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Mechanical Sciences An open-access journal for theoretical and applied mechanics
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Volume 7, issue 2
Mech. Sci., 7, 179-187, 2016
https://doi.org/10.5194/ms-7-179-2016
© Author(s) 2016. This work is distributed under
the Creative Commons Attribution 3.0 License.
Mech. Sci., 7, 179-187, 2016
https://doi.org/10.5194/ms-7-179-2016
© Author(s) 2016. This work is distributed under
the Creative Commons Attribution 3.0 License.

Research article 22 Aug 2016

Research article | 22 Aug 2016

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

Ashraf M. Zenkour1,2, Ahmed E. Abouelregal3,4, Khaled A. Alnefaie5, Nidal H. Abu-Hamdeh5, Abdulmalik A. Aljinaidi5, and Elias C. Aifantis5,6,7,8 Ashraf M. Zenkour et al.
  • 1Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
  • 2Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt
  • 3Department of Mathematics, College of Science and Arts, University of Aljouf, El-Qurayat, Saudi Arabia
  • 4Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
  • 5Department of Mechanical Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia
  • 6School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu, China
  • 7Laboratory of Mechanics and Materials, Polytechnic School, Aristotle University of Thessaloniki, Thessaloniki, Greece
  • 8Michigan Technological University, Houghton, Michigan, USA and ITMO University, St. Petersburg, Russia

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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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. 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.
This article addresses the thermoelastic interaction due to inclined load on a homogeneous...
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