Influence of gravity, magnetic field, and thermal shock on mechanically loaded rotating FGDPTM structure under Green-Naghdi theory

Gupta, Shishir; Das, Soumik; Dutta, Rachaita

doi:10.1080/15397734.2020.1853565

Cited by 14 publications

(7 citation statements)

References 42 publications

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“…Equations ( 52)-( 59) and ( 61) associated with the local double porous TE half-space with voids subjected to GN-III heat equation fairly match with equations ( 2)-( 9) and ( 14) of Gupta et al (2020) by considering the absence of functionally graded parameter, gravity and rotation in the aforementioned article.…”

Section: Case Iii: the Absence Of Delay Timesmentioning

confidence: 62%

“…The uniqueness, stability criterion and the condition of existence of the solution are documented in the work conducted by the aforementioned researchers. Recently, Gupta et al (2020) have performed the theoretical investigation of deformations in a rotating functionally graded double porous TE material with voids in light of two temperature G-N III thermoelasticity theory.…”

Section: Introductionmentioning

confidence: 99%

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

Gupta

Dutta

Das

2022

HFF

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Purpose This paper aims to study photothermal excitation process in an initially stressed semi-infinite double porous thermoelastic semiconductor with voids subjected to Eringen’s nonlocal elasticity theory under the fractional order triple-phase-lag thermoelasticity theory. The considered substrate is governed by the mechanical and thermal loads at the free surface. Design/methodology/approach The normal mode technique is used to carry out the investigation of photothermal transportation. By virtue of the MATHEMATICA software, each distribution is exhibited graphically. Findings The expressions of the displacements, temperature, volume fractions of both kinds of voids, carrier density and stresses are determined analytically. With the help of the numerical data for silicon (Si) material, graphical implementations are presented on the basis of initial stress, fractional order, nonlocality and thermoelectric coupling parameters. Originality/value The present study fabricates the association of Eringen’s nonlocal theory and the stress analysis in a semiconducting double porous thermoelastic material with voids, which significantly implies the originality of the conducted work.

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Section: Case Iii: the Absence Of Delay Timesmentioning

confidence: 62%

Section: Introductionmentioning

confidence: 99%

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

Gupta

Dutta

Das

2022

HFF

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“…(15, 16 and 18-21) in Eqs. (17) and also from (8,9) in spherical coordinates, the governing equations for the semiconducting solid sphere are: (…”

Section: Mathematical Model Of the Problemmentioning

confidence: 99%

“…x , yields Kaur et al [16] examined the semi-conducting solid cylinder exposed to exponential laser pulse with MGTPT and Hall current effect. In addition to these, Gupta et al [17][18][19], Craciun et al [20,21], Kaur and Singh [22,23], Kaur et al [24], Tiwari and Mukhopadhyay [25], Kaur et al [26], Tiwari et al [27,28], Marin et al [29], Gupta et al [30,31], Kumar et al [32] also done studies on the Hall current effect and other theories of thermoelasticity. The literature survey revealed, however, that no research had been done on the transient examination of a semiconductor sphere exposed to ultrashort pulsed laser heating and photogenerated plasma under the Hall Effect.…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic analysis of semiconducting solid sphere based on modified Moore-Gibson-Thompson heat conduction with Hall Effect

Kaur¹,

Singh

2022

SN Appl. Sci.

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The main contribution of this study is to present a unique new mathematical model of photo-thermoelastic interactions with Hall current effect in an infinite semiconducting solid sphere due to high magnetic field acting along its axis. A variable heat flux is applied to the boundary surface of a solid semiconductor sphere. A generalized modified Moore-Gibson-Thompson-Photo-Thermal (MGTPT) theory is used to express the governing equations. In the Green Nagdhi (GN III) model, a thermal relaxation parameter and carrier density parameter is introduced to obtain the new modified Moore-Gibson-Thompson equation (MGT). This mathematical model is solved using Laplace's transforms. Various components of displacement, thermodynamic temperature, conductive temperature, carrier density and axial stress as well as couple stress are obtained in the transformed domain. To get the solution in physical domain, numerical inversion techniques have been employed. The effect various thermoelasticity theories and Hall current is shown graphically on the physical quantities.

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“…Othman and Atwa (2014) utilized the Green-Naghdi theory to examine the effect of gravity and rotation reinforcement on overall body deformation and their mutual interaction. The development of the effect of gravity is available in many studies, such as Pal and Kanoria (2017), Othman et al (2019), Gupta et al (2020), , Alharbi (2021), Abouelregal and Marin (2020a, b), Zhang et al (2022), Kumar and Chawla (2011).…”

mentioning

confidence: 99%

Thermoelastic micro-stretch solid immersed in an infinite inviscid fluid and subject to gravity under three-phase-lag model

Othman

Atwa

Eraki

et al. 2022

MMMS

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PurposeIn this work, the thermoelastic response in a micro-stretch thermoelastic half-space submerged in an unlimited non-viscous fluid under gravity, the medium is studied using the three-phase-lag model (3PHL) and Green-Naghdi theory (G-N III).Design/methodology/approachThe normal mode analysis was the analytic technique used to obtain the exact formula of the physical quantities.FindingsThe magnesium crystal element is used as an application to compare the predictions induced by gravity on microstretch thermoelastic immersed in an infinite fluid of the three-phase-lag model with those for Green–Naghdi. Gravity has been noticed to have a major effect on all physical quantities. Comparisons were also made for three values of wave number and three values of the real part frequency.Originality/valueThis work is concerned with the thermoelastic micro-stretch solid immersed in an infinite and inviscid fluid and subjected to a gravitational field. The governing equations are formulated in the context of the 3PHL model and G-N theory. An analytical solution to the problem is obtained by employing normal mode analysis. Comparisons of the physical quantities are shown in figures to study the effects of gravity, wave number and the real part of the frequency.

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Influence of gravity, magnetic field, and thermal shock on mechanically loaded rotating FGDPTM structure under Green-Naghdi theory

Cited by 14 publications

References 42 publications

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

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

Thermoelastic analysis of semiconducting solid sphere based on modified Moore-Gibson-Thompson heat conduction with Hall Effect

Thermoelastic micro-stretch solid immersed in an infinite inviscid fluid and subject to gravity under three-phase-lag model

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