Abstract

The single- and multi-wave processes in the elastoplastic solids are modeled based on the approximate approach proposed. We consider one- and two-dimensional problems on propagation of the longitudinal waves arising at normal impact on the boundary of an isotropic half-space, the problem of shock-wave reflection from a free surface of a plate and the problems on two-dimensional fracture of a plate, produced by a cylindrical impactor. The proposed approach allows one to simplify considerably the analysis of these and others similar problems taking into account the elastoplastic behavior of the solid.

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