Photothermal excitation of an initially stressed nonlocal semiconducting double porous thermoelastic material under fractional order triple-phase-lag theory

Gupta, Shishir; Dutta, Rachaita; Das, Soumik

doi:10.1108/hff-10-2021-0700

Cited by 15 publications

(4 citation statements)

References 69 publications

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“…Alzahrani and Abbas [46] compared analytical and numerical solutions for the semiconducting spherical cavity of PTE theory with the finite difference method. Gupta et al [47] investigated 3PH lag fractional ordered photothermal excitation for initially stressed semiconducting double porous with Erigen's nonlocal theory and voids. Sharma et al [48] established the PTE model of phase lag with ramp-type heating.…”

Section: Introductionmentioning

confidence: 99%

Memory effects in isotropic semiconductors: a three-phase lag model analysis

Jojare,

Gaikwad

2024

Mech Time-Depend Mater

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The objective of this article is to delve into the isotropic three-phase (3PH) lag magneto photo-thermoelastic (PTE) theory in semiconductor medium, with a special emphasis on its memory-dependent-derivative (MDD) characteristics. The equations for displacement, temperature distribution, carrier density, and stress components resulting from this theory are formulated using these characteristics and then transformed into a Fourier-Laplace vector matrix differential equation. This equation is solved using an eigenvalue approach, and the numerical solution is obtained by inverting Fourier and Laplace transforms. Graphical solutions based on the properties of silicon material are visualized using Mathematica software. The results demonstrate the excellence of MDD in this 3PH model by showing the effect of coupling between thermal, plasma, and elastic waves with the presence of time delay parameters and linear kernel function. Additionally, the presence of several kernel functions reveals significant differences in these magneto PTE quantities. This theory will aid in better characterizing materials, optimizing device design, and exploring non-linear and transient phenomena in greater detail. Ultimately, these advancements will push the boundaries of photo-thermal science and its practical applications.

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Section: Introductionmentioning

confidence: 99%

Memory effects in isotropic semiconductors: a three-phase lag model analysis

Jojare,

Gaikwad

2024

Mech Time-Depend Mater

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“…Kundu et al (2023) have discussed two-dimensional deformations in an initially stressed nonlocal micropolar thermoelastic porous medium subjected to a moving thermal load. Recently, Gupta et al (2022bGupta et al ( , 2023 have explored the thermo-mechanical deformation in a double porous material with voids subjected to fractional-order TPL and memory-dependent DPL thermoelasticity theories, respectively.…”

Section: Introductionmentioning

confidence: 99%

Nonlocal fiber-reinforced double porous material structure under fractional-order heat and mass transfer

Dutta

Das

Gupta

et al. 2023

HFF

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Purpose The purpose of this study is to analyze the thermo-diffusion process in a semi-infinite nonlocal fiber-reinforced double porous thermoelastic diffusive material with voids (FRDPTDMWV) in light of the fractional-order Lord–Shulman thermo-elasto-diffusion (LSTED) model. By virtue of Eringen’s nonlocal elasticity theory, the governing equations for the considered material are developed. The free surface of the substrate is governed by the inclined mechanical load and thermal and chemical shocks. Design/methodology/approach With the aid of the normal mode technique, the solutions of the nondimensional coupled governing equations have been obtained. Findings The expressions of field variables are obtained analytically. By using MATHEMATICA software, various graphical implementations are presented to describe the impacts of angle of inclination, fractional-order and nonlocality parameters. The present model is also validated on the basis of some comparative studies with some preestablished cases. Originality/value As observed from the literature survey, many different studies have been carried out by taking into account the deformation analysis in nonlocal double porous thermoelastic material structures and thermo-mechanical interaction in fiber-reinforced medium under fractional-order thermoelasticity theories. However, to the best of the authors’ knowledge, no research emphasizing the thermo-elasto-diffusive interactions in a nonlocal FRDPTDMWV has been carried out. Moreover, the effect of fractional-order LSTED theory on fiber-reinforced thermoelastic diffusive half-space with double porosity has not been illuminated till now, which significantly defines the novelty of the conducted research.

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“…Shishir Gupta et al 42 studied the Hall current effect in double poro-thermoelastic material with fractional-order Moore-Gibson-Thompson heat equation subjected to Eringen’s nonlocal theory. Shishir Gupta et al 43 discussed photothermal excitation of an initially stressed nonlocal semiconducting double porous thermoelastic material under fractional order triple-phase-lag theory. Shishir Gupta et al 44 considered the higher-order fractional and memory response in nonlocal double poro-magneto-thermoelastic medium with temperature-dependent properties excited by laser pulse and Shishir Gupta et al 45 studied Double poro-magneto-thermoelastic model with microtemperatures and initial stress under memory-dependent heat transfer.…”

Section: Introductionmentioning

confidence: 99%

Propagation and reflection of thermoelastic wave in a rotating nonlocal fractional order porous medium under Hall current influence

Bibi,

Ali,

Azhar

et al. 2023

Sci Rep

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This investigation relates to the research on Hall current on propagation and reflection of elastic waves through non-local fractional-order thermoelastic rotating medium with voids. The system is split up into longitudinal and transverse components using the Helmholtz vector rule. It is observed that, through the frequency dispersion relation four coupled quasi-waves exist in the medium. The rotating solid modifies the nature of purely longitudinal and transverse waves toward the quasi-type waves. All the propagating waves are dispersive as they depend upon angular frequency. The quasi-longitudinal wave qP and quasi-transverse wave qSV faces cut-off frequencies. The nonlocal parameter affect all the waves except the quasi void wave. Analytically, the reflection coefficients of the wave are computed using suitable boundary conditions. MATLAB software is used to perform numerical computations for a chosen solid material. The amplitude ratios and the speed of propagation of the wave are plotted graphically for rotational frequency, nonlocal, fractional order, and Hall current parameter. The significant effect of the physical parameters on the computed results has been observed. The cut-off frequency of the waves is also presented graphically. The energy conservation law is proved in the form of energy ratios. The earlier findings in the literature are obtained as special case in the absence of rotation, Hall current parameter and porous voids.

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Photothermal excitation of an initially stressed nonlocal semiconducting double porous thermoelastic material under fractional order triple-phase-lag theory

Cited by 15 publications

References 69 publications

Memory effects in isotropic semiconductors: a three-phase lag model analysis

Memory effects in isotropic semiconductors: a three-phase lag model analysis

Nonlocal fiber-reinforced double porous material structure under fractional-order heat and mass transfer

Propagation and reflection of thermoelastic wave in a rotating nonlocal fractional order porous medium under Hall current influence

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