分域边界元法双映射奇异元计算应力强度因子

边界单元法是一种很有效的数值计算方法,目前在很多工程领域的数值分析中都有了广泛的应用,并取得了很好的效果.用它来求解裂纹尖端的应力强度因子就是这种方法在断裂力学中非常成功而有效的应用.文中简单介绍线性单元的分域边界单元法的相关公式,并引入双映射奇异单元,分析了带单边斜裂纹的单向拉伸板的应力强度因子.计算的结果与其他解比较表明:这种方法效果很好,有较高的计算精度.

Stress intensity factor computation using the multi-regional boundary element method double-mapping singular elements

The boundary element method(BEM) is highly efficient and widely used in engineering fields,including fracture mechanics,where it can compute the stress intensity factor of a crack tip.Here,the relative formula of the linear multi-regional boundary element method is introduced and then related to the stress intensity factors of three crack types: a center crack in square plate subjected to uniform tensile stress;an interface edge crack in rectangular bimaterial plate subjected to uniform tensile stress;and a slant edge crack in rectangular plate subjected to uniform tensile stress.Comparisons of computation results indicate this method is useful and provides higher accuracy than other methods.