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