The Wu‐Carlsson displacement‐based weight function method is extended to obtain the mode I and mode II weight functions for the edge‐ and centre‐cracked discs. Compared with Fett's direct adjustment weight functions for the edge‐cracked discs, the present weight functions are more accurate and are applicable for a wider range of crack lengths. Using the present weight functions, extensive and highly accurate mixed‐mode stress intensity factors are obtained for the cracked discs subjected to diametrically compressive forces. Assuming perfect contact and using Coulomb friction law and the present weight functions, the mode II stress intensity factors for the cracked discs with consideration of friction are obtained and widely compared with the corresponding results from finite element analyses.

中文翻译：

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破裂光盘的宽范围和精确的混合模式权重函数和应力强度因子

扩展了基于Wu-Carlsson位移的权重函数方法，以获取边缘破裂和中心破裂的光盘的I型和II型权重函数。与Fett的边缘开裂圆盘的直接调整权重功能相比，当前的权重功能更加准确，适用于更宽的裂纹长度范围。使用当前的权重函数，可以得到承受径向压缩力的裂纹盘的广泛且高度精确的混合模应力强度因子。假设完美的接触，并使用库仑摩擦定律和当前的重量函数，获得了考虑了摩擦的裂纹盘的II型应力强度因子，并将其与有限元分析的相应结果进行了广泛比较。