流体加熱を受ける厚肉回転対称殻の熱弾/粘塑性変形

抄録

This paper is concerned with an analytical formulation and a numerical solution of the thermo-elasto/visco-plastic deformation of general, moderately thick shells of revolution subjected to thermal loads due to fluid. Firstly, the temperature distribution through the thickness is assumed to be a curve of the second order, and the temperature field in the shell under the 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 relations between the strains and displacements are developed by extending the Reissner-Naghdi theory for elastic shells. For the constitutive relations, the Perzyna elasto/visco-plastic equations including the temperature effect are employed. The fundamental equations derived are numerically solved by the finite difference method. As a numerical example, a simply supported cylindrical shell made of mild steel under thermal loading due to fluid is analyzed, and the results are compared with those from classical theory, which neglects the effect of shear deformation.