, Volume 54, Issue 1–2, pp 261–270 | Cite as

Establishment of the tension stress model considering metal lateral flow for foil rolling

  • Z. K. Ren
  • T. WangEmail author
  • W. W. Fan


In rolling production, the foil flatness quality is judged by detecting the lateral distribution of the front tension stress. Currently, because of the inaccuracy of the tension control model, there are still many flatness defects in foil rolling production. For the tension stress model of foil rolling, the primary problem is the inaccuracy of the metal lateral flow model. Therefore, based on Fleck’s foil rolling theory, a new model of the lateral displacement in the foil deformation region is established by using the principle of minimum potential energy. Next, a tension stress model is established, which takes the effect of the metal lateral flow into account. Last, using a laboratory 20-high rolling mill as the research object, the finite element model of foil rolling is established, and the accuracy of the new model is demonstrated by comparing the theoretical calculations with the simulation results.


Foil rolling Principle of minimum potential energy Tension stress model Metal lateral flow Finite element model 



This study was funded by the Shanxi province science and technology major projects (Grant No. 20181102015) and the Taiyuan City Science and Technology Major Project (Grant No. 170203).

Compliance with ethical standards

Conflict of interest

The authors declare that we have no conflict of interest in the submission of this manuscript, and manuscript is approved by all authors for publication.


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© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.College of Mechanical EngineeringTaiyuan University of TechnologyTaiyuanPeople’s Republic of China

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