IBC	Ice boundary constraint	${\delta }_{ij}$	Kronecker symbol
FEM	Finite element model	${\mu }_i,{\lambda }_i$	Lame coefficient
AA2024	Aluminum alloy 2024	${\epsilon }_{eq}^p$	Equivalent plastic strain
J-C	Johnson–cook	$p$	Hydrostatic stress
$\sigma$	Flow stress	${\epsilon }_f$	Failure strain
$\epsilon$	Plastic strain	${\epsilon }_0$	Initial failure strain
$\dot{\epsilon }$	Plastic strain rate	LN2	Liquid nitrogen
$\dot{{\epsilon }_0}$	Equivalent plastic strain	$\mu$	Friction coefficient
$T$	Material tempurature	${\tau }_f$	Friction between the tool and the machined surface
$T_r$	Room tempurature	${\sigma }_n$	Normal stress
$T_m$	Melting tempurature	$q_h$	Heat dissipation density
$A, B, C, n,m$	Johnson–Cook constitutive constants	$T_f$	Tool temperature
${\displaystyle \sum }{\overline{\epsilon }}^{pl}$	Increment of the equivalent plastic strain	$\overline{h}$	Average convective heat transfer coefficient
${\displaystyle \sum }{\overline{\epsilon }}_f^{pl}$	Equivalent strain of fracture	$L_e$	Effective cooling strength
$D_1,D_2,D_3,D_4,D_5$	Johnson–Cook damage constants for Aluminum alloy 2024	$K_{air}$	Heat transfer coefficient of air
$a_0,a_1,a_2$	Ice constants	$P_r$	Prandtl number
$p$	Hydrostatic stress	$R_e$	Reynolds number
$q$	Octahedral shear stress	${\overline{h}}_e$	Actual heat transfer coefficient
$d{\sigma }_{ij}$	Stress increment	$\lambda$	Compensation coefficient