New Asymptotically Sharp Korn and Korn-Like Inequalities in Thin Domains

被引：12
|
作者：
Harutyunyan, Davit [1 ]
机构：
[1] Univ Utah, Dept Math, Salt Lake City, UT 84112 USA
来源：
JOURNAL OF ELASTICITY | 2014年 / 117卷 / 01期
基金：
美国国家科学基金会;
关键词：
Korn inequality; Elasticity; Elliptic operators; Thin domains; Shells;
D O I：
10.1007/s10659-013-9466-x
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
It is well known that Korn inequality plays a central role in the theory of linear elasticity. In the present work we prove new asymptotically sharp Korn and Korn-like inequalities in thin curved domains with a non-constant thickness. This new results will be useful when studying the buckling of compressed shells, in particular when calculating the critical buckling load.
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页码：95 / 109
页数：15
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