Skip to main content
Log in

Finite element analysis of circle-to-rectangle roll forming of thick-walled rectangular tubes with small rounded corners

  • Original Research
  • Published:
International Journal of Material Forming Aims and scope Submit manuscript

Abstract

A novel circle-to-rectangle roll forming finite element model of thick-walled rectangular tubes was proposed in this paper. Circle-to-rectangle roll forming is usually used to manufacture thick-walled rectangular tubes. For thick-walled rectangular tubes with small rounded corners (the ratio of outer rounded corner radius to thickness less than 1.5), due to the limitation of measurements of rounded corner stresses, finite element model of the manufacturing process are alternative approaches for predictions of both von Mises stress and equivalent plastic strain in circle-to-rectangle roll forming. In this paper, the finite element model was built based on elastic–plastic finite element method. The simulation results of roll forming were compared with the experimental results to verify the accuracy of the finite element model. Von Mises stress and equivalent plastic strain at the rounded corners were analyzed, the possible crack position of thick-walled rectangular tubes during circle-to-rectangle process was predicted. In addition, the influence of three forming parameters (feeding speed, friction factor, rolling space) for the rounded corners were discussed by the equivalent plastic strain of the inner and outer surfaces. The finite element model of circle-to-rectangle roll forming could provide manufacture guide while manufacturing the rectangular tubes with small rounded corner.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12

We’re sorry, something doesn't seem to be working properly.

Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

Data availability

The datasets used or analysed during the current study are available from the corresponding author on reasonable request.

Code availability

Not applicable.

References

  1. Li YQ, Xu HJ (2019) Research and development of cold-formed steel structures in China. Building Structure 49(19):91–101

    Google Scholar 

  2. Nguyen HQ, Ly HB, Tran VQ et al (2020) Optimization of artificial intelligence system by evolutionary algorithm for prediction of axial capacity of rectangular concrete filled steel tubes under compression. Materials 13(05):1205

    Article  Google Scholar 

  3. Tang D, Mi ZL, Su L (2020) Trend of development in automobile sheet deep working technology. Steel Rolling 32(01):1–6

    Google Scholar 

  4. Rasmussen JD, Rosenbaugh SK, Faller RK et al (2020) Development of a test level 4, side-mounted, steel tube bridge rail. Transp Res Record J Transp Res Board 2674(09):525–537

    Article  Google Scholar 

  5. Xuan C, Hui WC, El-Aty AA et al (2020) Cross-section deformation behaviors of a thin-walled rectangular tube of continuous varying radii in the free bending technology. Thin-Walled Struct 150:106670

    Article  Google Scholar 

  6. Han F, Zhang T (2016) Experimental investigation on cold-forming effect of middle thick-walled square tube. Welded Pipe Tube 39(07):61–64

    Google Scholar 

  7. Abathun MZ, Han JT, Yu W (2021) Effects of manufacturing methods and production routes on residual stresses of rectangular and square hollow steel sections: a review. Archiv Civil Mech Eng 21(03):100

    Article  Google Scholar 

  8. Sun M, Packer JA (2014) Direct-formed and continuous-formed rectangular hollow sections-comparison of static properties. J Constr Steel Res 92:67–78

    Article  Google Scholar 

  9. Zhu JM, Lu S (2011) Working principle and forming process for directly forming to square of rectangular pipe. Welded Pipe Tube 34(07):38–43

    Google Scholar 

  10. Nagamachi T, Nakako T, Nakamura D (2013) Effects of forming conditions of roll offset method on sectional shape at the corner of square steel pipe. Mater Trans 54(09):1703–1708

    Article  Google Scholar 

  11. Han F, Liu JY, Ai ZQ et al (2010) State of the art of research on roll forming process. J Plast Eng 17(05):53–60

    Google Scholar 

  12. Hu SD, Guo ZW, Xiao Y et al (2015) Process parameters optimization of roll bending for rectangular pipe. Hot Work Technol 44(21):138–140+144

    Google Scholar 

  13. Du FS, Fu ZQ, Yu H (2016) Roll Flower Design and forming mechanism of rectangular tubes in cold roll forming processes. China Mech Eng 27(21):2841–2845

    Google Scholar 

  14. Kut S, Stachowicz F (2020) Cross-section deformation and bending moment of a steel square tubular section. Materials 13(22):5170

    Article  Google Scholar 

  15. Tajyar A, Abrinia K (2009) FEM simulation of reshaping of thick tubes in different passes. Int J Recent Trends Eng 1(05):82–85

    Google Scholar 

  16. Li DY, Li LM, Tang D et al (2010) A reshaping roll forming technique for square/ rectangular steel tube manufacturing: numerical study and process design. 10th Asia-Pacific Conference on Engineering Plasticity and its Applications (AEPA), N November 15th-17th, 2010. World Scientific, Singapore, pp 398–402

    Google Scholar 

  17. Yao Y, Quach WM, Young B (2019) Finite element-based method for residual stresses and plastic strains in cold-formed steel hollow sections. Eng Struct 188:24–42

    Article  Google Scholar 

  18. Li GW, Li YQ, Xu J et al (2019) Experimental investigation on the longitudinal residual stress of cold-formed thick-walled SHS and RHS steel tubes. Thin-Walled Struct 138:473–484

    Article  Google Scholar 

  19. Yao Y, Quach WM, Young B (2019) Cross-section behavior of cold-formed steel elliptical hollow sections - A numerical study. Eng Struct 201:109797

    Article  Google Scholar 

  20. Yao Y, Quach WM, Young B (2020) Simplified models for residual stresses and equivalent plastic strains in cold-formed steel elliptical hollow sections. Thin-Walled Struct 154:106835

    Article  Google Scholar 

  21. Díaz A, Cuesta II, Alegre JM et al (2021) Residual stresses in cold-formed steel members: Review of measurement methods and numerical modelling. Thin-Walled Struct 159:107335

    Article  Google Scholar 

  22. Mehari ZA, Han JT, Peng XF et al (2021) Analysis of stress-strain in the partial heating roll forming process of high strength square hollow steel sections. Int J Adv Manuf Technol 115(1–2):563–579

    Article  Google Scholar 

  23. Kang W, Zhao YX, Yu WW et al (2014) Numerical simulation and parameters analysis for roll forming of martensitic steel MS980. Procedia Eng 81:251–256

    Article  Google Scholar 

  24. Huang YL (2018) Rolling process of high strength steel rectangular tube. Forging Stamping Technol 43(08):117–121

    Google Scholar 

  25. Xiao LH, Li Y, Cao YX et al (2016) Mechanisms and influences of edge-wave in roll-forming for thin-walled channel steel parts. J Plast Eng 23(01):32–39

    Google Scholar 

  26. Xin X, Juan L, Gabriela V et al (2018) Control strategy of twist springback for aluminium alloy hybrid. Int J Mater Form 11(02):311–322

    Article  Google Scholar 

  27. Fu ZQ, Du FS, An ZJ et al (2014) Metal flow law of a circular tube into a rectangular-tube in continuous roll forming process. Iron Steel 49(04):42–46

    Google Scholar 

  28. Zhu YF (2015) Research on analysis methods of explicit dynamics based on ABAQUS. Mach Des Manuf 2015 (03):107–109+113

  29. Fang H, Chan TM, Young B (2018) Structural performance of cold-formed high strength steel tubular columns. Eng Struct 177:473–488

    Article  Google Scholar 

  30. Zeng G, Lai XM, Yu ZQ et al (2008) The virtual speed in dynamic explicit FEM simulation for multi-stand roll forming. J Shanghai Jiao Tong Univ 42(09):1429–1432+1437

    Google Scholar 

  31. Zhang Z, Pei K, Sun M et al (2022) Tessellated multistable structures integrated with new transition elements and antisymmetric laminates. Thin-walled Struct 170:108560

    Article  Google Scholar 

  32. Safdarian R (2020) Investigation of tube fracture in the rotary draw bending process using experimental and numerical methods. Int J Mater Form 13(04):493–516

    Article  Google Scholar 

  33. Zhang G, Chen JY, Zhang Z et al (2022) Analysis of magnetorheological clutch with double cup-shaped gap excited by Halbach array based on finite element method and experiment. Smart Mater Struct 31(07):075008

    Article  Google Scholar 

  34. Zhang Z, Zhou HP, Ma JY et al (2022) Space deployable bistable composite structures with C-cross section based on machine learning and multi-objective optimization. Compos Struct 297:115983

    Article  Google Scholar 

  35. Zhang G, Zhang Z, Sun M et al (2022) The influence of the temperature on the dynamic behaviors of magnetorheological Gel. Adv Eng Mater 24(9):2101680

  36. Ye BY, Zhang Z, Sun M et al (2022) Multistable morphing structures integrated with non-symmetric/antisymmetric-layup connected laminates. Compos Struct 300:116134

  37. Feng YQ, Luo Z, Liu ZM, er al, (2015) Keyhole gas tungsten arc welding of AISI 316L stainless steel. Mater Des 85:24–31

    Article  Google Scholar 

  38. Mao N (2016) Microstructure and mechanical properties of welded joint of 316L stainless steel. M.S. thesis, school of materials science and engineering, Harbin Institute of Technology, China

  39. Zhang Z, Ni XQ, Wu HL et al (2022) Pneumatically actuated soft gripper with bistable structures. Soft Rob 9(01):57–71

    Article  Google Scholar 

  40. Li JC, Huang XT, Ma GC et al (2020) Numerical simulation and parameter design of strip cold rolling process of 301L stainless steel in 20-roll mill. Metall Mater Trans B 51(04):1370–1383

    Article  Google Scholar 

  41. Najafabadi HM, Naeini HM, Safdarian R et al (2019) Effect of forming parameters on edge wrinkling in cold roll forming of wide profiles. Int J Adv Manuf Technol 101(1–4):181–194

    Article  Google Scholar 

  42. Mo XQ (2019) Linear and nonlinear fitting based on least squares method. Wireless Internet Technol 16(04):128–129

    Google Scholar 

  43. Zhu FX, Zhao Q, Wang CL et al (2007) Experiment of process for pre-treatment of 20 steel seamless tube to eliminate of corner crack during cold-bending formation. Steel Pipe 36(01):21–25

    Google Scholar 

  44. Gao CH (2015) Research and application of direct calculation method for high-strength square pipe cold rolling process. M.S. thesis, School of naval architecture & ocean engineering, Huazhong University of Science and Technology, China

Download references

Acknowledgements

This research was supported by the National Natural Science Foundation of China (Grant Nos. 52075492, 11972323, 52205134), the Zhejiang Provincial Natural Science Foundation of China (Grant Nos. LR20A020002, LQ21A020003, LD22E050009, LQ22E050013, 2022C01096).

Funding

This research was supported by the National Natural Science Foundation of China (Grant Nos. 52075492, 11972323, 52205134), the Zhejiang Provincial Natural Science Foundation of China (Grant Nos. LR20A020002, LQ21A020003, LD22E050009, LQ22E050013, 2022C01096).

Author information

Authors and Affiliations

Authors

Contributions

All authors contributed to the study conception and design. Investigation, numerical simulations, data analysis, first draft of the manuscript were performed by Zhongyi Luo. Reviewing and editing of the manuscript were performed by Zhongyi Luo, Min Sun and Zheng Zhang. Project administration and supervision were performed by Zheng Zhang, Congda Lu and Guang Zhang. Specimens were tested by Xiaoyan Fan.

Corresponding author

Correspondence to Zheng Zhang.

Ethics declarations

Ethics approval

Not applicable.

Consent to participate

Not applicable.

Consent for publication

Not applicable.

Competing interests

The authors have no relevant financial or non-financial interests to disclose.

Additional information

Publisher's note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Luo, Z., Sun, M., Zhang, Z. et al. Finite element analysis of circle-to-rectangle roll forming of thick-walled rectangular tubes with small rounded corners. Int J Mater Form 15, 73 (2022). https://doi.org/10.1007/s12289-022-01719-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s12289-022-01719-y

Keywords

Navigation