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Advances in Aircraft and Spacecraft Science Volume 4, Number 6, October 2017 , pages 711-727 DOI: https://doi.org/10.12989/aas.2017.4.6.711 |
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Two-temperature thermoelastic surface waves in micropolar thermoelastic media via dual-phase-lag model |
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A. E. Abouelregal and A. M. Zenkour
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| Abstract | ||
| This article is concerned with a two-dimensional problem of micropolar generalized thermoelasticity for a half-space whose surface is traction-free and the conductive temperature at the surface of the half-space is known. Theory of two-temperature generalized thermoelasticity with phase lags using the normal mode analysis is used to solve the present problem. The formulas of conductive and mechanical temperatures, displacement, micro-rotation, stresses and couple stresses are obtained. The considered quantities are illustrated graphically and their behaviors are discussed with suitable comparisons. The present results are compared with those obtained according to one temperature theory. It is concluded that both conductive heat wave and thermodynamical heat wave should be separated. The two-temperature theory describes the behavior of particles of elastic body more real than one-temperature theory. | ||
| Key Words | ||
| thermoelasticity; thermoelastic plane waves; micropolar material; two temperatures theory; heat transfer | ||
| Address | ||
| A. E. Abouelregal: Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt A. M. Zenkour: 1) Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia 2) Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt | ||
