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Some remarks on Saint-Venant's principle for transversely isotropic composites

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Abstract

Recent work of the author on Saint-Venant's principle for plane deformation of an anisotropic elastic solid is used to investigate the behavior of a transversely isotropic medium, in the limit of small extensibility and compressibility. Such a model has been proposed in analysis of fiber-reinforced composites. Disagreement with Saint-Venant's principle is anticipated, confirming recent observations made by other authors in similar contexts.

Résumé

On utilise le travail récemment fait par l'auteur sur le principe de Saint-Venant dans le cas du problème plan d'un milieu élastique anisotropique, pour considerer le cas spécial d'un matériel à isotropie transversale, dans la limite de petites extensibilité et compressibilité. Un tel modèle a été proposé dans l'analyse des composites à fibers de renforcement. On s'attend à des prédictions en désaccord avec le principe de Saint-Venant, ce qui confirmerait ce que d'autres auteurs ont remarqué dans des contexts semblables.

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References

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Authors and Affiliations

  1. School of Mathematics and Physics, University of East Anglia, NOR 88C, Norwich, England

    Cornelius O. Horgan

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  1. Cornelius O. Horgan
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Horgan, C.O. Some remarks on Saint-Venant's principle for transversely isotropic composites. J Elasticity 2, 335–339 (1972). https://doi.org/10.1007/BF00045717

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  • DOI: https://doi.org/10.1007/BF00045717

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