垂直于双材料界面的Ⅰ型裂纹尖端理论研究

Study on a Mode-Ⅰ Crack Perpendicular to the Interface between Two Different Materials

对正交各向异性双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.通过傅里叶积分变换给出了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 in this paper.The displacement and the solution of stress field form crack tip are given by using Fourier integral transform.By introducing auxiliary function and using the corresponding boundary conditions,the problem is transformed into the first category containing Cauchy nuclear singular integral equation and the specific method is given.