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Numerical methods for the determination of multiple stress singularities and related stress intensity coefficients

机译：确定多重应力奇异性和相关应力强度系数的数值方法

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This paper proposed numerical methods to determine the multiple stress singularities (including the oscillatory stress singularities) and the related stress intensity coefficients, by the use of common numerical solutions (stresses ordisplacements) obtained by an ordinary numerical tool such as finite element method (FEM) or boundary element method (BEM). To verify the efficiency of the present methods, two models of bonded dissimilar materials under the plane strain state areanalyzed by BEM, and the orders of the stress singularities and the related stress intensity coefficients are examined numerically. The results show that all the orders of the stress singularities at an interface edge can be determined precisely by thepresent method, and the related stress intensity coefficients can he determined by the extrapolation method with a very good linearity. It is found that the methods presented in this paper are very simple and efficient. Moreover, they can be easilyextended to any singular problem.
机译：本文提出了一种数值方法，通过使用普通数值工具（例如有限元方法（FEM））获得的常见数值解（应力或位移）来确定多重应力奇点（包括振荡应力奇点）和相关的应力强度系数。或边界元法（BEM）。为了验证本方法的有效性，通过边界元法分析了两种异种材料在平面应变状态下的结合模型，并对应力奇异度的阶数和相关的应力强度系数进行了数值检验。结果表明，采用本方法可以精确确定界面边缘处的应力奇异性的所有阶数，采用外推法可以很好地确定相关应力强度系数的线性关系。发现本文提出的方法非常简单和有效。而且，它们可以很容易地扩展到任何奇异的问题。

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