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1 2011

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Reflection of magneto-thermo-elastic waves from a rotating elastic half-space in generalized thermoelasticity under three theories

Othman M. I. A., Song Y.

Mechanics and Mechanical Engineering

2011

Vol. 15, nr 1

5-24

The model of the equations of generalized magneto-thermoelasticity based on Lord-Shulman theory (LS) with one relaxation time, Green-Lindsay theory (GL) with two relaxation times, as well as the classical dynamical coupled theory (CD), is used to study the electro-magneto-thermoplastic interactions in a semi-infinite perfectly conducting solid. The entire elastic medium is rotating with a uniform angular velocity. There an initial magnetic field acts parallel to the plane boundary of the half-space. Reflection of magneto-thermoplastic waves under generalized thermoelasticity theory is employed to study the reflection of plane harmonic waves from a semi-infinite rotating elastic solid in a vacuum. The expressions for the reflection coefficients, which are the relations of the amplitudes of the reflected waves to the amplitude of the incident waves, are obtained. Similarly, the reflection coefficients ratios variation with the angle of incident under different conditions are shown graphically. Comparisons are made with the results predicted by the three theories in the presence and absence of rotation.