ELASTO VISCO-PLASTIC DEFORMATION OF SHELLS OF REVOLUTION UNDER THERMAL LOADING DUE TO FLUID/

An analytical method for the elasto/visco-plastic deformation of axisy mmetrical thin shells subjected to thermal loads due to fluid is devel oped. First, the temperature distribution through the thickness is ass umed to be a curve of the second order, and the temperature field in t he shell under appropriate initial and boundary conditions is determin ed using the equations of heat conduction and heat transfer. Secondly, the stresses and deformations are derived from the thermal stress equ ations. 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-plast ic equations which consider the temperature effect are employed, The f undamental equations derived are numerically solved using the finite d ifference method. As a numerical example, a simply supported internall y 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.