After defining the particle velocity distribution function and its moments, transport and collision parts of the kinetic equation were derived. One part was based upon the Fokker-Planck long-range interaction for dislocations. The expressions which were obtained for the diffusion coefficients in this equation were found to be similar to published data. As a result of a successive averaging procedure of the kinetic equation, the transport equations for dislocation density and flow density tensor were derived. In particular, the first moment equation was found to be similar to the equation for the conservation of Burgers vector in the continuous theory of dislocations. A 1-dimensional example was used to calculate the dislocation drag coefficient in dynamically loaded media.

Y.I.Mescheryakov, E.I.Prockuratova: International Journal of Solids and Structures, 1995, 32[12], 1711-26