Enhancing accuracy in two-point incremental sheet forming (TPIF): The influence of compliance and effective squeeze factor

Enhancing accuracy in two-point incremental sheet forming (TPIF): The influence of compliance and effective squeeze factor

Youngrok Lee, Zixuan Mu, Ankush Bansal, Alan Taub, Mihaela Banu

Abstract. Two-point incremental forming (TPIF) enhances geometric accuracy by incorporating a backing die; however, machine and tool compliance often introduce discrepancies between the programmed squeeze factor (〖SF〗_p) and the effective squeeze factor (〖SF〗_e), leading to “degenerated TPIF”, where the sheet-die contact is lost throughout the process. This study investigates compliance-induced deflections and introduces an empirical relation to predict 〖SF〗_e based on measured compliance and baseline radial force, enabling a predictive toolpath generation approach that minimizes trial-and-error adjustments. Experimental validation was conducted using AA7075-O across different tool designs and truncated cone geometries with wall angles of 45° and 67°. Geometric profile, surface texture, and forming force evolution were analyzed to assess the effect of system compliance on material squeeze and forming accuracy. Results demonstrate that a tapered tool with lower system compliance maintained sheet-die contact at 〖SF〗_p = 10% for the 45° cones, whereas a conventional tool design required 〖SF〗_p ≥ 40%. These findings confirm that minimizing system compliance through tool design improves material squeeze and geometric accuracy. Furthermore, a finite element model of the 67° incorporating 〖SF〗_e accurately predicted forming forces and deformation trends, closely matching experimental observations. These findings establish a practical framework for improving geometric accuracy and optimizing TPIF toolpath generation, offering significant advantages for industrial applications.

Keywords
Two-Point Incremental Forming (TPIF), Compliance, Squeeze Factor, FEA

Published online 5/7/2025, 10 pages
Copyright © 2025 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: Youngrok Lee, Zixuan Mu, Ankush Bansal, Alan Taub, Mihaela Banu, Enhancing accuracy in two-point incremental sheet forming (TPIF): The influence of compliance and effective squeeze factor, Materials Research Proceedings, Vol. 54, pp 1333-1342, 2025

DOI: https://doi.org/10.21741/9781644903599-145

The article was published as article 145 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] J. Shin, A. Bansal, R. Chang, A. Taub, and M. Banu, “Process planning for precision incremental forming of complex parts,” in AIP Conference Proceedings, American Institute of Physics Inc., Jul. 2019. doi: 10.1063/1.5112738
[2] A. Bansal, R. Cheng, M. Banu, and J. Ni, “EXPERIMENTAL ANALYSIS OF MATERIAL SQUEEZE FACTOR IN TWO-POINT INCREMENTAL FORMING OF AL 7075-O,” 2020. [Online]. Available: http://asmedigitalcollection.asme.org/MSEC/proceedings-pdf/MSEC2020/84263/V002T06A027/6619059/v002t06a027-msec2020-8527.pdf
[3] J. ’Cao, Y. ’Huang, N. ’Reddy, R. ’Malhotra, and Y. ’Wang, “Incremental sheet metal forming: advances and challenges,” in 9th International Conference on Technology of Plasticity, 2008, pp. 1–16.
[4] R. Malhotra, J. Cao, F. Ren, V. Kiridena, Z. Cedric Xia, and N. V. Reddy, “Improvement of geometric accuracy in incremental forming by using a squeezing toolpath strategy with two forming tools,” J Manuf Sci Eng, vol. 133, no. 6, 2011. https://doi.org/10.1115/1.4005179
[5] H. Ren et al., “General contact force control algorithm in double-sided incremental forming,” CIRP Annals, vol. 67, no. 1, pp. 381–384, Jan. 2018. https://doi.org/10.1016/j.cirp.2018.04.057
[6] J. Verbert, R. Aerens, H. Vanhove, E. Aertbeliën, and J. R. Duflou, “Obtainable accuracies and compensation strategies for robot supported SPIF,” in Key Engineering Materials, Trans Tech Publications Ltd, 2009, pp. 679–687. doi: 10.4028/www.scientific.net/KEM.410-411.679
[7] J. Asghar, R. Lingam, E. Shibin, and N. V. Reddy, “Tool path design for enhancement of accuracy in single-point incremental forming,” Proc Inst Mech Eng B J Eng Manuf, vol. 228, no. 9, pp. 1027–1035, 2014. https://doi.org/10.1177/0954405413512812
[8] L. Rakesh, S. Amit, and N. V. Reddy, “Deflection Compensations for Tool Path to Enhance Accuracy during Double-Sided Incremental Forming,” Journal of Manufacturing Science and Engineering, Transactions of the ASME, vol. 138, no. 9, Sep. 2016. https://doi.org/10.1115/1.4033956
[9] D. Möllensiep, T. Gorlas, P. Kulessa, and B. Kuhlenkötter, “Real-time stiffness compensation and force control of cooperating robots in robot-based double sided incremental sheet forming,” Production Engineering, vol. 15, no. 5, pp. 683–699, Oct. 2021. https://doi.org/10.1007/s11740-021-01052-4
[10] S. Bharti, E. Paul, A. Uthaman, H. Krishnaswamy, A. Klimchik, and R. Abraham Boby, “Systematic analysis of geometric inaccuracy and its contributing factors in roboforming,” Sci Rep, vol. 14, no. 1, Dec. 2024. https://doi.org/10.1038/s41598-024-70746-3
[11] N. Moser, D. Leem, K. Ehmann, and J. Cao, “A high-fidelity simulation of double-sided incremental forming: Improving the accuracy by incorporating the effects of machine compliance,” J Mater Process Technol, vol. 295, Sep. 2021. https://doi.org/10.1016/j.jmatprotec.2021.117152
[12] K. Inal, J. Levesque, M. Worswick, and C. Butcher, “Proceedings of the 12th International Conference and Workshop on Numerical Simulation of 3D Sheet Metal Forming Processes.”
[13] R. Aerens, P. Eyckens, A. Van Bael, and J. R. Duflou, “Force prediction for single point incremental forming deduced from experimental and FEM observations,” International Journal of Advanced Manufacturing Technology, vol. 46, no. 9–12, pp. 969–982, Feb. 2010. https://doi.org/10.1007/s00170-009-2160-2
[14] A. Bansal, R. Lingam, S. K. Yadav, and N. Venkata Reddy, “Prediction of forming forces in single point incremental forming,” J Manuf Process, vol. 28, pp. 486–493, Aug. 2017. https://doi.org/10.1016/j.jmapro.2017.04.016
[15] J. Shin et al., “Prediction of Negative Bulge in Two Point Incremental Forming of an Asymmetric Shape Part,” in Journal of Physics: Conference Series, Institute of Physics Publishing, Aug. 2018. doi: 10.1088/1742-6596/1063/1/012057
[16] G. Ambrogio, I. Costantino, L. De Napoli, L. Filice, L. Fratini, and M. Muzzupappa, “Influence of some relevant process parameters on the dimensional accuracy in incremental forming: A numerical and experimental investigation,” J Mater Process Technol, vol. 153–154, no. 1–3, pp. 501–507, Nov. 2004. https://doi.org/10.1016/j.jmatprotec.2004.04.139
[17] G. Ambrogio, V. Cozza, L. Filice, and F. Micari, “An analytical model for improving precision in single point incremental forming,” J Mater Process Technol, vol. 191, no. 1–3, pp. 92–95, Aug. 2007. https://doi.org/10.1016/j.jmatprotec.2007.03.079
[18] R. Esmaeilpour et al., “Experimental validation of the simulation of single-point incremental forming of AA7075 sheet with Yld2004-18P yield function calibrated with crystal plasticity model”. https://doi.org/10.1007/s00170-021-06706-2/Published
[19] E. Betaieb et al., “Influence of the Identification Procedures of the Material Model in Accurate Prediction of Incremental Sheet Forming Forces,” in Proceedings of the 14th International Conference on the Technology of Plasticity – Current Trends in the Technology of Plasticity. ICTP 2023., 2024, pp. 591–602. doi: 10.1007/978-3-031-40920-2_61