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

Dominique Blanchard; Georges Griso

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arXiv · 1107.5283

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

Dominique Blanchard·Georges Griso

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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-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.

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Dominique Blanchard, Georges Griso. 2011-07-26. Asymptotic behavior of a structure made by a plate and a straight rod. https://arxiv.org/abs/1107.5283

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