Korn's inequalities for junctions of elastic bodies with thin plates

被引：5

作者：

Nazarov, SA

机构：

[1] Institute of Problems of Mechanical Engineering, St. Petersburg

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2005年 / 46卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

weighted Korn space; junction of thin elastic bodies; multistructure;

D O I：

10.1007/s11202-005-0070-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the anisotropic Korn inequalities for an elastic junction of a massive body with thin plates clamped along parts of the lateral surfaces. The distribution of the weight factors in the norms under consideration depends essentially on the disposition of the plates, the way they are clamped to the body, and their relative rigidity (as compared with the body).

引用

页码：695 / 706

页数：12

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