Quasi-P wave through orthotropic piezo-thermoelastic materials subject to higher order fractional and memory-dependent derivatives

Gupta, Vipin; Barak, M. S.

doi:10.1080/15376494.2023.2217420

Cited by 14 publications

(8 citation statements)

References 60 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Case 2: The current model reduces to a higher-order fractional derivative thermoelastic model with the photo-excitation process while excluding the electric field E , i electric displacement D , i and pyroelectricity t . the governing equation of this model agree with a specific scenario presented by Gupta and Barak [20]. Furthermore, selecting the higher-order parameters = p 1,…”

Section: P P H a A H A A Q H A A D T R H A Asupporting

confidence: 79%

See 1 more Smart Citation

Reflection of quasi plasma wave in photo-piezo semiconductor medium with distinct higher order fractional derivative two temperature models

Gupta,

Barak,

Ahmad

2024

Phys. Scr.

View full text Add to dashboard Cite

This article investigates the reflection of photo-piezo-thermoelastic plane wavesfrom a homogeneous, orthotropic, and piezo semiconductor medium during photothermalprocess. A novel higher-order fractional derivative hyperbolic two-temperature dual-phaselag model is employed to tackle this study. The analytical solution to the problem in the plane reveals the presence of five interconnected waves. The derivation of formulas for reflection coefficients and their corresponding energy ratios is performed for an incident quasi-plasma wave. Numerical computations determine the energy ratios for different angles of incidence. These energy ratios are visually represented in graphs, demonstrating the influence of higher-order parameters, two-temperature effects, fractional order derivatives, and various heat conduction models.

show abstract

Section: P P H a A H A A Q H A A D T R H A Asupporting

confidence: 79%

“…These investigations have been documented in references [18]. The study conducted by Gupta et al [19,20] involved an examination of phase lags, kernel functions, H2T and C2T principles on energy ratios of seismic waves in different piezo thermoelastic interfaces within a framework of fractional and memory-dependent derivatives.…”

Section: Introductionmentioning

confidence: 99%

Reflection of quasi plasma wave in photo-piezo semiconductor medium with distinct higher order fractional derivative two temperature models

Gupta,

Barak,

Ahmad

2024

Phys. Scr.

View full text Add to dashboard Cite

show abstract

“…Choose cadmium selenide (CdSe) as the material under examination. To ensure accurate computations, we sourced the material parameters from extensive research conducted by Gupta and Barak (2023a) and Lotfy et al (2021). These parameters, crucial in characterizing CdSe, have been compiled in Table 1 for easy reference.…”

Section: Numerical Findings and Discussionmentioning

confidence: 99%

“…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

HFF

Self Cite

View full text Add to dashboard Cite

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.

show abstract

“…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

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Quasi-P wave through orthotropic piezo-thermoelastic materials subject to higher order fractional and memory-dependent derivatives

Cited by 14 publications

References 60 publications

Reflection of quasi plasma wave in photo-piezo semiconductor medium with distinct higher order fractional derivative two temperature models

Reflection of quasi plasma wave in photo-piezo semiconductor medium with distinct higher order fractional derivative two temperature models

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

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

Contact Info

Product

Resources

About