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.
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页码：252 / 263
页数：12
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