一类垂直于正交异性双材料界面的Ⅱ裂纹尖端应力场的理论研究

A Theory about a Class of Ⅱ Crack Tip Stress Field Perpendicular to Orthotropic Bimaterial Interface

利用傅里叶积分变换对正交异性材料中含有一个与材料界面垂直的裂纹尖端应力场问题进行了理论研究,得出裂纹尖端问题的位移、应力场的形式解.引入辅助函数并利用相应的边界条件,将问题转化为含有Cauchy核的第一类奇异积分方程,并给出了求解的具体方法.

The problem of a crack perpendicular to the interface between two different orthotropic composite materials is investigated.By using Fourier integral transform,the displacement and the solution of stress field form crack tip are given.By introducing auxiliary function and using the corresponding boundary conditions,the problem is transformed into the first category containing Cauchy nucleon singular integral equation;and the specific method is given.