ASYMPTOTIC ANALYSIS OF SHELLS VIA г-CONVERGENCE

作     者：Karine Genevey (Laboratoire D’Analyse Numerique, Tour 55, Universite Pierre et Marie Curie, 4 place Jussieu, 75005 Paris, France) 

作者机构：Universite Pierre et Marie Curie 法国 Paris 75005 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：2000年第18卷第4期

页      面：337-352页

核心收录：

学科分类：08[工学] 080104[工学-工程力学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：Human Capital and Mobility Program 'Shells: Mathematical Modeling and Analysis  Scientific Computing" of the Coxnmission of the 

主　　题：г-converges linear elastic shell 

摘      要：We give a new justification of the linear membrane and flexural shell models. We prove that the sequence of scaled energy functionals associated with the scaled problem r-converges to the energy functional associated with a two-dimensional model. This two-dimensional model is a membrane or flexural one, depending on the geometric and kinematic conditions. Then, a classical argument allows to give a new proof of the convergence theorems recently obtained by P.G. Ciarlet, V. Lods and B. Miara.