In this paper, we examine the transient response of two bonded dissimilar functionally graded magneto-electro-elastic (MEE) layers with multiple interfacial cracks under magneto-electro-mechanical impacts. Material properties of the MEE layers are assumed to vary exponentially in the thickness direction of the layers. However, the rate of material properties gradation are different. First, the analytical solution is developed by considering a dynamic magneto-electro-elastic dislocation with time-dependent Burgers vector be situated at the interface of bonded layers by means of the Fourier and Laplace transform. The solutions are used to derive singular integral equations for the MEE layers containing interfacial cracks. Then, the integral equations are solved numerically for the density of dislocations on a crack surface. The dislocation densities are employed to determine the field intensity factors and the dynamic energy release rate. The effects of crack spacing and FGM exponent as well as crack interaction are studied.

中文翻译：

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两个不同功能梯度磁电弹性层之间多个界面裂纹的瞬态分析

在本文中，我们研究了在磁电机械冲击下具有多个界面裂纹的两个粘结的功能不同的功能梯度磁电弹性（MEE）层的瞬态响应。假设MEE层的材料特性在层的厚度方向上呈指数变化。但是，材料性能渐变的速率不同。首先，通过考虑傅立叶变换和拉普拉斯变换，将具有时变依赖的Burgers向量的动态磁电弹性位错置于键合层的界面处，从而开发了解析解决方案。该解用于导出包含界面裂纹的MEE层的奇异积分方程。然后，对裂纹表面的位错密度进行数值求解。位错密度用于确定场强因子和动态能量释放速率。研究了裂纹间距和FGM指数以及裂纹相互作用的影响。