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Stress intensity factor analysis of kinked and hole crack in an infinite plate using numerical conformal mapping
Theoretical and Applied Fracture Mechanics ( IF 5.0 ) Pub Date : 2021-05-18 , DOI: 10.1016/j.tafmec.2021.103022
Yufei Li , Kan Zheng

The stress intensity factors (SIFs) of the kinked crack emanating from a hole in an infinite plate are calculated by Muskhelishvili’s formalism. A numerical Schwarz–Christoffel (S-C) conformal mapping method is proposed to calculate the mapping function which transforms the relatively complex configuration of the crack onto a unit circle. The application of this method to the cases of kinked crack and hole crack problems shows good accuracy of SIFs compared to the results of other researches. The performance of the application to the hole crack with multiple kinks shows the potential of this method in the analysis of crack with complex configuration.



中文翻译:

应用数值共形映射分析无限板中扭结和孔裂纹的应力强度因子

由无限板中孔产生的扭结裂纹的应力强度因子(SIF)由Muskhelishvili的形式主义来计算。提出了一种数值的Schwarz-Christoffel(SC)共形映射方法来计算映射函数,该函数将相对复杂的裂纹构造转换为单位圆。与其他研究结果相比,该方法在纠结裂纹和孔裂纹问题中的应用显示了SIF的良好准确性。在具有多种扭结的孔裂纹上的应用性能表明,该方法在分析具有复杂结构的裂纹方面的潜力。

更新日期:2021-05-27
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