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Conditions necessaires de faible fermeture et de 1-rang convexite en dimension 3

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Résumé

Nous donnons pour des ensembles intervenant en élasticité non linéaire tridimensionnelle, des conditions nécessaires de faible fermeture et de 1-rang convexité. Nous déduisons de ces résultats des conditions nécessaires de 1-rang convexité pour des fonctions isotropiques régulières.

Abstract

We give necessary conditions for weak closure and rank one convexity of sets of constraints arising in tridimensional non linear elasticity. Then we deduce necessary conditions for rank one convexity of isotropic, regular functions.

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Bibliographie

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Authors and Affiliations

  1. Départment Informatique, I.U.T. de Nice, 41 bd Napoléon 3, 06041, Nice, France

    G. Aubert & R. Tahraoui

  2. Bt. de Mathématiques, Université Paris Sud, 91405, Orsay

    G. Aubert & R. Tahraoui

  3. U.E.R. de Mathématiques, Université de Picardie, 33, rue St Leu, 80039, Amiens, France

    G. Aubert & R. Tahraoui

Authors
  1. G. Aubert
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  2. R. Tahraoui
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Aubert, G., Tahraoui, R. Conditions necessaires de faible fermeture et de 1-rang convexite en dimension 3. Rend. Circ. Mat. Palermo 34, 460–488 (1985). https://doi.org/10.1007/BF02844538

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  • DOI: https://doi.org/10.1007/BF02844538

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