More on Anti-plane Shear

Jendrik Voss (), Herbert Baaser (), Robert J. Martin () and Patrizio Neff ()
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Jendrik Voss: University of Duisburg-Essen
Herbert Baaser: University of Applied Sciences Bingen
Robert J. Martin: University of Duisburg-Essen
Patrizio Neff: University of Duisburg-Essen

Journal of Optimization Theory and Applications, 2020, vol. 184, issue 1, No 12, 226-249

Abstract: Abstract We reconsider anti-plane shear deformations 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: Isotropic nonlinear elasticity; Constitutive inequalities; Convexity; Constitutive law; Anti-plane shear deformations; Ellipticity; Empirical inequalities; 74B20; 74A20; 74A10 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s10957-018-1358-6

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