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Equilibrium shocks in plane deformations of incompressible elastic materials

Abeyaratne, Rohan and Knowles, James K. (1989) Equilibrium shocks in plane deformations of incompressible elastic materials. Journal of Elasticity, 22 (2-3). pp. 63-80. ISSN 0374-3535. doi:10.1007/BF00041104.

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This paper is concerned with piecewise smooth plane deformations in an isotropic, incompressible elastic material. An explicit necessary and sufficient condition for the existence of piecewise homogeneous equilibrium states is established, and the set of all such states is precisely characterized. A particularly simple expression is derived for the “driving traction” on a surface of discontinuity in the deformation gradient.

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Additional Information:© 1989 Kluwer Academic Publishers. Received 27 October 1987. The results reported here were obtained in the course of an investigation supported in part by the U.S. Office of Naval Research through Contract N00014-87-K-0017.
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Office of Naval Research (ONR)N00014-87-K-0017
Issue or Number:2-3
Record Number:CaltechAUTHORS:20141031-104535753
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:51119
Deposited By: Tony Diaz
Deposited On:31 Oct 2014 18:41
Last Modified:10 Nov 2021 19:06

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