New Method of Determination for Pressure and Shear Frictions in the Ring Rolling Process as Analytical Function
Subject Areas : Engineering
1 - Mechanical Engineering Department, Sharif University of Technology
Keywords: Ring rolling process, Analytical solution for pressure and shear tractions, Nonlinear material, Friction model,
Abstract :
Ring rolling is one of the most significant methods for producing rings with highly precise dimensions and superior qualities such as high strength uniformity, all accomplished without wasting any materials. In this article, we have achieved analytical formulas for calculating the pressure and shear friction over the contact arcs between the rollers and ring in the ring rolling process for the material in general nonlinear hardening property. We have also asserted the best mathematical model to predict friction for rolling processes. The method we use is based on calculating the analytical stress distribution. In other words, by using of Saint-Venan principal the stress components are calculated as analytical functions. Once that is accomplished, the pressure and shear traction over the rollers are able to be analyzed. The crucial characteristics which set apart this study from other studies are the investigation of the effects of the speed with which rollers are fed, and resulting ring velocity. With normal and shear friction, those characteristics cannot be investigated by other methods such as the slab method, upper bound, etc. Also, results show the effects of material hardening properties, radius of rollers and thickness reduction under pressure, and shear friction distributions.
[1] Zhang Xu., Wan Qi., Zhigang Li., 2011, Solver for finite element analysis of ring rolling process, Advanced Materials Research 338: 251-254.
[2] Johnson W., MacLeod I., Needham G., 1968, An experimental investigation into the process of ring or metal tyre rolling, International Journal of Mechanical Sciences 10: 455-476.
[3] Johnson W., Needham G., 1968, Experiments on ring rolling, International Journal of Mechanical Sciences 10: 95-113.
[4] Hawkyard J. B., Johnson W., Kirkland J., Appleton E., 1973, Analyses for roll force and torque in ring rolling, with some supporting experiments, International Journal of Mechanical Sciences 15: 873-893.
[5] Yang D. Y., Kim K. H., 1988, Rigid-plastic finite element analysis of plane strain ring rolling, International Journal of Mechanical Sciences 30: 571-580.
[6] Xu S.G., Lian J.C., Hawkyard J.B., 1991, Simulation of ring rolling using a rigid-plastic finite element model, International Journal of Mechanical Sciences 33: 393-401.
[7] Youngsoo Y., Youngsoo K., Naksoo K., Jongchan L., 2003, Prediction of spread, pressure distribution and roll force in ring rolling process using rigid-plastic finite element method, Journal of Materials Processing Technology 140: 478-486.
[8] Theocaris P. S., Stassinakis C. A., Mamalis A. G., 1983, Roll-Pressure distribution and coefficient of friction in hot rolling by caustics, International Journal of Mechanical Sciences 25: 833-844.
[9] Wang B., Hu W., Kong L.X., Hodgson P., 1998, The influence of roll speed on the rolling of metal plates, Metals and Materials 4: 915-919.
[10] Hill R., 1950, The Mathematical Theory of Plasticity, Published in the United States by Oxford University Press Inc. New York, First Published.
[11] Akhtar S.K., Surjian H., 1995, Continuum Theory of Plasticity, Wiley-Interscience Pulication, John Wiley and Sons, Inc.
[12] Barber JR., 1992, Elasticity, Kluwer, Dordrecht, The Netherlands, Second Edition.
[13] Salimi M., Kadkhodaei M., 2004, Slab analysis of asymmetrical sheet rolling, Journal of Materials Processing Technology 150: 215-222.
[14] Hossford W.F., Caddel R.M., 2011, Metal Forming Mechanics & Metallurgy, Cambridge University Press fourth Edition.
[15] Salimi M., Sassani F., 2002, Modified slab analysis of asymmetrical plate rolling, International Journal of Mechanics Science 44: 1999-2023.
[16] Ryoo J.S., Yang D.Y., 1986, The influence of process parameters on torque and load in ring rolling, Journal of Mechanical Working Technology 12: 307-321.
[17] Ryoo S., Yang D.Y., Johnson W., 1983, Ring rolling; the inclusion of pressure roll speed for estimating torque by using a velocity superposition method, Proceedings of 24th International MTDR Conference ,Manchester.
[18] Wang B., Hu W., Kong L.X., Hodgson P., 1998, The influence of roll speed on the rolling of metal plates, Metal and Materials 4(4): 915-919.
[19] Ginzburg B.V., Ballas R., 2002, Fundamentals of Flat Rolling Manufacturing Engineering and Materials Processing, Published by CRC Press.