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Asymptotic model of propagation and interaction of nonlinear longitudinal waves in elastoplastic solids.

Both single- and multi-wave processes in the shock-loaded elastoplastic solids are modeled on the basis of the proposed approximate approach. We consider one- and two-dimensional problems on propagation of the longitudinal waves, arising at normal impact on the boundary of a half-space or plate, and problems on two-dimensional fracture of a plate of finite thickness, produced by a cylindrical impactor. The approximate approach under consideration allows one to simplify considerably the analysis of these and others similar problems taking into account an elastoplastic behavior of solid.
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