Analysis of a crack emanating from a circular hole in an infinite plane subjected to maxwell stress

被引：0

作者：

Omatsu, Norio ^{[1
]}

Hasebe, Norio ^{[1
]}

Wang, Xianfeng ^{[1
]}

机构：

[1] Department of Civil Engineering, Nagoya Institute of Technology, Nagoya-shi, Aichi 466-8555, Gokiso-cho, Showa-ku

来源：

Nippon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A | 2003年 / 69卷 / 05期

关键词：

Electromagnetic Force; Magnetic Fields; Maxwell Stress; Rational Mapping Function; Stress Boundary Value Problem; Stress Intensity Factor;

D O I：

10.1299/kikaia.69.888

中图分类号：

学科分类号：

摘要：

A stress boundary value problem of a crack emanating from a circular hole in an infinite plane subjected to a constant magnetic field is studied. The infinite region with the cracked hole is mapped to the exterior of the unit circle by using a rational mapping function technique. Both paramagnetic and soft ferromagnetic materials are considered. Complex magnetic potential and stress functions are obtained using Cauchy integrals. The magnetic intensity and stress distribution are shown. The stress intensity factors of the crack tip for any arbitrary directions of the magnetic field can be calculated using the results of zero and forty-five degrees. It is noted that analysis on an arbitrary shape can be obtained by changing the coefficients in the mapping function.

引用

页码：888 / 893

页数：5

共 10 条

[1]

Brown W.F., Magnetoelastic Interactions, (1966)

[2]

Eringen A.C., Maugin G.A., Electrodynamics of Continua I Foundations and Solid Media, (1990)

[3]

Paria G., Magneto-elasticity and magnet-thermo-elasticity, Advances in Applied Mechanics, 10, pp. 73-112, (1967)

[4]

Xu J.X., Hasebe N., International Journal of Fracture, 73, pp. 287-300, (1995)

[5]

Hasebe N., Wang X.F., Materials Science Research International, Special Technical Publication, 1, pp. 163-168, (2001)

[6]

Muskhelishvili N.I., Some Basic Problems of Mathematical Theory of Elasticity, Fourth Edition, (1963)

[7]

Hasebe N., Chen Y.Z., International Journal of Fracture, 77, pp. 351-366, (1996)

[8]

Hasebe N., Irikura H., Nakamura T., Journal of Applied Mechanics, ASME, 58, pp. 996-1000, (1991)

[9]

Hasebe N., Ueda M., Engineering Fracture Mechanics, 13, pp. 913-923, (1980)

[10]

Hasebe N., Inohara S., Ingenieur-Archiv, 49, 1, pp. 51-62, (1980)

← 1 →