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Point Load Weight Functions for Semi-Elliptical Cracks in Finite Thickness Plate

机译：有限厚度板中半椭圆形裂纹的点载荷权重函数

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摘要

This paper presents the application of the weight function method for the calculation of stress intensity factors for surface semi-elliptical cracks in finite thickness plates subjected to arbitrary two-dimensional stress fields. A new general mathematical form of point load weight function has been formulated by taking advantage of the knowledge of a few specific weight functions for two-dimensional planar cracks available in the literature and certain properties of the weight function in general. The existence of the generalized form of the weight function simplifies the determination of a specific weight function for specific crack configurations. The determination of a specific weight function is reduced to the determination of the parameters of the generalized weight function expression. These unknown parameters can be determined from reference stress intensity factor solutions. This method is used to derive the weight functions for semi-elliptical surface cracks in finite thickness plates. The derived weight functions are then validated against stress intensity factor solutions for several linear and non-linear two-dimensional stress distributions. The derived weight functions are particularly useful for the fatigue crack growth analysis of planar surface cracks subjected to fluctuating nonlinear stress fields resulting from surface treatment (shot peening), stress concentration, or welding (residual stress)
机译：本文提出了权函数法在计算任意二维应力场下有限厚度板表面半椭圆形裂纹的应力强度因子中的应用。通过利用文献中可获得的二维平面裂纹的一些特定的权重函数的知识以及一般的权重函数的某些特性，已经制定了点载荷权函数的新的通用数学形式。权函数的广义形式的存在简化了针对特定裂缝构造的特定权函数的确定。比权函数的确定被简化为广义权函数表达式的参数的确定。这些未知参数可以从参考应力强度因子解中确定。该方法用于导出有限厚度板中半椭圆形表面裂纹的权重函数。然后针对几种线性和非线性二维应力分布，针对应力强度因子解验证导出的权重函数。导出的权重函数对于受表面处理（喷丸处理），应力集中或焊接（残余应力）引起的波动非线性应力场的平面裂纹的疲劳裂纹扩展分析特别有用。

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