English

Again anti-plane shear

Analysis of PDEs 2018-03-02 v1

Abstract

We reconsider anti-plane shear deformations of the form φ(x)=(x1,x2,x3+u(x1,x2))\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.

Keywords

Cite

@article{arxiv.1803.00265,
  title  = {Again anti-plane shear},
  author = {Jendrik Voss and Herbert Baaser and Robert J. Martin and Patrizio Neff},
  journal= {arXiv preprint arXiv:1803.00265},
  year   = {2018}
}
R2 v1 2026-06-23T00:37:50.778Z