具有非平面顶面的板的渐近特性

IF 2.1 1区数学 Q1 MATHEMATICS

Journal de Mathematiques Pures et Appliquees Pub Date : 2023-12-06 DOI:10.1016/j.matpur.2023.12.004

G. Griso

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引用次数: 0

摘要

本文研究了线弹性框架下具有非平面顶面的板的渐近行为。对于这个板，我们给出位移的分解。我们表明，板的每一个位移是基希霍夫-洛夫位移和残余位移的总和，考虑到板的纤维变形和剪切。我们还证明了Korn的类型不等式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Asymptotic behavior of a plate with a non-planar top surface

In this paper, we study the asymptotic behaviors of a plate with non-planar top surface in the framework of linear elasticity. For this plate, we give a decomposition of the displacements. We show that every displacement of the plate is the sum of a Kirchhoff-Love displacement and a residual displacement that takes into account the deformations of the fibers of the plate and shear. We also prove Korn's type inequalities.

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来源期刊

Journal de Mathematiques Pures et Appliquees 数学-数学

CiteScore

4.30

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： Published from 1836 by the leading French mathematicians, the Journal des Mathématiques Pures et Appliquées is the second oldest international mathematical journal in the world. It was founded by Joseph Liouville and published continuously by leading French Mathematicians - among the latest: Jean Leray, Jacques-Louis Lions, Paul Malliavin and presently Pierre-Louis Lions.