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

Zhaoyu Jin, Xin Wang
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引用次数: 16

Abstract

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)
有限厚板半椭圆裂纹的点荷载权重函数
本文应用权函数法计算了有限厚度板在任意二维应力场作用下的表面半椭圆裂纹的应力强度因子。利用文献中关于二维平面裂纹的几个特定权函数的知识和权函数的一般性质,提出了一种新的点荷载权函数的一般数学形式。权函数广义形式的存在简化了对特定裂纹构型的权函数的确定。具体权函数的确定可简化为广义权函数表达式参数的确定。这些未知参数可由参考应力强度因子解确定。用该方法推导了有限厚度板中半椭圆表面裂纹的权函数。然后根据几种线性和非线性二维应力分布的应力强度因子解验证了导出的权重函数。导出的权函数对于受波动非线性应力场影响的平面表面裂纹的疲劳裂纹扩展分析特别有用,这些应力场是由表面处理(喷丸)、应力集中或焊接(残余应力)引起的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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