An analytical approach for modelling incremental disk rolling process
ACAR Sadik Sefa, DINÇER Mehmet Şamil, OZCATALBAS Mustafa
download PDFAbstract. In the context of the current study, an analytical method is developed to determine the deformation field of the workpiece under the forming roller for an unconventional incremental radial disk rolling (IRDR) process. As the industrial forming machine is in the development phase, the machine and process design requires a preliminary assessment tool that is sensitive to process parameters and roller geometry. Establishing a parametric relationship between process parameters and induced deformation field enables designers to determine the parameters needed to obtain the target geometry and microstructure as well as the forming machine requirements. Instantaneous roller-workpiece interface, i.e. contact zone, and cross-sections that plastic flow occurs in between are calculated. The contact zone is spatially discretized to two-dimensional surface elements. The principle of volume conservation during plastic deformation is utilized to obtain velocity fields in three dimensions. Strain rate distributions are calculated by taking the gradient of the velocity fields in respective directions. Average values of strain at each cross-section are the accumulated plastic strain that is created by the multiple circumferential passes of the roller and computed numerically, accounting for different strain rates and contact times at each pass. Obtained contact zone geometries, deformation fields, and the effect of different process parameters are discussed. Results show that deformation occurs mainly in the circumferential direction and the tangential velocity of the roller in the circumferential direction has a more pronounced effect on the deformation than the radial advance of the roller per revolution.
Keywords
Incremental Forming, Disk Rolling, Velocity Field, Strain Rate Field, Analytical Model, Contact Zone, Deformation Field
Published online 4/19/2023, 10 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA
Citation: ACAR Sadik Sefa, DINÇER Mehmet Şamil, OZCATALBAS Mustafa, An analytical approach for modelling incremental disk rolling process, Materials Research Proceedings, Vol. 28, pp 657-666, 2023
DOI: https://doi.org/10.21741/9781644902479-71
The article was published as article 71 of the book Material Forming
Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
References
[1] L. Chevalier, Prediction of defects in metal forming: Application to wire drawing, J. Mater. Process. Technol. 32 (1992) 145-153. https://doi.org/10.1016/0924-0136(92)90171-n
[2] J.J. Lee, G.J. Park, Optimization of the structural and process parameters in the sheet metal forming process, J. Mech. Sci. Technol. 28 (2014) 605-619. https://doi.org/10.1007/s12206-013-1125-4
[3] Y.V.R.K. Prasad, T. Seshacharyulu, Modelling of hot deformation for microstructural control, Int. Mater. Rev. 43 (1998) 243-258. https://doi.org/10.1179/imr.1998.43.6.243
[4] X.-M. Chen, Y. C. Lin, M.-S Chen, H.-B. Li, D.-X. Wen, J.-L. Zhang, M. He, Microstructural evolution of a nickel-based superalloy during hot deformation, Mater. Des. 77 (2015) 41-49. https://doi.org/10.1016/j.matdes.2015.04.004
[5] Z. Wusatowski, Fundamentals of Rolling, Pergamon Press, Oxford, 1969
[6] S. Alexandrov, E. Lyamina, Y.R. Jeng, A general kinematically admissible velocity field for axisymmetric forging and its application to hollow disk forging, Int. J. Adv. Manuf. Technol. 88 (2017) 3113-3122. https://doi.org/10.1007/s00170-016-9018-1
[7] J. Zhang, Z. Cui, Prediction of velocity and deformation fields during multipass plate hot rolling by novel mixed analytical-numerical method, J. Iron Steel Res. Int. 18 (2011) 20-27.
[8] S. Serajzadeh, Y. Mahmoodkhani, A combined upper bound and finite element model for prediction of velocity and temperature fields during hot rolling process, Int. J. Mech. Sci. 50 (2008) 1423-1431. https://doi.org/10.1016/j.ijmecsci.2008.07.004
[9] S. Li, Z. Wang, Y. Guo, A novel analytical model for prediction of rolling force in hot strip rolling based on tangent velocity field and MY criterion, J. Manuf. Process. 47 (2019) 202-210. https://doi.org/10.1016/j.jmapro.2019.09.037.
[10] D.H. Zhang, Y.M. Liu, J. Sun, D.W. Zhao, A novel analytical approach to predict rolling force in hot strip finish rolling based on cosine velocity field and equal area criterion, Int. J. Adv. Manuf. Technol. 84 (2016) 843-850. https://doi.org/10.1007/s00170-015-7692-z
[11] S.P. Hamidpour, A. Parvizi, A.S. Nosrati, Upper bound analysis of wire flat rolling with experimental and FEM verifications, Meccanica 54 (2019) 2247-2261. https://doi.org/10.1007/s11012-019-01066-4
[12] H.L. Nascimento, Y. Shigak, S.C. Santos, A.Z. Hubinger, A study of the rolling load calculation models for flat cold rolling process, J. Comput. Meth. Eng. 2 (2016) 320-334.
[13] C.T. Chen, F.F. Ling, Upper-bound solutions to axisymmetric extrusion problems, Int. J. Mech. Sci. 10 (1968) 863-879. https://doi.org/10.1016/0020-7403(68)90090-8
[14] P. Agrawal, S. Aggarwal, N.Banthia, U.S. Singh, A. Kalia, A. Pesin, A comprehensive review on incremental deformation in rolling processes, J. Eng. Appl. Sci. 69 (2022). https://doi.org/10.1186/s44147-022-00072-w
[15] D. Marini, D. Cunningham, J. Corney, A Review of Flow Forming Processes and Mechanisms, Key Eng. Mater. 651-653 (2015) 750-758. https://doi.org/10.4028/www.scientific.net/kem.651-653.750
[16] A. Abedini, S. Rash-Ahmadi, A. Doniavi, Roughness optimization of flow-formed tubes using the Taguchi method, Int. J. Adv. Manuf. Technol. 72 (2014) 1009-1019. https://doi.org/10.1007/s00170-014-5732-8.
[17] S. Fortune, Voronoi Diagrams and Delaunay Triangulations, in: D.Z. Du, F. Hwang (Eds.), Computing in Euclidean Geometry, 1995, pp. 225-265.