In this work, the stress intensity factors (SIFs) for a wide range of semi-elliptical surface cracks with different inclination angles in a cylindrical bar subjected to pure tension were investigated numerically. The main parameters considered to evaluate the SIFs were the crack size ratio \((a\big / d)\), the crack aspect ratio \((a\big /c)\), and the crack inclination angle \((\theta )\). The dual-boundary element method implemented in software BEASY was used to compute the SIF values for cracks. Furthermore, the general closed-form solutions were proposed to evaluate the corresponding SIFs for Mode I, Mode II and Mode III types of fracture through curve fitting approaches. These solutions can provide accurate and reliable values of stress intensity factors for a crack on a cylindrical bar under pure tension in a rapid way compared to those obtained using computational models. In addition, these results can be used as inputs for failure studies and life evaluations of cracked cylinder under working conditions.

在这项工作中，数值研究了在承受纯拉伸的圆柱杆中具有不同倾角的大范围半椭圆表面裂纹的应力强度因子（SIF）。评估 SIF 的主要参数是裂纹尺寸比\((a\big / d)\)、裂纹纵横比\((a\big /c)\)和裂纹倾角\((\ θ )\). 在 BEASY 软件中实现的双边界元方法用于计算裂缝的 SIF 值。此外，提出了通用封闭形式的解决方案，通过曲线拟合方法评估模式 I、模式 II 和模式 III 类型的裂缝的相应 SIF。与使用计算模型获得的结果相比，这些解决方案可以以快速的方式为圆柱杆上的裂纹提供准确可靠的应力强度因子值。此外，这些结果可用作工作条件下破裂气缸的失效研究和寿命评估的输入。