Abstract
In recent years much attention has been devoted to problems of wave propagation for loading conditions which produce plastic deformation. Many dynamic boundary value problems have been solved assuming plane, cylindrical or spherical symmetry of the body and of the pressure applied to its boundary. All these problems may be treated using a one-dimensional theory. Mathematically, the governing equations form a system of hyperbolic partial differential equations of the first order in two independent variables; a good review of these equations and their possible methods of solution is given in [1] and [2].
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Bejda, J. (1969). Propagation of two-dimensional stress waves in an elastic/viscoplastic material. In: Hetényi, M., Vincenti, W.G. (eds) Applied Mechanics. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-85640-2_9
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