Analysis of Vertical Rolling Force with GM Yield Criterion and Anti-Symmetric Parabola Dog-Bone Shapes

Abstract:

Vertical rolling is a vital method for width control in rolling, which has its own deformation characteristic. During the processing, plastic deformation does not go further into center of slab, only in edge where the deformation will be occurred. In this paper, an anti-symmetric parabola is creatively used to describe dog-bone shape and innovatively applied to establish a knematically admissible continuous velocity field for vertical rolling. Based on this field, an analytical form of total deformation power is obtained which is a function of reduction geometric parameters, and friction factor m, as well as parameter of A which is to be determined. With minimization of total power results in rolling forces and torque calculated by this new method is obtained. Copper and aluminum experiments conducted by S.-E.Lundberg are used to verified the results calculated by formula in present paper and compared with those by Lundberg and Duckjoongs’ models. The error is no more than 13%, (average error 7%).

• Periodical: Applied Mechanics and Materials (Volume 775)
• Pages: 34-38
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.775.34
• Online since: July 2015
• Authors: Hong Yu Wang*, De Wen Zhao, Dian Hua Zhang
• Keywords: Analytical Solution, Anti-Symmetric Parabola Dog-Bone Shape, Gm Yield Criterion, Minimization, Vertical Rolling Force

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