Conservation laws in elasticity. III. Planar linear anisotropic elastostatics

Peter J Olver

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

The first order conservation laws for an arbitrary homogeneous linear planar elastic material are completely classified. In all cases, both isotropic and anisotropic, besides the standard Betti reciprocity laws, there are two infinite-dimensional families of conservation laws, each depending on an arbitrary analytic function of two complex variables.

Original languageEnglish (US)
Pages (from-to)167-181
Number of pages15
JournalArchive for Rational Mechanics and Analysis
Volume102
Issue number2
DOIs
StatePublished - Jun 1 1988

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