A kinetic Monte Carlo simulation of dislocation motion is introduced. The d
islocations are assumed to be composed of pure edge and screw segments conf
ined to a fixed lattice. The stress and temperature dependence of the dislo
cation velocity is studied, and finite-size effects are discussed. It is ar
gued that surfaces and boundaries may play a significant role in the veloci
ty of dislocations. The simulated dislocations are shown to display kinetic
roughening according to the exponents predicted by the Kardar-Parisi-Zhang
equation. [S0163-1829(99)11429-2].