Necessary conditions at the boundary for minimizers in finite elasticity
type: Item
instance of: scholarly article
title: Necessary conditions at the boundary for minimizers in finite elasticity
zbMATH Open document ID: 0739.73019
DOI: 10.1007/BF00286496
author: Henry C. Simpson
author: Scott J. Spector
published in: Archive for Rational Mechanics and Analysis
publication date: 1992-06-25T00:00:00Z
review text: Pointwise algebraic conditions on the elasticity tensor are derived which are necessary for a deformation to be a local minimizer of the energy of an elastic body subjected to dead loads. In particular it is shown that the Legendre-Hadamard condition, Agmon's condition and a new condition derived by the authors are necessary conditions. It is also shown that the three aforementioned conditions are sufficient for the nonnegative of the second variation of the energy of a homogeneous deformation of a homogeneous body that has the shape of a half-ball with the deformation prescribed on the curved surface of the body.
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74P10
Mathematics Subject Classification ID: 49J40
zbMATH DE Number: 3970
zbMATH Keywords: dead loads
zbMATH Keywords: Legendre-Hadamard condition
zbMATH Keywords: Agmon's condition
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00286496
OpenAlex ID: W2061610217
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description: scientific article; zbMATH DE number 3970