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Finite element analysis of two-temperature generalized magneto-thermoelasticity
Authors:Ibrahim A. Abbas  Hamdy M. Youssef
Affiliation:(1) Department of Mathematics, Faculty of Science, Sohag University, Sohag, 82524, Egypt;(2) Mathematical Department, Faculty of Education, Alexandria University, Alexandria, Egypt;(3) Present address: Faculty of Engineering, Umm Al-Qura University, P.O. 5555, Mecca, Saudi Arabia
Abstract:A general finite element model is proposed to analyze transient phenomena in thermoelastic solids. Youssef model of two-temperature generalized magneto-thermoelasticity is selected for an homogenous, isotropic, conducting and elastic medium, which is subjected to thermal shock, and a magnetic field with constant intensity acts tangent to the bounding plane. The numerical solution of the nondimensional governing partial differential equations of the problem has been shown graphically.
Keywords:Thermoelasticity  Two-temperature  Generalized thermoelasticity  Finite element method
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