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The Effect of Magnetic Field and Thermal Relaxation Time on Three Dimensional Thermal Shock Problem in Generalized Thermoelasticity

Mohamed IA Othman , Sarhan Y Atwa , Ahmed W Elwan

The purpose of this paper is to scrutinize the effect of magnetic field and thermal relaxation time on a general three-dimensional model of the equations of generalized magneto-thermoelasticity in a homogeneous, isotropic, thermally and perfectly conducting elastic half-space solid whose surface is subjected to a thermal shock in the context of the Lord-Shulman theory. The normal mode analysis is used to obtain the expressions for the displacement, thermal stress, strain and temperature. Some comparisons displayed graphically to illustrate the effects of magnetic field and relaxation time on the physical quantities. Such problems are very important in many dynamical systems and some particular cases of special interest have been deduced from the present investigation.