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Propagation of elastoplastic waves in thin rods
Authors:V L Popov
Abstract:The problem of the propagation of a perturbation in a thin rod is solved using the dynamic gauge theory of crystalline media with dislocations. When a shock is applied to the rod an elastic forerunner is generated with propagates with a velocity of 
$$\sqrt {E/\rho } $$
(where E is Young's modulus and rgr is the density of the medium) and, in addition, ldquounclampingrdquo of the end of the rod occurs. Depending on the parameters of the medium, this ldquounclampingrdquo may take the form of both purely viscous flow and wave flow. There is no volume elastic compression wave in the rod characteristic of an unbounded medium.Institute of Physics of the Strength and Study of Materials, Siberian Branch, Russian Academy of Sciences. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 39–42, June, 1994.
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