Abstract: A new boundary element method for the analysis of surface crack is proposed in this paper. The advantage of the boundary integral equation derived from this model is that only the surface of the crack need to be discretized. The singularities of stress in the boundary layer of half-elliptical surface crack are solved by using the new model.

摘要： 本文拓广了表面裂纹奇异性的研究范围,文中利用Mindlin基本解,提出了一种适用于裂纹体的新型边界元模型,并采用与Williams方法[1]不同的求解途径,直接求解了半圆、半椭圆表面裂纹尖端的应力场奇异性。