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fixed backstress rate of change based on its own slip system evolution and its sense

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Zhuowen Zhao 2017-11-14 12:25:55 -05:00
parent 2caf8b7ffd
commit 2b8baa2f01
1 changed files with 92 additions and 47 deletions
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src/plastic_kinematichardening.f90
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@ -1,6 +1,6 @@
!------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
!> @author Franz Roters, Max-Planck-Institut für Eisenforschung GmbH
!> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH !> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH
!> @author Zhuowen Zhao, Michigan State University
!> @brief Introducing Voce-type kinematic hardening rule into crystal phenopowerlaw plasticity !> @brief Introducing Voce-type kinematic hardening rule into crystal phenopowerlaw plasticity
!! formulation using a power law fitting !! formulation using a power law fitting
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
@ -51,6 +51,12 @@ module plastic_kinehardening
outputID !< ID of each post result output outputID !< ID of each post result output
real(pReal) :: & real(pReal) :: &
! F0, &
! mu, &
! mu0, &
! tau_hat0, &
! p1, &
! q1, &
gdot0, & !< reference shear strain rate for slip (input parameter) gdot0, & !< reference shear strain rate for slip (input parameter)
n_slip, & !< stress exponent for slip (input parameter) n_slip, & !< stress exponent for slip (input parameter)
aTolResistance, & aTolResistance, &
@ -320,6 +326,24 @@ subroutine plastic_kinehardening_init(fileUnit)
enddo enddo
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! parameters independent of number of slip families ! parameters independent of number of slip families
! case ('F0')
! param(instance)%F0 = IO_floatValue(line,chunkPos,2_pInt)
!
! case ('mu')
! param(instance)%mu = IO_floatValue(line,chunkPos,2_pInt)
!
! case ('mu0')
! param(instance)%mu0 = IO_floatValue(line,chunkPos,2_pInt)
!
! case ('tau_hat0')
! param(instance)%tau_hat0 = IO_floatValue(line,chunkPos,2_pInt)
!
! case ('p1')
! param(instance)%p1 = IO_floatValue(line,chunkPos,2_pInt)
!
! case ('q1')
! param(instance)%q1 = IO_floatValue(line,chunkPos,2_pInt)
case ('gdot0') case ('gdot0')
param(instance)%gdot0 = IO_floatValue(line,chunkPos,2_pInt) param(instance)%gdot0 = IO_floatValue(line,chunkPos,2_pInt)
@ -376,21 +400,6 @@ subroutine plastic_kinehardening_init(fileUnit)
call IO_error(211_pInt,ip=instance,ext_msg=extmsg) call IO_error(211_pInt,ip=instance,ext_msg=extmsg)
endif endif
allocate(param(instance)%hardeningMatrix_SlipSlip(nSlip,nSlip), source=0.0_pReal)
do f = 1_pInt,lattice_maxNslipFamily ! >>> interaction slip -- X
index_myFamily = sum(plastic_kinehardening_Nslip(1:f-1_pInt,instance))
do j = 1_pInt,plastic_kinehardening_Nslip(f,instance) ! loop over (active) systems in my family (slip)
do o = 1_pInt,lattice_maxNslipFamily
index_otherFamily = sum(plastic_kinehardening_Nslip(1:o-1_pInt,instance))
do k = 1_pInt,plastic_kinehardening_Nslip(o,instance) ! loop over (active) systems in other family (slip)
param(instance)%hardeningMatrix_SlipSlip(index_myFamily+j,index_otherFamily+k) = &
param(instance)%interaction_SlipSlip(lattice_interactionSlipSlip( &
sum(lattice_NslipSystem(1:f-1,phase))+j, &
sum(lattice_NslipSystem(1:o-1,phase))+k, &
phase))
enddo; enddo
enddo; enddo
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! Determine size of postResults array ! Determine size of postResults array
@ -457,6 +466,7 @@ subroutine plastic_kinehardening_init(fileUnit)
plasticState(phase)%accumulatedSlip => & plasticState(phase)%accumulatedSlip => &
plasticState(phase)%state(offset_slip+1:offset_slip+plasticState(phase)%nSlip,1:NipcMyPhase) plasticState(phase)%state(offset_slip+1:offset_slip+plasticState(phase)%nSlip,1:NipcMyPhase)
allocate(param(instance)%hardeningMatrix_SlipSlip(nSlip,nSlip), source=0.0_pReal)
do f = 1_pInt,lattice_maxNslipFamily ! >>> interaction slip -- X do f = 1_pInt,lattice_maxNslipFamily ! >>> interaction slip -- X
index_myFamily = sum(plastic_kinehardening_Nslip(1:f-1_pInt,instance)) index_myFamily = sum(plastic_kinehardening_Nslip(1:f-1_pInt,instance))
do j = 1_pInt,plastic_kinehardening_Nslip(f,instance) ! loop over (active) systems in my family (slip) do j = 1_pInt,plastic_kinehardening_Nslip(f,instance) ! loop over (active) systems in my family (slip)
@ -601,12 +611,38 @@ subroutine plastic_kinehardening_shearRates(gdot_pos,gdot_neg,tau_pos,tau_neg, &
enddo slipFamilies enddo slipFamilies
gdot_pos = 0.5_pReal * param(instance)%gdot0 * & gdot_pos = 0.5_pReal * param(instance)%gdot0 * &
(abs(tau_pos-state(instance)%crss_back(:,of))/state(instance)%crss(:,of))**param(instance)%n_slip & (abs(tau_pos-state(instance)%sense(:,of)*state(instance)%crss_back(:,of))/ &
state(instance)%crss(:,of))**param(instance)%n_slip &
*sign(1.0_pReal,tau_pos) *sign(1.0_pReal,tau_pos)
gdot_neg = 0.5_pReal * param(instance)%gdot0 * & gdot_neg = 0.5_pReal * param(instance)%gdot0 * &
(abs(tau_neg-state(instance)%crss_back(:,of))/state(instance)%crss(:,of))**param(instance)%n_slip & (abs(tau_neg-state(instance)%sense(:,of)*state(instance)%crss_back(:,of))/ &
state(instance)%crss(:,of))**param(instance)%n_slip &
*sign(1.0_pReal,tau_neg) *sign(1.0_pReal,tau_neg)
! gdot_pos = 0.5_pReal * param(instance)%gdot0 * &
! exp(-param(instance)%F0/(1.38e-23*298.15)* &
! (1-((abs(tau_pos-state(instance)%crss_back(:,of)) &
! -state(instance)%crss(:,of)*param(instance)%mu/param(instance)%mu) / &
! !----------------------------------------------------------------------------
! param(instance)%tau_hat0*param(instance)%mu/param(instance)%mu &
! )**param(instance)%p1 &
! )**param(instance)%q1 &
! )*sign(1.0_pReal,(tau_pos-state(instance)%crss_back(:,of)))
!
!
!
! gdot_neg = 0.5_pReal * param(instance)%gdot0 * &
! exp(-param(instance)%F0/(1.38e-23*298.15)* &
! (1-((abs(tau_neg-state(instance)%crss_back(:,of)) &
! -state(instance)%crss(:,of)*param(instance)%mu/param(instance)%mu) / &
! !----------------------------------------------------------------------------
! param(instance)%tau_hat0*param(instance)%mu/param(instance)%mu &
! )**param(instance)%p1 &
! )**param(instance)%q1 &
! )*sign(1.0_pReal,(tau_neg-state(instance)%crss_back(:,of)))
end subroutine plastic_kinehardening_shearRates end subroutine plastic_kinehardening_shearRates
@ -617,9 +653,18 @@ subroutine plastic_kinehardening_LpAndItsTangent(Lp,dLp_dTstar99, &
Tstar_v,ipc,ip,el) Tstar_v,ipc,ip,el)
use prec, only: & use prec, only: &
dNeq0 dNeq0
use debug, only: &
debug_level, &
debug_constitutive, &
debug_levelExtensive, &
debug_levelSelective, &
debug_e, &
debug_i, &
debug_g
use math, only: & use math, only: &
math_Plain3333to99, & math_Plain3333to99, &
math_Mandel6to33 math_Mandel6to33, &
math_transpose33
use lattice, only: & use lattice, only: &
lattice_Sslip, & !< schmid matrix lattice_Sslip, & !< schmid matrix
lattice_Sslip_v, & lattice_Sslip_v, &
@ -671,6 +716,7 @@ subroutine plastic_kinehardening_LpAndItsTangent(Lp,dLp_dTstar99, &
call plastic_kinehardening_shearRates(gdot_pos,gdot_neg,tau_pos,tau_neg, & call plastic_kinehardening_shearRates(gdot_pos,gdot_neg,tau_pos,tau_neg, &
Tstar_v,ph,instance,of) Tstar_v,ph,instance,of)
j = 0_pInt ! reading and marking the starting index for each slip family j = 0_pInt ! reading and marking the starting index for each slip family
slipFamilies: do f = 1_pInt,lattice_maxNslipFamily slipFamilies: do f = 1_pInt,lattice_maxNslipFamily
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,ph)) ! at which index starts my family index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,ph)) ! at which index starts my family
@ -681,33 +727,37 @@ subroutine plastic_kinehardening_LpAndItsTangent(Lp,dLp_dTstar99, &
nonSchmid_tensor(1:3,1:3,1) = lattice_Sslip(1:3,1:3,1,index_myFamily+i,ph) nonSchmid_tensor(1:3,1:3,1) = lattice_Sslip(1:3,1:3,1,index_myFamily+i,ph)
nonSchmid_tensor(1:3,1:3,2) = nonSchmid_tensor(1:3,1:3,1) nonSchmid_tensor(1:3,1:3,2) = nonSchmid_tensor(1:3,1:3,1)
do k = 1,lattice_NnonSchmid(ph) do k = 1,lattice_NnonSchmid(ph)
nonSchmid_tensor(1:3,1:3,1) = nonSchmid_tensor(1:3,1:3,1) + param(instance)%nonSchmidCoeff(k)*& nonSchmid_tensor(1:3,1:3,1) = &
lattice_Sslip(1:3,1:3,2*k,index_myFamily+i,ph) nonSchmid_tensor(1:3,1:3,1) + param(instance)%nonSchmidCoeff(k) * &
nonSchmid_tensor(1:3,1:3,2) = nonSchmid_tensor(1:3,1:3,2) + param(instance)%nonSchmidCoeff(k)*& lattice_Sslip(1:3,1:3,2*k,index_myFamily+i,ph)
lattice_Sslip(1:3,1:3,2*k+1,index_myFamily+i,ph) nonSchmid_tensor(1:3,1:3,2) = &
nonSchmid_tensor(1:3,1:3,2) + param(instance)%nonSchmidCoeff(k) * &
lattice_Sslip(1:3,1:3,2*k+1,index_myFamily+i,ph)
enddo enddo
Lp = Lp + (gdot_pos(j)+gdot_neg(j))*lattice_Sslip(1:3,1:3,1,index_myFamily+i,ph) ! sum of all gdot*SchmidTensor gives Lp Lp = Lp + (gdot_pos(j)+gdot_neg(j))*lattice_Sslip(1:3,1:3,1,index_myFamily+i,ph) ! sum of all gdot*SchmidTensor gives Lp
! Calculation of the tangent of Lp ! sensitivity of Lp ! Calculation of the tangent of Lp ! sensitivity of Lp
if (dNeq0(gdot_pos(j))) then if (dNeq0(gdot_pos(j))) then
dgdot_dtau_pos = gdot_pos(j)*param(instance)%n_slip/(tau_pos(j)-state(instance)%crss_back(j,of)) dgdot_dtau_pos = gdot_pos(j)*param(instance)%n_slip/(tau_pos(j)-state(instance)%crss_back(j,of))
forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) & forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
dLp_dTstar3333(k,l,m,n) = dLp_dTstar3333(k,l,m,n) + & dLp_dTstar3333(k,l,m,n) = &
dgdot_dtau_pos*lattice_Sslip(k,l,1,index_myFamily+i,ph)* & dLp_dTstar3333(k,l,m,n) + dgdot_dtau_pos*lattice_Sslip(k,l,1,index_myFamily+i,ph)* &
nonSchmid_tensor(m,n,1) nonSchmid_tensor(m,n,1)
endif endif
if (dNeq0(gdot_neg(j))) then if (dNeq0(gdot_neg(j))) then
dgdot_dtau_neg = gdot_neg(j)*param(instance)%n_slip/(tau_neg(j)-state(instance)%crss_back(j,of)) dgdot_dtau_neg = gdot_neg(j)*param(instance)%n_slip/(tau_neg(j)-state(instance)%crss_back(j,of))
forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) & forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
dLp_dTstar3333(k,l,m,n) = dLp_dTstar3333(k,l,m,n) + & dLp_dTstar3333(k,l,m,n) = &
dgdot_dtau_neg*lattice_Sslip(k,l,1,index_myFamily+i,ph)* & dLp_dTstar3333(k,l,m,n) + dgdot_dtau_neg*lattice_Sslip(k,l,1,index_myFamily+i,ph)* &
nonSchmid_tensor(m,n,2) nonSchmid_tensor(m,n,2)
endif endif
enddo slipSystems enddo slipSystems
enddo slipFamilies enddo slipFamilies
dLp_dTstar99 = math_Plain3333to99(dLp_dTstar3333)
end subroutine plastic_kinehardening_LpAndItsTangent end subroutine plastic_kinehardening_LpAndItsTangent
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
@ -722,7 +772,8 @@ subroutine plastic_kinehardening_deltaState(Tstar_v,ipc,ip,el)
debug_levelExtensive, & debug_levelExtensive, &
debug_levelSelective, & debug_levelSelective, &
debug_e, & debug_e, &
debug_i debug_i, &
debug_g
use material, only: & use material, only: &
phaseAt, & phaseAt, &
phasememberAt, & phasememberAt, &
@ -758,7 +809,7 @@ subroutine plastic_kinehardening_deltaState(Tstar_v,ipc,ip,el)
#ifdef DEBUG #ifdef DEBUG
if (iand(debug_level(debug_constitutive), debug_levelExtensive) /= 0_pInt & if (iand(debug_level(debug_constitutive), debug_levelExtensive) /= 0_pInt &
.and. ((el == debug_e .and. ip == debug_i) & .and. ((el == debug_e .and. ip == debug_i .and. ipc == debug_g) &
.or. .not. iand(debug_level(debug_constitutive),debug_levelSelective) /= 0_pInt)) then .or. .not. iand(debug_level(debug_constitutive),debug_levelSelective) /= 0_pInt)) then
write(6,'(a)') '======= kinehardening delta state =======' write(6,'(a)') '======= kinehardening delta state ======='
endif endif
@ -769,7 +820,7 @@ subroutine plastic_kinehardening_deltaState(Tstar_v,ipc,ip,el)
do j = 1,plastic_kinehardening_totalNslip(instance) do j = 1,plastic_kinehardening_totalNslip(instance)
#ifdef DEBUG #ifdef DEBUG
if (iand(debug_level(debug_constitutive), debug_levelExtensive) /= 0_pInt & if (iand(debug_level(debug_constitutive), debug_levelExtensive) /= 0_pInt &
.and. ((el == debug_e .and. ip == debug_i) & .and. ((el == debug_e .and. ip == debug_i .and. ipc == debug_g) &
.or. .not. iand(debug_level(debug_constitutive),debug_levelSelective) /= 0_pInt)) then .or. .not. iand(debug_level(debug_constitutive),debug_levelSelective) /= 0_pInt)) then
write(6,'(i2,1x,f7.4,1x,f7.4)') j,sense(j),state(instance)%sense(j,of) write(6,'(i2,1x,f7.4,1x,f7.4)') j,sense(j),state(instance)%sense(j,of)
endif endif
@ -778,16 +829,10 @@ subroutine plastic_kinehardening_deltaState(Tstar_v,ipc,ip,el)
deltaState(instance)%sense (j,of) = sense(j) - state(instance)%sense(j,of) ! switch sense deltaState(instance)%sense (j,of) = sense(j) - state(instance)%sense(j,of) ! switch sense
deltaState(instance)%chi0 (j,of) = abs(state(instance)%crss_back(j,of)) - state(instance)%chi0(j,of) ! remember current backstress magnitude deltaState(instance)%chi0 (j,of) = abs(state(instance)%crss_back(j,of)) - state(instance)%chi0(j,of) ! remember current backstress magnitude
deltaState(instance)%gamma0(j,of) = state(instance)%accshear(j,of) - state(instance)%gamma0(j,of) ! remember current accumulated shear deltaState(instance)%gamma0(j,of) = state(instance)%accshear(j,of) - state(instance)%gamma0(j,of) ! remember current accumulated shear
#ifdef DEBUG else
if (iand(debug_level(debug_constitutive), debug_levelExtensive) /= 0_pInt & deltaState(instance)%sense (j,of) = 0.0_pReal ! no change
.and. ((el == debug_e .and. ip == debug_i) & deltaState(instance)%chi0 (j,of) = 0.0_pReal
.or. .not. iand(debug_level(debug_constitutive),debug_levelSelective) /= 0_pInt)) then deltaState(instance)%gamma0(j,of) = 0.0_pReal
write(6,'(a)') 'change of sense!'
write(6,*) deltaState(instance)%sense (j,of), &
deltaState(instance)%chi0(j,of), &
deltaState(instance)%gamma0(j,of)
endif
#endif
endif endif
enddo enddo
@ -852,7 +897,7 @@ subroutine plastic_kinehardening_dotState(Tstar_v,ipc,ip,el)
*exp(-state(instance)%sumGamma(of)*param(instance)%theta0(f)/param(instance)%tau1(f)) & ! V term depending on the harding law *exp(-state(instance)%sumGamma(of)*param(instance)%theta0(f)/param(instance)%tau1(f)) & ! V term depending on the harding law
) )
dotState(instance)%crss_back(j,of) = & ! evolution of back stress resistance j dotState(instance)%crss_back(j,of) = & ! evolution of back stress resistance j
dot_product(param(instance)%hardeningMatrix_SlipSlip(j,1:nSlip),abs(gdot_pos+gdot_neg)) * & state(instance)%sense(j,of)*abs(gdot_pos(j)+gdot_neg(j)) * &
( param(instance)%theta1_b(f) + & ( param(instance)%theta1_b(f) + &
(param(instance)%theta0_b(f) - param(instance)%theta1_b(f) & (param(instance)%theta0_b(f) - param(instance)%theta1_b(f) &
+ param(instance)%theta0_b(f)*param(instance)%theta1_b(f)/(param(instance)%tau1_b(f)+state(instance)%chi0(j,of)) & + param(instance)%theta0_b(f)*param(instance)%theta1_b(f)/(param(instance)%tau1_b(f)+state(instance)%chi0(j,of)) &