Structural Engineering and Mechanics

  • 제56권3호
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  • Pages.369-383
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  • 2015
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Springback FE modeling of titanium alloy tubes bending using various hardening models

  • Shahabi, Mehdi (Department of Mechanical Engineering, Shiraz University) ;
  • Nayebi, Ali (Department of Mechanical Engineering, Shiraz University)
  • 투고 : 2015.01.02
  • 심사 : 2015.10.20
  • 발행 : 2015.11.10
⟨ 이전 논문 다음 논문 ⟩

초록

In this study, effect of various material hardening models based on Holloman's isotropic, Ziegler's linear kinematic, non-linear kinematic and mixture of the isotropic and nonlinear kinematic hardening laws on springback prediction of titanium alloy (Ti-3Al-2.5V) in a tube rotary draw bending (RDB) process was investigated with presenting the keynotes for a comprehensive step by step ABAQUS simulation. Influence of mandrel on quality of the final product including springback, wall-thinning and cross-section deformation of the tube was investigated, too. Material parameters of the hardening models were obtained based on information of a uniaxial test. In particular, in the case of combined iso-nonlinear kinematic hardening the material constants were calibrated by a simple approach based on half-cycle data instead of several stabilized cycles ones. Moreover, effect of some material and geometrical parameters on springback was carried out. The results showed that using the various hardening laws separately cannot describe the material hardening behavior correctly. Therefore, it is concluded that combining the hardening laws is a good idea to have accurate springback prediction. Totally the results are useful for predicting and controlling springback and cross-section deformation in metal forming processes.

키워드

참고문헌

  1. Alexandrov, S. and Hwang, Y.M. (2011), "Influence of Bauschinger effect on springback and residual stresses in plane strain pure bending", Acta Mechanica, 220, 47-59. https://doi.org/10.1007/s00707-011-0469-z
  2. Al-Qureshi, H.A. and Russo, A. (2002), "Spring-back and residual stresses in bending of thin-walled aluminum tubes", Mater. Des., 23, 217-222. https://doi.org/10.1016/S0261-3069(01)00061-9
  3. Aretz, H. (2004), "Applications of a new plane stress yield function to orthotropic steel and aluminum sheet metals", Model. Simul. Mater. Sci. Eng., 12, 491-509. https://doi.org/10.1088/0965-0393/12/3/010
  4. Boyer, R. (1996), "An overview on the use of titanium in the aerospace industry", Mater. Sci. Eng. A, 213, 103-114. https://doi.org/10.1016/0921-5093(96)10233-1
  5. Chatti, S. and Hermi, N. (2011), "The effect of non-linear recovery on springback prediction", J. Comput. Struct., 89, 1367-1377. https://doi.org/10.1016/j.compstruc.2011.03.010
  6. Chatti, S. and Fathallah, R. (2012), "A study of the variations in elastic modulus and its effect on springback prediction", Int. J. Mater. Form., 7, 19-29.
  7. Chu, C. (1986), "Elastic-plastic springback of sheet metals subjected to complex plane strain bending histories", Int. J. Solid. Struct., 22, 1071-81. https://doi.org/10.1016/0020-7683(86)90018-1
  8. Cleveland, R.M. and Ghosh, A.K. (2002), "Inelastic effects on springback in metals", Int. J. Plast., 18, 769-785. https://doi.org/10.1016/S0749-6419(01)00054-7
  9. Feifei, S., He, Y., Heng, L., Mei, Z. and Guangjun, L. (2013), "Springback prediction of thick-walled high-strength titanium tube bending", Chin. J. Aeronaut., 26, 1336-1345. https://doi.org/10.1016/j.cja.2013.07.039
  10. Gau, J.T. and Kinzel, G.L. (2001), "A new model for springback prediction in which the Bauschinger effect is considered", Int. J. Mech. Sci., 43, 1813-1832. https://doi.org/10.1016/S0020-7403(01)00012-1
  11. Heng, L., He, Y., Mei, Z., Zhichao, S. and Gu, R. (2007), "Role of mandrel in NC precision bending process of thin-walled tube", Int. J. Mach. Tool. Manuf., 47, 1164-1175. https://doi.org/10.1016/j.ijmachtools.2006.09.001
  12. Imaoka, S. (2008), "Chaboche nonlinear kinematic hardening model", Memo Number of STI0805A.
  13. Jan, S. and Miroslav, J. (2013), "Analytical and numerical prediction of springback in sheet metal bending", J. Tech. Plast., 38, 169-177.
  14. Jiang, Z.Q., Yang, H., Zhan, M., Xu, X.D. and Li, G.J. (2010), "Coupling effects of material properties and the bending angle on the springback angle of a titanium alloy tube during numerically controlled bending", Mater. Des., 31, 2001-2010. https://doi.org/10.1016/j.matdes.2009.10.029
  15. Kadkhodayan, M. and Zafarparandeh, I. (2009), "An investigation into the influence of blankholder force on springback in U-bending", Arch. Metal. Meter., 54, 1183-1190.
  16. Kitayama, S. and Yoshioka, H. (2014), "Springback reduction with control of punch speed and blank holder force via sequential approximate optimization with radial basis function network", Int. J. Mech. Mater. Des., 10, 109-119. https://doi.org/10.1007/s10999-013-9234-x
  17. Lee, K.L. (2010), "Mechanical behavior and buckling failure of sharp-notched circular tubes under cyclic bending", Struct. Eng. Mech., 34, 367-376. https://doi.org/10.12989/sem.2010.34.3.367
  18. Lemaitre, J. and Chaboche, J.L. (1990), Mechanics of Solid Materials, Cambridge University press, USA, New York.
  19. Li, H., Yang, H., Song, F.F., Zhan, M. and Li, G.J. (2012), "Springback characterization and behaviors of high-strength Ti-3Al-2.5V tube in cold rotary draw bending", J. Mater. Pr. Tech., 212, 1973-1987. https://doi.org/10.1016/j.jmatprotec.2012.04.022
  20. Liu, J., Yang, H., Zhan, M. and Jiang, Z. (2012), "Accurate prediction of the profile of thick-walled titanium alloy tube in rotary-draw bending considering strength-differential effect", Comput. Mater. Sci., 60, 113-122. https://doi.org/10.1016/j.commatsci.2012.02.029
  21. Osman, M.A., Shazly, M., El-Mokaddem, A. and Wifi, A.S. (2010), "Springback prediction in V-diebending: modelling and experimentation", J. Achiev. Mater. Manuf. Eng., 38(2), 179-186.
  22. Sathish Gandhi, V.C., Kumaravelan, R. and Ramesh, S. (2014), "Performance analysis of spherical indentation process during loading and unloading- a contact mechanics approach", Struct. Eng. Mech., 52, 469-483. https://doi.org/10.12989/sem.2014.52.3.469
  23. Sato, M. and Ishiwata, Y. (2015), "Brazier effect of single- and double-walled elastic tubes under pure bending", Struct. Eng. Mech., 53, 17-26. https://doi.org/10.12989/sem.2015.53.1.017
  24. Shahabi, M. and Nayebi, A. (2015), "Springback modeling in L-bending process using continuum damage mechanics concept", J. Appl. Comput. Mech., 1, 161-167.
  25. Vrh, M., Halilovic, M. and Starman, B.A. (2011), "new anisotropic elasto-plastic model with degradation of elastic modulus for accurate springback simulations", Int. J. Mater. Form., 4, 217-225. https://doi.org/10.1007/s12289-011-1029-8
  26. Wenner, M.L. (1983), "On the work hardening and springback in plane strain draw forming", J. Appl. Metal Work., 2, 277-287. https://doi.org/10.1007/BF02833912
  27. Yi, H.K., Kim, D.W., Van Tyne, C.J. and Moon, Y.H. (2008), "Analytical prediction of springback based on residual differential strain during sheet metal bending", Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 222, 117-129.
  28. Yoshida, F. and Uemori, T. (2002), "A model of large-strain cyclic plasticity describing the Bauschinger effect and work hardening stagnation", Int. J. Plast., 18, 661-686. https://doi.org/10.1016/S0749-6419(01)00050-X
  29. Yu, T. and Johnson, W. (1982), "Influence of axial force on the elastic-plastic bending and springback of a beam", J. Mech. Work. Tech., 6, 5-21. https://doi.org/10.1016/0378-3804(82)90016-X
  30. Zhao, G.Y., Liu, Y.L., Yang, H., Lu, C.H. and Gu, R.J. (2009), "Three-dimensional finite-elements modeling and simulation of rotary-draw bending process for thin-walled rectangular tube", Mater. Sci. Eng. A, 499, 257-261. https://doi.org/10.1016/j.msea.2007.11.127
  31. Zhiqiang, J., Mei, Z., He, Y., Xudong, X.U. and Guangjun, L.I. (2011), "Deformation behavior of medium-strength TA18 high-pressure tubes during NC bending with different bending radii", Chin. J. Aeronaut., 24, 657-664. https://doi.org/10.1016/S1000-9361(11)60077-0

피인용 문헌

  1. Effect of continuum damage mechanics on springback prediction in metal forming processes vol.31, pp.5, 2017, https://doi.org/10.1007/s12206-017-0419-3
  2. Finite element simulation study on residual cross-sectional ovalization of thin-walled circular steel tubes in continuous rotary straightening process pp.1433-3015, 2019, https://doi.org/10.1007/s00170-019-03378-x