218 articles – 190 references  [version française]
 HAL: hal-00526722, version 1
 arXiv: 1010.3614
 Asymptotic behavior of structures made of straight rods
 (2010-10-15)
 This paper is devoted to describe the deformations and the elastic energy for structures made of straight rods of thickness $2\delta$ when $\delta$ tends to 0. This analysis relies on the decomposition of the large deformation of a single rod introduced in [6] and on the extension of this technique to a multi-structure. We characterize the asymptotic behavior of the infimum of the total elastic energy as the minimum of a limit functional for an energy of order $\delta^\beta$ ($2<\beta\le 4$).
 1: Laboratoire de Mathématiques Raphaël Salem (LMRS) CNRS : UMR6085 – Université de Rouen 2: Laboratoire Jacques-Louis Lions (LJLL) CNRS : UMR7598 – Université Pierre et Marie Curie [UPMC] - Paris VI
 Subject : Mathematics/Analysis of PDEs
 Keyword(s): Nonlinear elasticity – junctions – rods
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 hal-00526722, version 1 http://hal.archives-ouvertes.fr/hal-00526722 oai:hal.archives-ouvertes.fr:hal-00526722 From: Dominique Blanchard <> Submitted on: Monday, 18 October 2010 15:28:44 Updated on: Monday, 18 October 2010 16:37:47