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Conservation laws in elasticity. III. Planar linear anisotropic elastostatics

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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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Authors and Affiliations

  1. School of Mathematics, University of Minnesota, Minneapolis

    Peter J. Olver

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  1. Peter J. Olver
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Communicated by C. Dafermos

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Olver, P.J. Conservation laws in elasticity. III. Planar linear anisotropic elastostatics. Arch. Rational Mech. Anal. 102, 167–181 (1988). https://doi.org/10.1007/BF00251497

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  • DOI: https://doi.org/10.1007/BF00251497

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