KORN INEQUALITIES ON THIN PERIODIC STRUCTURES

被引：1

作者：

Zhikov, V. V. ^{[1
]}

Pastukhova, S. E. ^{[2
]}

机构：

[1] Vladimir State Pedagog Univ, Vladimir, Russia

[2] Tech Univ, Moscow State Inst Radioengn Elect & Automat, Moscow, Russia

来源：

NETWORKS AND HETEROGENEOUS MEDIA | 2009年 / 4卷 / 01期

关键词：

Dimension theory; Poincare recurrences; multifractal analysis; HOMOGENIZATION;

D O I：

10.3934/nhm.2009.4.153

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove Korn-type inequalities for thin periodic structures of period epsilon and thicness epsilon h(epsilon), where h(epsilon)-> 0 as epsilon -> 0, among which there are plane grids, spatial rod and box structures. These inequalities are important in homogenization of corresponding elasticity problems.

引用

页码：153 / 175

页数：23

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