Thermoelastic transient response of an infinitely long annular multilayered cylinder

Thermoelastic transient response of multilayered annular cylinders of infin ite lengths subjected to known temperatures at traction-free inner and oute r surfaces are considered. A method based on the Laplace transformation and finite difference method has been developed to analyze the thermoelasticit y problem. Using the Laplace transform with respect to time, the general so lutions of the governing equations are obtained in transform domain. The so lution is obtained by using the matrix similarity transformation and invers e Laplace transform. Solutions for the temperature and thermal stress distr ibutions in a transient state were obtained. It was found that the temperat ure distribution, the displacement and the thermal stresses change slightly as time increases. There is no limit of number of annular layers of the cy linder in the presented computational procedures.