两非均匀半平面粘结的非均匀平面的裂纹问题*

本文对两个非均匀半平面粘结的非均匀平面的裂纹问题作了分析,文中假定两种材料的泊松比v相同,但杨氏模量随坐标x按不同形式的指数函数变化.本文使用非均匀平面问题的单裂纹解及富氏变换方法, 使问题归为一个柯西型奇异积分方程,最后对应力强度因子的计算给出了若干数值例子.

Crack Problem for an Inhomogeneous Plane Bonded by Two Different Inhomogeneous Half-Planes

In this paper, the crack problem for two bonded inhomogeneous half-planes is considered. It is assumed that the different materials hare the same Poisson ratio v, but generally speaking, both Young's moduli vary exponentially with the coordinate x in different form. Using single crack solution of the inhomogeneous plane problem and Fourier transform technique,the problem is reduced to a Cauchy-type singular integral equation. Several numerical examples to calculate the stress intensity factors are carried out.