An approximate method for the solution of an influence function foil rolling model |
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Authors: | TAM Langlands DLS McElwain SA Domanti |
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Affiliation: | aApplicable Mathematics and Advanced Computation Program, School of Mathematical Sciences, Queensland University of Technology, P.O. Box 2434, Brisbane Queensland 4001, Australia;bIndustrial Automation Services Pty. Ltd., P.O. Box 3100, Teralba NSW 2284, Australia |
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Abstract: | Fleck and Johnson (Int. J. Mech. Sci. 29 (1987) 507) and Fleck et al. (Proc. Inst. Mech. Eng. 206 (1992) 119) have developed foil rolling models which allow for large deformations in the roll profile, including the possibility that the rolls flatten completely. However, these models require computationally expensive iterative solution techniques. A new approach to the approximate solution of the Fleck et al. (1992) Influence Function Model has been developed using both analytic and approximation techniques. The numerical difficulties arising from solving an integral equation in the flattened region have been reduced by applying an Inverse Hilbert Transform to get an analytic expression for the pressure. The method described in this paper is applicable to cases where there is or there is not a flat region. |
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Keywords: | Cold rolling Approximation Plane strain Influence function |
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