On the Equation of Motion and the Near-Field of a Nonuniformly Moving Dislocation

The O(1) terms in the near field asymptotic expansion of the radiated field from a nonuniformly moving dislocation are obtained by a singular asymptotic expansion. These terms enter the equation of motion of the dislocation and have not been given explicitly by Eshelby (1953). They depend on an integral over the history of the motion which physically represents the reaction of the motion to the radiation the dislocation has already emitted during its path.