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Thermoelastic interactions in a rotating infinite orthotropic elastic body with a cylindrical hole and variable thermal conductivity

D.S. Mashat Ashraf M. Zenkour A.E. Abouelregal
Archive of Mechanical Engineering | 2017 | vol. 64 | No 4 | 481-498 | DOI: 10.1515/meceng-2017-0028
Keywords thermoelesticity phase-lags rotation orthotropic cylindrical hole variable thermal conductivity
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Abstract

In the present article, we introduced a new model of the equations of general ized thermoelasticity for unbounded orthotropic body containing a cylindrical cavity. We applied this model in the context of generalized thermoelasticity with phase-lags under the effect of rotation. In this case, the thermal conductivity of the material is considered to be variable. In addition, the cylinder surface is traction free and subjected to a uniform unit step temperature. Using the Laplace transform technique, the distributions of the temperature, displacement, radial stress and hoop stress are determined. A detailed analysis of the effects of rotation, phase-lags and the variability thermal conductivity parameters on the studied fields is discussed. Numerical results for the studied fields are illustrated graphically in the presence and absence of rotation.

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Authors and Affiliations

D.S. Mashat
Ashraf M. Zenkour
A.E. Abouelregal

Two-temperature theory for a heated semi-infinite solid by a pulsed laser radiation

Ashraf M. Zenkour Ahmed E. Abouelregal
Archives of Thermodynamics | 2020 | vol. 41 | No 2 | 85-101 | DOI: 10.24425/ather.2020.133623
Keywords Thermoelasticity Two-temperature Non-Gaussian laser pulse Laser intensity Phase-lags
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Abstract

In this paper, the two-temperature thermoelasticity model is proposed to a specific problem of a thermoelastic semi-infinite solid. The bounding plane surface of the semi-infinite solid is considered to be under a non-Gaussian laser pulse. Generalized thermoelasticity analysis with dual-phase-lags is taken into account to solve the present problem. Laplace transform and its inversion techniques are applied and an analytical solution as well as its numerical outputs of the field variables are obtained. The coupled theory and other generalized theory with one relaxation time may be derived as special cases. Comparison examples have been made to show the effect of dual-phase-lags, temperature discrepancy, laser-pulse and laser intensity parameters on all felids. An additional comparison is also made with the theory of thermoelasticity at a single temperature.

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Authors and Affiliations

Ashraf M. Zenkour
Ahmed E. Abouelregal

Refined multi-phase-lags theory and Thomson effect on a micropolar thermoelastic medium with voids

Amnah M. Alharbi Elsayed M. Abd-Elaziz Mohamed I.A. Othman
Archives of Thermodynamics | 2021 | vol. 42 | No 3 | 279-309 | DOI: 10.24425/ather.2021.138120
Keywords Micropolar Voids Refined-phase-lags theory Thomson effect Normal mode analysis
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Abstract

The problem considered is that of an isotropic, micropolar thermoelastic medium with voids subjected to the Thomson effect. The solution to the problem is presented in the context of the refined multiphase- lags theory of thermoelasticity. The normal mode analysis was used to obtain the analytical expressions of the considered variables. The nondimensional displacement, temperature, microrotation, the change in the volume fraction field and stress of the material are obtained and illustrated graphically. The variations of these quantities have been depicted graphically in the refined-phase-lag theory, Green and Naghdi theory of type II, Lord and Shulman theory and a coupled theory. The effects of the Thomson parameter and phase lag parameters on a homogeneous, isotropic, micropolar thermoelastic material with voids are revealed and discussed. Some particular cases of interest are deduced from the present investigation.
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Bibliography

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Authors and Affiliations

Amnah M. Alharbi
1
Elsayed M. Abd-Elaziz
2
Mohamed I.A. Othman
3
  1. Taif University, Department of Mathematics, College of Science, P.O. Box 11099, Taif, 21944, Saudi Arabia
  2. Ministry of Higher Education, Zagazig Higher Institute of Engineering & Technology, Zagazig, Egypt
  3. Zagazig University, Department of Mathematics, Faculty of Science, P.O. Box 44519, Zagazig, Egypt

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

Mohamed I.A. Othman Ahmed E.E. Abouelregal
Archives of Thermodynamics | 2017 | No 3 | 77-99 | DOI: 10.1515/aoter-2017-0017
Keywords generalized thermo-visco-elasticity two-temperature Non-Gaussian laser pulse laser intensity phase lags Kelvin-Voigt model
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Abstract

The 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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Authors and Affiliations

Mohamed I.A. Othman
Ahmed E.E. Abouelregal

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