Abstract
Present work deals with the problem of an infinite long hollow cylinder with variable thermal conductivity in the context of generalized thermo-viscoelasticity theory with thermal relaxation. A mapping of Kirchhoff's transformation was used to solve a problem with variable thermal conductivity. The Laplace transform is used. The inversion process is carried out using a numerical method based on Fourier series expansions. Numerical computations for the temperature, the displacement and the stress distributions are carried out and represented graphically. The results indicate that the thermal conductivity play a major role in all considered distributions.
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