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simplified

This commit is contained in:
Martin Diehl 2018-12-13 07:31:56 +01:00
parent 6b5131e0f3
commit a7351deab0
1 changed files with 66 additions and 134 deletions
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198
src/plastic_kinematichardening.f90
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@ -59,9 +59,9 @@ module plastic_kinehardening
theta1_b, & !< asymptotic hardening rate of back stress for each slip >
tau1, &
tau1_b, &
interaction_slipslip, & !< latent hardening matrix
nonSchmidCoeff
real(pReal), dimension(:,:), allocatable, private :: &
interaction_slipslip !< latent hardening matrix
real(pReal), allocatable, dimension(:,:,:) :: &
Schmid_slip, &
Schmid_twin, &
@ -253,6 +253,9 @@ subroutine plastic_kinehardening_init(fileUnit)
prm%nonSchmid_pos = prm%Schmid_slip
prm%nonSchmid_neg = prm%Schmid_slip
endif
prm%interaction_SlipSlip = lattice_interaction_SlipSlip(prm%Nslip, &
config_phase(p)%getFloats('interaction_slipslip'), &
structure(1:3))
prm%crss0 = config_phase(p)%getFloats('crss0', requiredShape=shape(prm%Nslip))
prm%tau1 = config_phase(p)%getFloats('tau1', requiredShape=shape(prm%Nslip))
@ -262,15 +265,20 @@ subroutine plastic_kinehardening_init(fileUnit)
prm%theta0_b = config_phase(p)%getFloats('theta0_b', requiredShape=shape(prm%Nslip))
prm%theta1_b = config_phase(p)%getFloats('theta1_b', requiredShape=shape(prm%Nslip))
! 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)
prm%gdot0 = config_phase(p)%getFloat('gdot0')
prm%n_slip = config_phase(p)%getFloat('n_slip')
prm%n_slip = config_phase(p)%getFloat('n_slip')
!prm%interaction_SlipSlip = lattice_interaction_SlipSlip(prm%Nslip, &
! config_phase(p)%getFloats('interaction_slipslip'), &
! structure(1:3))
endif slipActive
@ -414,7 +422,6 @@ param(instance)%outputID = prm%outputID
allocate(param(instance)%theta1 (Nchunks_SlipFamilies), source=0.0_pReal)
allocate(param(instance)%theta0_b(Nchunks_SlipFamilies), source=0.0_pReal)
allocate(param(instance)%theta1_b(Nchunks_SlipFamilies), source=0.0_pReal)
allocate(param(instance)%interaction_slipslip(Nchunks_SlipSlip), source=0.0_pReal)
allocate(param(instance)%nonSchmidCoeff(Nchunks_nonSchmid), source=0.0_pReal)
if(allocated(tempPerSlip)) deallocate(tempPerSlip)
allocate(tempPerSlip(Nchunks_SlipFamilies))
@ -464,12 +471,6 @@ param(instance)%outputID = prm%outputID
!--------------------------------------------------------------------------------------------------
! parameters depending on number of interactions
case ('interaction_slipslip')
if (chunkPos(1) < 1_pInt + Nchunks_SlipSlip) &
call IO_warning(52_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_KINEHARDENING_label//')')
do j = 1_pInt, Nchunks_SlipSlip
param(instance)%interaction_slipslip(j) = IO_floatValue(line,chunkPos,1_pInt+j)
enddo
case ('nonschmidcoeff')
if (chunkPos(1) < 1_pInt + Nchunks_nonSchmid) &
call IO_warning(52_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_KINEHARDENING_label//')')
@ -529,20 +530,6 @@ param(instance)%outputID = prm%outputID
plasticState(phase)%accumulatedSlip => &
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
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
endindex = 0_pInt
o = endIndex ! offset of dotstate index relative to state index
@ -626,23 +613,6 @@ subroutine plastic_kinehardening_LpAndItsTangent(Lp,dLp_dMp, &
Mp,ipc,ip,el)
use prec, only: &
dNeq0
use debug, only: &
debug_level, &
debug_constitutive, &
debug_levelExtensive, &
debug_levelSelective, &
debug_e, &
debug_i, &
debug_g
use math, only: &
math_Plain3333to99, &
math_Mandel6to33, &
math_transpose33
use lattice, only: &
lattice_Sslip, & !< schmid matrix
lattice_maxNslipFamily, &
lattice_NslipSystem, &
lattice_NnonSchmid
use material, only: &
phaseAt, phasememberAt, &
phase_plasticityInstance
@ -662,7 +632,6 @@ subroutine plastic_kinehardening_LpAndItsTangent(Lp,dLp_dMp, &
integer(pInt) :: &
instance, &
index_myFamily, &
f,i,j,k,l,m,n, &
of, &
ph
@ -672,59 +641,41 @@ subroutine plastic_kinehardening_LpAndItsTangent(Lp,dLp_dMp, &
tau_pos,tau_neg
real(pReal) :: &
dgdot_dtau_pos,dgdot_dtau_neg
real(pReal), dimension(3,3,2) :: &
nonSchmid_tensor
ph = phaseAt(ipc,ip,el) !< figures phase for each material point
of = phasememberAt(ipc,ip,el) !< index of the positions of each constituent of material point, phasememberAt is a function in material that helps figure them out
instance = phase_plasticityInstance(ph)
associate(prm => paramNew(instance), stt => state(instance))
Lp = 0.0_pReal
dLp_dMp = 0.0_pReal
call plastic_kinehardening_shearRates(gdot_pos,gdot_neg,tau_pos,tau_neg, &
Mp,ph,instance,of)
tau_pos = tau_pos - stt%crss_back(:,of)
tau_neg = tau_neg - stt%crss_back(:,of)
do j = 1_pInt, prm%totalNslip
j = 0_pInt ! reading and marking the starting index for each slip family
slipFamilies: do f = 1_pInt,lattice_maxNslipFamily
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,ph)) ! at which index starts my family
slipSystems: do i = 1_pInt,plastic_kinehardening_Nslip(f,instance)
j = j + 1_pInt
! build nonSchmid tensor
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)
do k = 1,lattice_NnonSchmid(ph)
nonSchmid_tensor(1:3,1:3,1) = &
nonSchmid_tensor(1:3,1:3,1) + param(instance)%nonSchmidCoeff(k) * &
lattice_Sslip(1:3,1:3,2*k,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
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))*prm%Schmid_slip(1:3,1:3,j) ! sum of all gdot*SchmidTensor gives Lp
! Calculation of the tangent of Lp ! sensitivity of Lp
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)
forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
dLp_dMp(k,l,m,n) = &
dLp_dMp(k,l,m,n) + dgdot_dtau_pos*lattice_Sslip(k,l,1,index_myFamily+i,ph)* &
nonSchmid_tensor(m,n,1)
dLp_dMp(k,l,m,n) + dgdot_dtau_pos*prm%Schmid_slip(k,l,j)*prm%nonSchmid_pos(m,n,j)
endif
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)
forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
dLp_dMp(k,l,m,n) = &
dLp_dMp(k,l,m,n) + dgdot_dtau_neg*lattice_Sslip(k,l,1,index_myFamily+i,ph)* &
nonSchmid_tensor(m,n,2)
dLp_dMp(k,l,m,n) + dgdot_dtau_neg*prm%Schmid_slip(k,l,j)*prm%nonSchmid_neg(m,n,j)
endif
enddo slipSystems
enddo slipFamilies
enddo
end associate
end subroutine plastic_kinehardening_LpAndItsTangent
@ -735,14 +686,6 @@ subroutine plastic_kinehardening_deltaState(Mp,ipc,ip,el)
use prec, only: &
dNeq, &
dEq0
use debug, only: &
debug_level, &
debug_constitutive, &
debug_levelExtensive, &
debug_levelSelective, &
debug_e, &
debug_i, &
debug_g
use material, only: &
phaseAt, &
phasememberAt, &
@ -776,33 +719,32 @@ subroutine plastic_kinehardening_deltaState(Mp,ipc,ip,el)
dEq0(gdot_pos+gdot_neg,1e-10_pReal)) ! current sense of shear direction
#ifdef DEBUG
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)') '======= kinehardening delta state ======='
endif
! 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)') '======= kinehardening delta state ======='
! endif
#endif
#ifdef DEBUG
! 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,'(i2,1x,f7.4,1x,f7.4)') j,sense(j),state(instance)%sense(j,of)
! endif
#endif
!--------------------------------------------------------------------------------------------------
! switch in sense of shear?
do j = 1,plastic_kinehardening_totalNslip(instance)
#ifdef DEBUG
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,'(i2,1x,f7.4,1x,f7.4)') j,sense(j),state(instance)%sense(j,of)
endif
#endif
if (dNeq(sense(j),state(instance)%sense(j,of),0.1_pReal)) then
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)%gamma0(j,of) = state(instance)%accshear(j,of) - state(instance)%gamma0(j,of) ! remember current accumulated shear
else
deltaState(instance)%sense (j,of) = 0.0_pReal ! no change
deltaState(instance)%chi0 (j,of) = 0.0_pReal
deltaState(instance)%gamma0(j,of) = 0.0_pReal
endif
enddo
where(dNeq(sense,state(instance)%sense(:,of),0.1_pReal))
deltaState(instance)%sense (:,of) = sense - state(instance)%sense(:,of) ! switch sense
deltaState(instance)%chi0 (:,of) = abs(state(instance)%crss_back(:,of)) - state(instance)%chi0(:,of) ! remember current backstress magnitude
deltaState(instance)%gamma0(:,of) = state(instance)%accshear(:,of) - state(instance)%gamma0(:,of) ! remember current accumulated shear
else where
deltaState(instance)%sense (:,of) = 0.0_pReal ! no change
deltaState(instance)%chi0 (:,of) = 0.0_pReal
deltaState(instance)%gamma0(:,of) = 0.0_pReal
end where
end subroutine plastic_kinehardening_deltaState
@ -853,29 +795,25 @@ subroutine plastic_kinehardening_dotState(Mp,ipc,ip,el)
dot%accshear(:,of) = abs(gdot_pos+gdot_neg)
sumGamma = sum(stt%accshear(:,of))
j = 0_pInt
slipFamilies: do f = 1_pInt,lattice_maxNslipFamily
slipSystems: do i = 1_pInt,plastic_kinehardening_Nslip(f,instance)
j = j+1_pInt
dotState(instance)%crss(j,of) = & ! evolution of slip resistance j
dot_product(param(instance)%hardeningMatrix_SlipSlip(j,1:nSlip),abs(gdot_pos+gdot_neg)) * &
( param(instance)%theta1(f) + &
(param(instance)%theta0(f) - param(instance)%theta1(f) &
+ param(instance)%theta0(f)*param(instance)%theta1(f)*sumGamma/param(instance)%tau1(f)) &
*exp(-sumGamma*param(instance)%theta0(f)/param(instance)%tau1(f)) & ! V term depending on the harding law
do j = 1_pInt, prm%totalNslip
dot%crss(j,of) = & ! evolution of slip resistance j
dot_product(prm%interaction_SlipSlip(j,:),abs(gdot_pos+gdot_neg)) * &
( prm%theta1(j) + &
(prm%theta0(j) - prm%theta1(j) &
+ prm%theta0(j)*prm%theta1(j)*sumGamma/prm%tau1(j)) &
*exp(-sumGamma*prm%theta0(j)/prm%tau1(j)) & ! V term depending on the harding law
)
dotState(instance)%crss_back(j,of) = & ! evolution of back stress resistance j
state(instance)%sense(j,of)*abs(gdot_pos(j)+gdot_neg(j)) * &
( 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)) &
*(state(instance)%accshear(j,of)-state(instance)%gamma0(j,of))) &
dot%crss_back(j,of) = & ! evolution of back stress resistance j
stt%sense(j,of)*abs(gdot_pos(j)+gdot_neg(j)) * &
( prm%theta1_b(j) + &
(prm%theta0_b(j) - prm%theta1_b(j) &
+ prm%theta0_b(j)*prm%theta1_b(j)/(prm%tau1_b(j)+stt%chi0(j,of)) &
*(stt%accshear(j,of)-state(instance)%gamma0(j,of))) &
*exp(-(state(instance)%accshear(j,of)-state(instance)%gamma0(j,of)) &
*param(instance)%theta0_b(f)/(param(instance)%tau1_b(f)+state(instance)%chi0(j,of))) &
*prm%theta0_b(j)/(prm%tau1_b(j)+state(instance)%chi0(j,of))) &
) ! V term depending on the harding law for back stress
enddo slipSystems
enddo slipFamilies
enddo
end associate
end subroutine plastic_kinehardening_dotState
@ -957,15 +895,9 @@ function plastic_kinehardening_postResults(Mp,ipc,ip,el) result(postResults)
c = c + nSlip
case (resolvedstress_ID)
j = 0_pInt
slipFamilies: do f = 1_pInt,lattice_maxNslipFamily
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,ph)) ! at which index starts my family
slipSystems: do i = 1_pInt,plastic_kinehardening_Nslip(f,instance)
j = j + 1_pInt
postResults(c+j) = &
math_mul33xx33(Mp,lattice_Sslip(1:3,1:3,1,index_myFamily+i,ph))
enddo slipSystems
enddo slipFamilies
do j = 1_pInt, prm%totalNslip
postResults(c+j) = math_mul33xx33(Mp,prm%Schmid_slip(1:3,1:3,j))
enddo
c = c + nSlip
end select