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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1983 Number 3, Pages 80–86 (Mi vmumm3497)

Mechanics

Simple waves in a nonlinearly elastic medium

È. V. Lenskii


Abstract: The paper deals with properties of a simple waves propagating in an isotropic non-linearly elastic medium whose elastic potential is determined, by two arbitrary functions of the first and second invariants of the small strain tensor. The prestrain is arbitrary. A generalized definition of quasi-longitudinal and quasi-transverse waves is proposed involving the property of strict hyperbolicity of a system.

UDC: 539.3

Received: 03.11.1982



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