• Corpus ID: 119136120

Again anti-plane shear

@article{Voss2018AgainAS,
  title={Again anti-plane shear},
  author={Jendrik Voss and Herbert Baaser and Robert J. Martin and Patrizio Neff},
  journal={arXiv: Analysis of PDEs},
  year={2018}
}
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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