Abstract The load-carrying cruciform welded joint usually fails in the weld root or the weld toe. Determining the failure location in terms of the stress intensity factor (SIF) of the crack at the weld root and the weld toe is an alternative. Various SIF equations have been proposed and incorporated in the British Standard (BS) 7910:2013, including the equations for the welded cruciform joint with a weld toe crack. However, the SIF equations for the weld toe crack are based on 2-D finite element (FE) analysis, which predicts an over-conservative result. In fact, a crack at the weld toe often resembles a semi-elliptical shape. Hence, it is necessary to propose new SIF equations for the load-carrying cruciform welded joint containing a weld toe crack by 3-D FE analysis. The new equations are built up based on multiple regression analysis and the goodness of fit is confirmed via error distribution and statistical analyses by comparing with the FE results. The proposed SIF equations have a wide applicability in the failure analysis of the load-carrying cruciform welded joint.

中文翻译：

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焊趾表面裂纹承载十字形焊接接头的断裂分析

摘要 承载十字形焊接接头通常在焊根或焊趾处失效。根据焊缝根部和焊趾处裂纹的应力强度因子 (SIF) 确定失效位置是一种替代方法。英国标准 (BS) 7910:2013 中已经提出并纳入了各种 SIF 方程，包括带有焊趾裂纹的焊接十字形接头的方程。然而，焊趾裂纹的 SIF 方程基于二维有限元 (FE) 分析，预测结果过于保守。事实上，焊趾处的裂纹通常类似于半椭圆形。因此，有必要通过 3-D 有限元分析为包含焊趾裂纹的承载十字形焊接接头提出新的 SIF 方程。新方程建立在多元回归分析的基础上，并通过误差分布和统计分析与有限元结果进行比较来确认拟合优度。所提出的 SIF 方程在承载十字形焊接接头的失效分析中具有广泛的适用性。