A Modified Coupling Method to Solve the Integrated Equations of Velocity and Temperature Fields in 3D FEM

Abstract

During the rolling process, temperature is an important factor that affects the die and the work-piece in metal forming procedure. The metal deformation is often carried along with the variety of temperature. Moreover, mechanical energy of plastic deformation is converted into heat during the metal deformation process. Thus, it is necessary to couple the deformation and thermal behaviors in an integrated manner in numerical simulation so as to improve the simulation accuracy. In this paper, we use a 3D rigid-plastic Finite Element Method (FEM) to simulate the hot rolling process by coupling the thermal effects. Based on the 3D FEM model, integrated equations of coupling velocity and temperature fields are formulated. The uniform of integrated equations is obtained by re-indexing the combination sequences and then a modified coupling method is proposed to solve the resulted equations. The numerical experiments are carried on the real data collected from a steel plant. A good agreement between the numerical result and measured value shows the availability of the proposed coupling method.