Junction between a plate and a rod of comparable thickness in nonlinear elasticity. Part II

Dominique Blanchard (1) , Georges Griso (2)

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

We analyze the asymptotic behavior of a junction problem between a plate and a perpendicular rod made of a nonlinear elastic material. The two parts of this multi-structure have small thicknesses of the same order $\delta$. We use the decomposition techniques obtained for the large deformations and the displacements in order to derive the limit energy as $\delta$ tends to $0$.

Mots clés: plate; junctions; straight rod; plate.

Domaines: Analyse numérique [math.NA]

Dominique Blanchard, Georges Griso. Junction between a plate and a rod of comparable thickness in nonlinear elasticity. Part II. 2012. ⟨hal-00677838v1⟩