HAL: hal-00526722, version 1

arXiv: 1010.3614

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Asymptotic behavior of structures made of straight rods

Dominique Blanchard 1, Georges Griso 2

(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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From: Dominique Blanchard <>

Submitted on: Monday, 18 October 2010 15:28:44

Updated on: Monday, 18 October 2010 16:37:47