A dynamic model to study shear vertical waves in laminated coupled electro-mechanical materials is proposed. The mechanical imperfections at the interface between two materials or phases that constitute an heterogeneous medium are considered. The behavior of vertical transverse waves is analyzed by considering two types of imperfect contact. On the one hand, imperfect contact is taken into account through the motion of layers in the perpendicular direction to the interface. On the other hand, imperfect contact is considered through the motion of layers in a tangential direction to the interface. The layers are coupled through a spring obeying Hooke’s law. The degree of imperfection is incorporated through the magnitude of the spring’s elastic constant in both scenarios. The stress is proportional to the jump of the displacement vector at the layer interface and to the magnitude of the spring’s elastic constant. Dispersion relations for different volumetric fractions of the piezoelectric phase and different degrees of imperfection are obtained. Crossover regions are observed in the dispersion curves. Changes in the oscillation modes could be identified through the material displacements in these regions. Displacements within the composite material, used to describe the nature of the oscillations, are illustrated in some cases. Additionally, the perfect contact case is reproduced by solving the proposed model for large values of the spring’s elastic constant, showing a good agreement when compared with the solutions to models proposed by other authors. A comparison between theory and experimental results for the electromechanical coupling factor is presented. Finally, the experimental data for the coupling factor can be better explained by including the degree of imperfection through the model proposed in this work.

提出了一种研究层状耦合机电材料中剪切垂直波的动力学模型。考虑了构成异质介质的两种材料或相之间界面处的机械缺陷。通过考虑两种类型的不完美接触来分析垂直横波的行为。一方面，通过层在垂直于界面的方向上的运动考虑了不完美的接触。另一方面，通过层在界面切线方向上的运动来考虑不完全接触。这些层通过遵循胡克定律的弹簧耦合。在两种情况下，缺陷的程度都通过弹簧弹性常数的大小来计算。应力与层界面处位移矢量的跳跃和弹簧弹性常数的大小成正比。得到了不同体积分数的压电相和不同缺陷程度的色散关系。在色散曲线中观察到交叉区域。振荡模式的变化可以通过这些区域的材料位移来识别。在某些情况下，说明了用于描述振荡性质的复合材料内的位移。此外，通过对弹簧弹性常数的大值求解所提出的模型，再现了完美接触情况，与其他作者提出的模型求解相比，显示出良好的一致性。介绍了机电耦合因子的理论和实验结果之间的比较。最后，耦合因子的实验数据可以通过在这项工作中提出的模型包括不完善程度来更好地解释。