Normal mode analysis of generalized magneto-thermoelastic medium with in-itial stress under green-naghdi theory

Abstract EN

The normal mode analysis method was used to study the effect of both the initial stress and the magnetic field on a thermally elastic body.

This method is used to obtain the exact expres-sions for the considered variables.

Some particular cases are also discussed in the context of the problem.

The generalized thermal elasticity equations were reviewed under the influence of the basic initial stress and the magnetic field using the theory (Green-Naghdi) of the second and third types (the second type with no energy dispersion and the third type with energy dispersion).

The different physical quantities were illustrated in the presence and absence of both the initial stress and the magnetic field.

The results of this research show the extent of difference between the sec-ond and third types of Green and Naghdi's theory.

All results and figures were obtained using (MATLAB R2013a) program.