Purpose

This paper addresses a significant research gap in the study of Rayleigh surface wave propagation within a piezoelectric medium characterized by piezoelectric properties, thermal effects and voids. Previous research has often overlooked the crucial aspects related to voids. This study aims to provide analytical solutions for Rayleigh waves propagating through a medium consisting of a nonlocal piezo-thermo-elastic material with voids under the Moore–Gibson–Thompson thermo-elasticity theory with memory dependencies.

Design/methodology/approach

The analytical solutions are derived using a wave-mode method, and roots are computed from the characteristic equation using the Durand–Kerner method. These roots are then filtered based on the decay condition of surface waves. The analysis pertains to a medium subjected to stress-free and isothermal boundary conditions.

Findings

Computational simulations are performed to determine the attenuation coefficient and phase velocity of Rayleigh waves. This investigation goes beyond mere calculations and examines particle motion to gain deeper insights into Rayleigh wave propagation. Furthermore, this investigates how kernel function and nonlocal parameters influence these wave phenomena.

Research limitations/implications

The results of this study reveal several unique cases that significantly contribute to the understanding of Rayleigh wave propagation within this intricate material system, particularly in the presence of voids.

Practical implications

This investigation provides valuable insights into the synergistic dynamics among piezoelectric constituents, void structures and Rayleigh wave propagation, enabling advancements in sensor technology, augmented energy harvesting methodologies and pioneering seismic monitoring approaches.

Originality/value

This study formulates a novel governing equation for a nonlocal piezo-thermo-elastic medium with voids, highlighting the significance of Rayleigh waves and investigating the impact of memory.

中文翻译：

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记忆相关传热对带空隙非局域压电热弹性介质中瑞利波传播的影响

目的

本文解决了以压电特性、热效应和空隙为特征的压电介质内瑞利表面波传播研究中的一个重大研究空白。以前的研究经常忽视与空隙相关的关键方面。本研究旨在根据具有记忆依赖性的摩尔-吉布森-汤普森热弹性理论，为通过由具有空隙的非局域压电热弹性材料组成的介质传播的瑞利波提供解析解。

设计/方法论/途径

使用波模方法导出解析解，并使用 Durand-Kerner 方法根据特征方程计算根。然后根据表面波的衰减条件对这些根进行过滤。该分析适用于承受无应力和等温边界条件的介质。

发现

进行计算模拟以确定瑞利波的衰减系数和相速度。这项研究超越了单纯的计算，并检查了粒子运动，以更深入地了解瑞利波的传播。此外，这还研究了核函数和非局部参数如何影响这些波动现象。

研究局限性/影响

这项研究的结果揭示了几种独特的情况，这些情况极大地有助于理解瑞利波在这种复杂的材料系统中的传播，特别是在存在空隙的情况下。

实际影响

这项研究为压电成分、空隙结构和瑞利波传播之间的协同动力学提供了宝贵的见解，从而促进了传感器技术、增强能量收集方法和开创性地震监测方法的进步。

原创性/价值

这项研究为具有空隙的非局域压电热弹性介质制定了一个新颖的控制方程，强调了瑞利波的重要性并研究了记忆的影响。