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Approximate modeling of wave processes in elastoplastic solids

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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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  1. Institute of Applied Mechanics, Russian Academy of Sciences, 32a Lenin Avenue, GSP-1, 119991, Moscow, Russia

    N. N. Myagkov

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  1. N. N. Myagkov
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Correspondence to N. N. Myagkov.

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Myagkov, N.N. Approximate modeling of wave processes in elastoplastic solids. Acta Mech 223, 2379–2392 (2012). https://doi.org/10.1007/s00707-012-0715-z

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  • DOI: https://doi.org/10.1007/s00707-012-0715-z

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