Variable	Description
$\mathbf{\sigma }$, ${\sigma }_{ij}$	Cauchy stress
$\mathbf{S}$	Second Piola Kirchhoff stress
$\mathbf{E}$, $E_{ij}$	Green-Lagrange strain
${\mathbf{ϵ}}_{\mathrm{pl}},{ϵ}_{\mathrm{eq}}$	Plastic strain tensor, equivalent plastic strain
${ϵ}_{\mathrm{eng}}$	Engineering strain
${\dot{\gamma }}^{\alpha }$	Shear rate of dislocation on slip system $\alpha$
${\dot{\gamma }}_0$	Initial shear rate
${\tau }^{\alpha }$	Resolved shear stress for slip system $\alpha$
${\tau }_0$	Initial guess for the slip resistance
$\{{\sigma }_m,Q,b\}$	Isotropic hardening material parameter for J2 plasticity model
$\{C_i,g_i\}$	Chaboche kinematic hardening material parameter for J2 plasticity model
$\{{\tau }_c^f,h_0,p_2\}$	Isotropic hardening parameters for CP model
$\{\eta ,\mathsf{\mu },m\}$	Onho-Wang Kinematic hardening parameters for CP model
$Y,G$	Young’s modulus and shear modulus
${ϵ}_{eq}$	Equivalent strain
$\mathbb{C}$	Stiffness tensor
$\mathbf{F}$	Deformation gradient
${\mathbf{F}}^{\mathrm{e}}$	Elastic deformation gradient
${\mathbf{F}}^{\mathrm{p}}$	Plastic deformation gradient
$\mathbf{I}$	Unit tensor
q	Crystallographic orientation
$w_i$	Weight of $i^{th}$ crystallographic orientation
f	Orientation distribution function from experimental data
$\widehat{f}$	Orientation distribution function from reduced discrete orientations
${\psi }_{\Omega }$	Kernel density function with half-width $\Omega$
R	Ratio of maximum and minimum strains in cyclic hysteresis loop
$\theta$	Amplitude of torsional cyclic deformation