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Linear stress-strain relations in nonlinear elasticity

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Summary

Nonlinear strain measures which are compatible with the existence of an elastic potential and lead to a linear stress-strain relation are obtained. An unusual property of these measures is their dependence on material parameters. Standard strain measures commonly used in nonlinear elasticity are shown to be consistent with linear stress-strain relations only for particular cases of Poisson's ratio. Corresponding potentials for these cases are presented.

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Author notes

  1. A. Chiskis & R. Parnes

    Present address: Department of Solid Mechanics, Materials and Structures, Faculty of Engineering, Tel-Aviv University, 69978, Ramat Aviv, Israel

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    1. A. Chiskis
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    2. R. Parnes
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    Chiskis, A., Parnes, R. Linear stress-strain relations in nonlinear elasticity. Acta Mechanica 146, 109–113 (2001). https://doi.org/10.1007/BF01178798

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    • DOI: https://doi.org/10.1007/BF01178798

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