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Research Papers

A Combined Finite Element and Finite Difference Analysis of Cold Flat Rolling

[+] Author and Article Information
P. P. Gudur, U. S. Dixit

Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati 781 039, India

J. Manuf. Sci. Eng 130(1), 011007 (Feb 06, 2008) (6 pages) doi:10.1115/1.2815342 History: Received January 14, 2007; Revised October 12, 2007; Published February 06, 2008

The finite element analysis of cold flat rolling has been carried out by a number of researchers using updated Lagrangian and flow formulations. The major difficulty in the flow formulation is the estimation of hydrostatic stress accurately. In this work, a mixed pressure-velocity finite element flow formulation is used in obtaining the velocity field during the rolling process. The hydrostatic stress is obtained by solving the momentum equations using a finite difference method. The values of Levy–Mises coefficient and strain-rate components required in the finite difference equations are obtained as a function of spatial coordinates using a radial basis function neural network modeling. The proposed method is compared with a mixed pressure-velocity finite element method and experimental results available in the literature. It is observed that the proposed method provides a better agreement with the experimental results.

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Copyright © 2008 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

The domain and the finite element mesh (12). With permission from Ref. 12. Copyright 1996 Elsevier.

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Figure 2

The domain showing plastic boundaries and the points for finite difference approximation

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Figure 3

A typical architecture of RBF model

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Figure 4

Comparison of FEM and experimental results for steel (R∕h1=65) (a) roll force (b) roll torque

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Figure 5

Comparison of FEM and experimental results for steel (R∕h1=130) (a) roll force (b) roll torque

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Figure 6

Comparison of FEM and experimental results for copper (a) roll force (b) roll torque

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Figure 7

Comparison of FEM and experimental roll pressure distribution (copper)

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Figure 8

Comparison of roll pressure distribution for different methods

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