Asymptotic Behavior of a Structure Made by a Plate and a Straight Rod

作     者：Dominique BLANCHARD Georges GRISO 

作者机构：Universit de RouenFrance Laboratoire J.-L. Lions-CNRS Boite courrier 187 Universit Pierre et Marie Curie 4 Place Jussieu 75005 Paris France 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2013年第34卷第3期

页      面：399-434页

核心收录：

学科分类：08[工学] 0701[理学-数学] 080102[工学-固体力学] 0801[工学-力学（可授工学、理学学位）] 

主　　题：弹性薄板 渐近行为 直杆 结构 线性模型 非线性 连续性 交界处 

摘      要：This paper is devoted to describing the asymptotic behavior of a structure made by a thin plate and a thin perpendicular rod in the framework of nonlinear elasticity. The authors scale the applied forces in such a way that the level of the total elastic energy leads to the Von-Krmn 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.