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following DAMASK paper

This commit is contained in:
Martin Diehl 2022-06-13 14:08:45 +02:00
parent 9b94aca09f
commit 576c79a619
2 changed files with 37 additions and 34 deletions
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7
examples/config/phase/mechanical/plastic/dislotwin_alpha-Brass-shearbanding.yaml
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@ -4,9 +4,12 @@ references:
- N. Jia et al., - N. Jia et al.,
Acta Materialia 60(3):1099-1115, 2012, Acta Materialia 60(3):1099-1115, 2012,
https://doi.org/10.1016/j.actamat.2011.10.047 https://doi.org/10.1016/j.actamat.2011.10.047
- N. Jia et al.,
Acta Materialia 60:3415-3434, 2012,
https://doi.org/10.1016/j.actamat.2012.03.005
v_sb: 0.0001 gamma_0_sb: 0.0001
xi_sb: 300.0e6 # tau_hat_sb tau_sb: 180.0e6 # tau_hat_sb
Q_sb: 4.0e-19 # Q_0 Q_sb: 4.0e-19 # Q_0
p_sb: 1.15 p_sb: 1.15
q_sb: 1.0 q_sb: 1.0

64
src/phase_mechanical_plastic_dislotwin.f90
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@ -11,26 +11,26 @@ submodule(phase:plastic) dislotwin
type :: tParameters type :: tParameters
real(pReal) :: & real(pReal) :: &
Q_cl = 1.0_pReal, & !< activation energy for dislocation climb Q_cl = 1.0_pReal, & !< activation energy for dislocation climb
omega = 1.0_pReal, & !< frequency factor for dislocation climb omega = 1.0_pReal, & !< frequency factor for dislocation climb
D = 1.0_pReal, & !< grain size D = 1.0_pReal, & !< grain size
p_sb = 1.0_pReal, & !< p-exponent in shear band velocity p_sb = 1.0_pReal, & !< p-exponent in shear band velocity
q_sb = 1.0_pReal, & !< q-exponent in shear band velocity q_sb = 1.0_pReal, & !< q-exponent in shear band velocity
i_tw = 1.0_pReal, & !< adjustment parameter to calculate MFP for twinning i_tw = 1.0_pReal, & !< adjustment parameter to calculate MFP for twinning
i_tr = 1.0_pReal, & !< adjustment parameter to calculate MFP for transformation i_tr = 1.0_pReal, & !< adjustment parameter to calculate MFP for transformation
L_tw = 1.0_pReal, & !< length of twin nuclei L_tw = 1.0_pReal, & !< length of twin nuclei
L_tr = 1.0_pReal, & !< length of trans nuclei L_tr = 1.0_pReal, & !< length of trans nuclei
x_c = 1.0_pReal, & !< critical distance for formation of twin/trans nucleus x_c = 1.0_pReal, & !< critical distance for formation of twin/trans nucleus
V_cs = 1.0_pReal, & !< cross slip volume V_cs = 1.0_pReal, & !< cross slip volume
xi_sb = 1.0_pReal, & !< value for shearband resistance tau_sb = 1.0_pReal, & !< value for shearband resistance
v_sb = 1.0_pReal, & !< value for shearband velocity_0 gamma_0_sb = 1.0_pReal, & !< value for shearband velocity_0
E_sb = 1.0_pReal, & !< activation energy for shear bands E_sb = 1.0_pReal, & !< activation energy for shear bands
h = 1.0_pReal, & !< stack height of hex nucleus h = 1.0_pReal, & !< stack height of hex nucleus
gamma_char_tr = sqrt(0.125_pReal), & !< Characteristic shear for transformation gamma_char_tr = sqrt(0.125_pReal), & !< Characteristic shear for transformation
a_cF = 1.0_pReal, & a_cF = 1.0_pReal, &
cOverA_hP = 1.0_pReal, & cOverA_hP = 1.0_pReal, &
V_mol = 1.0_pReal, & V_mol = 1.0_pReal, &
rho = 1.0_pReal rho = 1.0_pReal
type(tPolynomial) :: & type(tPolynomial) :: &
Gamma_sf, & !< stacking fault energy Gamma_sf, & !< stacking fault energy
Delta_G !< free energy difference between austensite and martensite Delta_G !< free energy difference between austensite and martensite
@ -331,18 +331,18 @@ module function plastic_dislotwin_init() result(myPlasticity)
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! shearband related parameters ! shearband related parameters
prm%v_sb = pl%get_asFloat('v_sb',defaultVal=0.0_pReal) prm%gamma_0_sb = pl%get_asFloat('gamma_0_sb',defaultVal=0.0_pReal)
if (prm%v_sb > 0.0_pReal) then if (prm%gamma_0_sb > 0.0_pReal) then
prm%xi_sb = pl%get_asFloat('xi_sb') prm%tau_sb = pl%get_asFloat('tau_sb')
prm%E_sb = pl%get_asFloat('Q_sb') prm%E_sb = pl%get_asFloat('Q_sb')
prm%p_sb = pl%get_asFloat('p_sb') prm%p_sb = pl%get_asFloat('p_sb')
prm%q_sb = pl%get_asFloat('q_sb') prm%q_sb = pl%get_asFloat('q_sb')
! sanity checks ! sanity checks
if (prm%xi_sb < 0.0_pReal) extmsg = trim(extmsg)//' xi_sb' if (prm%tau_sb < 0.0_pReal) extmsg = trim(extmsg)//' tau_sb'
if (prm%E_sb < 0.0_pReal) extmsg = trim(extmsg)//' Q_sb' if (prm%E_sb < 0.0_pReal) extmsg = trim(extmsg)//' Q_sb'
if (prm%p_sb <= 0.0_pReal) extmsg = trim(extmsg)//' p_sb' if (prm%p_sb <= 0.0_pReal) extmsg = trim(extmsg)//' p_sb'
if (prm%q_sb <= 0.0_pReal) extmsg = trim(extmsg)//' q_sb' if (prm%q_sb <= 0.0_pReal) extmsg = trim(extmsg)//' q_sb'
end if end if
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
@ -569,7 +569,7 @@ module subroutine dislotwin_LpAndItsTangent(Lp,dLp_dMp,Mp,ph,en)
Lp = Lp * f_matrix Lp = Lp * f_matrix
dLp_dMp = dLp_dMp * f_matrix dLp_dMp = dLp_dMp * f_matrix
shearBandingContribution: if (dNeq0(prm%v_sb)) then shearBandingContribution: if (dNeq0(prm%gamma_0_sb)) then
E_kB_T = prm%E_sb/(K_B*T) E_kB_T = prm%E_sb/(K_B*T)
call math_eigh33(eigValues,eigVectors,Mp) ! is Mp symmetric by design? call math_eigh33(eigValues,eigVectors,Mp) ! is Mp symmetric by design?
@ -580,10 +580,10 @@ module subroutine dislotwin_LpAndItsTangent(Lp,dLp_dMp,Mp,ph,en)
tau = math_tensordot(Mp,P_sb) tau = math_tensordot(Mp,P_sb)
significantShearBandStress: if (abs(tau) > tol_math_check) then significantShearBandStress: if (abs(tau) > tol_math_check) then
StressRatio_p = (abs(tau)/prm%xi_sb)**prm%p_sb StressRatio_p = (abs(tau)/prm%tau_sb)**prm%p_sb
dot_gamma_sb = sign(prm%v_sb*exp(-E_kB_T*(1-StressRatio_p)**prm%q_sb), tau) dot_gamma_sb = sign(prm%gamma_0_sb*exp(-E_kB_T*(1-StressRatio_p)**prm%q_sb), tau)
ddot_gamma_dtau = abs(dot_gamma_sb)*E_kB_T*prm%p_sb*prm%q_sb/prm%xi_sb & ddot_gamma_dtau = abs(dot_gamma_sb)*E_kB_T*prm%p_sb*prm%q_sb/prm%tau_sb &
* (abs(tau)/prm%xi_sb)**(prm%p_sb-1.0_pReal) & * (abs(tau)/prm%tau_sb)**(prm%p_sb-1.0_pReal) &
* (1.0_pReal-StressRatio_p)**(prm%q_sb-1.0_pReal) * (1.0_pReal-StressRatio_p)**(prm%q_sb-1.0_pReal)
Lp = Lp + dot_gamma_sb * P_sb Lp = Lp + dot_gamma_sb * P_sb