The elastic torus: anomalous stiffness of shells with mixed typeLe tore élastique : raideur anormale des coques de type mixte |
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| Authors: | Basile Audoly Yves Pomeau |
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| Institution: | 1. Laboratoire de modélisation en mécanique, UMR 7607 du CNRS Université Pierre et Marie Curie, 4, place Jussieu, 75252 Paris cedex 05, France;2. Laboratoire de physique statistique, UMR 8550 du CNRS, École normale supérieure, 24, rue Lhomond, 75231 Paris cedex 05, France |
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| Abstract: | We investigate the deformation of a thin elastic torus under axisymmetric surface loads. The strain concentrates near the top and bottom parallels and the inner and outer halves essentially undergo rigid-body translations in opposite directions. An analysis of the inner boundary layers is presented, which allows one to compute the effective stiffness of the torus for this loading. This stiffness is found anomalous compared to classical shells. These mechanical properties are interpreted using purely geometrical arguments. To cite this article: B. Audoly, Y. Pomeau, C. R. Mecanique 330 (2002) 425–432. |
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| Keywords: | solids and structures elastic shells boundary layers solides et structures coques élastiques couches limite |
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