Numerical method for constructing a continual deformation model equivalent to a specified discrete element model

A class of boundary value problems of solid mechanics and mechanics of granular media is identified in which uniform strain and strain rate distributions are possible. Boundary conditions appropriate to these problems are applied for statements of numerical experiments. An affine transformation method is proposed for constructing a continual model equivalent to a specified discrete element model. An example of using the method to construct a three-dimensional model of granular media is given.