Energy analysis at the boundary interface of elastic and piezothermoelastic half-spaces

Barak, M. S.; Kumar, Ramesh; Kumar, Rajneesh; Gupta, Vipin

doi:10.1007/s12648-022-02568-w

Cited by 17 publications

(10 citation statements)

References 36 publications

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“…0 q The energy ratio for all the considered cases increases with 0 q from 0 0 to 55 , 0 after which it decreases with a higher value of the angle of incidence. Notably, the same trend of energy ratio is observed in all the examined cases, which is the same as discussed by Barak et al [30].…”

Section: Numerical Results and Discussionsupporting

confidence: 90%

“…In the present section, we computed and visually illustrated the fluctuations in energy ratios pertaining to incident P SV ( )waves at the interface z 0 = of the elastic (graphite) and double-porous thermoelastic (magnesium) mediums. For this purpose, table 1 lists the material constants following [30,42]. The numerical values of additional parameters are considered as a 0.05, 0.03, 0.7 q T * t t = = = and 100. w = Two sets of graphs for both incident P-wave and SV-wave are presented to show the effect of different temperature models with and without memory effect and various kernel functions concerning the angle of the incident 0 q from 0 0 to 90 .…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…These investigations provide valuable insights into how these composite materials respond to varying conditions, thereby advancing comprehension of their mechanical characteristics and the propagation of waves within them. Gupta and his coworker [30][31][32][33][34][35][36][37] investigated various wave propagation problems in elastic, thermoelastic and piezoelectric materials.…”

Section: T Tmentioning

confidence: 99%

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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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Section: Numerical Results and Discussionsupporting

confidence: 90%

Section: Numerical Results and Discussionmentioning

confidence: 99%

Section: T Tmentioning

confidence: 99%

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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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“…Zenkour and Alghanmi (2021) analyzed the stress and deformation of sandwich plates with a functionally graded core and piezoelectric material faces with electro-mechanical-hygro-thermo sinusoidal loadings. The energy ratio at various types of interfaces, including fluid, elastic, semiconductor and piezo-thermo-elastic, has been studied by Yadav (2021aYadav ( , 2021bYadav ( , 2021c, Gupta and his team (Gupta et al, 2023b;Barak et al, 2023a;Gupta et al, 2023a;Barak et al, 2023b;Barak and Gupta, 2023;Gupta and Barak, 2023) and analyzed the effects of moisture, magnetic fields, phase lags, memory-dependent and fractional derivatives.…”

Section: Introductionmentioning

confidence: 99%

Reflection at the free surface of the orthotropic piezo-hygro-thermo-elastic medium

Yadav¹,

Barak

Gupta

2023

HFF

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Purpose This paper aims to study the impact of pyro-electricity, moisture and temperature diffusivity on the energy distribution of plane waves at the free surface of an orthotropic piezo-hygro-thermo-elastic medium. Design/methodology/approach This study presents the novel creation of governing equations for an anisotropic piezothermoelastic medium with moisture impact, which is a significant contribution of this paper. Findings In addition to providing numerical data for the amplitude ratios and energy ratios of reflected waves, this study identifies five different kinds of coupled reflected plane waves, namely, quasi-longitudinal P wave, quasi-thermal wave, quasi-transverse wave, quasi-moisture wave and electric potential wave. Research limitations/implications The graphical analysis examines the impact of various factors, such as the angle of incidence, moisture and temperature diffusivity, pyro-electricity and frequency, on energy distribution. Practical implications This paper's results significantly impact the development of more efficient piezoelectric materials and their applications in geophysics. Originality/value The authors of the submitted document initiated and produced it collectively, with equal contributions from all members.

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“…Lewis et al (1991, 1997, 2004) conducted an in-depth treatment of various heat transfer problems. Barak and his coworkers (Barak et al , 2023a, 2023b; Gupta et al , 2023b; Gupta and Barak, 2023a) conducted research specifically centered around the analysis of energy ratios in various piezothermoelastic interface models. Their investigations considered the presence of phase lags and the application of HTT concepts within a framework that involved fractional and MDDs.…”

Section: Introductionmentioning

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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Energy analysis at the boundary interface of elastic and piezothermoelastic half-spaces

Cited by 17 publications

References 36 publications

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

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

Reflection at the free surface of the orthotropic piezo-hygro-thermo-elastic medium

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

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