On finite anti-plane shear for imcompressible elastic materials

Author:

Knowles James K.

Abstract

AbstractThis 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.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics

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