Asymptotic behavior of the energy functional for a three-dimensional body with a rigid inclusion and a crack

被引：20

作者：

Rudoy, E. M. ^{[1
,2
]}

机构：

[1] Russian Acad Sci, MA Lavrentev Hydrodynam Inst, Siberian Div, Novosibirsk 630090, Russia

[2] Novosibirsk State Univ, Novosibirsk 630090, Russia

来源：

JOURNAL OF APPLIED MECHANICS AND TECHNICAL PHYSICS | 2011年 / 52卷 / 02期

关键词：

rigid inclusion; crack; derivative of the energy functional; Griffith criterion; STRESS INTENSITY FACTORS; CIRCULAR INCLUSION; ELASTIC SOLIDS; KINKED CRACKS; SENSITIVITY; EXPANSION; PATHS;

D O I：

10.1134/S0021894411020131

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A model of a three-dimensional elastic body containing a rigid inclusion and a crack located on the interface between the inclusion and the body is considered. Natural boundary conditions are imposed on the crack. A derivative of the energy functional with respect to the perturbation parameter is derived for an arbitrary, rather smooth perturbation of the domain, in particular, the Griffith formula is obtained.

引用

页码：252 / 263

页数：12

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