Conservation laws in elasticity. II: Linear homogeneous isotropic elastostatics
type: Item
instance of: scholarly article
title: Conservation laws in elasticity. II: Linear homogeneous isotropic elastostatics
zbMATH Open document ID: 0582.73024
DOI: 10.1007/BF00281448
author: Peter J. Olver
published in: Archive for Rational Mechanics and Analysis
publication date: 1984-01-01T00:00:00Z
review text: In this paper, the author applies the general version of Noether's theorem and results obtained by the author in part I [ibid. 85, 111--129 (1984; Zbl 0559.73019)], to the equations of linear homogeneous isotropic elastostatics in both two and three dimensions. In this way, several new conservation laws are obtained. The results should be of considerable interest to workers in linear elasticity and fracture mechanics.
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74A99
Mathematics Subject Classification ID: 35Q74
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 35J45
Mathematics Subject Classification ID: 35A30
zbMATH DE Number: 3932493
zbMATH Keywords: general version of Noether's theorem
zbMATH Keywords: linear homogeneous isotropic elastostatics
zbMATH Keywords: two and three dimensions
zbMATH Keywords: conservation laws
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00281448
OpenAlex ID: W3142323347
description: scientific article; zbMATH DE number 3932493