HYBRID LAPLACE TRANSFORM FINITE-ELEMENT METHOD FOR TRANSIENT THERMOELASTIC PROBLEM OF COMPOSITE HOLLOW CYLINDER

The transient thermal stresses and temperature distribution of a composite hollow cylinder are investigated theoretically. The cylinder is composed of two different materials and heated by a moving line heat source on its inner boundary and cooled convectively on the exterior surface. The heat source is assumed to be axisymmetric, moving along the axis of the hollow cylinder with constant velocity, and decaying exponentially with time. The hybrid Laplace transform/finite element method is adopted for the solution of this problem. Finally, a numerical scheme, Fourier series technique, is utilized to calculate the inverse transform. The results show that, with the exception of the tangential thermal stress, the positions of the peak values of the temperature and thermal stresses are at exactly the same position as that at which the line heat source is applied. The effects of a number of parameters are also investigated. © 1990.