Abstract

This study is carried out to investigate the mechanical and electrical characteristics of Love waves in a visco-piezo-composite medium bounded between an orthotropic upper stratum and an elastic substrate of conducting type medium. The mechanically imperfect boundary conditions have been considered for both the interfaces of the sandwiched stratum. By solving coupled electromechanical field equations analytically, the electric potential, and mechanical displacement are obtained for the respective medium. After that, by using the relevant boundary conditions, the expression of dispersion has been established. The effect of various parameters such as viscosity, piezo-electric, dielectric, imperfection parameter, thickness ratio parameters on phase velocity, and attenuation coefficient of Love waves have been discussed. For the validation of our solution, the classical Love wave equation is obtained in the limiting sense (i.e. in the absence of piezoelectricity, upper surface, viscosity, imperfection parameters). To date, nobody has considered a Voigt-type viscous effect in composite piezo-structure to study Love wave propagation, even in the latest research works. Results indicate that the piezo-electric parameter possesses a great positive impact on phase velocity and attenuation coefficient. The attenuation co-efficient converges to some constant magnitude for different values of the thickness ratio parameter. The present investigation may find various applications in many problems of automatic remote control, space exploration, and piezoelectric ceramic devices. Moreover, it can be used in the investigation of the deformation and mechanical behavior of the sedimentary rock.

摘要

本研究的目的是研究勒夫波在正交各向异性上层和导电型介质弹性基底之间的粘压电复合介质中的机械和电气特性。夹层地层的两个界面均考虑了机械不完善边界条件。通过解析求解耦合机电场方程，可以获得相应介质的电势和机械位移。之后，利用相关边界条件，建立了色散的表达式。讨论了粘度、压电、介电、缺陷参数、厚度比参数等各种参数对洛夫波相速度和衰减系数的影响。为了验证我们的解决方案，在极限意义上（即在没有压电、上表面、粘度、缺陷参数的情况下）获得了经典的Love波动方程。迄今为止，即使在最新的研究工作中，也没有人考虑复合压电结构中的福伊特型粘性效应来研究洛夫波传播。结果表明，压电参数对相速度和衰减系数具有很大的正向影响。对于厚度比参数的不同值，衰减系数收敛到某个恒定量值。目前的研究可能会在自动遥控、太空探索和压电陶瓷器件的许多问题中找到各种应用。而且，