A fine finite element model should be established in fatigue assessment of cruciform welded specimens in notch stress method, and there is no analytical or empirical notch stress formula suitable for engineering application. Based on linear elastic fracture mechanics (LEFM) and singular strength theory, this paper put forward a simple semi‐analytical formula of notch stress for commonly used cruciform joints. Considering the influence of incision types and different opening angles, the proposed formula is further extended to U‐shaped notch and other common opening angles. After a series of verification, it is found that the proposed semi‐analytical stress formula based on singular strength values can simply and accurately predict the notch stress under bending loading, which provides a simple assessment approach for fatigue assessment of cruciform welded joints in engineering.

中文翻译：

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弯曲载荷下十字形焊接接头缺口应力场的半解析公式

采用缺口应力法对十字形焊接试样进行疲劳评估时，应建立精细的有限元模型，并且没有适用于工程应用的解析或经验缺口应力公式。基于线性弹性断裂力学（LEFM）和奇异强度理论，提出了一种常用十字形接缝的缺口应力简单半解析公式。考虑到切口类型和不同的张开角度的影响，建议的公式进一步扩展到U形槽口和其他常见的张开角度。经过一系列验证，发现所提出的基于奇异强度值的半解析应力公式可以简单，准确地预测弯曲载荷下的缺口应力，