两非均匀半平面粘结的非均匀平面的裂纹问题*
Crack Problem for an Inhomogeneous Plane Bonded by Two Different Inhomogeneous Half-Planes
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摘要: 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.Abstract: In this paper the crack problem for two bonded inhomogeneous half-planes is considered. It is assumed that the different materials have the same Poisson ratio v, but generally speaking, both Young's moduli vary exponentially with the coordinate x in different form. Using the 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.
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Key words:
- inhomogeneous plane /
- crack problem /
- singular integral equation
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[1] Delate,F.and F.Erdogan,The crack problem for a non-homogeneous plane,Lehigh University,Bethlehem,Pa.,June(1982). [2] Erdogan,F.,Mixed boundary value problem,Mechanics Today,S.Nemat-Nasser,Ed.,4(1978).
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