Generalized Magnetothermoelasticity for Isotropic Media.

The theory of generalized magnetothermoelasticity is applied to a two-dimensional problem of a homogeneous isotropic perfectly conducting thick plate with heat source subjected to a time-dependent compression under constant magnetic and electric intensities. Double integral transforms (Laplace transform for time variable and Fourier transform for space variable) are used, and the resulting equations are written in the form of a vector-matrix differential equation, which was solved by the eigenvalue approach. The inversion of the Laplace transform is carried out numerically by the Zakian method. Finally, numerical computations of the displacement and stress components, temperature distribution, induced magnetic and electric fields have been done and are represented graphically. [ABSTRACT FROM AUTHOR]