following paper
eq (10), eq (14), eq (49), eq (50), and Fig. 1
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@ -28,7 +28,9 @@ submodule(phase:plastic) dislotwin
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h = 1.0_pReal, & !< stack height of hex nucleus
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T_ref = T_ROOM, &
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a_cF = 1.0_pReal, &
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cOverA_hP = 1.0_pReal
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cOverA_hP = 1.0_pReal, &
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V_mol = 1.0_pReal, &
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rho = 1.0_pReal
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real(pReal), dimension(3) :: &
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Gamma_sf = 0.0_pReal, & !< stacking fault energy
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Delta_G = 0.0_pReal !< free energy difference between austensite and martensite
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@ -290,15 +292,15 @@ module function plastic_dislotwin_init() result(myPlasticity)
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prm%b_tr = pl%get_as1dFloat('b_tr')
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prm%b_tr = math_expand(prm%b_tr,prm%N_tr)
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prm%h = pl%get_asFloat('h')
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prm%i_tr = pl%get_asFloat('i_tr')
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prm%Delta_G(1) = pl%get_asFloat('Delta_G')
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prm%Delta_G(2) = pl%get_asFloat('Delta_G,T', defaultVal=0.0_pReal)
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prm%Delta_G(3) = pl%get_asFloat('Delta_G,T^2',defaultVal=0.0_pReal)
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prm%L_tr = pl%get_asFloat('L_tr')
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a_cF = pl%get_asFloat('a_cF')
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prm%h = 5.0_pReal * a_cF/sqrt(3.0_pReal)
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prm%cOverA_hP = pl%get_asFloat('c/a_hP')
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prm%rho = 4.0_pReal/(sqrt(3.0_pReal)*a_cF**2)/N_A
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prm%h_tr_tr = lattice_interaction_TransByTrans(prm%N_tr,pl%get_as1dFloat('h_tr-tr'),&
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phase_lattice(ph))
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@ -1009,8 +1011,7 @@ pure subroutine kinetics_tr(Mp,T,dot_gamma_sl,ph,en,&
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+ prm%Delta_G(2) * (T-prm%T_ref) &
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+ prm%Delta_G(3) * (T-prm%T_ref)**2
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tau_hat = 3.0_pReal*prm%b_tr(1)*mu/prm%L_tr &
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+ Gamma_sf/(3.0_pReal*prm%b_tr(1)) &
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+ prm%h*Delta_G/(3.0_pReal*prm%b_tr(1))
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+ (Gamma_sf + (prm%h/prm%V_mol - 2.0_pReal*prm%rho)*Delta_G)/(3.0_pReal*prm%b_tr(1))
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x0 = mu*prm%b_sl(1)**2*(2.0_pReal+nu)/(Gamma_sf*8.0_pReal*PI*(1.0_pReal-nu))
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tau_r = mu*prm%b_sl(1)/(2.0_pReal*PI)*(1.0_pReal/(x0+prm%x_c)+cos(PI/3.0_pReal)/x0)
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