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Relationship between mechanical properties and geometric parameters to limitation condition of springback based on springback–radius concept in V-die bending process

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Abstract

The determination of the accuracy of part geometry is based on the precise prediction of the springback–radius in sheet bending. Incorporating strength ratio, normal anisotropy, the strain-hardening exponent, and the geometric ratio, a simplified model is proposed to predict the springback–radius in V-die bending based on elementary bending theory. Experiments were conducted to validate the derived equation based on the proposed modeling for this radius. The calculation of springback–radius agrees closely with the experimental results, proving the reliability of the present model. To reduce springback and achieve the correct radius of bent parts in the sheet bending process, the effects of process parameters, including punch radius, material strength and sheet thickness, on springback–radius ratio (punch radius divided by the radius of bending after unloading) were experimentally examined to identify those that govern springback variations for a high-strength steel sheet. The manner in which the strength ratio (material constant divided by elastic constant), normal anisotropy, strain-hardening exponent, and geometric ratio (sheet thickness divided by punch diameter) affect springback–radius in the V-die bending process for high-strength steel sheet is theoretically examined. Finally, a relationship between mechanical properties and geometric parameters to limitation condition of springback based on springback–radius concept in V-die bending process is examined. The goal is to improve the accuracy of the springback–radius after unloading in the V-die bending process.

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References

  1. Gardiner FJ (1957) The springback of metals. ASME J Appl Mech 79:1–9

    Google Scholar 

  2. Datsko J, Yang CT (1960) Correlation of bendability of materials with their tensile properties. ASME J Eng Ind 82:309–314

    Article  Google Scholar 

  3. Takenaka N, Tozawa Y, Suzuki K (1970) Material characteristic value for evaluation of bendability and methods for measuring these values. Ann CIRP 20:53–54

    Google Scholar 

  4. Cupka V, Nakagawa T, Tiyamoto H, Kudo H (1973) Fine bending with counter pressure. Ann CIRP 22:73–74

    Google Scholar 

  5. Kals JAG, V-dienstra PC (1974) On the critical radius in sheet bending. Ann CIRP 23:55–56

    Google Scholar 

  6. Ogawa H, Makinouchi A, Takizawa H, Mori N (1993) Development of an elasto-plastic FE code for accurate prediction of springback in sheet bending processes and its validation by experiments. In: Advanced Technology of Plasticity, Proceeding of the Fourth International Conference on Technology of Plasticity, pp 1641–1646

    Google Scholar 

  7. Wang C, Kinzel G, Altan T (1993) Mathematical modeling of plane-strain bending of sheet and plate. J Mater Process Technol 39:279–304

    Article  Google Scholar 

  8. Leu DK (1997) A simplified approach for evaluation bendability and springback in plastic bending of anisotropic sheet metals. J Mater Process Technol 66:9–17

    Article  Google Scholar 

  9. Leu DK (1998) Effects of process variables on V-die bending process of steel sheet. Int J Mech Sci 40(7):631–650

    Article  MATH  Google Scholar 

  10. Huang YM (2007) Finite element analysis on the V-die coining bend process of steel metal. Int J Adv Manuf Technol 34:287–294

    Article  Google Scholar 

  11. Leu DK, Hsieh CM (2008) The influence of coining force on spring-back reduction in V-die bending process. J Mater Process Technol 196:230–235

    Article  Google Scholar 

  12. Bakhshi-Jooybari M, Rahmani B, Daeezadeh V, Gorji A (2009) The study of spring-back of CK67 steel sheet in V-die and U-die bending processes. Mater Des 30(7):2410–2419

    Article  Google Scholar 

  13. Narayanasamy R, Padmanabhan P (2009) Application of response surface methodology for predicting bend force during air bending process in interstitial free steel sheet. Int J Adv Manuf Technol 44:38–48

    Article  Google Scholar 

  14. Yu HY (2009) Variation of elastic modulus during plastic deformation and its influence on springback. Mater Des 30:846–850

    Article  Google Scholar 

  15. Ozturk F, Ece RE, Polat N, Koksal A (2010) Effect of warm temperature on springback compensation of titanium sheet. Mater Manuf Process 23(9):1021–1024

    Article  Google Scholar 

  16. Chatti S, Hermi N (2011) The effect of non-linear recovery on springback prediction. Comput Struct 89(13–14):1367–1377

    Article  Google Scholar 

  17. Baseri H, Bakhshi-Jooybari M, Rahmani B (2011) Modeling of spring-back in V-die bending process by using fuzzy learning back-propagation algorithm. Expert Syst Appl 38(7):8894–8900

    Article  Google Scholar 

  18. Chen CC, Jiang CP (2011) Grain size effect in the micro-V-bending process of thin metal sheets. Mater Manuf Process 26(1):78–83

    Article  Google Scholar 

  19. Lee JY, Lee JW, Lee MG, Barlat F (2012) An application of homogeneous anisotropic hardening to springback prediction in pre-strained U-draw/bending. Int J Solids Struct 49(25):3562–3572

    Article  Google Scholar 

  20. Jiang CP, Chen CC (2012) Grain size effect on the springback behavior of the micro tube in the press bending process. Mater Manuf Process 27(5):512–518

    Article  Google Scholar 

  21. Fu ZM (2012) Numerical simulation of springback in air-bending forming of sheet metal. Appl Mech Mater 121–126:3602–3606

    Google Scholar 

  22. Malikov V, Ossenbrink R, Viehweger B, Michailov V (2012) Experimental investigation and analytical calculation of the bending force for air bending of structured sheet metals. Adv Mater Res 418–420:1294–1300

    Google Scholar 

  23. Song Y, Yu Z (2013) Springback prediction in T-section beam bending process using neural networks and finite element method. Arch Civil Mech Eng 13(2):229–241

    Article  Google Scholar 

  24. Leu DK (2013) Position deviation in V-die bending process with asymmetric bend length. Int J Adv Manuf Technol 64:93–103

    Article  Google Scholar 

  25. Weinmann KJ, Shippell RJ (1978) Effect of tool and workpiece geometries upon bending forces and springback in 90 degree V-die bending of HSLA steel plate. In: Sixth North American Metal Working Research Conference Proceeding, pp 220–227

    Google Scholar 

  26. Ramezani M, Mohd Ripin Z, Ahmad R (2010) Modelling of kinetic friction in V-bending of ultra-high-strength steel sheets. Int J Adv Manuf Technol 46:101–110

    Article  Google Scholar 

  27. Fu Z, Mo J (2010) Multiple-step incremental air-bending forming of high-strength sheet metal based on simulation analysis. Mater Manuf Process 25(8):808–816

    Article  Google Scholar 

  28. Ramezani M, Mohd Ripin Z (2010) A friction model for dry contacts during metal-forming processes. Int J Adv Manuf Technol 51:93–102

    Article  Google Scholar 

  29. Fu Z, Mo J (2011) Springback prediction of high-strength sheet metal under air bending forming and tool design based on GA–BPNN. Int J Adv Manuf Technol 53(5–8):473–483

    Article  Google Scholar 

  30. Kardes Sever N, Mete OH, Demiralp Y, Choi C, Altan T (2012) Springback prediction in bending of AHSS-DP 780. In: Proceedings of North American Manufacturing Research Institute/ Society of Manufacturing Engineers, 40, pp 1–10

    Google Scholar 

  31. Leu DK (2015) Position deviation and springback in V-die bending process with asymmetric dies. Int J Adv Manuf Technol 79:1095–1108

    Article  Google Scholar 

  32. Leu DK, Zhuang ZW (2016) Springback prediction of the vee bending process for high-strength steel sheets. J Mech Sci Technol 30(3):1077–1084

    Article  Google Scholar 

  33. Morrison WB (1966) The effect of grain size on the stress-strain relationship in low-carbon steel. Trans Am Soc Met 59:824–846

    Google Scholar 

  34. Lopez Castro A, Durodola JF, Fellows NA (2009) A closed form solution for predicting springback in bending of beams including hardening effect. Adv Steel Constr 5(2):127–135

    Google Scholar 

  35. Zhang DJ, Cui ZS, Li YQ, Ruan XY (2006) The springback of wide metal sheet after large radius pure bending. Eng Mech 23(10):77–81 (in Chinese)

    Google Scholar 

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Acknowledgments

H. Y. Chou is appreciated for the help in the experiments.

Funding

The author would like to thank the Ministry of Science and Technology of the Republic of China, Taiwan, for financially supporting this research under Contract No. MOST 106-2221-E-149-001.

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Correspondence to Daw-Kwei Leu.

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Leu, DK. Relationship between mechanical properties and geometric parameters to limitation condition of springback based on springback–radius concept in V-die bending process. Int J Adv Manuf Technol 101, 913–926 (2019). https://doi.org/10.1007/s00170-018-2970-1

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  • DOI: https://doi.org/10.1007/s00170-018-2970-1

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