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Impact of memory-dependent heat transfer on Rayleigh waves propagation in nonlocal piezo-thermo-elastic medium with voids

Vipin Gupta (Department of Mathematics, Indira Gandhi University Meerpur, Meerpur, India)
M.S. Barak (Department of Mathematics, Indira Gandhi University Meerpur, Meerpur, India)
Soumik Das (School of Physical Sciences, Amrita Vishwa Vidyapeetham, Mysuru, India)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 11 March 2024

Issue publication date: 29 March 2024

37

Abstract

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.

Keywords

Acknowledgements

The authors would like to express their gratitude and acknowledge Amrita Vishwa Vidyapeetham, Mysuru campus, India and Indira Gandhi University, Meerpur, India for providing the necessary facilities to carry out this research work.

Funding: This research received no specific grant from any funding agency in the public, commercial, or not-for-profit sectors.

Disclosure statement: The authors do not possess any financial or nonfinancial interests that could be seen as conflicting in the context of this research.

Citation

Gupta, V., M.S., B. and Das, S. (2024), "Impact of memory-dependent heat transfer on Rayleigh waves propagation in nonlocal piezo-thermo-elastic medium with voids", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 34 No. 4, pp. 1902-1926. https://doi.org/10.1108/HFF-10-2023-0615

Publisher

:

Emerald Publishing Limited

Copyright © 2024, Emerald Publishing Limited

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