This study aimed to investigate the fracture behavior of a cracked orthotropic FGM medium when exposed to an in-plane harmonic load. The mechanical feature of the medium exponentially varied along the y-axis. Using the Fourier transform method, stress was analyzed by assessing Volterra edge dislocation in orthotropic FGM media. The obtained solution was then applied to derive Cauchy singular integral equations to analyze multiple cracks. The mentioned equations were numerically solved to determine dislocation density functions on the crack face which were then used to evaluate dynamic mixed stress intensity factors. The influence of crack interaction, non-homogeneity, and load frequency on the dynamic stress intensity was numerically illustrated through examples.

这项研究旨在研究正交各向异性破裂的FGM介质在面内谐波载荷下的断裂行为。介质的机械特征沿y轴呈指数变化。使用傅里叶变换方法，通过评估正交各向异性FGM介质中的Volterra边缘位错来分析应力。然后将获得的解决方案应用于推导柯西奇异积分方程，以分析多个裂纹。对上述方程进行数值求解，以确定裂纹面上的位错密度函数，然后将其用于评估动态混合应力强度因子。通过算例说明了裂纹相互作用，非均匀性和载荷频率对动应力强度的影响。