Maxwellの応力を受ける無限板中の円孔から発生したクラックの解析

概要

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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.
一般社団法人日本機械学会の論文
2003-05-25