The theoretical model of the effective strain establishment for the plate during the snake rolling

• Published in: International journal of advanced manufacturing technology 2023-10, Vol.128 (11-12), p.4763-4775
• Main Authors: Jiang, Lian-Yun, Yang, Ruo-Wen, Xue, Zhi-Wei, Ma, Qi-Qi, Huang, Zhi-Quan
• Format: Article
• Language: English
• Subjects: CAE) and Design; Computer-Aided Engineering (CAD; Continuum mechanics; Engineering; Finite element analysis; Finite element method; Friction; Industrial and Production Engineering; Industrial applications; Kinematics; Mathematical models; Mechanical Engineering; Media Management; Model accuracy; Original Article; Plastic deformation; Principles; Process parameters; Shear deformation; Skewed distributions
• ISSN: 0268-3768; 1433-3015
• DOI: 10.1007/s00170-023-12085-7

The snake rolling for the heavy plate rolling has been verified that it can refine the grain and solve the problem of insufficient deformation in the center of the plate to some extent. The effective strain along the thickness is mainly obtained by the finite element method and the experiments which cost a long time and great material resources. A theoretical model of the effective strain is required to solve the problem. The metal flow model including the shear deformation is established according to the actual asymmetric distribution of stress and strain in the deformation zone. The parabolic roll gap inlet boundary equation is proposed according to the kinematic characteristics of plate rolling. The plastic deformation power, shear power, and friction power models are established according to the first variational principle of the rigid plasticity and the principle of virtual velocity. The analytic model to calculate the effective strain of the snake rolling has been established by the principle of minimum energy and the theory of continuum mechanics. Through analytic calculation, it is found that under the same working conditions, the deformation power contributes the most to the plastic deformation, which is about 60%, followed by the friction power, which is about 30%. The main factor affecting the deformation power is the rolling reduction. So improving the friction power is a good way to improve the effective strain when the rolling reduction cannot be increased again. The model accuracy has also been verified by the finite element method and the experiments. The minimum and the maximum relative error is 1.33% and 13.44%, which is acceptable for industrial applications. This research will provide an important guidance for the process and process parameter setup.