Abstract
Taking the stress-relieved Ti-3Al-2.5V tube as the objective, regarding both angular and radius springback, the nonlinear springback behaviors of the high-strength titanium tube (HSTT) upon the universal bending, viz., mandrel bending (rotary draw bending), areclarified. The experiments are conducted to identify the springback and validate the theoretical models, and the deformation theory of plasticity and the explicit/implicit 3D-FE based models are used to reveal the rules and the physical mechanism of the nonlinearity of elastic recovery. The results show that: 1) At early bending stages, the angular springback increases nonlinearly with larger bending angles, then it increases linearly when the bending angle exceeds a critical one; While the radius growth decreases exponentially with the increasing of the bending angles at early stages, then it remains unchanged when the bending angle exceeds another critical value; The springback behaves more nonlinearly under smaller bending radii; Both the critical values for the two springback phenomena become larger with smaller bending radii; The critical angle for radius springback is larger than the one for angular springback. 2) The relationship between the radius springback and angular one is further identified; The radius springback can be estimated by the angular springback of the bending regions of tube; The variation of bending radii has significant effect on angular and radius springback, while it has little influence on the springback angle by the straight regions; The variation of the material properties affects both the springback phenomena much more significantly than the changing of the processing parameters.
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Abbreviations
- Δφ:
-
total springback angle
- Δφb :
-
springback angle of the bending portion of tube
- Δφs :
-
springback angle of two straight portions of tube
- Δρ:
-
radius springback (radius growth)
References
Boyer, R. R., “An Overview on the Use of Titanium in the Aerospace Industry,” Mater. Sci. Eng. A., Vol. 213, pp. 103–114, 1996.
SAE Standards, Product Code. AMS4956, “Titanium Alloy Tubing, Seamless, Hydraulic 3Al-2.5V, Textured Controlled Cold Worked, Stress Relieved,” 2010.
Paulsen, F. and Welo, T., “Application of Numerical-simulation in the Bending of Aluminum-alloy Profiles,” J. Mater. Process. Technol., Vol. 58, pp. 274–285, 1996.
Oliveira, D. A., Worswick, M. J., Khodayari, G., and Gholipour, J., “Effect of Bending Variables on the Characteristics of En-aw5018 Tubes for Subsequent Hydroforming,” Canadian Metallurgical Quarterly, Vol. 46, pp. 145–153, 2007.
Trana, K., “Finite Element Simulation of the Tube Hydroforming Process-Bending, Preforming and Hydroforming,” J. Mater. Process. Technol., Vol. 127, pp. 401–408, 2002.
Yang, J., Jeon, B., and Oh, S., “The Tube Bending Technology of a Hydroforming Process for an Automotive Part,” J. Mater. Process. Technol., Vol. 111, pp. 175–181, 2001.
Dwyer, N., Worswick, M. J., Gholipour, J., Xia, C., and Khodayari, G., “Pre-bending and Subsequen Hydroforming of Tube: Simulation and Experiment,” Porc. of Numisheet 2002 Conference, pp. 447–452, 2002.
Gao, L. and Strano, M., “FEM Analysis of Tube Pre-bending and Hydroforming,” J. Mater. Process. Technol., Vol. 151, pp. 294–297, 2004.
Bardelcik, A., “Effect of Pre-bending and Hydroforming Parameters on the Formability of Advanced High Strength Steel Tube,” Ph. D. Thesis, Dept. Mech. Eng., University of Waterloo, 2006.
Jeong, H. S., Jeon, J. W., Ha, M. Y., and Cho, J. R., “Finite Element Analysis for Inconel 625 Fine Tube Bending to Predict Deformation Characteristics,” Int. J. Precis. Eng. Manuf., Vol. 13, No. 8, pp. 1395–1401, 2012.
Lou, H. and Stelson, K. A., “Three-dimensional Tube Geometry Control for Rotary Draw Tube Bending, Part 1: Bend Angle and Overall Tube Geometry Control,” J. Manuf. Sci. Eng. ASME, Vol. 123, pp. 258–265, 2001.
Tang, N. C., “Plastic-deformation Analysis in Tube Bending,” Int. J. Pressure. Vessels Piping, Vol. 77, pp. 751–759, 2000.
Al-Qureshi, H. A. and Russo, A., “Spring H.A.-back and Residual Stresses in Bending of Thin-walled Aluminium Tubes,” Mater. Design, Vol. 23, pp. 217–222, 2002.
E, D. X. and Chen, M., “Numerical Solution of Thin-walled Tube Bending Springback with Exponential Hardening Law,” Steel Res. Int., Vol. 84, pp. 286–291, 2010.
Murata, M., Kuboki, T., Takahashi, K., Goodarzi, M., and Jin, Y., “Effect of Hardening Exponent on Tube Bending,” J. Mater. Process. Technol., Vol. 201, pp. 189–192, 2008.
Zhan, M., Yang, H., Huang, L., and Gu, R. J., “Springback Analysis of Numerical Control Bending of Thin-walled Tube Using Numerical-analytic Method,” J. Mater. Process. Technol., Vol. 177, pp. 197–201, 2006.
Gu, R. J., Yang, H., Zhan, M., Li, H., and Li, H. W., “Research on the Springback of Thin-walled Tube NC Bending based on the Numerical Simulation of the Whole Process,” Comput. Mater. Sci., Vol. 42, pp. 537–549, 2008.
Li, H., Yang, H., Tian, Y. L., Li, G. J., and Wang, Z. H., “Geometrydependent Springback Behaviors of Thin-walled Tube upon Cold Bending,” Sci. China Tech. Sci., Vol. 55, pp. 1–14, 2012.
Jiang, Z. Q., Yang, H., Zhan, M., Xu, X. D., and Li, G. J., “Coupling Effects of Material Properties and the Bending Angle on the Springback Angle of a Titanium Alloy Tube during Numerically Controlled Bending,” Mater. Design, Vol. 31, pp. 2001–2010, 2010.
Li, H., Yang, H., Song, F. F., Zhan, M., and Li, G. J., “Springback Characterization and Behaviors of High-strength Ti-3Al-2.5V Tube in Cold Rotary Draw Bending,” J. Mater. Process. Technol., Vol. 212, pp. 1973–1987, 2012.
Yang, H., Li, H., and Zhan, M., “Friction Role in Bending Behaviors of Thin-walled Tube in Rotary-draw-bending under Small Bending Radii,” J. Mater. Process. Technol., Vol. 210, pp. 2273–2284, 2011.
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Li, H., Yang, H., Song, FF. et al. Springback nonlinearity of high-strength titanium alloy tube upon mandrel bending. Int. J. Precis. Eng. Manuf. 14, 429–438 (2013). https://doi.org/10.1007/s12541-013-0059-1
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DOI: https://doi.org/10.1007/s12541-013-0059-1