面外せん断を受ける不均質体内部き裂の応力拡大係数の解析

概要

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This paper deals with the anti-plane shear problem for a non-homogeneous material containing a crack in it. The purpose of this paper is to obtain the fundamental data for designing the machine structure which is made of the non-homogeneous material, such as plastics, ceramics, composite materials and so on. In this paper, it is assumed that the shear modulus G of the material varies exponentially with the coordinate x perpendicular to the crack, that is, G(χ)=G_0exp(αχ). The infinite plane problem is formulated using Fourier transforms and then induced to the Fredholm type integral equation. The solution of this integral equation is expressed as a series of the Chebyshev polynomials. The effects of the parameter α, which describes the non-homogeneity of the material, on the stress intensity factor and the total displacement of the crack are shown by numerical calculations.
湘南工科大学の論文
1989-03-25