Asymptotic behavior of a structure made by a plate and a straight rod

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 asymptotic behavior of a structure made by a thin plate and a thin rod in the framework of nonlinear elasticity. We scale the applied forces in such a way that the level of the total elastic energy leads to the Von-Kármán's equations (or the linear model for smaller forces) in the plate and to a one dimensional rod-model at the limit. The junction conditions include in particular the continuity of the bending in the plate and the stretching in the rod at the junction.

Mots clés: Nonlinear elasticity; junction; plate; rod

Domaines: Equations aux dérivées partielles [math.AP]

Dominique Blanchard, Georges Griso. Asymptotic behavior of a structure made by a plate and a straight rod. 2011. ⟨hal-00611655⟩