Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
803742 | Mechanics Research Communications | 2006 | 10 Pages |
Abstract
The problem of long-wave low-frequency extensional (symmetric) motion in a layer composed of incompressible, transversely isotropic elastic material is investigated. Motivated by appropriate approximations of the dispersion relation, a hierarchy of asymptotically approximate boundary value problems is set up and solved. A leading order system of equations is obtained for the governing extensions, together with a refined system for their second order counterparts. A one-dimensional model problem, involving impact edge loading, is set up and solved in order to illustrate the derived theory.
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Authors
Leonid Yu. Kossovich, Rinat R. Moukhomodiarov, Graham A. Rogerson,