Thermal Gradient-Induced Deflection of a Thick-Walled Cylinder with BendingResidual Stresses

摘要

The interaction of a thermal gradient with bending residual stresses in a thick-walled cylinder is investigated using experimental measurements from prior work, mechanics analysis, and finite element stress analysis. A temperature gradient is applied to a cylinder containing residual stresses due to plastic bending resulting in transient elastic relaxation of the nonaxisymmetric residual stresses and bending of the cylinder. Analysis of the well-known similar problem in a rectangular bar is done first using solid mechanics solutions of ideal cases. Finite element calculations are made of the residual stresses following plastic bending of a thick-walled cylinder, the effects of a temperature distribution, and the resultant changes in stresses and strains and the associated tube bending. Results from the two approaches for a 200 deg C temperature gradient show a maximum angular displacement of 0.004 to 0.008 deg/m and the displacement returning to zero as the thermal gradient diminishes with time Thermal Gradient, Thermal Stress, Thick-Walled Cylinder, Residual Stress, Finite Element Analysis.