Transient thermal stress analysis of a multilayered composite laminate cylinder with a uniformly distributed heat suply and [its analytical development to nonhomogeneous materials

Abstract

As one of the analytical models of the thermal stress problem for composite materials, we consider a hollow circular cylinder composed of multilayered composite laminate and discuss the transient thermal stress problems of a hollow cylinder with a uniform heat supply from the outer or inner surface. In studying the analytical developments for a multilayered composite cylinder, we introduce the method of Laplace transform for the temperature field and Airy's stress function method for the thermoelastic field. and then evaluate the temperature and thermal stress distributions in a transient state. Extending the theoretical developments proposed in the present paper to the analysis of a hollow cylinder with nonhomogeneous material properties, we examine the thermal stress distributions and the effect of relaxation of stresss values in nonhomogeneous cylinders made of functionally gradient material.