Asymptotic behavior of a structure made by a plate and a straight rod
Analysis of PDEs
2011-07-27 v1
Abstract
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-K\'arm\'an'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.
Keywords
Cite
@article{arxiv.1107.5283,
title = {Asymptotic behavior of a structure made by a plate and a straight rod},
author = {Dominique Blanchard and Georges Griso},
journal= {arXiv preprint arXiv:1107.5283},
year = {2011}
}