Thermal Elasto/Visco-Plastic Deformation of Multi-Layered Moderately Thick Shells of Revolution under Thermal Loading due to Fluid

This paper is concerned with an analytical formulation and a numerical solution of the thermal elasto/visco-plastic deformation of multi-layered moderately thick shells of revolution subjected to thermal loads due to fluid. The temperature distribution through each layer thickness is assumed to be a quadratic curve and is determined using the equations of heat conduction and heat transfer. The equations of equilibrium and the relations between the strains and displacements are derived from the Reissner-Naghdi theory. For the constitutive relations, the Perzyna equations are employed. As numerical examples, two-layered cylindrical shells composed of mild steel and titanium subjected to locally distributed thermal loads due to fluid are analyzed. The results show that the present method gives correct initial responses and that temperature distributions, stress distributions and deformations are significantly varied depending on the ratio of the thickness of the titanium layer to the shell thickness.