Abstract

The present paper is concerned with a homogeneous isotropic perfect conducting viscoelastic body with a spherical cavity subjected to both ramp-type heating and external constant magnetic field. The model of the equations in the context of generalized thermoelasticity with one relaxation time is introduced. The closed form solution for distributions of displacement; temperature, strain, and stress are obtained by using the Laplace transform and the state-space approach. Numerical results applicable to a material - like copper are presented graphically.

Key words: Thermoelasticity, magneto-thermo-viscoelasticity, Lord-Shulman theory, state space approach.