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Published December 1989 | public
Journal Article

Equilibrium shocks in plane deformations of incompressible elastic materials

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

Created:
August 19, 2023
Modified:
October 18, 2023