$a_0$	Total area of the machining zone
b	Cutting width for a single abrasive particle
$b_0$	Line width
m	Mass of the abrasive particle
$n_0$	Total number of particles
$n_1$	Total number of machining abrasives per unit time
r	Average particle radius
$w$	Kerf width
$A$	Projection area of the contact between the abrasive particle and the chip
$A_0$	Cutting area per unit time
$C_0$	Gap coefficient
$C_1$	Wire speed coefficient
$D$	Diameter of a single abrasive particle
$E$	Modulus of elasticity
$F_X$	Horizontal cutting force for the tip of an abrasive particle
$F_Y$	Vertical cutting force for the tip of an abrasive particle
I	Moment of inertia of a particle about its center of gravity
$L$	Chip length
$L_0$	Line contact length
$M_G$	Centroid moment
$P$	Working load
P*	Minimum threshold load for lateral cracking
$S$	Wire speed
$V$	Volume of material removed by an abrasive particle
$V_0$	Total volume removed per unit of time
$W$	Total energy stored in an element
XT, YT	Locus left by the tip of an abrasive particle cutting into the material surface
${\epsilon }_{ij}$	Strain vector
σ	Plastic flow stress
${\sigma }_{ij}$	Stress vector
${\sigma }_r$	Stress in the Z plane
${\sigma }_U$	Ultimate material strength
$\mu$	Coefficient of friction
$\nu$	Poisson’s ratio
$\theta$	Vibration angle
${\theta }_c$	Angle at which ${(dW/dV)}_{\min }^{\max }$occurs
ρ	Density of a single abrasive particle