![]() | Only 14 pages are availabe for public view |
Abstract An analysis of axially symmetric steady state thermoelastic problem for thin shells of revolution is made assuming shear modulus, Poisson’s ratio, coefficient of linear thermal expansion and coefficient of thermal conductivity to be termperature dependent. The analysis is based on the Love—Kirchhoff’ s hypothesis of bending of shells within the scope of the linear theory of thin shells. Three therxnoelastic governing equations are derived, valid for any geometry of the shell, and involving displacement components along the meridian and the normal to the wall as well as the shearing force. The temperature field equation involves a linear variation of conductivity with temperature. The method of solution is associated with the multi—parameter perturbation scheme using two different perturbation parameters: one concerning the shear modulus and the other Poisson’s ratio. The general theory is specialized to problems involving cylindrical, conical and spherical shells as well as compound shells: spherico—conical, conico—cylindrical and conico—conical. Illustrative examples concerning a cylinder, a cone and a compound nose cone are t4orked out in detail assuming graphite as material of the shells and linear variation of the mechanical and thermal properties with temperature. |