Three‐dimensional diamond‐like defects with circumferential V‐shape corner fronts are often contained in engineering materials. In this paper, generalized stress intensity factors are calculated for this type of defect using a modified advanced finite element method. A super corner front element model in the global coordinates is established to capture the stress singularities along the circumferential corner front. Three‐dimensional numerical series eigen‐solutions in the element have been transformed from asymptotic expressions in the local curvilinear coordinates. The element is suitable for a sharp V‐shape corner with arbitrary opening and inclination angle. Singular stress fields near various shapes of diamond‐like defects are systematically investigated. The interaction of an embedded defect with free surface or another identical defect is also investigated. The numerical results can be used as stress intensity parameters to predict fatigue strength at circumferential corner front of a diamond‐like defect.

中文翻译：

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三维类金刚石缺陷的圆周V形拐角前沿的应力奇异强度

工程材料中通常包含具有圆形V形拐角前端的三维类金刚石缺陷。在本文中，使用改进的高级有限元方法计算了此类缺陷的广义应力强度因子。建立了全局坐标中的超级角前单元模型，以捕获沿圆周角前方向的应力奇异点。元素中的三维数值序列特征解已从局部曲线坐标中的渐近表达式转换而来。该元件适用于具有任意开口和倾斜角度的V型尖角。系统地研究了各种形状的类金刚石缺陷附近的奇异应力场。还研究了嵌入缺陷与自由表面或另一个相同缺陷的相互作用。数值结果可用作应力强度参数，以预测类金刚石缺陷的周角前部的疲劳强度。