Thermoelastoplastic Stresses in a Rotating Disk of Temperature Dependent Properties With Temperature Gradient

Abstract

There are numerous situations in industry where rotating disks are subjected to cyclic thermal loading. If the operating thermal loading remain in the shakedown region, no plastic deformation occur and the system works safely. However, depending on the speed of cooling and other operating situations, inelastic deformation and incremental growth of the structure in question may occur. This may lead to the incremental deformation, and eventually incremental collapse of the mechanical components. Accordingly. it is essential to develop a numerical method to predict the ine|astic response of mechanical components to the thermal or thermo-mechanical loading. Analysing the aformentioned problems is quit complex, accordingly in this reaserch effort we begin with a simple case. In this paper a numerical method is presented for estimating the thermoelatoplastic stresses developed in a rotating disk, subjected to temperature gradient. The disk’s temperature in the radial direction varies from 100 °F temperature to 1500 °F. The steady state temperature distribution is evaluated using the familiar Carslaw and Jeagar equations. For inelastic behavior of the disk a combined analytical and numerical method is presented. The properties of the material are assumed to be temperature dependent. The material is also assumed to be characterized by nonlinear strain hardening. For this analysis a quasi static uncoupled thermoelastoplastic solution is presented. The problem is also solved for a case when the properties of material are not function of temperature. The effect of temperature dependency of the material on the results is investigated.