KINETIC-THEORY OF CONTINUOUSLY DISTRIBUTED DISLOCATIONS

The paper is devoted to the kinetic theory of continuously distributed dislocations. After defining the particle velocity distribution funct ion and its moments, we derive transport and collision parts of the ki netic equation. Its right hand side is based on the Fokker-Plank long- range interaction for dislocations. The expressions obtained for the d iffusion coefficients of this equation are found to be similar to anal ogous values obtained by others. As a result of a successive procedure of averaging the kinetic equation, the transport equations for disloc ation density and flow density tensors are derived. In particular, the first moment equation is found to be similar to the well-known equati on of the conservation of the Burgers vector in the continuous theory of dislocations. Some general features of the system are discussed and a one-dimensional example is used for calculating the dislocation dra g coefficient in dynamically loaded media.