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Rotation and gravitational field effect on two-temperature thermoelastic material with voids and temperature dependent properties type III

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Abstract

This paper studies the two dimensional problem of thermoelastic rotating material with voids under the effect of the gravity and the temperature dependent properties employing the two-temperature generalized thermoelasticity in the context of Green-Naghdi (G-N) theory of types II and III. The normal mode method is used to obtain the exact expressions for the physical quantities which have been shown graphically. The comparisons have been made in the presence and the absence of the rotation, the gravity, the temperature dependent properties and the two-temperature effect.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt

    Mohamed I. A. Othman & Mohamed I. M. Hilal

  2. Department of Mathematics, Faculty of Science, Taif University, 888, Taif, Saudi Arabia

    Mohamed I. A. Othman

Authors
  1. Mohamed I. A. Othman
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  2. Mohamed I. M. Hilal
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Correspondence to Mohamed I. A. Othman.

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Recommended by Associate Editor Seong Beom Lee

Mohamed I. A. Othman recivied his B.Sc. in mathematics, Egypt, in 1980. He then recivied his M. Sc. and Ph.D. degrees from Faculty of Science, Zagazig university in applied mathematics in 1987 and 1994, respectively. He is a member in the American Mathematical Society, a member in the Egyptian Mathematical Societ, editor of World Journal of Mechanics. Considered for inclusion in World Marquis’ Who’s Who in the World, 2012 (29th Edition). Considered for inclusion in Who’s Who in the Thermal-Fluid, 2011. Considered for inclusion in the Encyclopedia of Thermal Stresses 2011. An Associated Editor of ISRN Applied Mathematics. Reviewer for the 60 International Journals. His research interests include: Finite element method, fluid mechanics, thermoelasticity, magnetothermoelasticity, thermoelastic diffusion, fiber-reinforced, thermoviscoelastic and heat and mass transfer. Have about 170 published papers in the previous fields. Prof. Mohamed I. A. Othman is currently a proffesor of applied mathematics in faculty of scince, Taief university in Saudi Arabia.

Mohamed I. M. Hilal recivied his B.Sc. in mathematics, Egypt, in 2005. He then recivied his M.Sc. degree from Faculty of Science, Zagazig university in applied mathematics in 2014. Saudi Arabia. His research interests include: Thermoelasticity, thermoelastic diffusion, micropolar thermoelasic, thermo-viscoelastic, thermoelasticity with voids and thermoelasticity with microtemperatures. Have about 9 published papers in the previous fields. Mohamed I. M. Hilal is currently asisstant lecturer of applied mathematics in faculty of scince, Zagazig university, Egypt.

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Othman, M.I.A., Hilal, M.I.M. Rotation and gravitational field effect on two-temperature thermoelastic material with voids and temperature dependent properties type III. J Mech Sci Technol 29, 3739–3746 (2015). https://doi.org/10.1007/s12206-015-0820-8

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  • DOI: https://doi.org/10.1007/s12206-015-0820-8

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