A Problem In Magneto-Thermoelasticity For A Hollow Circular Cylinder With Thermal Relaxation

Abstract

The problem of an infinitely long annular cylinder whose inner surface is thermally insulated and whose outer surface is kept at a constant temperature is considered in the presence of an axial uniform magnetic field. The surfaces of the cylinder are taken to be traction free The problem is in the context of generalized magneto-thermoelasticity theory with one relaxation time. The Laplace transform with respect to time is used. The inversion process is carried out using a numerical method based on a Fourier series expansion. Numerical computations for the temperature, displacement and stress distributions as well as for the induced magnetic and electric fields are carried out and represented graphically.