Purpose

This article is concerned with the analysis of Love-type waves in a three-layer medium consisting of a functionally graded piezoelectric layer loaded on a heterogeneous solid layer above a size-dependent micropolar half-space. The intermediate layer is heterogeneous due to exponential type variation in rigidity and density.

Methods

Separation of variable method has been used to compute the displacement components, potential function and microrotational vectors of the composite layered structure. For electrically open circuit and short circuit cases, the closed form expression of the generalized frequency equation has been obtained in terms of the Bessel functions from the condition of constructive interference.

Results

Extractions of this theoretical study are in perfect agreement with the standard results. An extensive analysis for the propose model is carried out through numerical computation and graphical demonstration to explore the presence of piezoelectricity, heterogeneity and micropolarity in the frequency equation.

Conclusions

This study also reveals that the material parameters associated with upper layer, constrained layer and half-space, thickness parameter of the layers has a remarkable effect on phase and damped velocities of the Love waves propagation under considered geometrical structure.

中文翻译：

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由功能梯度压电层和尺寸相关的微极半空间划定的非均质介质中的爱波建模

目的

本文涉及对三层介质中的 Love 型波的分析，该介质由加载在尺寸相关的微极半空间上方的异质固体层上的功能梯度压电层组成。由于刚度和密度的指数型变化，中间层是异质的。

方法

分离变量法已被用于计算复合层状结构的位移分量、势函数和微旋转矢量。对于电气开路和短路情况，广义频率方程的闭式表达式已经根据相长干涉条件的贝塞尔函数得到。

结果

这项理论研究的摘录与标准结果完全一致。通过数值计算和图形演示对所提出的模型进行了广泛的分析，以探索频率方程中压电性、异质性和微极性的存在。

结论

该研究还表明，在考虑的几何结构下，与上层、约束层和半空间相关的材料参数、层的厚度参数对洛夫波传播的相位和阻尼速度有显着影响。