In this study, the dynamic stress intensity factors (DSIFs) at the tip of several cracks located at the interface between two half-planes made of functionally graded materials (FGMs) are calculated using the Distributed Dislocation technique (DDT). In this paper, the in-plane time-harmonic loading is considered and it is assumed that the properties of the FGMs follow the law of exponential function. First, the problem of two dissimilar half-planes that are weakened by an interface Volterra type climb and glide edge dislocation is solved using the Fourier transform, and then, using the DDT, singular integral equations with a singularity of the Cauchy type are extracted. To calculate the DSIFs at the cracks tips, the resulting singular integral equations are numerically discretized and the dislocation densities on the crack surfaces are obtained. Second, the graphs are presented in the numerical results section to show the effects of change in the parameters such as non-homogeneous constant, Poisson ratio, crack length, frequency and interaction between the cracks on DSIFs.

在这项研究中，位于由功能梯度材料 (FGM) 制成的两个半平面之间的界面处的几个裂纹尖端的动态应力强度因子 (DSIF) 使用分布位错技术 (DDT) 计算。在本文中，考虑了面内时谐载荷，并假设 FGM 的特性遵循指数函数定律。首先，使用傅立叶变换求解被界面 Volterra 型爬升和下滑边缘位错削弱的两个不同半平面的问题，然后使用 DDT 提取具有柯西型奇点的奇异积分方程。为了计算裂纹尖端的 ​​DSIF，对所得奇异积分方程进行数值离散，并获得裂纹表面的位错密度。