In the present study, weight functions (WFs) of a subsurface crack were derived by proposing a new general form for approximate one‐dimensional WF. The WFs coefficients were considered as a function of crack length to depth ratio and were obtained using reference stress intensity factors (SIFs) of 16 cracks under uniform, linear, and parabolic normal and shearing loadings. The verification was performed by comparison of the straight and coupled SIFs calculated by WF and finite element modelling under some complicated loadings. In conclusion, the WFs can be simply and effectively employed for evaluating the cracks under any complex stress distributions.

中文翻译：

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一般载荷下一维地下裂纹的新权重函数

在本研究中，通过提出一种近似一维WF的新通用形式，得出了地下裂纹的重量函数（WFs）。WFs系数被认为是裂纹长度与深度之比的函数，并且是使用16个裂纹在均匀，线性和抛物线法向和剪切载荷下的参考应力强度因子（SIF）得出的。通过比较在某些复杂载荷下由WF和有限元建模计算的直线和耦合SIF进行验证。总之，可以简单有效地利用WF来评估任何复杂应力分布下的裂纹。