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The energy-momentum tensor and material uniformity in finite elasticity

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Summary

Eshelby's elastic energy-momentum tensor is shown to satisfy a differential identity which, in the general case of a uniform elastic body with inhomogeneities, is expressible in terms of the torsion of the material connection.

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References

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Author notes

  1. G. A. Maugin

    Present address: Laboratoire de Modélisation en Mécanique (URA 229), Université Pierre et Marie Curie, Tour 66, 4 Place Jussieu, 75252, Paris Cédex 05, France

  2. M. Epstein

    Present address: Department of Mechanical Engineering, University of Calgary, T2N1N4, Calgary, Alberta, Canada

Authors and Affiliations

  1. Laboratoire de Modélisation en Mécanique (URA 229), Université Pierre et Marie Curie, Tour 66, 4 Place Jussieu, 75252, Paris Cédex 05, France

    M. Epstein

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  1. M. Epstein
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  2. G. A. Maugin
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Epstein, M., Maugin, G.A. The energy-momentum tensor and material uniformity in finite elasticity. Acta Mechanica 83, 127–133 (1990). https://doi.org/10.1007/BF01172974

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  • DOI: https://doi.org/10.1007/BF01172974

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