A GENERAL TREATMENT OF THE ELASTIC FIELD OF AN ELLIPTIC INHOMOGENEITY UNDER ANTIPLANE SHEAR

被引:49
作者
GONG, SX
MEGUID, SA
机构
[1] Engineering Mechanics and Design Laboratory, Department of Mechanical Engineering, University of Toronto, Toronto, ON
来源
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME | 1992年 / 59卷 / 02期
关键词
D O I
10.1115/1.2899477
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
A general solution to the antiplane problem of an elliptical inhomogeneity in an isotropic elastic medium is provided. The proposed analysis is based upon the use of conformal mapping and Laurent series expansion of the corresponding complex potentials. The general expressions of the complex potentials are derived explicitly in both the elliptical inhomogeneity and the surrounding matrix. Several specific solutions are provided in closed form which are verified by comparison with existing ones. The effect of material and geometrical parameters upon the change of the elastic energy, due to the presence of an elliptical inhomogeneity, has also been considered.
引用
收藏
页码:S131 / S135
页数:5
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