双材料混合型界面裂纹尖端应力场、位移场

Stress and Displacement Fields Around the Mixed Type Crack Tip at Bi-materials Interface

研究了正交异性双材料中心穿透界面裂纹问题。在特征方程组的判别式都小于零的情形下,求解一类广义重调和方程组边值问题,通过构造新的应力函数,推出了Ⅰ型、Ⅱ型、混合型界面裂纹尖端的应力场、位移场及应力强度因子的解析表达式。其结果没有振荡奇异性及裂纹面没有相互嵌入现象,当上下半平面材料参数相同时,可获得正交异性单材料的应力场、位移场。

Orthotropic bi-materials central interfacial crack was studied by constructing new stress function . When secular equations＇discriminations are less than zero, by solving a class of generalized re-harmonic equations boundary value problems, the theoretical solutions of stress fields, displacements fields, and stress intensity factor of mixedmode crack are obtained. The derived result has no oscillation and the crack edge have no overlap phenomenon. When the two parts of the plane have the same material parameters,the obtained stress and displacements field become the one of orthotropic single material.