Elasto/Visco-Plastic Deformation of Shells of Revolution under Thermal Loading due to Fluid

摘要

An analytical method for the elasto/visco-plastic deformation of axisymmetrical thin shells subjected to thermal loads due to fluid is developed. First, the temperature distribution through the thickness is assumed to be a curve of the second order, and the temperature field in the shell under appropriate initial and boundary conditions is determined using the equations of heat conduction and heat transfer. Secondly, the stresses and deformations are derived from the thermal stress equations. The equations of equilibrium and the relationships between the strains and displacements are derived from the Sanders elastic shell theory. For the constitutive relations, the Perzyna elasto/visco-plastic equations which consider the temperature effect are employed. The fundamental equations derived are numerically solved using the finite difference method. As a numerical example, a simply supported internally pressurized cylindrical shell of aluminum under thermal loading due to fluid is analyzed, and the variations in displacements and internal forces with time are discussed.