Eigenvalue approach to the solution of generalized thermoelastic interactions in an infinite body with cylindrical cavity

Abstract

A generalized thermoelastic problem with temperature- dependent modulus of elasticity and thermal conductivity has been considered in an infinite medium with a cylindrical cavity. After applying Laplace-transformation the basic equations are presented in the form of a vector-matrix differential equation and then are solved by eigen-value method. Finally, the expressions of radial displacement, temperature and stress distribution are shown graphically for two different cases to compare the situations between the temperature-dependent and temperature-independent material properties in the inverse Laplace domain.