EIGENVALUE APPROACH TO STUDY THE EFFECT OF THERMOELASTIC INTERACTIONS DUE TO ROTATION, RELAXATION AND INSTANTANEOUS POINT HEAT SOURCE IN THREE DIMENSIONS IN GENERALIZED THERMOELASTICITY

摘要

The theory of generalized thermoelasticity with two relaxation parameters in three dimensions is employed to determine the distribution of temperature and stresses in infinite rotating medium having an instantaneous point heat source at the origin. Laplace transform along with two double Fourier transforms have been applied in the governing equations of coupled thermoelasticity and the resulting equations have been written in the form of a Vector-Matrix differential equation which has finally been solved by the eigenvalue approach. The results have been compared to those available in the existing literature. Numerical computations of temperature and stresses have been made and presented.