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Generalized electro-magneto-thermoelasticity in case of thermal shock plane waves for a finite conducting half-space with two relaxation times

Othman M. I. A.

Mechanics and Mechanical Engineering

2010

Vol. 14, nr 1

5-30

The propagation of electromagneto-thermoelastic disturbances produced by a thermal shock in a finitely conducting elastic half-space is investigated. The formulation is applied to two-dimensional equations of generalized thermoelasticity Green and Lindsay's theory with two relaxation times. There acts an initial magnetic field parallel to the plane boundary of the half-space. The medium deformed because of thermal shock and due to the application of the magnetic field, there result an induced magnetic and an induced electric field in the medium. The Maxwell's equations are formulated and the electromagneto-thermoelastic coupled governing equations are established. The normal mode analysis is used to obtain the exact expressions for the considered variables. The distributions of the considered variables are represented graphically for different values of times. From the distributions, it can be found the wave type heat propagation in the medium. This indicates that the generalized heat conduction mechanism is completely different from the classic Fourier's in essence. In generalized thermoelasticity theory heat propagates as a wave with finite velocity instead of infinite velocity in medium.

Effect of Rotation in Case of 2-D Problem of the Generalized Thermo-viscoelasticity with Two Relaxation Times

Othman M. I. A.

Mechanics and Mechanical Engineering

2009

Vol. 13, nr 2

105-127

In this paper, a two-dimensional problem of thermoviscoelasticity with two relaxation times when the entire medium rotates with a uniform angular velocity is studied. The normal mode analysis is used to obtain the exact expressions for the temperature, displacement and thermal stress components. The resulting formulation is applied to the case of a thick plate subjected to a time-dependent heat source on each face. Numerical results are given and illustrated graphically. Comparisons are made with the results predicted by the coupled theory and with the theory of generalized thermoelasticity with two relaxation times in the absence of rotation and for different values of time.