Published December 1989
| public
Journal Article
Equilibrium shocks in plane deformations of incompressible elastic materials
- Creators
- Abeyaratne, Rohan
- Knowles, James K.
Chicago
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Abstract
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.
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.Additional details
- Eprint ID
- 51119
- DOI
- 10.1007/BF00041104
- Resolver ID
- CaltechAUTHORS:20141031-104535753
- Office of Naval Research (ONR)
- N00014-87-K-0017
- Created
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2014-10-31Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field