The self-force and effective mass of a generally accelerating dislocation I: Screw dislocation

The self-force and effective mass of a moving dislocation in a generally accelerating motion are explicitly obtained on the basis of a surface-independent dynamic J-integral. Logarithmic singularities due to non-zero acceleration result in divergent integrals in the dynamic J-integral, which are treated by smearing out the dislocation core (ramp-core) and by regularizing in the sense of distributions, both coinciding in the leading terms.