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

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Abstract

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.

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Funding

The authors gratefully appreciate the financial support by the National Natural Science Foundation of China under Grant 51804206 and the Major Science and Technology Projects in Shanxi under Grant 20181102016.

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Authors and Affiliations

  1. School of Mechanical Engineering, Taiyuan University of Science and Technology, Taiyuan, 030024, People’s Republic of China

    Lian-Yun Jiang, Ruo-Wen Yang, Zhi-Wei Xue, Qi-Qi Ma & Zhi-Quan Huang

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  1. Lian-Yun Jiang
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  2. Ruo-Wen Yang
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  3. Zhi-Wei Xue
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  4. Qi-Qi Ma
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  5. Zhi-Quan Huang
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Contributions

Lian-Yun Jiang: conceptualization; writing—original draft preparation; visualization; project administration.

Ruo-Wen Yang: writing—original draft preparation; visualization.

Zhi-Wei Xue and Qi-Qi Ma: writing—review and editing; supervision.

Zhi-Quan Huang: writing—review and editing; supervision.

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Correspondence to Ruo-Wen Yang.

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Jiang, LY., Yang, RW., Xue, ZW. et al. The theoretical model of the effective strain establishment for the plate during the snake rolling. Int J Adv Manuf Technol 128, 4763–4775 (2023). https://doi.org/10.1007/s00170-023-12085-7

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  • DOI: https://doi.org/10.1007/s00170-023-12085-7

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