On a multi-phase-lag model of coupled thermoelasticity

Zenkour, Ashraf M.; El-Mekawy, H. F.

doi:10.1016/j.icheatmasstransfer.2020.104722

Cited by 21 publications

(4 citation statements)

References 43 publications

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“…Equation (3) with the aid of Equation (2) are the more general ones when

has numerous integers more than zero. Some specific cases may be achieved as Dynamical coupled thermoelasticity (CTE) model [ 4 ]:

and

Lord and Shulman (L–S) model [ 5 ]:

and

Green and Naghdi (G–N) model without energy dissipation [ 12 , 13 , 14 ]:

and

The simple dual-phase-lag (SDPL) model [ 50 , 51 , 52 ]:

and

The refined with dual-phase-lag (RDPL) model [ 50 ...…”

Section: Basic Equationsmentioning

confidence: 99%

See 1 more Smart Citation

Magneto-Thermoelastic Response in an Unbounded Medium Containing a Spherical Hole via Multi-Time-Derivative Thermoelasticity Theories

2022

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This article introduces magneto-thermoelastic exchanges in an unbounded medium with a spherical cavity. A refined multi-time-derivative dual-phase-lag thermoelasticity model is applied for this reason. The surface of the spherical hole is considered traction-free and under both constant heating and external magnetic field. A generalized magneto-thermoelastic coupled solution is developed utilizing Laplace’s transform. The field variables are shown graphically and examined to demonstrate the impacts of the magnetic field, phase-lags, and other parameters on the field quantities. The present theory is examined to assess its validity including comparison with the existing literature.

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“…Equation (3) with the aid of Equation (2) are the more general ones when

has numerous integers more than zero. Some specific cases may be achieved as Dynamical coupled thermoelasticity (CTE) model [ 4 ]:

and

Lord and Shulman (L–S) model [ 5 ]:

and

Green and Naghdi (G–N) model without energy dissipation [ 12 , 13 , 14 ]:

and

The simple dual-phase-lag (SDPL) model [ 50 , 51 , 52 ]:

and

The refined with dual-phase-lag (RDPL) model [ 50 ...…”

Section: Basic Equationsmentioning

confidence: 99%

“…In the current article, magneto-thermoelastic exchanges in an infinite solid with a spherical hole are studied with respect to multi-time-derivative thermoelasticity theories [ 45 , 46 , 47 , 48 , 49 , 50 , 51 , 52 , 53 ]. A refined DPL model is used for this purpose.…”

Section: Introductionmentioning

confidence: 99%

Magneto-Thermoelastic Response in an Unbounded Medium Containing a Spherical Hole via Multi-Time-Derivative Thermoelasticity Theories

2022

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“…which represents one of the modified coupled forms of the heat transport equation presented in [38][39][40][41]. The above equation represents the more general when N has some +ve integers larger than zero.…”

Section: Fundamental Equationsmentioning

confidence: 99%

Thermoelastic Coupling Response of an Unbounded Solid with a Cylindrical Cavity Due to a Moving Heat Source

2021

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The current article introduces the thermoelastic coupled response of an unbounded solid with a cylindrical hole under a traveling heat source and harmonically altering heat. A refined dual-phase-lag thermoelasticity theory is used for this purpose. A generalized thermoelastic coupled solution is developed by using Laplace’s transforms technique. Field quantities are graphically displayed and discussed to illustrate the effects of heat source, phase-lag parameters, and the angular frequency of thermal vibration on the field quantities. Some comparisons are made with and without the inclusion of a moving heat source. The outcomes described here using the refined dual-phase-lag thermoelasticity theory are the most accurate and are provided as benchmarks for other researchers.

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“…Prasad [32] discussed wave propagation in a homogeneous, isotropic, and boundless material produced by a continuous line heat source using the thermoelasticity theory and three-phase-lag. Zenkour and El-Mekawy [33] examined the key features of the dual-and three-phase-lag heat-conducting equations and their implications for the understanding of coupled thermoelasticity models. Biswas et al [34] used three-phase-lag and generalized thermoelasticity theory to handle different heat source reactions in a transversely isotropic hollow cylindrical tube in a magnetic field with rotating behavior.…”

Section: Introductionmentioning

confidence: 99%

Magneto-Thermoelastic Response in an Infinite Medium with a Spherical Hole in the Context of High Order Time-Derivatives and Triple-Phase-Lag Model

Allehaibi

Zenkour

2022

Materials

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The article presents the interactions of magneto-thermoelastic effects in an isotropic material with a spherical cavity. The spherical cavity is expected to be tractionless and subjected to both heat and magnetic fields. The motion equation contains the Lorentz force. Laplace’s transformation methodology is used with a refined multi-time-derivative triple-phase-lag thermoelasticity theory to develop the generalized magneto-thermoelastic coupled solution. Many results were obtained to serve as benchmarks for future comparisons. The effects of time, magnetic field, and electric permittivity under the thermal environment were investigated.

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On a multi-phase-lag model of coupled thermoelasticity

Cited by 21 publications

References 43 publications

Magneto-Thermoelastic Response in an Unbounded Medium Containing a Spherical Hole via Multi-Time-Derivative Thermoelasticity Theories

Magneto-Thermoelastic Response in an Unbounded Medium Containing a Spherical Hole via Multi-Time-Derivative Thermoelasticity Theories

Thermoelastic Coupling Response of an Unbounded Solid with a Cylindrical Cavity Due to a Moving Heat Source

Magneto-Thermoelastic Response in an Infinite Medium with a Spherical Hole in the Context of High Order Time-Derivatives and Triple-Phase-Lag Model

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