Crack problems in magnetoelectroelastic solids. Part I: exact solution of a crack

被引：196

作者：

Gao, CF ^{[1
]}

Kessler, H ^{[1
]}

Balke, H ^{[1
]}

机构：

[1] Dresden Univ Technol, Inst Solid Mech, D-01062 Dresden, Germany

来源：

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE | 2003年 / 41卷 / 09期

关键词：

magnetoelectroelastic solid; hole; crack; exact solution;

D O I：

10.1016/S0020-7225(02)00323-3

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper presents an exact treatment on the problem of an elliptic hole or a crack in a magnetoelectroelastic solid subject to the farfield loadings. First, based on the extended version of Eshelby-Stroh's formulation, the general solution of an elliptical hole is obtained according to exact boundary conditions at the rim of the hole. Then, when the hole degenerates into a crack, explicit solutions are given for the field intensity factors and electric-magnetic fields inside the crack. It is shown that all the singularities of fields are dependent on the applied mechanical loads, not on the applied electric-magnetic loads. Due to its explicitness, the present solution for a crack can also serve as a benchmark to test the validity of various analysis approaches or assumptions to more complicated crack problems in magnetoelectroelastic media. (C) 2003 Elsevier Science Ltd. All rights reserved.

引用

页码：969 / 981

页数：13

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