Solution of dynamic problems of the theory of plasticity for plane strain

Certain difficulties are encountered in obtaining exact solution to systems of equations of the theory of plasticity. This is true even for plane-strain conditions. Such solutions are usually found by making assumptions regarding the velocity field and then determining the components of the stress deviator [3-6]. If the stress field is compatible with the velocity field and satisfies the equilibrium equations, then an exact solution can be obtained [6,7]. Several exact solutions were obtained in [1]. These solutions are for the static problem, however. In wide use of impulsive methods for processing metals - forging, cutting, and bending - makes it important that dynamic problems also can be considered