consistent indentation

This commit is contained in:
Martin Diehl 2019-03-27 22:42:02 +01:00
parent 464375a54e
commit 3700bacccc
1 changed files with 394 additions and 395 deletions

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@ -8,53 +8,53 @@
!! untextured polycrystal !! untextured polycrystal
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
module plastic_isotropic module plastic_isotropic
use prec, only: & use prec, only: &
pReal, & pReal, &
pInt pInt
implicit none implicit none
private private
integer, dimension(:,:), allocatable, target, public :: & integer, dimension(:,:), allocatable, target, public :: &
plastic_isotropic_sizePostResult !< size of each post result output plastic_isotropic_sizePostResult !< size of each post result output
character(len=64), dimension(:,:), allocatable, target, public :: & character(len=64), dimension(:,:), allocatable, target, public :: &
plastic_isotropic_output !< name of each post result output plastic_isotropic_output !< name of each post result output
enum, bind(c) enum, bind(c)
enumerator :: & enumerator :: &
undefined_ID, & undefined_ID, &
flowstress_ID, & flowstress_ID, &
strainrate_ID strainrate_ID
end enum end enum
type, private :: tParameters type, private :: tParameters
real(pReal) :: & real(pReal) :: &
fTaylor, & !< Taylor factor fTaylor, & !< Taylor factor
tau0, & !< initial critical stress tau0, & !< initial critical stress
gdot0, & !< reference strain rate gdot0, & !< reference strain rate
n, & !< stress exponent n, & !< stress exponent
h0, & h0, &
h0_slopeLnRate, & h0_slopeLnRate, &
tausat, & !< maximum critical stress tausat, & !< maximum critical stress
a, & a, &
tausat_SinhFitA, & tausat_SinhFitA, &
tausat_SinhFitB, & tausat_SinhFitB, &
tausat_SinhFitC, & tausat_SinhFitC, &
tausat_SinhFitD, & tausat_SinhFitD, &
aTolFlowstress, & aTolFlowstress, &
aTolShear aTolShear
integer :: & integer :: &
of_debug = 0 of_debug = 0
integer(kind(undefined_ID)), allocatable, dimension(:) :: & integer(kind(undefined_ID)), allocatable, dimension(:) :: &
outputID outputID
logical :: & logical :: &
dilatation dilatation
end type tParameters end type tParameters
type, private :: tIsotropicState type, private :: tIsotropicState
real(pReal), pointer, dimension(:) :: & real(pReal), pointer, dimension(:) :: &
flowstress, & flowstress, &
accumulatedShear accumulatedShear
end type tIsotropicState end type tIsotropicState
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! containers for parameters and state ! containers for parameters and state
@ -78,170 +78,169 @@ contains
!> @details reads in material parameters, allocates arrays, and does sanity checks !> @details reads in material parameters, allocates arrays, and does sanity checks
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
subroutine plastic_isotropic_init subroutine plastic_isotropic_init
use prec, only: & use prec, only: &
pStringLen pStringLen
use debug, only: & use debug, only: &
#ifdef DEBUG #ifdef DEBUG
debug_e, & debug_e, &
debug_i, & debug_i, &
debug_g, & debug_g, &
debug_levelExtensive, & debug_levelExtensive, &
#endif #endif
debug_level, & debug_level, &
debug_constitutive, & debug_constitutive, &
debug_levelBasic debug_levelBasic
use IO, only: & use IO, only: &
IO_error IO_error
use material, only: & use material, only: &
#ifdef DEBUG #ifdef DEBUG
phasememberAt, & phasememberAt, &
#endif #endif
phase_plasticity, & phase_plasticity, &
phase_plasticityInstance, & phase_plasticityInstance, &
phase_Noutput, & phase_Noutput, &
material_allocatePlasticState, & material_allocatePlasticState, &
PLASTICITY_ISOTROPIC_label, & PLASTICITY_ISOTROPIC_label, &
PLASTICITY_ISOTROPIC_ID, & PLASTICITY_ISOTROPIC_ID, &
material_phase, & material_phase, &
plasticState plasticState
use config, only: & use config, only: &
config_phase config_phase
use lattice use lattice
implicit none implicit none
integer :: & integer :: &
Ninstance, & Ninstance, &
p, i, & p, i, &
NipcMyPhase, & NipcMyPhase, &
sizeState, sizeDotState sizeState, sizeDotState
character(len=65536), dimension(0), parameter :: emptyStringArray = [character(len=65536)::] character(len=65536), dimension(0), parameter :: emptyStringArray = [character(len=65536)::]
integer(kind(undefined_ID)) :: & integer(kind(undefined_ID)) :: &
outputID outputID
character(len=pStringLen) :: & character(len=pStringLen) :: &
extmsg = '' extmsg = ''
character(len=65536), dimension(:), allocatable :: & character(len=65536), dimension(:), allocatable :: &
outputs outputs
write(6,'(/,a)') ' <<<+- plastic_'//PLASTICITY_ISOTROPIC_label//' init -+>>>' write(6,'(/,a)') ' <<<+- plastic_'//PLASTICITY_ISOTROPIC_label//' init -+>>>'
write(6,'(/,a)') ' Maiti and Eisenlohr, Scripta Materialia 145:3740, 2018' write(6,'(/,a)') ' Maiti and Eisenlohr, Scripta Materialia 145:3740, 2018'
write(6,'(a)') ' https://doi.org/10.1016/j.scriptamat.2017.09.047' write(6,'(a)') ' https://doi.org/10.1016/j.scriptamat.2017.09.047'
Ninstance = count(phase_plasticity == PLASTICITY_ISOTROPIC_ID) Ninstance = count(phase_plasticity == PLASTICITY_ISOTROPIC_ID)
if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) & if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) &
write(6,'(a16,1x,i5,/)') '# instances:',Ninstance write(6,'(a16,1x,i5,/)') '# instances:',Ninstance
allocate(plastic_isotropic_sizePostResult(maxval(phase_Noutput),Ninstance),source=0) allocate(plastic_isotropic_sizePostResult(maxval(phase_Noutput),Ninstance),source=0)
allocate(plastic_isotropic_output(maxval(phase_Noutput),Ninstance)) allocate(plastic_isotropic_output(maxval(phase_Noutput),Ninstance))
plastic_isotropic_output = '' plastic_isotropic_output = ''
allocate(param(Ninstance)) allocate(param(Ninstance))
allocate(state(Ninstance)) allocate(state(Ninstance))
allocate(dotState(Ninstance)) allocate(dotState(Ninstance))
do p = 1, size(phase_plasticity) do p = 1, size(phase_plasticity)
if (phase_plasticity(p) /= PLASTICITY_ISOTROPIC_ID) cycle if (phase_plasticity(p) /= PLASTICITY_ISOTROPIC_ID) cycle
associate(prm => param(phase_plasticityInstance(p)), & associate(prm => param(phase_plasticityInstance(p)), &
dot => dotState(phase_plasticityInstance(p)), & dot => dotState(phase_plasticityInstance(p)), &
stt => state(phase_plasticityInstance(p)), & stt => state(phase_plasticityInstance(p)), &
config => config_phase(p)) config => config_phase(p))
#ifdef DEBUG #ifdef DEBUG
if (p==material_phase(debug_g,debug_i,debug_e)) then if (p==material_phase(debug_g,debug_i,debug_e)) &
prm%of_debug = phasememberAt(debug_g,debug_i,debug_e) prm%of_debug = phasememberAt(debug_g,debug_i,debug_e)
endif
#endif #endif
prm%tau0 = config%getFloat('tau0') prm%tau0 = config%getFloat('tau0')
prm%tausat = config%getFloat('tausat') prm%tausat = config%getFloat('tausat')
prm%gdot0 = config%getFloat('gdot0') prm%gdot0 = config%getFloat('gdot0')
prm%n = config%getFloat('n') prm%n = config%getFloat('n')
prm%h0 = config%getFloat('h0') prm%h0 = config%getFloat('h0')
prm%fTaylor = config%getFloat('m') prm%fTaylor = config%getFloat('m')
prm%h0_slopeLnRate = config%getFloat('h0_slopelnrate', defaultVal=0.0_pReal) prm%h0_slopeLnRate = config%getFloat('h0_slopelnrate', defaultVal=0.0_pReal)
prm%tausat_SinhFitA = config%getFloat('tausat_sinhfita',defaultVal=0.0_pReal) prm%tausat_SinhFitA = config%getFloat('tausat_sinhfita',defaultVal=0.0_pReal)
prm%tausat_SinhFitB = config%getFloat('tausat_sinhfitb',defaultVal=0.0_pReal) prm%tausat_SinhFitB = config%getFloat('tausat_sinhfitb',defaultVal=0.0_pReal)
prm%tausat_SinhFitC = config%getFloat('tausat_sinhfitc',defaultVal=0.0_pReal) prm%tausat_SinhFitC = config%getFloat('tausat_sinhfitc',defaultVal=0.0_pReal)
prm%tausat_SinhFitD = config%getFloat('tausat_sinhfitd',defaultVal=0.0_pReal) prm%tausat_SinhFitD = config%getFloat('tausat_sinhfitd',defaultVal=0.0_pReal)
prm%a = config%getFloat('a') prm%a = config%getFloat('a')
prm%aTolFlowStress = config%getFloat('atol_flowstress',defaultVal=1.0_pReal) prm%aTolFlowStress = config%getFloat('atol_flowstress',defaultVal=1.0_pReal)
prm%aTolShear = config%getFloat('atol_shear', defaultVal=1.0e-6_pReal) prm%aTolShear = config%getFloat('atol_shear', defaultVal=1.0e-6_pReal)
prm%dilatation = config%keyExists('/dilatation/') prm%dilatation = config%keyExists('/dilatation/')
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! sanity checks ! sanity checks
extmsg = '' extmsg = ''
if (prm%aTolShear <= 0.0_pReal) extmsg = trim(extmsg)//' aTolShear' if (prm%aTolShear <= 0.0_pReal) extmsg = trim(extmsg)//' aTolShear'
if (prm%tau0 < 0.0_pReal) extmsg = trim(extmsg)//' tau0' if (prm%tau0 < 0.0_pReal) extmsg = trim(extmsg)//' tau0'
if (prm%gdot0 <= 0.0_pReal) extmsg = trim(extmsg)//' gdot0' if (prm%gdot0 <= 0.0_pReal) extmsg = trim(extmsg)//' gdot0'
if (prm%n <= 0.0_pReal) extmsg = trim(extmsg)//' n' if (prm%n <= 0.0_pReal) extmsg = trim(extmsg)//' n'
if (prm%tausat <= prm%tau0) extmsg = trim(extmsg)//' tausat' if (prm%tausat <= prm%tau0) extmsg = trim(extmsg)//' tausat'
if (prm%a <= 0.0_pReal) extmsg = trim(extmsg)//' a' if (prm%a <= 0.0_pReal) extmsg = trim(extmsg)//' a'
if (prm%fTaylor <= 0.0_pReal) extmsg = trim(extmsg)//' m' if (prm%fTaylor <= 0.0_pReal) extmsg = trim(extmsg)//' m'
if (prm%aTolFlowstress <= 0.0_pReal) extmsg = trim(extmsg)//' atol_flowstress' if (prm%aTolFlowstress <= 0.0_pReal) extmsg = trim(extmsg)//' atol_flowstress'
if (prm%aTolShear <= 0.0_pReal) extmsg = trim(extmsg)//' atol_shear' if (prm%aTolShear <= 0.0_pReal) extmsg = trim(extmsg)//' atol_shear'
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! exit if any parameter is out of range ! exit if any parameter is out of range
if (extmsg /= '') & if (extmsg /= '') &
call IO_error(211,ext_msg=trim(extmsg)//'('//PLASTICITY_ISOTROPIC_label//')') call IO_error(211,ext_msg=trim(extmsg)//'('//PLASTICITY_ISOTROPIC_label//')')
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! output pararameters ! output pararameters
outputs = config%getStrings('(output)',defaultVal=emptyStringArray) outputs = config%getStrings('(output)',defaultVal=emptyStringArray)
allocate(prm%outputID(0)) allocate(prm%outputID(0))
do i=1, size(outputs) do i=1, size(outputs)
outputID = undefined_ID outputID = undefined_ID
select case(outputs(i)) select case(outputs(i))
case ('flowstress') case ('flowstress')
outputID = flowstress_ID outputID = flowstress_ID
case ('strainrate') case ('strainrate')
outputID = strainrate_ID outputID = strainrate_ID
end select end select
if (outputID /= undefined_ID) then if (outputID /= undefined_ID) then
plastic_isotropic_output(i,phase_plasticityInstance(p)) = outputs(i) plastic_isotropic_output(i,phase_plasticityInstance(p)) = outputs(i)
plastic_isotropic_sizePostResult(i,phase_plasticityInstance(p)) = 1 plastic_isotropic_sizePostResult(i,phase_plasticityInstance(p)) = 1
prm%outputID = [prm%outputID, outputID] prm%outputID = [prm%outputID, outputID]
endif endif
enddo enddo
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! allocate state arrays ! allocate state arrays
NipcMyPhase = count(material_phase == p) NipcMyPhase = count(material_phase == p)
sizeDotState = size(['flowstress ','accumulated_shear']) sizeDotState = size(['flowstress ','accumulated_shear'])
sizeState = sizeDotState sizeState = sizeDotState
call material_allocatePlasticState(p,NipcMyPhase,sizeState,sizeDotState,0, & call material_allocatePlasticState(p,NipcMyPhase,sizeState,sizeDotState,0, &
1,0,0) 1,0,0)
plasticState(p)%sizePostResults = sum(plastic_isotropic_sizePostResult(:,phase_plasticityInstance(p))) plasticState(p)%sizePostResults = sum(plastic_isotropic_sizePostResult(:,phase_plasticityInstance(p)))
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! locally defined state aliases and initialization of state0 and aTolState ! locally defined state aliases and initialization of state0 and aTolState
stt%flowstress => plasticState(p)%state (1,:) stt%flowstress => plasticState(p)%state (1,:)
stt%flowstress = prm%tau0 stt%flowstress = prm%tau0
dot%flowstress => plasticState(p)%dotState(1,:) dot%flowstress => plasticState(p)%dotState(1,:)
plasticState(p)%aTolState(1) = prm%aTolFlowstress plasticState(p)%aTolState(1) = prm%aTolFlowstress
stt%accumulatedShear => plasticState(p)%state (2,:) stt%accumulatedShear => plasticState(p)%state (2,:)
dot%accumulatedShear => plasticState(p)%dotState(2,:) dot%accumulatedShear => plasticState(p)%dotState(2,:)
plasticState(p)%aTolState(2) = prm%aTolShear plasticState(p)%aTolState(2) = prm%aTolShear
! global alias ! global alias
plasticState(p)%slipRate => plasticState(p)%dotState(2:2,:) plasticState(p)%slipRate => plasticState(p)%dotState(2:2,:)
plasticState(p)%accumulatedSlip => plasticState(p)%state (2:2,:) plasticState(p)%accumulatedSlip => plasticState(p)%state (2:2,:)
plasticState(p)%state0 = plasticState(p)%state ! ToDo: this could be done centrally plasticState(p)%state0 = plasticState(p)%state ! ToDo: this could be done centrally
end associate end associate
enddo enddo
end subroutine plastic_isotropic_init end subroutine plastic_isotropic_init
@ -251,69 +250,69 @@ end subroutine plastic_isotropic_init
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
subroutine plastic_isotropic_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of) subroutine plastic_isotropic_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of)
#ifdef DEBUG #ifdef DEBUG
use debug, only: & use debug, only: &
debug_level, & debug_level, &
debug_constitutive,& debug_constitutive,&
debug_levelExtensive, & debug_levelExtensive, &
debug_levelSelective debug_levelSelective
#endif #endif
use math, only: & use math, only: &
math_deviatoric33, & math_deviatoric33, &
math_mul33xx33 math_mul33xx33
implicit none implicit none
real(pReal), dimension(3,3), intent(out) :: & real(pReal), dimension(3,3), intent(out) :: &
Lp !< plastic velocity gradient Lp !< plastic velocity gradient
real(pReal), dimension(3,3,3,3), intent(out) :: & real(pReal), dimension(3,3,3,3), intent(out) :: &
dLp_dMp !< derivative of Lp with respect to the Mandel stress dLp_dMp !< derivative of Lp with respect to the Mandel stress
real(pReal), dimension(3,3), intent(in) :: & real(pReal), dimension(3,3), intent(in) :: &
Mp !< Mandel stress Mp !< Mandel stress
integer, intent(in) :: & integer, intent(in) :: &
instance, & instance, &
of of
real(pReal), dimension(3,3) :: & real(pReal), dimension(3,3) :: &
Mp_dev !< deviatoric part of the Mandel stress Mp_dev !< deviatoric part of the Mandel stress
real(pReal) :: & real(pReal) :: &
gamma_dot, & !< strainrate gamma_dot, & !< strainrate
norm_Mp_dev, & !< norm of the deviatoric part of the Mandel stress norm_Mp_dev, & !< norm of the deviatoric part of the Mandel stress
squarenorm_Mp_dev !< square of the norm of the deviatoric part of the Mandel stress squarenorm_Mp_dev !< square of the norm of the deviatoric part of the Mandel stress
integer :: & integer :: &
k, l, m, n k, l, m, n
associate(prm => param(instance), stt => state(instance)) associate(prm => param(instance), stt => state(instance))
Mp_dev = math_deviatoric33(Mp) Mp_dev = math_deviatoric33(Mp)
squarenorm_Mp_dev = math_mul33xx33(Mp_dev,Mp_dev) squarenorm_Mp_dev = math_mul33xx33(Mp_dev,Mp_dev)
norm_Mp_dev = sqrt(squarenorm_Mp_dev) norm_Mp_dev = sqrt(squarenorm_Mp_dev)
if (norm_Mp_dev > 0.0_pReal) then if (norm_Mp_dev > 0.0_pReal) then
gamma_dot = prm%gdot0 * (sqrt(1.5_pReal) * norm_Mp_dev/(prm%fTaylor*stt%flowstress(of))) **prm%n gamma_dot = prm%gdot0 * (sqrt(1.5_pReal) * norm_Mp_dev/(prm%fTaylor*stt%flowstress(of))) **prm%n
Lp = Mp_dev/norm_Mp_dev * gamma_dot/prm%fTaylor Lp = Mp_dev/norm_Mp_dev * gamma_dot/prm%fTaylor
#ifdef DEBUG #ifdef DEBUG
if (iand(debug_level(debug_constitutive), debug_levelExtensive) /= 0 & 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 .and. (of == prm%of_debug .or. .not. iand(debug_level(debug_constitutive),debug_levelSelective) /= 0)) then
write(6,'(/,a,/,3(12x,3(f12.4,1x)/))') '<< CONST isotropic >> Tstar (dev) / MPa', & write(6,'(/,a,/,3(12x,3(f12.4,1x)/))') '<< CONST isotropic >> Tstar (dev) / MPa', &
transpose(Mp_dev)*1.0e-6_pReal transpose(Mp_dev)*1.0e-6_pReal
write(6,'(/,a,/,f12.5)') '<< CONST isotropic >> norm Tstar / MPa', norm_Mp_dev*1.0e-6_pReal write(6,'(/,a,/,f12.5)') '<< CONST isotropic >> norm Tstar / MPa', norm_Mp_dev*1.0e-6_pReal
write(6,'(/,a,/,f12.5)') '<< CONST isotropic >> gdot', gamma_dot write(6,'(/,a,/,f12.5)') '<< CONST isotropic >> gdot', gamma_dot
end if end if
#endif #endif
forall (k=1:3,l=1:3,m=1:3,n=1:3) & forall (k=1:3,l=1:3,m=1:3,n=1:3) &
dLp_dMp(k,l,m,n) = (prm%n-1.0_pReal) * Mp_dev(k,l)*Mp_dev(m,n) / squarenorm_Mp_dev dLp_dMp(k,l,m,n) = (prm%n-1.0_pReal) * Mp_dev(k,l)*Mp_dev(m,n) / squarenorm_Mp_dev
forall (k=1:3,l=1:3) & forall (k=1:3,l=1:3) &
dLp_dMp(k,l,k,l) = dLp_dMp(k,l,k,l) + 1.0_pReal dLp_dMp(k,l,k,l) = dLp_dMp(k,l,k,l) + 1.0_pReal
forall (k=1:3,m=1:3) & forall (k=1:3,m=1:3) &
dLp_dMp(k,k,m,m) = dLp_dMp(k,k,m,m) - 1.0_pReal/3.0_pReal dLp_dMp(k,k,m,m) = dLp_dMp(k,k,m,m) - 1.0_pReal/3.0_pReal
dLp_dMp = gamma_dot / prm%fTaylor * dLp_dMp / norm_Mp_dev dLp_dMp = gamma_dot / prm%fTaylor * dLp_dMp / norm_Mp_dev
else else
Lp = 0.0_pReal Lp = 0.0_pReal
dLp_dMp = 0.0_pReal dLp_dMp = 0.0_pReal
end if end if
end associate end associate
end subroutine plastic_isotropic_LpAndItsTangent end subroutine plastic_isotropic_LpAndItsTangent
@ -323,53 +322,53 @@ end subroutine plastic_isotropic_LpAndItsTangent
! ToDo: Rename Tstar to Mi? ! ToDo: Rename Tstar to Mi?
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
subroutine plastic_isotropic_LiAndItsTangent(Li,dLi_dTstar,Tstar,instance,of) subroutine plastic_isotropic_LiAndItsTangent(Li,dLi_dTstar,Tstar,instance,of)
use math, only: & use math, only: &
math_spherical33, & math_spherical33, &
math_mul33xx33 math_mul33xx33
implicit none implicit none
real(pReal), dimension(3,3), intent(out) :: & real(pReal), dimension(3,3), intent(out) :: &
Li !< inleastic velocity gradient Li !< inleastic velocity gradient
real(pReal), dimension(3,3,3,3), intent(out) :: & real(pReal), dimension(3,3,3,3), intent(out) :: &
dLi_dTstar !< derivative of Li with respect to the Mandel stress dLi_dTstar !< derivative of Li with respect to the Mandel stress
real(pReal), dimension(3,3), intent(in) :: & real(pReal), dimension(3,3), intent(in) :: &
Tstar !< Mandel stress ToDo: Mi? Tstar !< Mandel stress ToDo: Mi?
integer, intent(in) :: & integer, intent(in) :: &
instance, & instance, &
of of
real(pReal), dimension(3,3) :: & real(pReal), dimension(3,3) :: &
Tstar_sph !< sphiatoric part of the Mandel stress Tstar_sph !< sphiatoric part of the Mandel stress
real(pReal) :: & real(pReal) :: &
gamma_dot, & !< strainrate gamma_dot, & !< strainrate
norm_Tstar_sph, & !< euclidean norm of Tstar_sph norm_Tstar_sph, & !< euclidean norm of Tstar_sph
squarenorm_Tstar_sph !< square of the euclidean norm of Tstar_sph squarenorm_Tstar_sph !< square of the euclidean norm of Tstar_sph
integer :: & integer :: &
k, l, m, n k, l, m, n
associate(prm => param(instance), stt => state(instance)) associate(prm => param(instance), stt => state(instance))
Tstar_sph = math_spherical33(Tstar) Tstar_sph = math_spherical33(Tstar)
squarenorm_Tstar_sph = math_mul33xx33(Tstar_sph,Tstar_sph) squarenorm_Tstar_sph = math_mul33xx33(Tstar_sph,Tstar_sph)
norm_Tstar_sph = sqrt(squarenorm_Tstar_sph) norm_Tstar_sph = sqrt(squarenorm_Tstar_sph)
if (prm%dilatation .and. norm_Tstar_sph > 0.0_pReal) then ! no stress or J2 plastitiy --> Li and its derivative are zero if (prm%dilatation .and. norm_Tstar_sph > 0.0_pReal) then ! no stress or J2 plastitiy --> Li and its derivative are zero
gamma_dot = prm%gdot0 * (sqrt(1.5_pReal) * norm_Tstar_sph /(prm%fTaylor*stt%flowstress(of))) **prm%n gamma_dot = prm%gdot0 * (sqrt(1.5_pReal) * norm_Tstar_sph /(prm%fTaylor*stt%flowstress(of))) **prm%n
Li = Tstar_sph/norm_Tstar_sph * gamma_dot/prm%fTaylor Li = Tstar_sph/norm_Tstar_sph * gamma_dot/prm%fTaylor
forall (k=1:3,l=1:3,m=1:3,n=1:3) & forall (k=1:3,l=1:3,m=1:3,n=1:3) &
dLi_dTstar(k,l,m,n) = (prm%n-1.0_pReal) * Tstar_sph(k,l)*Tstar_sph(m,n) / squarenorm_Tstar_sph dLi_dTstar(k,l,m,n) = (prm%n-1.0_pReal) * Tstar_sph(k,l)*Tstar_sph(m,n) / squarenorm_Tstar_sph
forall (k=1:3,l=1:3) & forall (k=1:3,l=1:3) &
dLi_dTstar(k,l,k,l) = dLi_dTstar(k,l,k,l) + 1.0_pReal dLi_dTstar(k,l,k,l) = dLi_dTstar(k,l,k,l) + 1.0_pReal
dLi_dTstar = gamma_dot / prm%fTaylor * dLi_dTstar / norm_Tstar_sph dLi_dTstar = gamma_dot / prm%fTaylor * dLi_dTstar / norm_Tstar_sph
else else
Li = 0.0_pReal Li = 0.0_pReal
dLi_dTstar = 0.0_pReal dLi_dTstar = 0.0_pReal
endif endif
end associate end associate
end subroutine plastic_isotropic_LiAndItsTangent end subroutine plastic_isotropic_LiAndItsTangent
@ -378,55 +377,55 @@ subroutine plastic_isotropic_LiAndItsTangent(Li,dLi_dTstar,Tstar,instance,of)
!> @brief calculates the rate of change of microstructure !> @brief calculates the rate of change of microstructure
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
subroutine plastic_isotropic_dotState(Mp,instance,of) subroutine plastic_isotropic_dotState(Mp,instance,of)
use prec, only: & use prec, only: &
dEq0 dEq0
use math, only: & use math, only: &
math_mul33xx33, & math_mul33xx33, &
math_deviatoric33 math_deviatoric33
implicit none implicit none
real(pReal), dimension(3,3), intent(in) :: & real(pReal), dimension(3,3), intent(in) :: &
Mp !< Mandel stress Mp !< Mandel stress
integer, intent(in) :: & integer, intent(in) :: &
instance, & instance, &
of of
real(pReal) :: & real(pReal) :: &
gamma_dot, & !< strainrate gamma_dot, & !< strainrate
hardening, & !< hardening coefficient hardening, & !< hardening coefficient
saturation, & !< saturation flowstress saturation, & !< saturation flowstress
norm_Mp !< norm of the (deviatoric) Mandel stress norm_Mp !< norm of the (deviatoric) Mandel stress
associate(prm => param(instance), stt => state(instance), dot => dotState(instance)) associate(prm => param(instance), stt => state(instance), dot => dotState(instance))
if (prm%dilatation) then if (prm%dilatation) then
norm_Mp = sqrt(math_mul33xx33(Mp,Mp)) norm_Mp = sqrt(math_mul33xx33(Mp,Mp))
else else
norm_Mp = sqrt(math_mul33xx33(math_deviatoric33(Mp),math_deviatoric33(Mp))) norm_Mp = sqrt(math_mul33xx33(math_deviatoric33(Mp),math_deviatoric33(Mp)))
endif endif
gamma_dot = prm%gdot0 * (sqrt(1.5_pReal) * norm_Mp /(prm%fTaylor*stt%flowstress(of))) **prm%n gamma_dot = prm%gdot0 * (sqrt(1.5_pReal) * norm_Mp /(prm%fTaylor*stt%flowstress(of))) **prm%n
if (abs(gamma_dot) > 1e-12_pReal) then if (abs(gamma_dot) > 1e-12_pReal) then
if (dEq0(prm%tausat_SinhFitA)) then if (dEq0(prm%tausat_SinhFitA)) then
saturation = prm%tausat saturation = prm%tausat
else else
saturation = prm%tausat & saturation = prm%tausat &
+ asinh( (gamma_dot / prm%tausat_SinhFitA)**(1.0_pReal / prm%tausat_SinhFitD) & + asinh( (gamma_dot / prm%tausat_SinhFitA)**(1.0_pReal / prm%tausat_SinhFitD) &
)**(1.0_pReal / prm%tausat_SinhFitC) & )**(1.0_pReal / prm%tausat_SinhFitC) &
/ prm%tausat_SinhFitB * (gamma_dot / prm%gdot0)**(1.0_pReal / prm%n) / prm%tausat_SinhFitB * (gamma_dot / prm%gdot0)**(1.0_pReal / prm%n)
endif endif
hardening = ( prm%h0 + prm%h0_slopeLnRate * log(gamma_dot) ) & hardening = ( prm%h0 + prm%h0_slopeLnRate * log(gamma_dot) ) &
* abs( 1.0_pReal - stt%flowstress(of)/saturation )**prm%a & * abs( 1.0_pReal - stt%flowstress(of)/saturation )**prm%a &
* sign(1.0_pReal, 1.0_pReal - stt%flowstress(of)/saturation) * sign(1.0_pReal, 1.0_pReal - stt%flowstress(of)/saturation)
else else
hardening = 0.0_pReal hardening = 0.0_pReal
endif endif
dot%flowstress (of) = hardening * gamma_dot dot%flowstress (of) = hardening * gamma_dot
dot%accumulatedShear(of) = gamma_dot dot%accumulatedShear(of) = gamma_dot
end associate end associate
end subroutine plastic_isotropic_dotState end subroutine plastic_isotropic_dotState
@ -435,50 +434,50 @@ end subroutine plastic_isotropic_dotState
!> @brief return array of constitutive results !> @brief return array of constitutive results
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
function plastic_isotropic_postResults(Mp,instance,of) result(postResults) function plastic_isotropic_postResults(Mp,instance,of) result(postResults)
use math, only: & use math, only: &
math_mul33xx33, & math_mul33xx33, &
math_deviatoric33 math_deviatoric33
implicit none implicit none
real(pReal), dimension(3,3), intent(in) :: & real(pReal), dimension(3,3), intent(in) :: &
Mp !< Mandel stress Mp !< Mandel stress
integer, intent(in) :: & integer, intent(in) :: &
instance, & instance, &
of of
real(pReal), dimension(sum(plastic_isotropic_sizePostResult(:,instance))) :: & real(pReal), dimension(sum(plastic_isotropic_sizePostResult(:,instance))) :: &
postResults postResults
real(pReal) :: & real(pReal) :: &
norm_Mp !< norm of the Mandel stress norm_Mp !< norm of the Mandel stress
integer :: & integer :: &
o,c o,c
associate(prm => param(instance), stt => state(instance)) associate(prm => param(instance), stt => state(instance))
if (prm%dilatation) then if (prm%dilatation) then
norm_Mp = sqrt(math_mul33xx33(Mp,Mp)) norm_Mp = sqrt(math_mul33xx33(Mp,Mp))
else else
norm_Mp = sqrt(math_mul33xx33(math_deviatoric33(Mp),math_deviatoric33(Mp))) norm_Mp = sqrt(math_mul33xx33(math_deviatoric33(Mp),math_deviatoric33(Mp)))
endif endif
c = 0 c = 0
outputsLoop: do o = 1,size(prm%outputID) outputsLoop: do o = 1,size(prm%outputID)
select case(prm%outputID(o)) select case(prm%outputID(o))
case (flowstress_ID) case (flowstress_ID)
postResults(c+1) = stt%flowstress(of) postResults(c+1) = stt%flowstress(of)
c = c + 1 c = c + 1
case (strainrate_ID) case (strainrate_ID)
postResults(c+1) = prm%gdot0 & postResults(c+1) = prm%gdot0 &
* (sqrt(1.5_pReal) * norm_Mp /(prm%fTaylor * stt%flowstress(of)))**prm%n * (sqrt(1.5_pReal) * norm_Mp /(prm%fTaylor * stt%flowstress(of)))**prm%n
c = c + 1 c = c + 1
end select end select
enddo outputsLoop enddo outputsLoop
end associate end associate
end function plastic_isotropic_postResults end function plastic_isotropic_postResults