有限板孔边裂纹的权函数解法

WEIGHT FUNCTION ANALYSIS FOR CRACKS AT A HOLE IN A FINITE PLATE

本文作者在文献〔1,2〕中用权函数法高效而经济地求解了无限体中孔边裂纹在任意受载条件下的应力强度因子。本文则把这一方法成功地推广到了有限体中的孔边裂纹问题。

A closed-form weight function for radial crack(s) at a circular hole in a finite plate was presented. The weight function was basel on an edge crack surface displacement expression for a polynomial type reference load condition, and therefore the approach is much more general than those in the literature. Analytical stress intensity factor formulae for polynomial and piece-wise-linear crack line stress have been derived, which permit stress intensity factors for arbitrary loadings to be determined with minimal effort. The versatility, cost-effectiveness, easy-to-use and high accuracy of the approach was demonstrated through a practical example of double cracks at a circular hole in a finite plate under biaxial tension.