Exact solutions for functionally graded anisotropic cylinders subjected to thermal and mechanical loads

The thermomechanical states in a class of functionally graded cylinders under extension, torsion, shearing, pressuring, and temperature changes are studied. Referred to the cylindrical coordinates, the material is cylindrically anisotropic. The only material symmetry is reflectional symmetry with respect to the cylindrical surfaces r = constant. The material properties are considered to be radial dependent such that the conductivity coefficients, the thermal coefficients as well as the elastic constants depend in a specific manner on r. Exact solutions for the temperature distribution, thermoelastic deformations and stress fields are determined for inhomogeneous hollow and solid cylinders, with power law dependence of the moduli, subjected to an axial force and a torque at the ends and the surface loads that may vary circumferentially but not axially. In addition, exact solutions for thermoelastic responses of rotating cylinders are obtained within the context. (C) 2001 Elsevier Science Ltd. All rights reserved.