Analytical solution for thermal stresses of laminated hollow cylinders under transient nonuniform thermal loading

Abstract

An analytical solution for the temperature change and thermal stresses for the circumferential transient loading are obtained using finite Hankel and Fourier transform. Numerical calculations are carried out for a two-layered angle-ply hollow cylinder in the different orientation angles with sudden and periodic temperature change with time. The results indicate that the increasing in the angle of orientation in sudden loading, results in all stresses increasing comparing to steady state condition. Further for the sudden loading, the maximum stress is the hoop stress. In a periodic loading the hoop stress is less than the sudden loading and the maximum stress is longitudinal stress. The maximum of shear stresses occur in interface of layers and is constant with time for all conditions.