CBN	cubic boron nitride
PD	Peridynamics
MD	mechanical dressing
EDD	electrical discharge dressing
ELID	electrolytic in-process dressing
PLD	pulsed laser dressing
FEM	the finite element method
SPH	smooth particle hydrodynamics
PMB	prototype micro elastic brittle
$a$, $b$, and $h$	simplify the size of abrasive grain
$a_p$	the dressing depth
$\mathit{b}\left(\mathit{x},t\right)$	external body force
$c$	the material bond constant
$d_x$	the horizontal distance that the grain moves
$E$	the Young’s modulus
$F_{ij*}$	the interaction force components between material points within the horizon
$\mathit{f}\left(\mathit{x},{\mathit{x}}^{\prime },t\right)$	PD bond force between material points x and x′
$G_c$	the critical energy of fracture
$K$	the bulk modulus of the material
$K_I$	the stress intensity factor
$K{\text{′}}_i\left(\theta \right)$	the transformed stress intensity factor
$\kappa$	the stiffness in the tangential direction
$m_i$	the mass
$\mathit{n}$	the direction vector of material bond
$n$	time step
$r_{A2}$	the analogous radius of dressing gear
$r_{ij*}$	the distance between material points within the horizon
$s$	the bond stretch ratio
$t$	time
$u\left(\mathit{x},t\right)$	the displacement field
${\ddot{u}}_i^n$	the acceleration at point $x_i$ in time step $n$
$V_p$	the volume of the material point at p
$v$	the Poisson’s ratio
$v_c$	the dressing speed
$v_{i\alpha }$,$v_{i\beta }$	the α component and β component the velocity of material point i
$w_c$	the critical micro-potential energy density
$w_{\xi }$	the material micro-potential energy density
$\rho \left(\mathit{x}\right)$	mass density
$\mathit{\eta }$	the relative displacement vector between material points
$\mathit{\xi }$	the relative position vector between material points
$\beta$	the grain orientation angle
Ω	the volume of the domain within the PD horizon of material point i
${\sigma }_{xx}$,${\sigma }_{yy}$ and ${\sigma }_{zz}$	the normal stresses in the x, y and z directions
${\sigma }_{xy}$, ${\sigma }_{xz}$ and ${\sigma }_{yz}$	the shear stresses