DOI QR코드

DOI QR Code

Failure life estimation of sharp-notched circular tubes with different notch depths under cyclic bending

  • Lee, Kuo-Long (Department of Innovative Design and Entrepreneurship Management, Far East University) ;
  • Chang, Kao-Hua (Department of Mold and Die Engineering, National Kaohsiung University of Applied Sciences) ;
  • Pan, Wen-Fung (Department of Engineering Science, National Cheng Kung University)
  • Received : 2015.11.08
  • Accepted : 2016.07.29
  • Published : 2016.11.10

Abstract

In this paper, the response and failure of sharp-notched 6061-T6 aluminum alloy circular tubes with five different notch depths of 0.4, 0.8, 1.2, 1.6 and 2.0 mm subjected to cyclic bending were experimentally and theoretically investigated. The experimental moment-curvature relationship exhibits an almost steady loop from the beginning of the first cycle. And, the notch depth has almost no influence on its relationship. However, the ovalization-curvature relationship exhibits a symmetrical, increasing, and ratcheting behavior as the number of cycles increases. In addition, a higher notch depth of a tube leads to a more severe unsymmetrical trend of the ovalization-curvature relationship. Focusing on the aforementioned relationships, the finite element software ANSYS was used to continue the related theoretical simulation. Furthermore, the five groups of tubes tested have different notch depths, from which five unparallel straight lines can be observed from the relationship between the controlled curvature and the number of cycles required to produce failure in the log-log scale. Finally, a failure model was proposed to simulate the aforementioned relationship. Through comparison with the experimental data, the proposed model can properly simulate the experimental data.

Keywords

Acknowledgement

Supported by : National Science Council

References

  1. Bechle, N.J. and Kyriakides, S. (2014), "Localization of NiTi tubes under bending", Int. J. Solid. Struct., 51(5), 967-980. https://doi.org/10.1016/j.ijsolstr.2013.11.023
  2. Chang, K.H. and Pan, W.F. (2009), "Buckling life estimation of circular tubes under cyclic bending", Int. J. Solid. Struct., 46(2), 254-270. https://doi.org/10.1016/j.ijsolstr.2008.08.024
  3. Chang, K.H., Pan, W.F. and Lee, K.L. (2008), "Mean moment effect of thin-walled tubes under cyclic bending", Struct. Eng. Mech., 28(5), 495-514. https://doi.org/10.12989/sem.2008.28.5.495
  4. Corona, E. and Kyriakides, S. (1988), "On the collapse of inelastic tubes under combined bending and pressure", Int. J. Solid. Struct., 24(5), 505-535. https://doi.org/10.1016/0020-7683(88)90005-4
  5. Corona, E. and Kyriakides, S. (1991), "An experimental investigation of the degradation and buckling of circular tubes under cyclic bending and external pressure", Thin Wall. Struct., 12(3), 229-263. https://doi.org/10.1016/0263-8231(91)90048-N
  6. Corona, E. and Kyriakides, S. (2000), "Asymmetric collapse modes of pipes under combined bending and external pressure", J. Eng. Mech., 126(12), 1232-1239. https://doi.org/10.1061/(ASCE)0733-9399(2000)126:12(1232)
  7. Corona, E. and Vaze, S. (1996), "Buckling of elastic-plastic square tubes under bending", Int. J. Mech. Sci., 38(7), 753-775. https://doi.org/10.1016/0020-7403(95)00081-X
  8. Corona, E., Lee, L.H. and Kyriakides, S. (2006), "Yield anisotropic effects on buckling of circular tubes under bending", Int. J. Solid. Struct., 43(22-23), 7099-7118. https://doi.org/10.1016/j.ijsolstr.2006.03.005
  9. Corradi, L., Luzzi, L. and Trudi, F. (2005), "Plasticity-instability coupling effects on the collapse of thick tubes", Int. J. Struct. Stabl. Dyn., 5(1), 1-18. https://doi.org/10.1142/S0219455405001428
  10. Elchalakani M. and Zhao X.L. (2008), "Concrete-filled cold-formed circular steel tubes subjected to variable amplitude cyclic pure bending", Eng. Struct., 30(2), 287-299. https://doi.org/10.1016/j.engstruct.2007.03.025
  11. Elchalakani, M., Zhao, X.L. and Grzebieta, R.H. (2002), "Plastic mechanism analysis of circular tubes under pure bending", Int. J. Mech. Sci., 44(6), 1117-1143. https://doi.org/10.1016/S0020-7403(02)00017-6
  12. Elchalakani, M., Zhao, X.L. and Grzebieta, R.H. (2006), "Variable amplitude cyclic pure bending tests to determine fully ductile section slenderness limits for cold-formed CHS", Eng. Struct., 28(9), 1223-1235. https://doi.org/10.1016/j.engstruct.2005.10.022
  13. Fatemi, A., Kenny, S., Sen, M., Zhou, J., Tahern, F. and Paulin, M. (2009), "Parameters affecting buckling and post-buckling behavior of high strength pipelines", Proc. of the 28th International Conference on Ocean, Offshore Mechanics and Arctic Engineering, Hawaii, U.S.A., OMAE2009-79578.
  14. Guo, L., Yang, S. and Jiao, H. (2013), "Behavior of thin-walled circular hollow section tubes subjected to bending", Thin Wall. Struct., 73, 281-289. https://doi.org/10.1016/j.tws.2013.08.014
  15. Hallai, J.F. and Kyriakides, S. (2011), "On the effect of Luders bands on the bending of steel tubes", Int. J. Solid. Struct., 48(24), 3275-3284. https://doi.org/10.1016/j.ijsolstr.2011.06.024
  16. Houliara, S. and Karamanos, S.A. (2006), "Buckling and post-buckling of long pressurized elastic thinwalled tubes under in-plane bending", Int. J. Nonlin. Mech., 41(4), 491- 511. https://doi.org/10.1016/j.ijnonlinmec.2005.11.002
  17. Jiao, H. and Zhao, X.L. (2004), "Section slenderness limits of very high strength circular steel tubes in bending", Thin Wall. Struct., 42(9), 1257-1271. https://doi.org/10.1016/j.tws.2004.03.020
  18. Kyriakides, S. and Shaw, P.K (1987), "Inelastic buckling of tubes under cyclic loads", ASME J. Press. Ves. Tech., 109(2), 169-178. https://doi.org/10.1115/1.3264891
  19. Kyriakides, S., Ok, A., and Corona, E. (2008), "Localization and propagation of curvature under pure bending in steel tubes with Luders bands", Int. J. Solid. Struct., 45(10), 3074 -3087. https://doi.org/10.1016/j.ijsolstr.2008.01.013
  20. Lee, K.L. (2010), "Mechanical behavior and buckling failure of sharp-notched circular tubes under cyclic bending", Struct. Eng. Mech., 34(3), 367-376. https://doi.org/10.12989/sem.2010.34.3.367
  21. Lee, K.L. Chung, C.C. and Pan, W.F. (2016), "The effect of notch direction on the stability of local sharpnotched circular tubes under cyclic bending", Int. J. Appl. Mech.. (in press)
  22. Lee, K.L., Hsu, C.M. and Pan, W.F. (2013), "Viscoplastic collapse of sharp-notched circular tubes under cyclic bending", Acta Mech. Solida Sinica, 26(6), 629-641. https://doi.org/10.1016/S0894-9166(14)60007-0
  23. Lee, K.L., Hsu, C.M. and Pan, W.F. (2014), "Response of sharp-notched circular tubes under bending creep and relaxation", Mech. Eng. J., 1(2), 1-14.
  24. Lee, K.L., Hung, C.Y. and Pan, W.F. (2010), "Variation of ovalization for sharp-notched circular tubes under cyclic bending", J. Mech., 26(3), 403-411. https://doi.org/10.1017/S1727719100003968
  25. Lee, K.L. Meng, C.H. and Pan, W.F. (2014), "The influence of notch depth on the response of local sharpnotched circular tubes under cyclic bending", J. Appl. Math. Phy., 2(6), 335-341. https://doi.org/10.4236/jamp.2014.26040
  26. Lee, K.L., Pan, W.F. and Hsu, C.M. (2004), "Experimental and theoretical evaluations of the effect between diameter-to-thickness ratio and curvature-rate on the stability of circular tubes under cyclic bending", JSME Int. J., Ser. A, 47(2), 212-222. https://doi.org/10.1299/jsmea.47.212
  27. Lee, K.L., Pan, W.F. and Kuo, J.N. (2001), "The influence of the diameter-to-thickness ratio on the stability of circular tubes under cyclic bending", Int. J. Solid. Struct., 38(14), 2401-2413. https://doi.org/10.1016/S0020-7683(00)00116-5
  28. Limam, A., Lee, L.H. and Kyriakides, S. (2012), "On the collapse of dented tubes under combined bending and internal pressure", Int. J. Solid. Struct., 55(1), 1-12.
  29. Limam, A., Lee, L.H., Corana, E. and Kyriakides, S. (2010), "Inelastic wrinkling and collapse of tubes under combined bending and internal pressure", Int. J. Mech. Sci., 52(5), 37-47.
  30. Mathon, C. and Liman, A. (2006), "Experimental collapse of thin cylindrical shells submitted to internal pressure and pure bending", Thin Wall. Struct., 44(1), 39-50. https://doi.org/10.1016/j.tws.2005.09.006
  31. Pan, W.F. and Her, Y.S. (1998), "Viscoplastic collapse of thin-walled tubes under cyclic bending", ASME J. Eng. Mat. Tech., 120(4), 287-290. https://doi.org/10.1115/1.2807015
  32. Pan, W.F., Wang, T.R. and Hsu, C.M. (1998), "A curvature-ovalization measurement apparatus for circular tubes under cyclic bending", Exp. Mech., 38(2), 99-102. https://doi.org/10.1007/BF02321651
  33. Sakakibara, N., Kyriakides, S. and Corona, E. (2008), "Collapse of partially corrodes or worn pipe under external pressure", Int. J. Mech. Sci., 50(12), 1586-1597. https://doi.org/10.1016/j.ijmecsci.2008.10.006
  34. Shariati, M., Kolasangiani, K., Norouzi, G.. and Shahnavaz, A. (2014), "Experimental study of SS316L cantilevered cylindrical shells under cyclic bending load", Thin Wall. Struct., 82, 124-131. https://doi.org/10.1016/j.tws.2014.03.010
  35. Shaw, P.K. and Kyriakides, S. (1985), "Inelastic analysis of thin-walled tubes under cyclic bending", Int. J. Solid. Struct., 21(11), 1073-1110. https://doi.org/10.1016/0020-7683(85)90044-7
  36. Suzuki, N., Tajika, H., Igi, S., Okatsu, M., Kondo, J. and Arakawa, T. (2010), "Local buckling behavior of 48 high-strain line pipes", Proc. of the 8th International Pipeline Conference, Alberta, Canada, ICP2010-31637.
  37. Vaze, S. and Corona, E. (1998), "Degradation and collapse of square tubes under cyclic bending", Thin Wall. Struct., 31(4), 325-341. https://doi.org/10.1016/S0263-8231(98)00018-4
  38. Yazdani, H. and Nayebi, A. (2013), "Continuum damage mechanics analysis of thin-walled tube under cyclic bending and internal constant pressure", Int. J. Appl. Mech., 5(4), 1350038 [20 pages]. https://doi.org/10.1142/S1758825113500385
  39. Yuan, W. and Mirmiran, A. (2001), "Buckling analysis of concrete-filled FRP tubes", Int. J. Struct. Stabl. Dyn., 1(3), 367-383. https://doi.org/10.1142/S0219455401000251

Cited by

  1. Out-of-plane ductile failure of notch: Evaluation of Equivalent Material Concept vol.75, pp.5, 2020, https://doi.org/10.12989/sem.2020.75.5.559
  2. Influence of redundant hole on the degradation and failure of round-hole tubes under cyclic bending vol.44, pp.5, 2021, https://doi.org/10.1080/02533839.2021.1919565
  3. Response of round-hole tubes submitted to pure bending creep and pure bending relaxation vol.13, pp.9, 2016, https://doi.org/10.1177/16878140211049124
  4. Mean curvature effect on the response and failure of round-hole tubes submitted to cyclic bending vol.13, pp.11, 2021, https://doi.org/10.1177/16878140211062273