Magneto-thermoelasticity for an infinite body with a spherical cavity and variable material properties without energy dissipation

The model of generalized thermoelasticity proposed by Green and Naghdi, is applied to study the electromagneto–thermoelastic interactions in an infinite perfectly conducting body with a spherical cavity. The modulus of elasticity are taking as linear function of temperature. By means of the Laplace transform and Laplace inversion, the problem is solved. The closed form solutions for displacement, temperature, and thermal stresses are represented graphically. A comparison is made with the results in the case of temperature-independent.