Effect of two-temperature on the energy ratios at the elastic–piezothermoelastic interface with phase lags

A two-temperature theory of the generalized thermoelasticity is proposed to study the effect of temperature dependence on a semi-infinite medium. The surface of bounding plane of the medium is under a non-Gaussian laser pulse. Lamé’s coefficients and the thermal conductivity are supposed as temperature-dependent linear functions. The dual-phase-lags (DPLs) theory of the generalized thermoelasticity is applied to treat with the present problem. The analytical solution for different boundary conditions may be deduced by using Laplace transform technique. The numerical results are obtained by using the inverse of Laplace transforms. The comparisons have been graphically presented to show the effects of PLs, temperature discrepancy, laser pulse and laser intensity parameters on field quantities. Also, the results are compared with those obtained from the mechanical and thermal material properties with the temperature independence.

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Two-temperature dual-phase-lags theory in a thermoelastic solid half-space due to an inclined load

Mechanical Sciences ◽

10.5194/ms-7-179-2016 ◽

2016 ◽

Vol 7 (2) ◽

pp. 179-187

Author(s):

Ashraf M. Zenkour ◽

Ahmed E. Abouelregal ◽

Khaled A. Alnefaie ◽

Nidal H. Abu-Hamdeh ◽

Abdulmalik A. Aljinaidi ◽

...

Keyword(s):

Half Space ◽

Mode Analysis ◽

Dual Phase ◽

Horizontal Distance ◽

Inclined Load ◽

Special Cases ◽

Wide Range ◽

Significant Difference ◽

Phase Lags ◽

Two Temperature

Abstract. This article addresses the thermoelastic interaction due to inclined load on a homogeneous isotropic half-space in context of two-temperature generalized theory of thermoelasticity with dual-phase-lags. It is assumed that the inclined load is a linear combination of both normal and tangential loads. The governing equations are solved by using the normal mode analysis. The variations of the displacement, stress, conductive temperature, and thermodynamic temperature distributions with the horizontal distance have been shown graphically. Results of some earlier workers have also been deduced from the present investigation as special cases. Some comparisons are graphically presented to estimate the effects of the two-temperature parameter, the dual-phase-lags parameters and the inclination angle. It is noticed that there is a significant difference in the values of the studied fields for different value of the angle of inclination. The method presented here maybe applicable to a wide range of problems in thermodynamics and thermoelasticity.

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Wave propagation in an initially stressed rotating thermo-diffusive medium with two-temperature and micro-concentrations

International Journal of Numerical Methods for Heat &amp Fluid Flow ◽

10.1108/hff-05-2020-0305 ◽

2020 ◽

Vol ahead-of-print (ahead-of-print) ◽

Author(s):

Devender Sheoran ◽

Ramesh Kumar ◽

Sunil Kumar ◽

Kapil Kumar Kalkal

Keyword(s):

Plane Waves ◽

Generalized Thermoelasticity ◽

Angle Of Incidence ◽

Amplitude Ratios ◽

Conservation Of Energy ◽

Content Type ◽

Reflected Waves ◽

Diffusive Medium ◽

Energy Ratios ◽

Two Temperature

Purpose The purpose of this paper is to study the reflection of plane waves in an initially stressed rotating thermoelastic diffusive medium with micro-concentrations and two-temperature. Design/methodology/approach A two-dimensional model of generalized thermoelasticity is considered. The governing equations are transformed into the non-dimensional forms using the dimensionless variables. Then, potential functions are introduced for the decoupling of the waves. Further, appropriate boundary conditions are assumed to completely solve the problem. Finally, numerical computations are performed using MATLAB. Findings The problem is solved analytically and it is found that there exist five coupled waves in addition to an independent micro-concentration wave in the considered medium. The amplitude ratios and energy ratios of these reflected waves have also been computed numerically for a specific material. Originality/value The modulus values of amplitude ratios are presented graphically to exhibit the effects of angular velocity, initial stress, two-temperature, diffusion and micro-concentration parameters. The expressions of energy ratios obtained in explicit form are also depicted graphically as functions of angle of incidence. The law of conservation of energy at the free surface during reflection phenomenon is also verified.

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The Reflection of Magneto-Thermoelastic P and SV Waves at a Solid Half Space Using Dual-Phase-Lag Model

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.11-m1101 ◽

2011 ◽

Vol 3 (6) ◽

pp. 745-758

Author(s):

Ahmed E. Abouelregal

Keyword(s):

Reflection Coefficients ◽

Transfer Model ◽

Phase Lag ◽

Dual Phase ◽

Angle Of Incidence ◽

Lag Model ◽

Phase Lags ◽

Energy Ratios ◽

Thermoelastic Solid ◽

P And Sv Waves

AbstractThe dual-phase-lag heat transfer model is employed to study the reflection phenomena of P and SV waves from a surface of a semi-infinite magneto-thermoelastic solid. The ratios of reflection coefficients to that of incident coefficients are obtained for P- and SV-wave cases. The results for partition of the energy for various values of the angle of incidence are computed numerically under the stress-free and rigidly fixed thermally insulated boundaries. The reflection coefficients are depending on the angle of incidence, magnetic field, phase lags and other material constants. Results show that the sum of energy ratios is unity at the interface. The results are discussed and depicted graphically.

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Two-temperature thermoelastic model without energy dissipation including higher order time-derivatives and two phase-lags

Materials Research Express ◽

10.1088/2053-1591/ab447f ◽

2019 ◽

Vol 6 (11) ◽

pp. 116535 ◽

Cited By ~ 8

Author(s):

Ahmed E Abouelregal

Keyword(s):

Energy Dissipation ◽

Higher Order ◽

Two Phase ◽

Thermoelastic Model ◽

Phase Lags ◽

Without Energy Dissipation ◽

Two Temperature

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On the Theory of Two-Temperature Thermoelasticity with Two Phase-Lags

Journal of Thermal Stresses ◽

10.1080/01495739.2010.550815 ◽

2011 ◽

Vol 34 (4) ◽

pp. 352-365 ◽

Cited By ~ 15

Author(s):

Santwana Mukhopadhyay ◽

Rajesh Prasad ◽

Roushan Kumar

Keyword(s):

Two Phase ◽

Phase Lags ◽

Two Temperature

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The effect of pulsed laser radiation on a thermoviscoelastic semi-infinite solid under two-temperature theory

Archives of Thermodynamics ◽

10.1515/aoter-2017-0017 ◽

2017 ◽

Vol 38 (3) ◽

pp. 77-99 ◽

Cited By ~ 5

Author(s):

Mohamed I. Othman ◽

Ahmed E.E. Abouelregal

Keyword(s):

Laser Pulse ◽

Plane Surface ◽

Generalized Thermoelasticity ◽

Pulsed Laser Radiation ◽

Thermoelasticity Theory ◽

Intensity Parameters ◽

Laplace Transform Technique ◽

Phase Lags ◽

Non Gaussian ◽

Two Temperature

AbstractThe purpose of this paper is to study the thermoviscoelastic interactions in a homogeneous, isotropic semi-infinite solid under two-temperature theory with heat source. The Kelvin-Voigt model of linear viscoelasticity which describes the viscoelastic nature of the material is used. The bounding plane surface of the medium is subjected to a non-Gaussian laser pulse. The generalized thermoelasticity theory with dual phase lags model is used to solve this problem. Laplace transform technique is used to obtain the general solution for a suitable set of boundary conditions. Some comparisons have been shown in figures to estimate the effects of the phase lags, viscosity, temperature discrepancy, laser-pulse and the laser intensity parameters on all the studied fields. A comparison was also made with the results obtained in the case of one temperature thermoelasticity theory.

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