Conservation laws in elasticity. III. Planar linear anisotropic elastostatics

Peter J Olver

doi:10.1007/BF00251497

Conservation laws in elasticity. III. Planar linear anisotropic elastostatics

Peter J Olver

School of Mathematics

Research output: Contribution to journal › Article › peer-review

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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 language	English (US)
Pages (from-to)	167-181
Number of pages	15
Journal	Archive for Rational Mechanics and Analysis
Volume	102
Issue number	2
DOIs	https://doi.org/10.1007/BF00251497
State	Published - Jun 1 1988

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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.",

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Conservation laws in elasticity. III. Planar linear anisotropic elastostatics

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