Abstract This paper presents the application of the weight function method for calculating the stress intensity factors for high aspect ratio semi-elliptical surface cracks in finite thickness plate subjected to arbitrary two-dimensional stress fields. Based on the formulation initially proposed by Wang and Glinka (2009), an extended 2D weight function for surface cracks with aspect ratio 1.0≤a/c≤8.0 is developed. The unknown coefficients in the formulation can be determined from reference stress intensity factors which are obtained by finite element analysis with the J-integral method. The effectiveness of the proposed weight functions have been verified by comparing the stress intensity factors available in the literatures and those obtained from FEM for several linear and nonlinear two-dimensional stress distributions, indicating a good accuracy. The present results complement the application range of 2D weight functions for low-aspect-ratio cracks, 0.0

中文翻译：

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有限厚度板高纵横比半椭圆表面裂纹应力强度因子的二维权函数

摘要 本文介绍了权函数法在任意二维应力场作用下有限厚度板高纵横比半椭圆表面裂纹应力强度因子计算中的应用。基于 Wang 和 Glinka (2009) 最初提出的公式，开发了一个扩展的二维权重函数，用于长宽比为 1.0≤a/c≤8.0 的表面裂纹。公式中的未知系数可以从参考应力强度因子确定，这些因子通过 J 积分法进行有限元分析。通过比较文献中可用的应力强度因子和从有限元法获得的几个线性和非线性二维应力分布的应力强度因子，验证了所提出的权重函数的有效性，表明准确度很好。目前的结果补充了 2D 权重函数对低纵横比裂纹的应用范围，0.0