Photo-thermo-elastic wave propagation under the influence of magnetic field in presence of memory responses

Mondal, Sudip; Sur, Abhik; Kanoria, M.

doi:10.1080/15397734.2019.1701493

Cited by 44 publications

(4 citation statements)

References 45 publications

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“…, considering this conditions agrees 2PH lag problem Mondal [40]. By considering D ω f (t) → f ′ (t), K * = 0, τ v = 0, D 2 ω → 0, represents the photothermoelastic nodel of fractional ordered 2PH lag for semiconducting material discussed by Zakaria [44].…”

Section: Validation Of Modelmentioning

confidence: 95%

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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: Validation Of Modelmentioning

confidence: 95%

“…Zenkur et al [39] investigated the variable harmonic heat effect on PTE solid cylinder. Mondal et al [40,41] investigated PTE wave propagation under magnetic fields with memory problems. They also studied the PTE model in semiconducting materials with thermal relaxation and hyperbolic two temperature.…”

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 thermal wave propagation in an elastic solid with voids due to the presence of magnetic field with memory response was investigated by . Also Mondal et al (2021Mondal et al ( ,2019bMondal et al ( ,2020 and Purkait et al (2019c) have studied some significant observations as a result of the influence of magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Memory dependent magneto-thermoelastic interaction in a rotating medium based on refined multi-phase-lag model

De,

Purkait,

Das

et al. 2024

Preprint

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This article deals with the problem of wave propagation in a two-dimensional rotating medium under the influence of magnetic field based on refined multi-phase-lag model of thermoelasticity theory with memory-dependent derivative. The classical thermoelasticity theory, Lord-Shulman theory, Green-Naghdi IItheory and simple phase lag theory may be established as special cases of the refined multi-phase-lag thermoelasticity theory. A non-Gaussian laser beam is used to heat the bounding plane surface. Laplace and Fourier transform techniques are used to generate analytical formulae for several physical quantities onthe transformed domain. Using MATHEMATICA 10, the inversion of double transform has been performed numerically. Zakian method is used for the numerical inversion of Laplace transform. In order to demonstrate the effect of rotation, magnetic field and different kernel functions on all the main quantities such as displacements,temperature and stresses, the quantities are computed numerically and presented graphically for Lord-Shulman model with memory dependent derivative.

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“…Very recently, several problems in generalized thermoelasticity in the context of MDD have been reported in the following work of literatures [24–47].…”

Section: Introductionmentioning

confidence: 99%

Memory response in a two‐dimensional transversely isotropic thick plate with varying heat source

Islam

Mondal²

2020

Z Angew Math Mech

Self Cite

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This present survey deals with a novel mathematical model of generalized thermoelasticity which investigates the transient phenomena in a two‐dimensional problem for a transversely isotropic thick plate having a heat source. The upper surface of the plate is stress‐free with prescribed surface temperature while the lower surface of the plate rests on a rigid foundation and is thermally insulated. The study is carried out in the context of the three‐phase‐lag thermoelastic model. The governing equations for displacement and temperature fields are obtained in the Laplace‐Fourier transform domain by applying the Laplace and Fourier transform techniques. The inversion of double transform has been done numerically. The numerical inversion of the Laplace transform is done by using a method based on the Fourier series expansion technique. The numerical estimates of the quantities of physical interest are obtained and depicted graphically. The effect of the memory‐dependent derivative on the solutions has been studied.

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Photo-thermo-elastic wave propagation under the influence of magnetic field in presence of memory responses

Cited by 44 publications

References 45 publications

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

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

Memory dependent magneto-thermoelastic interaction in a rotating medium based on refined multi-phase-lag model

Memory response in a two‐dimensional transversely isotropic thick plate with varying heat source

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