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On the relation between polyconvexity and rank-one convexity in nonlinear elasticity

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Abstract

For elastic stored energy functions we examine some of the implications of polyconvexity and rank-one convexity, as well as the connection between the two conditions in the presence of certain additional restrictions.

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Authors and Affiliations

  1. Department of Theoretical and Applied Mechanics, Cornell University, 14853-1503, Ithaca, NY, USA

    Phoebus Rosakis

  2. Department of Mathematics, University of Tennessee, 37996-1300, Knoxville, TN, USA

    Henry C. Simpson

Authors
  1. Phoebus Rosakis
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  2. Henry C. Simpson
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Rosakis, P., Simpson, H.C. On the relation between polyconvexity and rank-one convexity in nonlinear elasticity. J Elasticity 37, 113–137 (1994). https://doi.org/10.1007/BF00040941

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  • DOI: https://doi.org/10.1007/BF00040941

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