adapted kinehardening
This commit is contained in:
Philip Eisenlohr
parent
2a88285088
commit
7ac552ee49
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@ -29,8 +29,6 @@ submodule(phase:plastic) kinehardening
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P_nS_neg
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integer :: &
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sum_N_sl
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logical :: &
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nonSchmidActive = .false.
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character(len=pSTRLEN), allocatable, dimension(:) :: &
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output
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character(len=:), allocatable, dimension(:) :: &
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@ -83,9 +81,10 @@ module function plastic_kinehardening_init() result(myPlasticity)
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integer, dimension(:), allocatable :: &
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N_sl
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real(pREAL), dimension(:), allocatable :: &
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xi_0, & !< initial forest stress
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xi_0 !< initial forest stress
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!! τ_for,0
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a !< non-Schmid coefficients
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real(pREAL), dimension(:,:), allocatable :: &
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a_nS !< non-Schmid coefficients
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character(len=:), allocatable :: &
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refs, &
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extmsg
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@ -144,13 +143,13 @@ module function plastic_kinehardening_init() result(myPlasticity)
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prm%P = crystal_SchmidMatrix_slip(N_sl,phase_lattice(ph),phase_cOverA(ph))
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if (phase_lattice(ph) == 'cI') then
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a = pl%get_as1dReal('a_nonSchmid_110',defaultVal=emptyRealArray)
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prm%nonSchmidActive = size(a) > 0
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prm%P_nS_pos = crystal_nonSchmidMatrix(N_sl,a,+1)
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prm%P_nS_neg = crystal_nonSchmidMatrix(N_sl,a,-1)
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allocate(a_nS(3,size(pl%get_as1dReal('a_nonSchmid_110',defaultVal=emptyRealArray))),source=0.0_pREAL)
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a_nS(1,:) = pl%get_as1dReal('a_nonSchmid_110',defaultVal=emptyRealArray)
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prm%P_nS_pos = crystal_SchmidMatrix_slip(N_sl,phase_lattice(ph),phase_cOverA(ph),nonSchmidCoefficients=a_nS,sense=+1)
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prm%P_nS_neg = crystal_SchmidMatrix_slip(N_sl,phase_lattice(ph),phase_cOverA(ph),nonSchmidCoefficients=a_nS,sense=-1)
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else
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prm%P_nS_pos = prm%P
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prm%P_nS_neg = prm%P
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prm%P_nS_pos = +prm%P
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prm%P_nS_neg = -prm%P
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end if
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prm%h_sl_sl = crystal_interaction_SlipBySlip(N_sl,pl%get_as1dReal('h_sl-sl'), &
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@ -256,38 +255,37 @@ end function plastic_kinehardening_init
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!--------------------------------------------------------------------------------------------------
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!> @brief Calculate plastic velocity gradient and its tangent.
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!--------------------------------------------------------------------------------------------------
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pure module subroutine kinehardening_LpAndItsTangent(Lp,dLp_dMp,Mp,ph,en)
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pure module subroutine kinehardening_LpAndItsTangent(Lp,dLp_dMp, Mp,ph,en)
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real(pREAL), dimension(3,3), intent(out) :: &
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Lp !< plastic velocity gradient
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real(pREAL), dimension(3,3,3,3), intent(out) :: &
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dLp_dMp !< derivative of Lp with respect to the Mandel stress
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real(pREAL), dimension(3,3), intent(in) :: &
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real(pREAL), dimension(3,3), intent(in) :: &
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Mp !< Mandel stress
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integer, intent(in) :: &
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integer, intent(in) :: &
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ph, &
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en
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integer :: &
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i,k,l,m,n
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real(pREAL), dimension(param(ph)%sum_N_sl) :: &
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dot_gamma_pos,dot_gamma_neg, &
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ddot_gamma_dtau_pos,ddot_gamma_dtau_neg
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dot_gamma, ddot_gamma_dtau
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Lp = 0.0_pREAL
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dLp_dMp = 0.0_pREAL
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associate(prm => param(ph))
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call kinetics(Mp,ph,en, dot_gamma_pos,dot_gamma_neg,ddot_gamma_dtau_pos,ddot_gamma_dtau_neg)
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call kinetics(Mp,ph,en, dot_gamma,ddot_gamma_dtau)
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do i = 1, prm%sum_N_sl
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Lp = Lp + (dot_gamma_pos(i)+dot_gamma_neg(i))*prm%P(1:3,1:3,i)
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Lp = Lp + dot_gamma(i)*prm%P(1:3,1:3,i)
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forall (k=1:3,l=1:3,m=1:3,n=1:3) &
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dLp_dMp(k,l,m,n) = dLp_dMp(k,l,m,n) &
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+ ddot_gamma_dtau_pos(i) * prm%P(k,l,i) * prm%P_nS_pos(m,n,i) &
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+ ddot_gamma_dtau_neg(i) * prm%P(k,l,i) * prm%P_nS_neg(m,n,i)
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+ ddot_gamma_dtau(i) * prm%P(k,l,i) &
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* merge(prm%P_nS_pos(m,n,i), &
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prm%P_nS_neg(m,n,i), dot_gamma(i)>0.0_pREAL)
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end do
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end associate
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@ -311,7 +309,7 @@ module function plastic_kinehardening_dotState(Mp,ph,en) result(dotState)
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real(pREAL) :: &
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sumGamma
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real(pREAL), dimension(param(ph)%sum_N_sl) :: &
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dot_gamma_pos,dot_gamma_neg
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dot_gamma
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associate(prm => param(ph), stt => state(ph), &
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@ -319,9 +317,9 @@ module function plastic_kinehardening_dotState(Mp,ph,en) result(dotState)
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dot_chi => dotState(IndexDotState(ph)%chi(1):IndexDotState(ph)%chi(2)),&
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dot_gamma => dotState(IndexDotState(ph)%gamma(1):IndexDotState(ph)%gamma(2)))
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call kinetics(Mp,ph,en, dot_gamma_pos,dot_gamma_neg)
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dot_gamma = abs(dot_gamma_pos+dot_gamma_neg)
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call kinetics(Mp,ph,en, dot_gamma)
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sumGamma = sum(stt%gamma(:,en))
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dot_gamma = abs(dot_gamma)
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dot_xi = matmul(prm%h_sl_sl,dot_gamma) &
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@ -338,6 +336,7 @@ module function plastic_kinehardening_dotState(Mp,ph,en) result(dotState)
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* exp(-(stt%gamma(:,en)-stt%gamma_flip(:,en))*prm%h_0_chi/(prm%chi_inf+stt%chi_flip(:,en))) &
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)
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end associate
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end function plastic_kinehardening_dotState
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@ -355,16 +354,16 @@ module subroutine plastic_kinehardening_deltaState(Mp,ph,en)
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en
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real(pREAL), dimension(param(ph)%sum_N_sl) :: &
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dot_gamma_pos,dot_gamma_neg, &
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dot_gamma, &
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sgn_gamma
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associate(prm => param(ph), stt => state(ph), dlt => deltaState(ph))
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call kinetics(Mp,ph,en, dot_gamma_pos,dot_gamma_neg)
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call kinetics(Mp,ph,en, dot_gamma)
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sgn_gamma = merge(state(ph)%sgn_gamma(:,en), &
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sign(1.0_pREAL,dot_gamma_pos+dot_gamma_neg), &
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dEq0(dot_gamma_pos+dot_gamma_neg,1e-10_pREAL))
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sign(1.0_pREAL,dot_gamma), &
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dEq0(dot_gamma,1e-10_pREAL))
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where(dNeq(sgn_gamma,stt%sgn_gamma(:,en),0.1_pREAL)) ! ToDo sgn_gamma*stt%sgn_gamma(:,en)<0
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dlt%sgn_gamma (:,en) = sgn_gamma - stt%sgn_gamma (:,en)
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@ -433,61 +432,38 @@ end subroutine plastic_kinehardening_result
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! at the end since some of them are optional.
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!--------------------------------------------------------------------------------------------------
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pure subroutine kinetics(Mp,ph,en, &
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dot_gamma_pos,dot_gamma_neg,ddot_gamma_dtau_pos,ddot_gamma_dtau_neg)
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dot_gamma,ddot_gamma_dtau)
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real(pREAL), dimension(3,3), intent(in) :: &
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real(pREAL), dimension(3,3), intent(in) :: &
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Mp !< Mandel stress
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integer, intent(in) :: &
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integer, intent(in) :: &
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ph, &
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en
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real(pREAL), intent(out), dimension(param(ph)%sum_N_sl) :: &
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dot_gamma_pos, &
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dot_gamma_neg
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real(pREAL), intent(out), dimension(param(ph)%sum_N_sl), optional :: &
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ddot_gamma_dtau_pos, &
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ddot_gamma_dtau_neg
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real(pREAL), dimension(param(ph)%sum_N_sl), intent(out) :: &
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dot_gamma
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real(pREAL), dimension(param(ph)%sum_N_sl), optional, intent(out) :: &
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ddot_gamma_dtau
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real(pREAL), dimension(param(ph)%sum_N_sl) :: &
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tau_pos, &
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tau_neg
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integer :: i
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associate(prm => param(ph), stt => state(ph))
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do i = 1, prm%sum_N_sl
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tau_pos(i) = math_tensordot(Mp,prm%P_nS_pos(1:3,1:3,i)) - stt%chi(i,en)
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tau_neg(i) = merge(math_tensordot(Mp,prm%P_nS_neg(1:3,1:3,i)) - stt%chi(i,en), &
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0.0_pREAL, prm%nonSchmidActive)
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end do
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tau_pos = [(math_tensordot(Mp,prm%P_nS_pos(1:3,1:3,i)) - stt%chi(i,en),i=1,prm%sum_N_sl)]
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tau_neg = [(math_tensordot(Mp,prm%P_nS_neg(1:3,1:3,i)) + stt%chi(i,en),i=1,prm%sum_N_sl)]
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where(dNeq0(tau_pos))
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dot_gamma_pos = prm%dot_gamma_0 * merge(0.5_pREAL,1.0_pREAL, prm%nonSchmidActive) & ! 1/2 if non-Schmid active
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* sign(abs(tau_pos/stt%xi(:,en))**prm%n, tau_pos)
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else where
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dot_gamma_pos = 0.0_pREAL
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end where
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dot_gamma = merge(+1.0_pREAL,-1.0_pREAL, tau_pos>tau_neg) &
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* prm%dot_gamma_0 &
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* (merge(tau_pos,tau_neg, tau_pos>tau_neg)/stt%xi(:,en))**prm%n
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where(dNeq0(tau_neg))
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dot_gamma_neg = prm%dot_gamma_0 * 0.5_pREAL & ! only used if non-Schmid active, always 1/2
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* sign(abs(tau_neg/stt%xi(:,en))**prm%n, tau_neg)
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else where
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dot_gamma_neg = 0.0_pREAL
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end where
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if (present(ddot_gamma_dtau_pos)) then
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where(dNeq0(dot_gamma_pos))
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ddot_gamma_dtau_pos = dot_gamma_pos*prm%n/tau_pos
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if (present(ddot_gamma_dtau)) then
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where(dNeq0(dot_gamma))
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ddot_gamma_dtau = dot_gamma*prm%n/merge(tau_pos,tau_neg, tau_pos>tau_neg)
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else where
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ddot_gamma_dtau_pos = 0.0_pREAL
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end where
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end if
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if (present(ddot_gamma_dtau_neg)) then
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where(dNeq0(dot_gamma_neg))
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ddot_gamma_dtau_neg = dot_gamma_neg*prm%n/tau_neg
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else where
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ddot_gamma_dtau_neg = 0.0_pREAL
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ddot_gamma_dtau = 0.0_pREAL
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end where
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end if
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@ -104,7 +104,7 @@ module function plastic_phenopowerlaw_init() result(myPlasticity)
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if (count(myPlasticity) == 0) return
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print'(/,1x,a)', '<<<+- phase:mechanical:plastic:phenopowerlaw init -+>>>'
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print'(/,a,i0)', ' # phases: ',count(myPlasticity); flush(IO_STDOUT)
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print'(/,1x,a,1x,i0)', '# phases:',count(myPlasticity); flush(IO_STDOUT)
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phases => config_material%get_dict('phase')
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@ -123,7 +123,7 @@ module function plastic_phenopowerlaw_init() result(myPlasticity)
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mech => phase%get_dict('mechanical')
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pl => mech%get_dict('plastic')
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print'(/,1x,a,i0,a)', 'phase ',ph,': '//phases%key(ph)
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print'(/,1x,a,1x,i0,a)', 'phase',ph,': '//phases%key(ph)
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refs = config_listReferences(pl,indent=3)
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if (len(refs) > 0) print'(/,1x,a)', refs
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