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The Effect of Rotation on 2-D Thermal Shock Problems for a Generalized Magneto-thermo-Elasticity Half-Space Under Three Theories

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The theory of generalized thermoelasticity, based on the Lord-Shulman theory (LS) with one relaxation time and the Green-Naghdi theory (GN) (of type II) without energy dissipation, as well as the classical dynamical coupled theory (CD), is used to study the electromagneto-thermoelastic interactions in a semi-infinite perfectly conducting solid subjected to a thermal shock on its surface. The entire elastic medium is rotating with a uniform angular velocity. There acts an initial magnetic field parallel to the plane boundary of the half-space. The medium deformed because of thermal shock, the rotation and due to the application of the magnetic field. The normal mode analysis is used to obtain the exact expressions for the considered variables. The distributions of the variables considered are represented graphically for two different cases. From the distributions, the wave type heat propagation in the medium can be found. This indicates that the generalized heat conduction mechanism is completely different in essence from the classic Fourier's law. Comparisons are made with the results predicted by the three theories in the presence and absence of rotation and a magnetic field.

Affiliations: 1: Faculty of Science, Department of Mathematics, Zagazig University, P.O. Box 44519, Zagazig, Egypt;, Email: m_i_othman@yahoo.com; 2: CNRS, Laboratoire de Physique et de Métrologie des Oscillateurs, 32 avenue de l'Observatoire, 25044 Besançon Cedex, France, MOE Key Laboratory for Strength and Vibration, School of Aerospace, Xi' an Jiaotong University, Xi' an, 710049, People's Republic of China;, Email: yqsong@mail.xjtu.edu.cn

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