Dissipative processes in crystals with dislocations

It is known that plastic deformations of monocrystals are determined by the presence of dislocations in them. In solids the density of dislocations is usually rather high: 10G-108 cm -2. Therefore, if deviations of crystal deformation from the average value between dislocations are not taken into consideration, it is convenient to use the model of continuously distributed dislocations. In [I, 2] a transition to such a model was carried out by averaging the equations of linear theory of elasticity, in which single dislocations were considered. In that case the flows of linear defects remained undetermined. We believe that it is interesting to consider the given problem in terms of the general system of continuum mechanics equations and the concepts of thermod}mamics of irreversible processes. First we consider the quantities which will help us to describe continuum deformation.