界面裂纹问题中的权函数方法

本文将Ｐａｒｉｓ等确定均匀材料中裂纹尖端应力强度因子的权函数方法推广应用到界面裂纹问题，给出了界面裂纹尖端附近或无限大体半无限界面裂纹问题的权函数的显式表达式。利用此权函数表达式可以很简便地求解界面裂纹尖端附近一些外来作用引起的应力强度因子，比如任意分布力、相变应变、位错和热等。作为一个算例，本文计算了界面一侧一个刃型位错引起的应力强度因子。

THE WEIGHT FUNCTION OF METHOD FOR DETERMINING INTERFACE CRACK TIP STRESS INTENSITY FACTORS

The method for the derivation of two-dimensional weight functions presented by Paris is developed for interface cracks. The weight functions for determining the stress intensity factors of the semi-infinite interfsce crack along the interface of a infinite bimaterials body are obtained. Using the weight functions, the stress intensity factors induced by some action near cracktip such as transformation strain, adge dislocation, heat expansion, etc. may be easily obtained. As an example, the stress intensity factors induced by an edge dislocation in one side of bimaterials interface are given.