Conservation laws in anisotropic elastostatics
type: Item
instance of: scholarly article
title: Conservation laws in anisotropic elastostatics
zbMATH Open document ID: 0634.73007
DOI: 10.1016/0020-7225(88)90118-8
author: Giacomo Caviglia
author: Angelo Morro
published in: International Journal of Engineering Science
publication date: 1988-01-01T00:00:00Z
review text: The linear theory of anisotropic elastostatics is considered with the purpose of establishing a complete set of generators of conservation laws. The approach follows the lines of Noether's theorem but involves the more general notion of invariance up to a divergence term. The symmetry transformations are allowed to depend on the position, the displacement, and also on the displacement gradient. It is found that any conservation law in anisotropic elastostatics is determined by a linear combination of sixteen independent generators which are given explicitly.
Mathematics Subject Classification ID: 74E10
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 35L65
zbMATH DE Number: 4033194
zbMATH Keywords: elastostatics
zbMATH Keywords: complete set of generators
zbMATH Keywords: conservation laws
zbMATH Keywords: Noether's theorem
zbMATH Keywords: invariance
zbMATH Keywords: symmetry transformations
zbMATH Keywords: linear combination of sixteen independent generators
MaRDI profile type: Publication
full work available at URL: 0020-7225(88)90118-8
OpenAlex ID: W1983871087
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description: scientific article; zbMATH DE number 4033194