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

2011/07/26 by Dominique Blanchard, Blanchard, Dominique, Georges Griso +1
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Composite Material Mechanics #Contact Mechanics and Variational Inequalities #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1107.5283

arxiv created 2011/07/26 · openalex publication_date 2011/07/26 · arxiv updated 2011/07/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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