Asymptotic behavior of structures made of straight rods

Dominique Blanchard (1) , Georges Griso (2)

1 LMRS - Laboratoire de Mathématiques Raphaël Salem
2 LJLL - Laboratoire Jacques-Louis Lions

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 $\delta^\beta$ ($2<\beta\le 4$).

Mots clés: Nonlinear elasticity; junctions; rods

Domaines: Equations aux dérivées partielles [math.AP]

Dominique Blanchard, Georges Griso. Asymptotic behavior of structures made of straight rods. 2010. ⟨hal-00526722⟩