 02:08:48 +05:30
|
|
|
plasticState(phase)%state0(1,1:NipcMyPhase) = prm%tau0
|
|
|
|
|
plasticState(phase)%aTolState(1) = prm%aTolFlowstress
|
2016-01-22 06:38:36 +05:30
|
|
|
|
|
|
|
|
state(instance)%accumulatedShear => plasticState(phase)%state (2,1:NipcMyPhase)
|
|
|
|
|
dotState(instance)%accumulatedShear => plasticState(phase)%dotState (2,1:NipcMyPhase)
|
2018-05-26 13:01:36 +05:30
|
|
|
plasticState(phase)%state0 (2,1:NipcMyPhase) = 0.0_pReal
|
2018-06-22 02:08:48 +05:30
|
|
|
plasticState(phase)%aTolState(2) = prm%aTolShear
|
2018-05-26 13:01:36 +05:30
|
|
|
! global alias
|
|
|
|
|
plasticState(phase)%slipRate => plasticState(phase)%dotState(2:2,1:NipcMyPhase)
|
|
|
|
|
plasticState(phase)%accumulatedSlip => plasticState(phase)%state (2:2,1:NipcMyPhase)
|
2016-01-22 06:38:36 +05:30
|
|
|
|
2018-06-01 13:54:42 +05:30
|
|
|
endif
|
|
|
|
|
enddo
|
2016-01-09 01:15:20 +05:30
|
|
|
|
|
|
|
|
end subroutine plastic_isotropic_init
|
|
|
|
|
|
2018-06-01 13:54:42 +05:30
|
|
|
|
2016-01-09 01:15:20 +05:30
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
|
|
|
!> @brief calculates plastic velocity gradient and its tangent
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
|
|
|
subroutine plastic_isotropic_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,ipc,ip,el)
|
|
|
|
|
use debug, only: &
|
|
|
|
|
debug_level, &
|
|
|
|
|
debug_constitutive, &
|
|
|
|
|
debug_levelBasic, &
|
|
|
|
|
debug_levelExtensive, &
|
|
|
|
|
debug_levelSelective, &
|
|
|
|
|
debug_e, &
|
|
|
|
|
debug_i, &
|
|
|
|
|
debug_g
|
|
|
|
|
use math, only: &
|
|
|
|
|
math_mul6x6, &
|
|
|
|
|
math_Mandel6to33, &
|
|
|
|
|
math_Plain3333to99, &
|
|
|
|
|
math_deviatoric33, &
|
2018-06-01 14:54:00 +05:30
|
|
|
math_mul33xx33
|
2016-01-09 01:15:20 +05:30
|
|
|
use material, only: &
|
2016-04-25 02:15:33 +05:30
|
|
|
phasememberAt, &
|
2016-01-09 01:15:20 +05:30
|
|
|
material_phase, &
|
|
|
|
|
phase_plasticityInstance
|
|
|
|
|
|
|
|
|
|
implicit none
|
|
|
|
|
real(pReal), dimension(3,3), intent(out) :: &
|
|
|
|
|
Lp !< plastic velocity gradient
|
|
|
|
|
real(pReal), dimension(9,9), intent(out) :: &
|
|
|
|
|
dLp_dTstar99 !< derivative of Lp with respect to 2nd Piola Kirchhoff stress
|
|
|
|
|
|
|
|
|
|
real(pReal), dimension(6), intent(in) :: &
|
|
|
|
|
Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation
|
|
|
|
|
integer(pInt), intent(in) :: &
|
|
|
|
|
ipc, & !< component-ID of integration point
|
|
|
|
|
ip, & !< integration point
|
|
|
|
|
el !< element
|
|
|
|
|
|
2018-06-22 02:08:48 +05:30
|
|
|
type(tParameters), pointer :: prm
|
2018-05-25 03:26:09 +05:30
|
|
|
|
2016-01-09 01:15:20 +05:30
|
|
|
real(pReal), dimension(3,3) :: &
|
|
|
|
|
Tstar_dev_33 !< deviatoric part of the 2nd Piola Kirchhoff stress tensor as 2nd order tensor
|
|
|
|
|
real(pReal), dimension(3,3,3,3) :: &
|
|
|
|
|
dLp_dTstar_3333 !< derivative of Lp with respect to Tstar as 4th order tensor
|
|
|
|
|
real(pReal) :: &
|
|
|
|
|
gamma_dot, & !< strainrate
|
|
|
|
|
norm_Tstar_dev, & !< euclidean norm of Tstar_dev
|
|
|
|
|
squarenorm_Tstar_dev !< square of the euclidean norm of Tstar_dev
|
|
|
|
|
integer(pInt) :: &
|
2016-01-22 06:38:36 +05:30
|
|
|
instance, of, &
|
2016-01-09 01:15:20 +05:30
|
|
|
k, l, m, n
|
|
|
|
|
|
2016-01-22 06:38:36 +05:30
|
|
|
of = phasememberAt(ipc,ip,el) ! phasememberAt should be tackled by material and be renamed to material_phasemember
|
2016-04-25 02:15:33 +05:30
|
|
|
instance = phase_plasticityInstance(material_phase(ipc,ip,el))
|
2018-06-22 02:08:48 +05:30
|
|
|
prm => param(instance)
|
2018-05-25 03:26:09 +05:30
|
|
|
|
2016-01-09 01:15:20 +05:30
|
|
|
Tstar_dev_33 = math_deviatoric33(math_Mandel6to33(Tstar_v)) ! deviatoric part of 2nd Piola-Kirchhoff stress
|
|
|
|
|
squarenorm_Tstar_dev = math_mul33xx33(Tstar_dev_33,Tstar_dev_33)
|
|
|
|
|
norm_Tstar_dev = sqrt(squarenorm_Tstar_dev)
|
|
|
|
|
|
|
|
|
|
if (norm_Tstar_dev <= 0.0_pReal) then ! Tstar == 0 --> both Lp and dLp_dTstar are zero
|
|
|
|
|
Lp = 0.0_pReal
|
|
|
|
|
dLp_dTstar99 = 0.0_pReal
|
|
|
|
|
else
|
2018-06-22 02:08:48 +05:30
|
|
|
gamma_dot = prm%gdot0 &
|
|
|
|
|
* ( sqrt(1.5_pReal) * norm_Tstar_dev / prm%fTaylor / state(instance)%flowstress(of) ) &
|
|
|
|
|
**prm%n
|
2016-01-09 01:15:20 +05:30
|
|
|
|
2018-06-22 02:08:48 +05:30
|
|
|
Lp = Tstar_dev_33/norm_Tstar_dev * gamma_dot/prm%fTaylor
|
2016-01-09 01:15:20 +05:30
|
|
|
|
|
|
|
|
if (iand(debug_level(debug_constitutive), debug_levelExtensive) /= 0_pInt &
|
|
|
|
|
.and. ((el == debug_e .and. ip == debug_i .and. ipc == debug_g) &
|
|
|
|
|
.or. .not. iand(debug_level(debug_constitutive),debug_levelSelective) /= 0_pInt)) then
|
|
|
|
|
write(6,'(a,i8,1x,i2,1x,i3)') '<< CONST isotropic >> at el ip g ',el,ip,ipc
|
|
|
|
|
write(6,'(/,a,/,3(12x,3(f12.4,1x)/))') '<< CONST isotropic >> Tstar (dev) / MPa', &
|
2018-06-01 14:54:00 +05:30
|
|
|
transpose(Tstar_dev_33(1:3,1:3))*1.0e-6_pReal
|
2016-01-09 01:15:20 +05:30
|
|
|
write(6,'(/,a,/,f12.5)') '<< CONST isotropic >> norm Tstar / MPa', norm_Tstar_dev*1.0e-6_pReal
|
|
|
|
|
write(6,'(/,a,/,f12.5)') '<< CONST isotropic >> gdot', gamma_dot
|
|
|
|
|
end if
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
|
|
|
! Calculation of the tangent of Lp
|
|
|
|
|
forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
|
2018-06-22 02:08:48 +05:30
|
|
|
dLp_dTstar_3333(k,l,m,n) = (prm%n-1.0_pReal) * &
|
2016-01-09 01:15:20 +05:30
|
|
|
Tstar_dev_33(k,l)*Tstar_dev_33(m,n) / squarenorm_Tstar_dev
|
|
|
|
|
forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt) &
|
|
|
|
|
dLp_dTstar_3333(k,l,k,l) = dLp_dTstar_3333(k,l,k,l) + 1.0_pReal
|
|
|
|
|
forall (k=1_pInt:3_pInt,m=1_pInt:3_pInt) &
|
|
|
|
|
dLp_dTstar_3333(k,k,m,m) = dLp_dTstar_3333(k,k,m,m) - 1.0_pReal/3.0_pReal
|
2018-06-22 02:08:48 +05:30
|
|
|
dLp_dTstar99 = math_Plain3333to99(gamma_dot / prm%fTaylor * &
|
2016-01-09 01:15:20 +05:30
|
|
|
dLp_dTstar_3333 / norm_Tstar_dev)
|
|
|
|
|
end if
|
|
|
|
|
end subroutine plastic_isotropic_LpAndItsTangent
|
|
|
|
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
|
|
|
!> @brief calculates plastic velocity gradient and its tangent
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
|
|
|
subroutine plastic_isotropic_LiAndItsTangent(Li,dLi_dTstar_3333,Tstar_v,ipc,ip,el)
|
|
|
|
|
use math, only: &
|
|
|
|
|
math_mul6x6, &
|
|
|
|
|
math_Mandel6to33, &
|
|
|
|
|
math_Plain3333to99, &
|
|
|
|
|
math_spherical33, &
|
|
|
|
|
math_mul33xx33
|
|
|
|
|
use material, only: &
|
2016-03-23 22:47:47 +05:30
|
|
|
phasememberAt, &
|
2016-01-09 01:15:20 +05:30
|
|
|
material_phase, &
|
|
|
|
|
phase_plasticityInstance
|
|
|
|
|
|
|
|
|
|
implicit none
|
|
|
|
|
real(pReal), dimension(3,3), intent(out) :: &
|
|
|
|
|
Li !< plastic velocity gradient
|
2016-04-10 20:22:43 +05:30
|
|
|
real(pReal), dimension(3,3,3,3), intent(out) :: &
|
|
|
|
|
dLi_dTstar_3333 !< derivative of Li with respect to Tstar as 4th order tensor
|
2016-01-09 01:15:20 +05:30
|
|
|
real(pReal), dimension(6), intent(in) :: &
|
|
|
|
|
Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation
|
|
|
|
|
integer(pInt), intent(in) :: &
|
|
|
|
|
ipc, & !< component-ID of integration point
|
|
|
|
|
ip, & !< integration point
|
|
|
|
|
el !< element
|
|
|
|
|
|
2018-06-22 02:08:48 +05:30
|
|
|
type(tParameters), pointer :: prm
|
2018-05-25 03:26:09 +05:30
|
|
|
|
2016-01-09 01:15:20 +05:30
|
|
|
real(pReal), dimension(3,3) :: &
|
|
|
|
|
Tstar_sph_33 !< sphiatoric part of the 2nd Piola Kirchhoff stress tensor as 2nd order tensor
|
2018-05-25 03:26:09 +05:30
|
|
|
real(pReal) :: &
|
2016-01-09 01:15:20 +05:30
|
|
|
gamma_dot, & !< strainrate
|
|
|
|
|
norm_Tstar_sph, & !< euclidean norm of Tstar_sph
|
|
|
|
|
squarenorm_Tstar_sph !< square of the euclidean norm of Tstar_sph
|
|
|
|
|
integer(pInt) :: &
|
2016-01-22 06:38:36 +05:30
|
|
|
instance, of, &
|
2016-01-09 01:15:20 +05:30
|
|
|
k, l, m, n
|
|
|
|
|
|
2016-01-22 06:38:36 +05:30
|
|
|
of = phasememberAt(ipc,ip,el) ! phasememberAt should be tackled by material and be renamed to material_phasemember
|
2016-03-23 22:47:47 +05:30
|
|
|
instance = phase_plasticityInstance(material_phase(ipc,ip,el))
|
2018-06-22 02:08:48 +05:30
|
|
|
prm => param(instance)
|
2018-05-25 03:26:09 +05:30
|
|
|
|
2016-01-09 01:15:20 +05:30
|
|
|
Tstar_sph_33 = math_spherical33(math_Mandel6to33(Tstar_v)) ! spherical part of 2nd Piola-Kirchhoff stress
|
|
|
|
|
squarenorm_Tstar_sph = math_mul33xx33(Tstar_sph_33,Tstar_sph_33)
|
|
|
|
|
norm_Tstar_sph = sqrt(squarenorm_Tstar_sph)
|
|
|
|
|
|
2018-06-22 02:08:48 +05:30
|
|
|
if (prm%dilatation .and. norm_Tstar_sph > 0.0_pReal) then ! Tstar == 0 or J2 plascitiy --> both Li and dLi_dTstar are zero
|
|
|
|
|
gamma_dot = prm%gdot0 &
|
|
|
|
|
* (sqrt(1.5_pReal) * norm_Tstar_sph / prm%fTaylor / state(instance)%flowstress(of) ) &
|
|
|
|
|
**prm%n
|
2016-04-22 15:35:06 +05:30
|
|
|
|
2018-06-22 02:08:48 +05:30
|
|
|
Li = Tstar_sph_33/norm_Tstar_sph * gamma_dot/prm%fTaylor
|
2016-04-22 15:35:06 +05:30
|
|
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
|
|
|
! Calculation of the tangent of Li
|
|
|
|
|
forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
|
2018-06-22 02:08:48 +05:30
|
|
|
dLi_dTstar_3333(k,l,m,n) = (prm%n-1.0_pReal) * &
|
2016-04-22 15:35:06 +05:30
|
|
|
Tstar_sph_33(k,l)*Tstar_sph_33(m,n) / squarenorm_Tstar_sph
|
|
|
|
|
forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt) &
|
|
|
|
|
dLi_dTstar_3333(k,l,k,l) = dLi_dTstar_3333(k,l,k,l) + 1.0_pReal
|
|
|
|
|
|
2018-06-22 02:08:48 +05:30
|
|
|
dLi_dTstar_3333 = gamma_dot / prm%fTaylor * &
|
2016-04-22 15:35:06 +05:30
|
|
|
dLi_dTstar_3333 / norm_Tstar_sph
|
2016-04-10 20:22:43 +05:30
|
|
|
else
|
|
|
|
|
Li = 0.0_pReal
|
|
|
|
|
dLi_dTstar_3333 = 0.0_pReal
|
2016-01-09 09:11:56 +05:30
|
|
|
endif
|
2018-05-25 04:01:32 +05:30
|
|
|
end subroutine plastic_isotropic_LiAndItsTangent
|
2016-01-09 01:15:20 +05:30
|
|
|
|
|
|
|
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
|
|
|
!> @brief calculates the rate of change of microstructure
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
|
|
|
subroutine plastic_isotropic_dotState(Tstar_v,ipc,ip,el)
|
2016-05-29 14:15:03 +05:30
|
|
|
use prec, only: &
|
2016-10-29 13:09:08 +05:30
|
|
|
dEq0
|
2016-01-09 01:15:20 +05:30
|
|
|
use math, only: &
|
|
|
|
|
math_mul6x6
|
|
|
|
|
use material, only: &
|
2016-03-23 22:47:47 +05:30
|
|
|
phasememberAt, &
|
2016-01-09 01:15:20 +05:30
|
|
|
material_phase, &
|
|
|
|
|
phase_plasticityInstance
|
|
|
|
|
|
|
|
|
|
implicit none
|
|
|
|
|
real(pReal), dimension(6), intent(in):: &
|
|
|
|
|
Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation
|
|
|
|
|
integer(pInt), intent(in) :: &
|
|
|
|
|
ipc, & !< component-ID of integration point
|
|
|
|
|
ip, & !< integration point
|
|
|
|
|
el !< element
|
2018-06-22 02:08:48 +05:30
|
|
|
type(tParameters), pointer :: prm
|
2016-01-09 01:15:20 +05:30
|
|
|
real(pReal), dimension(6) :: &
|
|
|
|
|
Tstar_dev_v !< deviatoric 2nd Piola Kirchhoff stress tensor in Mandel notation
|
|
|
|
|
real(pReal) :: &
|
|
|
|
|
gamma_dot, & !< strainrate
|
|
|
|
|
hardening, & !< hardening coefficient
|
2016-01-22 06:38:36 +05:30
|
|
|
saturation, & !< saturation flowstress
|
2016-01-09 01:15:20 +05:30
|
|
|
norm_Tstar_v !< euclidean norm of Tstar_dev
|
|
|
|
|
integer(pInt) :: &
|
|
|
|
|
instance, & !< instance of my instance (unique number of my constitutive model)
|
2016-01-22 06:38:36 +05:30
|
|
|
of !< shortcut notation for offset position in state array
|
2016-01-09 01:15:20 +05:30
|
|
|
|
2016-01-22 06:38:36 +05:30
|
|
|
of = phasememberAt(ipc,ip,el) ! phasememberAt should be tackled by material and be renamed to material_phasemember
|
2016-03-23 22:47:47 +05:30
|
|
|
instance = phase_plasticityInstance(material_phase(ipc,ip,el))
|
2018-06-22 02:08:48 +05:30
|
|
|
prm => param(instance)
|
2018-05-25 03:26:09 +05:30
|
|
|
|
2016-01-09 01:15:20 +05:30
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
|
|
|
! norm of (deviatoric) 2nd Piola-Kirchhoff stress
|
2018-06-22 02:08:48 +05:30
|
|
|
if (prm%dilatation) then
|
2016-01-09 01:15:20 +05:30
|
|
|
norm_Tstar_v = sqrt(math_mul6x6(Tstar_v,Tstar_v))
|
|
|
|
|
else
|
|
|
|
|
Tstar_dev_v(1:3) = Tstar_v(1:3) - sum(Tstar_v(1:3))/3.0_pReal
|
|
|
|
|
Tstar_dev_v(4:6) = Tstar_v(4:6)
|
|
|
|
|
norm_Tstar_v = sqrt(math_mul6x6(Tstar_dev_v,Tstar_dev_v))
|
|
|
|
|
end if
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
|
|
|
! strain rate
|
2018-06-22 02:08:48 +05:30
|
|
|
gamma_dot = prm%gdot0 * ( sqrt(1.5_pReal) * norm_Tstar_v &
|
2016-01-09 01:15:20 +05:30
|
|
|
/ &!-----------------------------------------------------------------------------------
|
2018-06-22 02:08:48 +05:30
|
|
|
(prm%fTaylor*state(instance)%flowstress(of) ))**prm%n
|
2016-01-09 01:15:20 +05:30
|
|
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
|
|
|
! hardening coefficient
|
|
|
|
|
if (abs(gamma_dot) > 1e-12_pReal) then
|
2018-06-22 02:08:48 +05:30
|
|
|
if (dEq0(prm%tausat_SinhFitA)) then
|
|
|
|
|
saturation = prm%tausat
|
2016-01-09 01:15:20 +05:30
|
|
|
else
|
2018-06-22 02:08:48 +05:30
|
|
|
saturation = prm%tausat &
|
|
|
|
|
+ asinh( (gamma_dot / prm%tausat_SinhFitA&
|
|
|
|
|
)**(1.0_pReal / prm%tausat_SinhFitD)&
|
|
|
|
|
)**(1.0_pReal / prm%tausat_SinhFitC) &
|
|
|
|
|
/ ( prm%tausat_SinhFitB &
|
|
|
|
|
* (gamma_dot / prm%gdot0)**(1.0_pReal / prm%n) &
|
2017-05-10 11:10:26 +05:30
|
|
|
)
|
2016-01-09 01:15:20 +05:30
|
|
|
endif
|
2018-06-22 02:08:48 +05:30
|
|
|
hardening = ( prm%h0 + prm%h0_slopeLnRate * log(gamma_dot) ) &
|
|
|
|
|
* abs( 1.0_pReal - state(instance)%flowstress(of)/saturation )**prm%a &
|
2016-01-22 06:38:36 +05:30
|
|
|
* sign(1.0_pReal, 1.0_pReal - state(instance)%flowstress(of)/saturation)
|
2016-01-09 01:15:20 +05:30
|
|
|
else
|
|
|
|
|
hardening = 0.0_pReal
|
|
|
|
|
endif
|
|
|
|
|
|
2016-01-22 06:38:36 +05:30
|
|
|
dotState(instance)%flowstress (of) = hardening * gamma_dot
|
|
|
|
|
dotState(instance)%accumulatedShear(of) = gamma_dot
|
2016-01-09 01:15:20 +05:30
|
|
|
|
|
|
|
|
end subroutine plastic_isotropic_dotState
|
|
|
|
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
|
|
|
!> @brief return array of constitutive results
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
|
|
|
function plastic_isotropic_postResults(Tstar_v,ipc,ip,el)
|
|
|
|
|
use math, only: &
|
|
|
|
|
math_mul6x6
|
|
|
|
|
use material, only: &
|
2018-06-01 14:54:00 +05:30
|
|
|
plasticState, &
|
2016-01-09 01:15:20 +05:30
|
|
|
material_phase, &
|
2016-03-23 22:47:47 +05:30
|
|
|
phasememberAt, &
|
2016-01-09 01:15:20 +05:30
|
|
|
phase_plasticityInstance
|
|
|
|
|
|
|
|
|
|
implicit none
|
|
|
|
|
real(pReal), dimension(6), intent(in) :: &
|
|
|
|
|
Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation
|
|
|
|
|
integer(pInt), intent(in) :: &
|
|
|
|
|
ipc, & !< component-ID of integration point
|
|
|
|
|
ip, & !< integration point
|
|
|
|
|
el !< element
|
2018-05-25 03:26:09 +05:30
|
|
|
|
2018-06-22 02:08:48 +05:30
|
|
|
type(tParameters), pointer :: prm
|
2018-05-25 03:26:09 +05:30
|
|
|
|
2018-06-01 14:54:00 +05:30
|
|
|
real(pReal), dimension(plasticState(material_phase(ipc,ip,el))%sizePostResults) :: &
|
2016-01-09 01:15:20 +05:30
|
|
|
plastic_isotropic_postResults
|
|
|
|
|
|
|
|
|
|
real(pReal), dimension(6) :: &
|
|
|
|
|
Tstar_dev_v !< deviatoric 2nd Piola Kirchhoff stress tensor in Mandel notation
|
|
|
|
|
real(pReal) :: &
|
|
|
|
|
norm_Tstar_v ! euclidean norm of Tstar_dev
|
|
|
|
|
integer(pInt) :: &
|
|
|
|
|
instance, & !< instance of my instance (unique number of my constitutive model)
|
|
|
|
|
of, & !< shortcut notation for offset position in state array
|
|
|
|
|
c, &
|
|
|
|
|
o
|
|
|
|
|
|
2016-01-22 06:38:36 +05:30
|
|
|
of = phasememberAt(ipc,ip,el) ! phasememberAt should be tackled by material and be renamed to material_phasemember
|
2016-03-23 22:47:47 +05:30
|
|
|
instance = phase_plasticityInstance(material_phase(ipc,ip,el))
|
2018-06-22 02:08:48 +05:30
|
|
|
prm => param(instance)
|
2016-01-09 01:15:20 +05:30
|
|
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
|
|
|
! norm of (deviatoric) 2nd Piola-Kirchhoff stress
|
2018-06-22 02:08:48 +05:30
|
|
|
if (prm%dilatation) then
|
2016-01-09 01:15:20 +05:30
|
|
|
norm_Tstar_v = sqrt(math_mul6x6(Tstar_v,Tstar_v))
|
|
|
|
|
else
|
|
|
|
|
Tstar_dev_v(1:3) = Tstar_v(1:3) - sum(Tstar_v(1:3))/3.0_pReal
|
|
|
|
|
Tstar_dev_v(4:6) = Tstar_v(4:6)
|
|
|
|
|
norm_Tstar_v = sqrt(math_mul6x6(Tstar_dev_v,Tstar_dev_v))
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
c = 0_pInt
|
|
|
|
|
plastic_isotropic_postResults = 0.0_pReal
|
|
|
|
|
|
2016-01-22 13:43:05 +05:30
|
|
|
outputsLoop: do o = 1_pInt,plastic_isotropic_Noutput(instance)
|
2018-06-22 02:08:48 +05:30
|
|
|
select case(prm%outputID(o))
|
2016-01-09 01:15:20 +05:30
|
|
|
case (flowstress_ID)
|
2016-01-22 06:38:36 +05:30
|
|
|
plastic_isotropic_postResults(c+1_pInt) = state(instance)%flowstress(of)
|
2016-01-09 01:15:20 +05:30
|
|
|
c = c + 1_pInt
|
|
|
|
|
case (strainrate_ID)
|
|
|
|
|
plastic_isotropic_postResults(c+1_pInt) = &
|
2018-06-22 02:08:48 +05:30
|
|
|
prm%gdot0 * ( sqrt(1.5_pReal) * norm_Tstar_v &
|
2016-01-09 01:15:20 +05:30
|
|
|
/ &!----------------------------------------------------------------------------------
|
2018-06-22 02:08:48 +05:30
|
|
|
(prm%fTaylor * state(instance)%flowstress(of)) ) ** prm%n
|
2016-01-09 01:15:20 +05:30
|
|
|
c = c + 1_pInt
|
|
|
|
|
end select
|
|
|
|
|
enddo outputsLoop
|
|
|
|
|
|
|
|
|
|
end function plastic_isotropic_postResults
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
end module plastic_isotropic
|
