A novel analytical model based on arc tangent velocity field for prediction of rolling force in strip rolling

Accurate prediction of rolling force is an effective method to improve strip quality in rolling process. To achieve this goal, a novel arc tangent velocity field model based on the upper bound method is proposed to evaluate the rolling force. The mathematical expression of rolling force is derived from the virtual work principle and maximum plastic work principle. Comparing the experimental results with the proposed analytical model prediction, it has been found that this model is good for estimation of rolling force. Meanwhile, the finite element method is also used to simulate the rolling process to verify the validity of the analytical model. It is shown that this model can be used for prediction of rolling force in practice.