Open Access

ARTICLE

The Influence of Gravitational Field on Generalized Thermoelasticity with Two-Temperature under Three-Phase-Lag Model

Mohamed I. A. Othman^1,2,3, W. M. Hasona^2,4, Nehal T. Mansour^2,5

1 Department of Mathematics, Faculty of Science, Taif University 888, Saudi Arabia.
2 Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt.
3 E-mail: m_i_a_othman@yahoo.com
4 E-mail: wahedhasona@yahoo.com
5 E-mail: nehal.tarek23@yahoo.com

Computers, Materials & Continua 2015, 45(3), 203-220. https://doi.org/10.3970/cmc.2015.045.203

Abstract

The problem of the generalized thermoelastic medium for three different theories under the effect of a gravitational field is investigated. The Lord- Shulman, Green-Naghdi III, three-phase-lag theories are discussed with twotemperature. The normal mode analysis is used to obtain the analytical expressions of the displacement components, force stress, thermodynamic temperature and conductive temperature. The numerical results are given and presented graphically, when the thermal force is applied. Comparisons are made with the results predicted by three-phase-lag model, Green-Naghdi III and Lord-Shulman theories in the presence and absence of gravity as well as two temperature.

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Keywords

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