On‐line calculation models of temperature and thermal stresses in a 2‐D axis‐symmetric object during heat treating

Abstract

This paper presents the analytical calculation models of temperature and thermal stresses in a 2-D axis-symmetric object during heat treating. Complicated geometries can be taken into account using Green's function method. The models can deal with some nonlinear factors such as temperature-dependent properties using perturbation method. One case has been given to compare the results calculated by the models deduced with those calculated by FEM (finite element method). It is shown that the models presented in this work have satisfactory accuracy. Another case shows an application of a water quenching process. Combining the presented mathematical models, real-time controls of quenching and controlled cooling can be accomplished with greatly improved accuracy.