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arXiv · 1803.00265

Again anti-plane shear

Jendrik Voss·Herbert Baaser·Robert J. Martin·Patrizio Neff
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Abstract

We reconsider anti-plane shear deformations of the form $\varphi(x)=(x_1,\,x_2,\,x_3+u(x_1,x_2))$ based on prior work of Knowles and relate the existence of anti-plane shear deformations to fundamental constitutive concepts of elasticity theory like polyconvexity, rank-one convexity and tension-compression symmetry. In addition, we provide finite-element simulations to visualize our theoretical findings.

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Jendrik Voss, Herbert Baaser, Robert J. Martin, Patrizio Neff. 2018-03-01. Again anti-plane shear. https://arxiv.org/abs/1803.00265

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