EIGENVALUE APPROACH TO STUDY THE EFFECT OF ROTATION IN THREE DIMENSIONAL PROBLEM OF GENERALIZED THERMOELASTICITY

摘要

This paper deals with the thermoelastic interactions due to heat source in a homogeneous isotropic and unbounded rotating elastic medium in the context of generalized thermoelasticity. Integral transform techniques are adopted, namely: the Laplace transform for the time variable and the exponential Fourier transform for two of the space variables to the basic equations of the generalized thermoelasticity and finally the resulting equations are written in the form of a vector-matrix differential equation which is then solved by the eigenvalue approach. Exact expressions for the temperature distribution, thermal stresses and displacement components are obtained in the Laplace-double Fourier transform domain. A numerical approach is implemented for the inversion of the Laplace transform and double Fourier transforms in order to obtain the solution in physical domain. Finally, numerical computations of the stresses and temperature have been made and presented graphically.