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Homogeneous Cauchy stress induced by non-homogeneous deformations

Schweickert, Eva, Mihai, L. Angela ORCID: and Neff, Patrizio 2018. Homogeneous Cauchy stress induced by non-homogeneous deformations. Presented at: 89th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Munich, Germany, 19-23 March 2018. Proceedings in Applied Mathematics and Mechanics (PAMM) (1) Wiley, pp. 1-2. 10.1002/pamm.201800185

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We discuss whether homogeneous Cauchy stress implies homogeneous strain in isotropic nonlinear elasticity. While for linear elasticity the positive answer is clear, we exhibit an example with inhomogeneous continuous deformation but constant Cauchy stress. The example is derived from a non rank-one convex elastic energy.

Item Type: Conference or Workshop Item (Paper)
Date Type: Publication
Status: Published
Schools: Mathematics
Publisher: Wiley
ISSN: 1617-7061
Date of Acceptance: 26 August 2018
Last Modified: 23 Oct 2022 13:48

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