Hyperelastic bodies under homogeneous Cauchy stress induced by non-homogeneous finite deformations

Mihai, L. Angela ORCID: https://orcid.org/0000-0003-0863-3729 and Neff, Patrizio 2017. Hyperelastic bodies under homogeneous Cauchy stress induced by non-homogeneous finite deformations. International Journal of Non-Linear Mechanics 89 , pp. 93-100. 10.1016/j.ijnonlinmec.2016.12.003

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Abstract

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

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Uncontrolled Keywords:	Nonlinear elasticity; Invertible stress–strain law; Non-homogeneous deformations; Rank-one connectivity; Loss of ellipticity
Additional Information:	This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
Publisher:	Elsevier
ISSN:	0020-7462
Date of First Compliant Deposit:	6 December 2016
Date of Acceptance:	6 December 2016
Last Modified:	05 May 2023 07:09
URI:	https://orca.cardiff.ac.uk/id/eprint/96646

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