振荡应力奇异性及其强度系数的数值分析方法

A Numerical Method for Determination of Oscillatory Stress Singularities and Corresponding Stress Intensity Coefficients

本文以具有振荡应力奇异性的平面问题为例,提出了一种利用普通的数值分析结果(由有限元或边界元程序计算得到的应力分量或位移分量),来确定奇异点附近的振荡应力奇异性次数以及相应的复应力强度系数的数值分析方法。为了验证该方法的有效性,应用平面应变情况下的边界元计算结果,对界面端模型进行了分析。计算结果表明,本方法可以精确地求得振荡应力奇异性次数,并且与奇异性对应的复应力强度系数也可以很方便地应用外插法得到。

This paper proposed a numerical method to determine the oscillatory stress singularities and the related stress intensity coefficients, by use of common numerical solutions (stresses or displacements) which obtained by an ordinary numerical technique such as finite element method or boundary element method. To verify the efficiency of the present method, an interface edge model of bonded dissimilar materials under the plane strain state is analyzed by boundary element method, and the orders of the stress singularities and the related intensity coefficients are examined numerically. The results show that all the orders of the stress singularities at the interface edge can be determined precisely, and the related stress intenisity coefficients can also be determined by extrapolation method.