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adapted kinehardening

This commit is contained in:
Philip Eisenlohr 2023-09-15 11:13:58 -04:00
parent 2a88285088
commit 7ac552ee49
2 changed files with 44 additions and 68 deletions
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108
src/phase_mechanical_plastic_kinehardening.f90
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@ -29,8 +29,6 @@ submodule(phase:plastic) kinehardening
P_nS_neg P_nS_neg
integer :: & integer :: &
sum_N_sl sum_N_sl
logical :: &
nonSchmidActive = .false.
character(len=pSTRLEN), allocatable, dimension(:) :: & character(len=pSTRLEN), allocatable, dimension(:) :: &
output output
character(len=:), allocatable, dimension(:) :: & character(len=:), allocatable, dimension(:) :: &
@ -83,9 +81,10 @@ module function plastic_kinehardening_init() result(myPlasticity)
integer, dimension(:), allocatable :: & integer, dimension(:), allocatable :: &
N_sl N_sl
real(pREAL), dimension(:), allocatable :: & real(pREAL), dimension(:), allocatable :: &
xi_0, & !< initial forest stress xi_0 !< initial forest stress
!! τ_for,0 !! τ_for,0
a !< non-Schmid coefficients real(pREAL), dimension(:,:), allocatable :: &
a_nS !< non-Schmid coefficients
character(len=:), allocatable :: & character(len=:), allocatable :: &
refs, & refs, &
extmsg extmsg
@ -144,13 +143,13 @@ module function plastic_kinehardening_init() result(myPlasticity)
prm%P = crystal_SchmidMatrix_slip(N_sl,phase_lattice(ph),phase_cOverA(ph)) prm%P = crystal_SchmidMatrix_slip(N_sl,phase_lattice(ph),phase_cOverA(ph))
if (phase_lattice(ph) == 'cI') then if (phase_lattice(ph) == 'cI') then
a = pl%get_as1dReal('a_nonSchmid_110',defaultVal=emptyRealArray) allocate(a_nS(3,size(pl%get_as1dReal('a_nonSchmid_110',defaultVal=emptyRealArray))),source=0.0_pREAL)
prm%nonSchmidActive = size(a) > 0 a_nS(1,:) = pl%get_as1dReal('a_nonSchmid_110',defaultVal=emptyRealArray)
prm%P_nS_pos = crystal_nonSchmidMatrix(N_sl,a,+1) prm%P_nS_pos = crystal_SchmidMatrix_slip(N_sl,phase_lattice(ph),phase_cOverA(ph),nonSchmidCoefficients=a_nS,sense=+1)
prm%P_nS_neg = crystal_nonSchmidMatrix(N_sl,a,-1) prm%P_nS_neg = crystal_SchmidMatrix_slip(N_sl,phase_lattice(ph),phase_cOverA(ph),nonSchmidCoefficients=a_nS,sense=-1)
else else
prm%P_nS_pos = prm%P prm%P_nS_pos = +prm%P
prm%P_nS_neg = prm%P prm%P_nS_neg = -prm%P
end if end if
prm%h_sl_sl = crystal_interaction_SlipBySlip(N_sl,pl%get_as1dReal('h_sl-sl'), & prm%h_sl_sl = crystal_interaction_SlipBySlip(N_sl,pl%get_as1dReal('h_sl-sl'), &
@ -256,38 +255,37 @@ end function plastic_kinehardening_init
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
!> @brief Calculate plastic velocity gradient and its tangent. !> @brief Calculate plastic velocity gradient and its tangent.
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
pure module subroutine kinehardening_LpAndItsTangent(Lp,dLp_dMp,Mp,ph,en) pure module subroutine kinehardening_LpAndItsTangent(Lp,dLp_dMp, Mp,ph,en)
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) :: &
ph, & ph, &
en en
integer :: & integer :: &
i,k,l,m,n i,k,l,m,n
real(pREAL), dimension(param(ph)%sum_N_sl) :: & real(pREAL), dimension(param(ph)%sum_N_sl) :: &
dot_gamma_pos,dot_gamma_neg, & dot_gamma, ddot_gamma_dtau
ddot_gamma_dtau_pos,ddot_gamma_dtau_neg
Lp = 0.0_pREAL Lp = 0.0_pREAL
dLp_dMp = 0.0_pREAL dLp_dMp = 0.0_pREAL
associate(prm => param(ph)) associate(prm => param(ph))
call kinetics(Mp,ph,en, dot_gamma_pos,dot_gamma_neg,ddot_gamma_dtau_pos,ddot_gamma_dtau_neg) call kinetics(Mp,ph,en, dot_gamma,ddot_gamma_dtau)
do i = 1, prm%sum_N_sl do i = 1, prm%sum_N_sl
Lp = Lp + (dot_gamma_pos(i)+dot_gamma_neg(i))*prm%P(1:3,1:3,i) Lp = Lp + dot_gamma(i)*prm%P(1:3,1:3,i)
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) = dLp_dMp(k,l,m,n) & dLp_dMp(k,l,m,n) = dLp_dMp(k,l,m,n) &
+ ddot_gamma_dtau_pos(i) * prm%P(k,l,i) * prm%P_nS_pos(m,n,i) & + ddot_gamma_dtau(i) * prm%P(k,l,i) &
+ ddot_gamma_dtau_neg(i) * prm%P(k,l,i) * prm%P_nS_neg(m,n,i) * merge(prm%P_nS_pos(m,n,i), &
prm%P_nS_neg(m,n,i), dot_gamma(i)>0.0_pREAL)
end do end do
end associate end associate
@ -311,7 +309,7 @@ module function plastic_kinehardening_dotState(Mp,ph,en) result(dotState)
real(pREAL) :: & real(pREAL) :: &
sumGamma sumGamma
real(pREAL), dimension(param(ph)%sum_N_sl) :: & real(pREAL), dimension(param(ph)%sum_N_sl) :: &
dot_gamma_pos,dot_gamma_neg dot_gamma
associate(prm => param(ph), stt => state(ph), & associate(prm => param(ph), stt => state(ph), &
@ -319,9 +317,9 @@ module function plastic_kinehardening_dotState(Mp,ph,en) result(dotState)
dot_chi => dotState(IndexDotState(ph)%chi(1):IndexDotState(ph)%chi(2)),& dot_chi => dotState(IndexDotState(ph)%chi(1):IndexDotState(ph)%chi(2)),&
dot_gamma => dotState(IndexDotState(ph)%gamma(1):IndexDotState(ph)%gamma(2))) dot_gamma => dotState(IndexDotState(ph)%gamma(1):IndexDotState(ph)%gamma(2)))
call kinetics(Mp,ph,en, dot_gamma_pos,dot_gamma_neg) call kinetics(Mp,ph,en, dot_gamma)
dot_gamma = abs(dot_gamma_pos+dot_gamma_neg)
sumGamma = sum(stt%gamma(:,en)) sumGamma = sum(stt%gamma(:,en))
dot_gamma = abs(dot_gamma)
dot_xi = matmul(prm%h_sl_sl,dot_gamma) & dot_xi = matmul(prm%h_sl_sl,dot_gamma) &
@ -338,6 +336,7 @@ module function plastic_kinehardening_dotState(Mp,ph,en) result(dotState)
* exp(-(stt%gamma(:,en)-stt%gamma_flip(:,en))*prm%h_0_chi/(prm%chi_inf+stt%chi_flip(:,en))) & * exp(-(stt%gamma(:,en)-stt%gamma_flip(:,en))*prm%h_0_chi/(prm%chi_inf+stt%chi_flip(:,en))) &
) )
end associate end associate
end function plastic_kinehardening_dotState end function plastic_kinehardening_dotState
@ -355,16 +354,16 @@ module subroutine plastic_kinehardening_deltaState(Mp,ph,en)
en en
real(pREAL), dimension(param(ph)%sum_N_sl) :: & real(pREAL), dimension(param(ph)%sum_N_sl) :: &
dot_gamma_pos,dot_gamma_neg, & dot_gamma, &
sgn_gamma sgn_gamma
associate(prm => param(ph), stt => state(ph), dlt => deltaState(ph)) associate(prm => param(ph), stt => state(ph), dlt => deltaState(ph))
call kinetics(Mp,ph,en, dot_gamma_pos,dot_gamma_neg) call kinetics(Mp,ph,en, dot_gamma)
sgn_gamma = merge(state(ph)%sgn_gamma(:,en), & sgn_gamma = merge(state(ph)%sgn_gamma(:,en), &
sign(1.0_pREAL,dot_gamma_pos+dot_gamma_neg), & sign(1.0_pREAL,dot_gamma), &
dEq0(dot_gamma_pos+dot_gamma_neg,1e-10_pREAL)) dEq0(dot_gamma,1e-10_pREAL))
where(dNeq(sgn_gamma,stt%sgn_gamma(:,en),0.1_pREAL)) ! ToDo sgn_gamma*stt%sgn_gamma(:,en)<0 where(dNeq(sgn_gamma,stt%sgn_gamma(:,en),0.1_pREAL)) ! ToDo sgn_gamma*stt%sgn_gamma(:,en)<0
dlt%sgn_gamma (:,en) = sgn_gamma - stt%sgn_gamma (:,en) dlt%sgn_gamma (:,en) = sgn_gamma - stt%sgn_gamma (:,en)
@ -433,61 +432,38 @@ end subroutine plastic_kinehardening_result
! at the end since some of them are optional. ! at the end since some of them are optional.
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
pure subroutine kinetics(Mp,ph,en, & pure subroutine kinetics(Mp,ph,en, &
dot_gamma_pos,dot_gamma_neg,ddot_gamma_dtau_pos,ddot_gamma_dtau_neg) dot_gamma,ddot_gamma_dtau)
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) :: &
ph, & ph, &
en en
real(pREAL), intent(out), dimension(param(ph)%sum_N_sl) :: & real(pREAL), dimension(param(ph)%sum_N_sl), intent(out) :: &
dot_gamma_pos, & dot_gamma
dot_gamma_neg real(pREAL), dimension(param(ph)%sum_N_sl), optional, intent(out) :: &
real(pREAL), intent(out), dimension(param(ph)%sum_N_sl), optional :: & ddot_gamma_dtau
ddot_gamma_dtau_pos, &
ddot_gamma_dtau_neg
real(pREAL), dimension(param(ph)%sum_N_sl) :: & real(pREAL), dimension(param(ph)%sum_N_sl) :: &
tau_pos, & tau_pos, &
tau_neg tau_neg
integer :: i integer :: i
associate(prm => param(ph), stt => state(ph)) associate(prm => param(ph), stt => state(ph))
do i = 1, prm%sum_N_sl tau_pos = [(math_tensordot(Mp,prm%P_nS_pos(1:3,1:3,i)) - stt%chi(i,en),i=1,prm%sum_N_sl)]
tau_pos(i) = math_tensordot(Mp,prm%P_nS_pos(1:3,1:3,i)) - stt%chi(i,en) tau_neg = [(math_tensordot(Mp,prm%P_nS_neg(1:3,1:3,i)) + stt%chi(i,en),i=1,prm%sum_N_sl)]
tau_neg(i) = merge(math_tensordot(Mp,prm%P_nS_neg(1:3,1:3,i)) - stt%chi(i,en), &
0.0_pREAL, prm%nonSchmidActive)
end do
where(dNeq0(tau_pos)) dot_gamma = merge(+1.0_pREAL,-1.0_pREAL, tau_pos>tau_neg) &
dot_gamma_pos = prm%dot_gamma_0 * merge(0.5_pREAL,1.0_pREAL, prm%nonSchmidActive) & ! 1/2 if non-Schmid active * prm%dot_gamma_0 &
* sign(abs(tau_pos/stt%xi(:,en))**prm%n, tau_pos) * (merge(tau_pos,tau_neg, tau_pos>tau_neg)/stt%xi(:,en))**prm%n
else where
dot_gamma_pos = 0.0_pREAL
end where
where(dNeq0(tau_neg)) if (present(ddot_gamma_dtau)) then
dot_gamma_neg = prm%dot_gamma_0 * 0.5_pREAL & ! only used if non-Schmid active, always 1/2 where(dNeq0(dot_gamma))
* sign(abs(tau_neg/stt%xi(:,en))**prm%n, tau_neg) ddot_gamma_dtau = dot_gamma*prm%n/merge(tau_pos,tau_neg, tau_pos>tau_neg)
else where
dot_gamma_neg = 0.0_pREAL
end where
if (present(ddot_gamma_dtau_pos)) then
where(dNeq0(dot_gamma_pos))
ddot_gamma_dtau_pos = dot_gamma_pos*prm%n/tau_pos
else where else where
ddot_gamma_dtau_pos = 0.0_pREAL ddot_gamma_dtau = 0.0_pREAL
end where
end if
if (present(ddot_gamma_dtau_neg)) then
where(dNeq0(dot_gamma_neg))
ddot_gamma_dtau_neg = dot_gamma_neg*prm%n/tau_neg
else where
ddot_gamma_dtau_neg = 0.0_pREAL
end where end where
end if end if

4
src/phase_mechanical_plastic_phenopowerlaw.f90
View File

@ -104,7 +104,7 @@ module function plastic_phenopowerlaw_init() result(myPlasticity)
if (count(myPlasticity) == 0) return if (count(myPlasticity) == 0) return
print'(/,1x,a)', '<<<+- phase:mechanical:plastic:phenopowerlaw init -+>>>' print'(/,1x,a)', '<<<+- phase:mechanical:plastic:phenopowerlaw init -+>>>'
print'(/,a,i0)', ' # phases: ',count(myPlasticity); flush(IO_STDOUT) print'(/,1x,a,1x,i0)', '# phases:',count(myPlasticity); flush(IO_STDOUT)
phases => config_material%get_dict('phase') phases => config_material%get_dict('phase')
@ -123,7 +123,7 @@ module function plastic_phenopowerlaw_init() result(myPlasticity)
mech => phase%get_dict('mechanical') mech => phase%get_dict('mechanical')
pl => mech%get_dict('plastic') pl => mech%get_dict('plastic')
print'(/,1x,a,i0,a)', 'phase ',ph,': '//phases%key(ph) print'(/,1x,a,1x,i0,a)', 'phase',ph,': '//phases%key(ph)
refs = config_listReferences(pl,indent=3) refs = config_listReferences(pl,indent=3)
if (len(refs) > 0) print'(/,1x,a)', refs if (len(refs) > 0) print'(/,1x,a)', refs