Straight rod with different order of thickness.

Abstract

En este artículo se consideran barras con grosor variable. El objetivo principal es estudiar el comportamiento de estas barras en el marco de la elasticidad lineal.

In this paper, we consider rods whose thickness vary linearly between ε and ε^2. Our aim is to study the asymptotic behavior of these rods in the framework of the linear elasticity. Using a decomposition method of the displacement fields we establish a priori estimates. Passing to the limit in a fixed domain gives the problems satisfied by the bending, the stretching and the torsion limit fields which are ordinary differential equations depending on weights.