Double porous thermoelastic waves in a homogeneous, isotropic solid with inviscid liquid

Pathania, Vijayata; Kumar, Ramesh; Gupta, Vipin; Barak, M. S.

doi:10.1007/s00419-023-02364-w

Cited by 12 publications

(7 citation statements)

References 27 publications

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“…Several researchers, including Pathania et al (2022), Pathania et al (2023), Kumar et al (2023aKumar et al ( , 2023b have devoted their research efforts to exploring a range of issues related to plane waves. These investigations have delved into topics such as fractional order, twotemperature theories and nonlocality.…”

Section: Introductionmentioning

confidence: 99%

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

Gupta,

M.S.,

Das

2024

HFF

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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.

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Section: Introductionmentioning

confidence: 99%

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

Gupta,

M.S.,

Das

2024

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“…Following Iesan and Quintanilla [38], Pathania et al [39], and Ezzat et al [40], for a homogeneous isotropic double porous thermoelastic medium with dual-phase-lag the governing equations, considering MDD and without body forces or external heat sources are 2.1. For double porous thermoelastic half-space…”

Section: The Governing Equationsmentioning

confidence: 99%

Energy ratio response at the interface of elastic and dual-porous thermoelastic half-spaces

Kumar,

Gupta,

Pathania

et al. 2023

Phys. Scr.

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The present study delves into the intricate examination of energy distribution inherent in plane waves interfacing with an elastic half-space and a thermoelastic half-space characterized by a dual porosity framework. Employing the memory-dependent dual-phase-lag (DPL) hyperbolic two-temperature (H2T) thermoelastic paradigm, the investigation encompasses various incident wave types. The governing equations, rendered in a non-dimensional format, are meticulously addressed by applying the rigorous technique of eigenmode analysis. The intricate energy ratios are meticulously ascertained through the judicious imposition of boundary conditions and the discerning employment of reflection and transmission coefficients. Graphical representations have been exhibited, elucidating the effects of diverse parameters on distinct energy ratios within crystalline structures akin to magnesium materials. These parameters encompass but are not confined to the H2T paradigm, the absence of the two-temperature influence, the classical two-temperature approach, memory effects, and a spectrum of distinct kernel functions. The proposed model emanates cross-disciplinary utility, traversing the domains of seismology, acoustics, optics, materials science, structural engineering, and geophysics.

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“…The importance of this research resides in its capacity to enhance our comprehension of the repercussions of thermal lagging and the associated secondary effects that manifest in micro-scale heat transfer models when subjected to high-frequency stimuli. Several researchers (Li, 2017;Pathania et al, 2022;Abouelregal et al, 2022;Pathania et al, 2023;Yadav et al, 2023) have dedicated their investigations to exploring various issues related to the plane waves focusing on fractional order, two temperature theories and nonlocality. Lewis et al (1991Lewis et al ( , 1997Lewis et al ( , 2004) conducted an in-depth treatment of various heat transfer problems.…”

Section: Photo-thermopiezo-elastic Wavesmentioning

confidence: 99%

Photo-thermo-piezo-elastic waves in semiconductor medium subject to distinct two temperature models with higher order memory dependencies

Gupta,

Barak

2023

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Purpose This study aims to examine the impacts of higher memory dependencies on a novel semiconductor material that exhibits generalized photo-piezo-thermo-elastic properties. Specifically, the research focuses on analyzing the behavior of the semiconductor under three distinct temperature models. Design/methodology/approach The study assumes a homogeneous and orthotropic piezo-semiconductor medium during photo-thermal excitation. The field equations have been devised to encompass higher order parameters, temporal delays and a specifically tailored kernel function to address the problem. The eigenmode technique is used to solve these equations and derive analytical expressions. Findings The research presents graphical representations of the physical field distribution across different temperatures, higher order plasma heat conduction models and time. The results reveal that the amplitude of the distribution profile is markedly affected by factors such as the memory effect, time, conductive temperature and spatial coordinates. These factors cannot be overlooked in the analysis and design of the semiconductor. Research limitations/implications Specific cases are also discussed in detail, offering the potential to advance the creation of precise models and facilitate future simulations. Practical implications The research offers valuable information on the physical field distribution across various temperatures, allowing engineers and designers to optimize the design of semiconductor devices. Understanding the impact of memory effect, time, conductive temperature and spatial coordinates enables device performance and efficiency improvement. Originality/value This manuscript is the result of the joint efforts of the authors, who independently initiated and contributed equally to this study.

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Double porous thermoelastic waves in a homogeneous, isotropic solid with inviscid liquid

Cited by 12 publications

References 27 publications

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

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

Energy ratio response at the interface of elastic and dual-porous thermoelastic half-spaces

Photo-thermo-piezo-elastic waves in semiconductor medium subject to distinct two temperature models with higher order memory dependencies

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