Thermoelastic problem for shells of revolution exhibiting temperature dependent properties

Summary Analysis of the axially symmetric steady state thermoelastic problem for thin shells of revolution is given, assuming temperature dependent elastic and thermal properties of the material. Three governing equations are established involving components of the displacement along and normal to the meridian as well as the shearing force.A multi-parameter perturbation scheme is used with two perturbation parameters, one associated with the shear modulus and the other with Poisson's ratio.Illustrative examples are solved concerning cylindrical, conical and spherical shells as well as compound shells, such as spherico-conical, conicocylindrical and conico-conical.The results presented in this paper are taken from a thesis by the first author submitted in partial fulfilment of the requirements for the Ph. D. degree at the University of Delaware. The research was supported by a grant of the National Science Foundation.