extended to phenopower law
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@ -8,28 +8,28 @@ submodule(constitutive:constitutive_plastic) plastic_phenopowerlaw
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type :: tParameters
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real(pReal) :: &
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gdot0_slip = 1.0_pReal, & !< reference shear strain rate for slip
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gdot0_twin = 1.0_pReal, & !< reference shear strain rate for twin
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n_slip = 1.0_pReal, & !< stress exponent for slip
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n_twin = 1.0_pReal, & !< stress exponent for twin
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spr = 1.0_pReal, & !< push-up factor for slip saturation due to twinning
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c_1 = 1.0_pReal, &
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c_2 = 1.0_pReal, &
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c_3 = 1.0_pReal, &
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c_4 = 1.0_pReal, &
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h0_SlipSlip = 1.0_pReal, & !< reference hardening slip - slip
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h0_TwinSlip = 1.0_pReal, & !< reference hardening twin - slip
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h0_TwinTwin = 1.0_pReal, & !< reference hardening twin - twin
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a_slip = 1.0_pReal
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dot_gamma_0_sl = 1.0_pReal, & !< reference shear strain rate for slip
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dot_gamma_0_tw = 1.0_pReal, & !< reference shear strain rate for twin
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n_sl = 1.0_pReal, & !< stress exponent for slip
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n_tw = 1.0_pReal, & !< stress exponent for twin
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f_sl_sat_tw = 1.0_pReal, & !< push-up factor for slip saturation due to twinning
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c_1 = 1.0_pReal, &
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c_2 = 1.0_pReal, &
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c_3 = 1.0_pReal, &
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c_4 = 1.0_pReal, &
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h_0_sl_sl = 1.0_pReal, & !< reference hardening slip - slip
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h_0_tw_sl = 1.0_pReal, & !< reference hardening twin - slip
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h_0_tw_tw = 1.0_pReal, & !< reference hardening twin - twin
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a_sl = 1.0_pReal
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real(pReal), allocatable, dimension(:) :: &
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xi_slip_sat, & !< maximum critical shear stress for slip
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H_int, & !< per family hardening activity (optional)
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gamma_twin_char !< characteristic shear for twins
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xi_inf_sl, & !< maximum critical shear stress for slip
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h_int, & !< per family hardening activity (optional)
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gamma_tw_char !< characteristic shear for twins
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real(pReal), allocatable, dimension(:,:) :: &
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interaction_SlipSlip, & !< slip resistance from slip activity
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interaction_SlipTwin, & !< slip resistance from twin activity
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interaction_TwinSlip, & !< twin resistance from slip activity
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interaction_TwinTwin !< twin resistance from twin activity
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h_sl_sl, & !< slip resistance from slip activity
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h_sl_tw, & !< slip resistance from twin activity
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h_tw_sl, & !< twin resistance from slip activity
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h_tw_tw !< twin resistance from twin activity
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real(pReal), allocatable, dimension(:,:,:) :: &
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P_sl, &
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P_tw, &
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@ -78,8 +78,8 @@ module function plastic_phenopowerlaw_init() result(myPlasticity)
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integer, dimension(:), allocatable :: &
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N_sl, N_tw
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real(pReal), dimension(:), allocatable :: &
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xi_slip_0, & !< initial critical shear stress for slip
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xi_twin_0, & !< initial critical shear stress for twin
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xi_0_sl, & !< initial critical shear stress for slip
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xi_0_tw, & !< initial critical shear stress for twin
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a !< non-Schmid coefficients
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character(len=pStringLen) :: &
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extmsg = ''
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@ -128,36 +128,36 @@ module function plastic_phenopowerlaw_init() result(myPlasticity)
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prm%nonSchmid_pos = prm%P_sl
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prm%nonSchmid_neg = prm%P_sl
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endif
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prm%interaction_SlipSlip = lattice_interaction_SlipBySlip(N_sl, &
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pl%get_asFloats('h_sl_sl'), &
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phase%get_asString('lattice'))
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prm%h_sl_sl = lattice_interaction_SlipBySlip(N_sl, &
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pl%get_asFloats('h_sl_sl'), &
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phase%get_asString('lattice'))
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xi_slip_0 = pl%get_asFloats('xi_0_sl', requiredSize=size(N_sl))
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prm%xi_slip_sat = pl%get_asFloats('xi_inf_sl', requiredSize=size(N_sl))
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prm%H_int = pl%get_asFloats('h_int', requiredSize=size(N_sl), &
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defaultVal=[(0.0_pReal,i=1,size(N_sl))])
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xi_0_sl = pl%get_asFloats('xi_0_sl', requiredSize=size(N_sl))
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prm%xi_inf_sl = pl%get_asFloats('xi_inf_sl', requiredSize=size(N_sl))
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prm%h_int = pl%get_asFloats('h_int', requiredSize=size(N_sl), &
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defaultVal=[(0.0_pReal,i=1,size(N_sl))])
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prm%gdot0_slip = pl%get_asFloat('dot_gamma_0_sl')
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prm%n_slip = pl%get_asFloat('n_sl')
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prm%a_slip = pl%get_asFloat('a_sl')
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prm%h0_SlipSlip = pl%get_asFloat('h_0_sl_sl')
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prm%dot_gamma_0_sl = pl%get_asFloat('dot_gamma_0_sl')
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prm%n_sl = pl%get_asFloat('n_sl')
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prm%a_sl = pl%get_asFloat('a_sl')
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prm%h_0_sl_sl = pl%get_asFloat('h_0_sl_sl')
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! expand: family => system
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xi_slip_0 = math_expand(xi_slip_0, N_sl)
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prm%xi_slip_sat = math_expand(prm%xi_slip_sat,N_sl)
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prm%H_int = math_expand(prm%H_int, N_sl)
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xi_0_sl = math_expand(xi_0_sl, N_sl)
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prm%xi_inf_sl = math_expand(prm%xi_inf_sl,N_sl)
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prm%h_int = math_expand(prm%h_int, N_sl)
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! sanity checks
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if ( prm%gdot0_slip <= 0.0_pReal) extmsg = trim(extmsg)//' dot_gamma_0_sl'
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if ( prm%a_slip <= 0.0_pReal) extmsg = trim(extmsg)//' a_sl'
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if ( prm%n_slip <= 0.0_pReal) extmsg = trim(extmsg)//' n_sl'
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if (any(xi_slip_0 <= 0.0_pReal)) extmsg = trim(extmsg)//' xi_0_sl'
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if (any(prm%xi_slip_sat <= 0.0_pReal)) extmsg = trim(extmsg)//' xi_inf_sl'
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if ( prm%dot_gamma_0_sl <= 0.0_pReal) extmsg = trim(extmsg)//' dot_gamma_0_sl'
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if ( prm%a_sl <= 0.0_pReal) extmsg = trim(extmsg)//' a_sl'
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if ( prm%n_sl <= 0.0_pReal) extmsg = trim(extmsg)//' n_sl'
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if (any(xi_0_sl <= 0.0_pReal)) extmsg = trim(extmsg)//' xi_0_sl'
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if (any(prm%xi_inf_sl <= 0.0_pReal)) extmsg = trim(extmsg)//' xi_inf_sl'
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else slipActive
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xi_slip_0 = emptyRealArray
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allocate(prm%xi_slip_sat,prm%H_int,source=emptyRealArray)
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allocate(prm%interaction_SlipSlip(0,0))
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xi_0_sl = emptyRealArray
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allocate(prm%xi_inf_sl,prm%h_int,source=emptyRealArray)
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allocate(prm%h_sl_sl(0,0))
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endif slipActive
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!--------------------------------------------------------------------------------------------------
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@ -165,52 +165,52 @@ module function plastic_phenopowerlaw_init() result(myPlasticity)
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N_tw = pl%get_asInts('N_tw', defaultVal=emptyIntArray)
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prm%sum_N_tw = sum(abs(N_tw))
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twinActive: if (prm%sum_N_tw > 0) then
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prm%P_tw = lattice_SchmidMatrix_twin(N_tw,phase%get_asString('lattice'),&
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phase%get_asFloat('c/a',defaultVal=0.0_pReal))
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prm%interaction_TwinTwin = lattice_interaction_TwinByTwin(N_tw,&
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pl%get_asFloats('h_tw_tw'), &
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phase%get_asString('lattice'))
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prm%gamma_twin_char = lattice_characteristicShear_twin(N_tw,phase%get_asString('lattice'),&
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phase%get_asFloat('c/a',defaultVal=0.0_pReal))
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prm%P_tw = lattice_SchmidMatrix_twin(N_tw,phase%get_asString('lattice'),&
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phase%get_asFloat('c/a',defaultVal=0.0_pReal))
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prm%h_tw_tw = lattice_interaction_TwinByTwin(N_tw,&
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pl%get_asFloats('h_tw_tw'), &
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phase%get_asString('lattice'))
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prm%gamma_tw_char = lattice_characteristicShear_twin(N_tw,phase%get_asString('lattice'),&
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phase%get_asFloat('c/a',defaultVal=0.0_pReal))
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xi_twin_0 = pl%get_asFloats('xi_0_tw',requiredSize=size(N_tw))
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xi_0_tw = pl%get_asFloats('xi_0_tw',requiredSize=size(N_tw))
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prm%c_1 = pl%get_asFloat('c_1',defaultVal=0.0_pReal)
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prm%c_2 = pl%get_asFloat('c_2',defaultVal=1.0_pReal)
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prm%c_3 = pl%get_asFloat('c_3',defaultVal=0.0_pReal)
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prm%c_4 = pl%get_asFloat('c_4',defaultVal=0.0_pReal)
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prm%gdot0_twin = pl%get_asFloat('dot_gamma_0_tw')
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prm%n_twin = pl%get_asFloat('n_tw')
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prm%spr = pl%get_asFloat('f_sl_sat_tw')
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prm%h0_TwinTwin = pl%get_asFloat('h_0_tw_tw')
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prm%c_1 = pl%get_asFloat('c_1',defaultVal=0.0_pReal)
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prm%c_2 = pl%get_asFloat('c_2',defaultVal=1.0_pReal)
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prm%c_3 = pl%get_asFloat('c_3',defaultVal=0.0_pReal)
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prm%c_4 = pl%get_asFloat('c_4',defaultVal=0.0_pReal)
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prm%dot_gamma_0_tw = pl%get_asFloat('dot_gamma_0_tw')
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prm%n_tw = pl%get_asFloat('n_tw')
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prm%f_sl_sat_tw = pl%get_asFloat('f_sl_sat_tw')
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prm%h_0_tw_tw = pl%get_asFloat('h_0_tw_tw')
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! expand: family => system
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xi_twin_0 = math_expand(xi_twin_0,N_tw)
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xi_0_tw = math_expand(xi_0_tw,N_tw)
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! sanity checks
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if (prm%gdot0_twin <= 0.0_pReal) extmsg = trim(extmsg)//' dot_gamma_0_tw'
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if (prm%n_twin <= 0.0_pReal) extmsg = trim(extmsg)//' n_tw'
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if (prm%dot_gamma_0_tw <= 0.0_pReal) extmsg = trim(extmsg)//' dot_gamma_0_tw'
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if (prm%n_tw <= 0.0_pReal) extmsg = trim(extmsg)//' n_tw'
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else twinActive
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xi_twin_0 = emptyRealArray
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allocate(prm%gamma_twin_char,source=emptyRealArray)
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allocate(prm%interaction_TwinTwin(0,0))
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xi_0_tw = emptyRealArray
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allocate(prm%gamma_tw_char,source=emptyRealArray)
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allocate(prm%h_tw_tw(0,0))
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endif twinActive
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!--------------------------------------------------------------------------------------------------
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! slip-twin related parameters
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slipAndTwinActive: if (prm%sum_N_sl > 0 .and. prm%sum_N_tw > 0) then
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prm%h0_TwinSlip = pl%get_asFloat('h_0_tw_sl')
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prm%interaction_SlipTwin = lattice_interaction_SlipByTwin(N_sl,N_tw,&
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pl%get_asFloats('h_sl_tw'), &
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phase%get_asString('lattice'))
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prm%interaction_TwinSlip = lattice_interaction_TwinBySlip(N_tw,N_sl,&
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pl%get_asFloats('h_tw_sl'), &
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phase%get_asString('lattice'))
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prm%h_0_tw_sl = pl%get_asFloat('h_0_tw_sl')
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prm%h_sl_tw = lattice_interaction_SlipByTwin(N_sl,N_tw,&
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pl%get_asFloats('h_sl_tw'), &
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phase%get_asString('lattice'))
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prm%h_tw_sl = lattice_interaction_TwinBySlip(N_tw,N_sl,&
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pl%get_asFloats('h_tw_sl'), &
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phase%get_asString('lattice'))
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else slipAndTwinActive
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allocate(prm%interaction_SlipTwin(prm%sum_N_sl,prm%sum_N_tw)) ! at least one dimension is 0
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allocate(prm%interaction_TwinSlip(prm%sum_N_tw,prm%sum_N_sl)) ! at least one dimension is 0
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prm%h0_TwinSlip = 0.0_pReal
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allocate(prm%h_sl_tw(prm%sum_N_sl,prm%sum_N_tw)) ! at least one dimension is 0
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allocate(prm%h_tw_sl(prm%sum_N_tw,prm%sum_N_sl)) ! at least one dimension is 0
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prm%h_0_tw_sl = 0.0_pReal
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endif slipAndTwinActive
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!--------------------------------------------------------------------------------------------------
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@ -237,7 +237,7 @@ module function plastic_phenopowerlaw_init() result(myPlasticity)
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startIndex = 1
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endIndex = prm%sum_N_sl
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stt%xi_slip => plasticState(p)%state (startIndex:endIndex,:)
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stt%xi_slip = spread(xi_slip_0, 2, NipcMyPhase)
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stt%xi_slip = spread(xi_0_sl, 2, NipcMyPhase)
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dot%xi_slip => plasticState(p)%dotState(startIndex:endIndex,:)
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plasticState(p)%atol(startIndex:endIndex) = pl%get_asFloat('atol_xi',defaultVal=1.0_pReal)
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if(any(plasticState(p)%atol(startIndex:endIndex) < 0.0_pReal)) extmsg = trim(extmsg)//' atol_xi'
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@ -245,7 +245,7 @@ module function plastic_phenopowerlaw_init() result(myPlasticity)
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startIndex = endIndex + 1
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endIndex = endIndex + prm%sum_N_tw
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stt%xi_twin => plasticState(p)%state (startIndex:endIndex,:)
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stt%xi_twin = spread(xi_twin_0, 2, NipcMyPhase)
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stt%xi_twin = spread(xi_0_tw, 2, NipcMyPhase)
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dot%xi_twin => plasticState(p)%dotState(startIndex:endIndex,:)
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plasticState(p)%atol(startIndex:endIndex) = pl%get_asFloat('atol_xi',defaultVal=1.0_pReal)
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if(any(plasticState(p)%atol(startIndex:endIndex) < 0.0_pReal)) extmsg = trim(extmsg)//' atol_xi'
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@ -354,20 +354,20 @@ module subroutine plastic_phenopowerlaw_dotState(Mp,instance,of)
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associate(prm => param(instance), stt => state(instance), dot => dotState(instance))
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sumGamma = sum(stt%gamma_slip(:,of))
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sumF = sum(stt%gamma_twin(:,of)/prm%gamma_twin_char)
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sumF = sum(stt%gamma_twin(:,of)/prm%gamma_tw_char)
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!--------------------------------------------------------------------------------------------------
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! system-independent (nonlinear) prefactors to M_Xx (X influenced by x) matrices
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c_SlipSlip = prm%h0_slipslip * (1.0_pReal + prm%c_1*sumF** prm%c_2)
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c_TwinSlip = prm%h0_TwinSlip * sumGamma**prm%c_3
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c_TwinTwin = prm%h0_TwinTwin * sumF**prm%c_4
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c_SlipSlip = prm%h_0_sl_sl * (1.0_pReal + prm%c_1*sumF** prm%c_2)
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c_TwinSlip = prm%h_0_tw_sl * sumGamma**prm%c_3
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c_TwinTwin = prm%h_0_tw_tw * sumF**prm%c_4
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!--------------------------------------------------------------------------------------------------
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! calculate left and right vectors
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left_SlipSlip = 1.0_pReal + prm%H_int
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xi_slip_sat_offset = prm%spr*sqrt(sumF)
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right_SlipSlip = abs(1.0_pReal-stt%xi_slip(:,of) / (prm%xi_slip_sat+xi_slip_sat_offset)) **prm%a_slip &
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* sign(1.0_pReal,1.0_pReal-stt%xi_slip(:,of) / (prm%xi_slip_sat+xi_slip_sat_offset))
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left_SlipSlip = 1.0_pReal + prm%h_int
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xi_slip_sat_offset = prm%f_sl_sat_tw*sqrt(sumF)
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right_SlipSlip = abs(1.0_pReal-stt%xi_slip(:,of) / (prm%xi_inf_sl+xi_slip_sat_offset)) **prm%a_sl &
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* sign(1.0_pReal,1.0_pReal-stt%xi_slip(:,of) / (prm%xi_inf_sl+xi_slip_sat_offset))
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!--------------------------------------------------------------------------------------------------
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! shear rates
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@ -378,11 +378,11 @@ module subroutine plastic_phenopowerlaw_dotState(Mp,instance,of)
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!--------------------------------------------------------------------------------------------------
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! hardening
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dot%xi_slip(:,of) = c_SlipSlip * left_SlipSlip * &
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matmul(prm%interaction_SlipSlip,dot%gamma_slip(:,of)*right_SlipSlip) &
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+ matmul(prm%interaction_SlipTwin,dot%gamma_twin(:,of))
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matmul(prm%h_sl_sl,dot%gamma_slip(:,of)*right_SlipSlip) &
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+ matmul(prm%h_sl_tw,dot%gamma_twin(:,of))
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dot%xi_twin(:,of) = c_TwinSlip * matmul(prm%interaction_TwinSlip,dot%gamma_slip(:,of)) &
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+ c_TwinTwin * matmul(prm%interaction_TwinTwin,dot%gamma_twin(:,of))
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dot%xi_twin(:,of) = c_TwinSlip * matmul(prm%h_tw_sl,dot%gamma_slip(:,of)) &
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+ c_TwinTwin * matmul(prm%h_tw_tw,dot%gamma_twin(:,of))
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end associate
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end subroutine plastic_phenopowerlaw_dotState
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@ -460,29 +460,29 @@ pure subroutine kinetics_slip(Mp,instance,of, &
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enddo
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where(dNeq0(tau_slip_pos))
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gdot_slip_pos = prm%gdot0_slip * merge(0.5_pReal,1.0_pReal, prm%nonSchmidActive) & ! 1/2 if non-Schmid active
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* sign(abs(tau_slip_pos/stt%xi_slip(:,of))**prm%n_slip, tau_slip_pos)
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gdot_slip_pos = prm%dot_gamma_0_sl * merge(0.5_pReal,1.0_pReal, prm%nonSchmidActive) & ! 1/2 if non-Schmid active
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* sign(abs(tau_slip_pos/stt%xi_slip(:,of))**prm%n_sl, tau_slip_pos)
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else where
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gdot_slip_pos = 0.0_pReal
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end where
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where(dNeq0(tau_slip_neg))
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gdot_slip_neg = prm%gdot0_slip * 0.5_pReal & ! only used if non-Schmid active, always 1/2
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* sign(abs(tau_slip_neg/stt%xi_slip(:,of))**prm%n_slip, tau_slip_neg)
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gdot_slip_neg = prm%dot_gamma_0_sl * 0.5_pReal & ! only used if non-Schmid active, always 1/2
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* sign(abs(tau_slip_neg/stt%xi_slip(:,of))**prm%n_sl, tau_slip_neg)
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else where
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gdot_slip_neg = 0.0_pReal
|
||||
end where
|
||||
|
||||
if (present(dgdot_dtau_slip_pos)) then
|
||||
where(dNeq0(gdot_slip_pos))
|
||||
dgdot_dtau_slip_pos = gdot_slip_pos*prm%n_slip/tau_slip_pos
|
||||
dgdot_dtau_slip_pos = gdot_slip_pos*prm%n_sl/tau_slip_pos
|
||||
else where
|
||||
dgdot_dtau_slip_pos = 0.0_pReal
|
||||
end where
|
||||
endif
|
||||
if (present(dgdot_dtau_slip_neg)) then
|
||||
where(dNeq0(gdot_slip_neg))
|
||||
dgdot_dtau_slip_neg = gdot_slip_neg*prm%n_slip/tau_slip_neg
|
||||
dgdot_dtau_slip_neg = gdot_slip_neg*prm%n_sl/tau_slip_neg
|
||||
else where
|
||||
dgdot_dtau_slip_neg = 0.0_pReal
|
||||
end where
|
||||
|
@ -524,15 +524,15 @@ pure subroutine kinetics_twin(Mp,instance,of,&
|
|||
enddo
|
||||
|
||||
where(tau_twin > 0.0_pReal)
|
||||
gdot_twin = (1.0_pReal-sum(stt%gamma_twin(:,of)/prm%gamma_twin_char)) & ! only twin in untwinned volume fraction
|
||||
* prm%gdot0_twin*(abs(tau_twin)/stt%xi_twin(:,of))**prm%n_twin
|
||||
gdot_twin = (1.0_pReal-sum(stt%gamma_twin(:,of)/prm%gamma_tw_char)) & ! only twin in untwinned volume fraction
|
||||
* prm%dot_gamma_0_tw*(abs(tau_twin)/stt%xi_twin(:,of))**prm%n_tw
|
||||
else where
|
||||
gdot_twin = 0.0_pReal
|
||||
end where
|
||||
|
||||
if (present(dgdot_dtau_twin)) then
|
||||
where(dNeq0(gdot_twin))
|
||||
dgdot_dtau_twin = gdot_twin*prm%n_twin/tau_twin
|
||||
dgdot_dtau_twin = gdot_twin*prm%n_tw/tau_twin
|
||||
else where
|
||||
dgdot_dtau_twin = 0.0_pReal
|
||||
end where
|
||||
|
|
Loading…
Reference in New Issue