ASYMPTOTIC APPROXIMATION FOR THE WEIGHT FUNCTION IN A SOLID WITH A SURFACE-BREAKING CRACK AND SMALL VOIDS

被引：0
|
作者：
Nieves, M. J. [1 ]
Movchan, A. B. [2 ]
Jones, I. S. [1 ]
机构：
[1] Liverpool John Moores Univ, Sch Engn, Liverpool L3 3AF, Merseyside, England
[2] Univ Liverpool, Dept Math Sci, Liverpool L69 3BX, Merseyside, England
来源：
MULTISCALE MODELING & SIMULATION | 2011年 / 9卷 / 04期
基金：
英国工程与自然科学研究理事会;
关键词：
weight function method; singular perturbation; asymptotic approximation; stress intensity factor;
D O I：
10.1137/110822554
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We derive an asymptotic approximation for the weight function in an edge-cracked half-plane containing multiple holes. Simplified asymptotic formulas are also presented for the case when the weight function is evaluated along the face of the crack, and we show how this formula can be used to obtain asymptotics of Mode I stress intensity factors. Numerical experiments are given, which illustrate the effect of the perturbation of the weight function and stress intensity factor due to the presence of voids.
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页码：1444 / 1458
页数：15
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