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On Ericksen’s Theorem for Unconstrained Hyperelastic Materials

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Abstract

After reviewing the proof of Ericksen’s theorem for the set of unconstrained, homogeneous, isotropic, hyperelastic materials, Ericksen’s result is sharpened to cover the subset of materials that possess a natural configuration and satisfy the empirical inequalities.

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Authors and Affiliations

  1. Departments of Mechanical Engineering and Bioengineering, University of California, Berkeley, CA, 94720, U.S.A.

    J. Casey

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  1. J. Casey
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Correspondence to J. Casey.

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Mathematics Subject Classifications (2000)

74B20.

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Casey, J. On Ericksen’s Theorem for Unconstrained Hyperelastic Materials. J Elasticity 76, 191–197 (2004). https://doi.org/10.1007/s10659-005-0930-0

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  • DOI: https://doi.org/10.1007/s10659-005-0930-0

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