Thermal stress evolution in continuously quenched circular bars

✍ Scribed by Yimin Ruan

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 641 KB
• Volume: 34
• Category: Article
• ISSN: 0020-7683
• DOI: 10.1016/s0020-7683(96)00235-1

✦ Synopsis

This paper presents a finite element method for studying continuous quenching processes with emphasis on thermal and stress analyses of axisymmetric problems. Both the thermal and stress problems involved in the quenching process are formulated in the Eulerian frame. The heat transfer problem is solved with the Petrov-Galerkin method due to the convetion-diffusion nature of the governing equation. For the thermal stress problem, since the acceleration term in the equation of motion is small, it is neglected and the equilibrium equation is solved. The inelastic deformation associated with the quenching process is modeled .with the visco-plastic type of constitutive laws. To determine the inelastic deformation of the quenched body, the inelastic strain rates are integrated along the quenched body with the Petrov-Galerkin formulation applied to the material derivatives of the inelastic strain rates. An example problem for a continuous bar quenching process is studied with the method presented in this paper. With the present method, computational time needed is significantly less than that with Lagrangian approaches.