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On finite anti-plane shear for imcompressible elastic materials

Published online by Cambridge University Press:  17 February 2009

James K. Knowles
James K. Knowles
Affiliation:
Division of Engineering and Applied Science, California Institute of Technology, Pasadena, California, U.S.A.
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Abstract

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This paper is concerned with deformations corresponding to antiplane shear in finite elastostatics. The principal result is a necessary and sufficient condition for a homogeneous, isotropic, incompressible material to admit nontrivial states of anti-plane shear. The condition is given in terms of the strain energy density characteristic of the material and is illustrated by means of special examples.

Type
Research Article
Information
The ANZIAM Journal , Volume 19 , Issue 4 , December 1976 , pp. 400 - 415
Copyright
Copyright © Australian Mathematical Society 1976

References

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