多重应力奇异性及其强度系数的数值分析方法

以具有两个应力奇异性次数的平面问题为例，提出了一种利用普通的数值分析结果确定奇异点附近多重应力奇异性的各阶次数以及相应的应力强度系数的数值分析方法，计算实例表明，本方法可以精确地求得各阶应力奇异性的次数，并且可以很方便地应用外插法确定出对应的应力强度系数。

A numerical method for determination of multiple stress singularities and corresponding stress intensity coefficients

A numerical method for determination of multiple stress singularity orders and corresponding stress intensity coefficients is presented in this paper, by the example of plane problems with two stress singularity orders, based on the numerical solutions obtained by common numerical procedures such as FEM and BEM. A particular model of bonded dissimilar materials with interface edges in the plane strain problem is analyzed by BEM to verify the efficiency of this method. The numerical results show that all of the stress singularity orders at an interface edge can be determined precisely by this method. It is also found that there is a good linearity for the extrapolation method to determine the corresponding stress intensity coefficients.