ASYMPTOTIC ANALYSIS OF SHELLS VIA Γ-CONVERGENCE

• 来源期刊: 计算数学（英文版）
• 关键词: Γ-converges linear elastic shell
• 年，卷（期）: 2000,（4）
• 页码范围: 337-352
• 页数: 16页
• 语种: 英文

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 Γ-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.