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On the generation of conservation laws in viscoelasticity

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Summary

On the basis of a general approach to conservation laws in linear viscoelasticity, the direct method is re-examined and applied to the Laplace transform of the displacement field. As a result, an unexpected conservation law of energy is shown to hold thus providing a prominent example of nonlinear conserved density.

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Author notes

  1. G. Caviglia

    Present address: Department of Mathematics, Via Alberti 4, I-16132, Genova, Italy

  2. A. Morro

    Present address: Biophysical and Electronic Engng. Dept., Via Causa 13, I-16145, Genova, Italy

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    1. G. Caviglia
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    2. A. Morro
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    Caviglia, G., Morro, A. On the generation of conservation laws in viscoelasticity. Acta Mechanica 81, 91–95 (1990). https://doi.org/10.1007/BF01174558

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    • DOI: https://doi.org/10.1007/BF01174558

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