A convenient calculation method is proposed for the stress intensity factor (SIF) in cracked functionally graded material (FGM) structures. In this method, the complex computational problem for SIFs in cracked FGM plate and cylinder can be simplified as the calculation problem of empirical formulas of SIFs in cracked homogenous plate and cylinder with same loading conditions and the calculation problem of related transition parameters. The results show that the SIF in cracked FGM structure can be obtained accurately without using matrix and integral. The validity and usefulness of the present method are proved by comparing with the results of the conventional method.

中文翻译：

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开裂FGM结构应力强度因子计算的均质化变换法

提出了一种方便的计算方法来计算开裂功能梯度材料（FGM）结构中的应力强度因子（SIF）。该方法将复杂的FGM开裂板柱SIFs计算问题简化为相同载荷条件下开裂均质板柱SIFs经验公式的计算问题和相关过渡参数的计算问题。结果表明，在不使用矩阵和积分的情况下，可以准确地获得裂纹FGM结构中的SIF。通过与传统方法的结果对比，证明了本方法的有效性和实用性。