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  • 1 Northwest University, Xi’an 710069, China
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In the present paper, various formulae for evaluating critical buckling strain of bending pipeline are analyzed on basis of its actual nature, available test data or finite element calculation results. The available test data is from different resources, it provides a more objective comparison; Especially, the experimental bending buckling data of Corona et al. and Kyriakides et al. for Al-6061-T6 aluminum pipes with various D/t value, as well as the prediction of Minnaar’s FEM regressive formula for high grade steel pipe are reanalyzed to check the reasonability of the plastically elliptical cross-section model. It shows that the consequence of the plastically elliptical cross-section model is more reasonable than others for the critical buckling strain prediction of a pipe bending in most cases.

  • [1]

    Ji L. K. , Zheng M., et al. (2015), Apparent strain of a pipe at plastic bending buckling state. J. of the Brazilian Soc. of Mech. Sci. & Eng., 37, 18111818.

    • Search Google Scholar
    • Export Citation
  • [2]

    Robertson A. , Li H., Mackenzie D. (2005), Plastic collapse of pipe bends under combined internal pressure and in-plane bending. International Journal of Pressure Vessels and Piping, 82, 407416.

    • Search Google Scholar
    • Export Citation
  • [3]

    Brazier L. G. (1927), On the flexure of thin cylindrical shells and other thin sections. Proc. Roy. Sot. Series A, 116, 104114.

  • [4]

    Seide P. , Weingarten V. I. (1961), On the buckling of circular cylindrical shells under pure bending. J. Appl. Mech., ASME, 28, 112116.

    • Search Google Scholar
    • Export Citation
  • [5]

    Fabian O. (1977), Collapse of cylindrical elastic tubes under combined bending, pressure and axial loads, ht. J. Solids Structures, 13, 12571270.

    • Search Google Scholar
    • Export Citation
  • [6]

    Li L.Y. (1996), Approximate estimates of dynamic instability of long circular cylindrical shells under pure bending. Int. J. Pres. Ves. & Piping, 61, 3740.

    • Search Google Scholar
    • Export Citation
  • [7]

    Jirsa J. O. , Lee F. K., Wilhoit J. C., Merwin J. E. (1970), Ovaling of pipeline under pure bending. Proc. Offshore Tech. Conf., OTC 1569, I, 573582.

    • Search Google Scholar
    • Export Citation
  • [8]

    Sherman D. R. (1976), Tests of circular steel tubes in bending. J. Struct. Div. ASCE, 102, 21812195.

  • [9]

    Reddy B. D. (1979), An experimental study of the plastic buckling of circular cylinders in pure bending. Int. J. Solids Structures, 15, 669683.

    • Search Google Scholar
    • Export Citation
  • [10]

    Gellin S. (1980), The plastic buckling of long cylindrical shells under pure bending. Int. J. Solids Structures, 16, 397407.

  • [11]

    Bushnell D. (1981), Elastic-plastic bending and buckling of pipes and elbows. Comp. Struct., 13, 241254.

  • [12]

    Calladine C. R. (1983), Plastic buckling of tubes in pure bending. In: Collapse, the Buckling of Structures in Theory and Practice (ed. J. M. T. Thompson and G. W. Hunt), Cambridge University Press, Cambridge, pp. 111124.

    • Search Google Scholar
    • Export Citation
  • [13]

    Kyriakides S. , Shaw P. K. (1987), Inelastic bending of tubes under cyclic loading. J. Pressure Vessel Tech., ASME, 109, 169178.

  • [14]

    Wadee M. Khurram , Wadee M. Ahmer, Bassom Andrew P., Aigner Andreas A. (2006), Longitudinally inhomogeneous deformation patterns in isotropic tubes under pure bending. Proc. R. Soc. A, 462, 817838.

    • Search Google Scholar
    • Export Citation
  • [15]

    Grognec Philippe Le , van Anh Le (2009), Some new analytical results for plastic buckling and initial post-buckling of plates and cylinders under uniform compression. Thin-Walled Structures, 47, 879889.

    • Search Google Scholar
    • Export Citation
  • [16]

    Poonaya S. , Teeboonma U., Thinvongpituk C. (2009), Plastic collapse analysis of thin-walled circular tubes subjected to bending. Thin-Walled Structures, 47, 637645.

    • Search Google Scholar
    • Export Citation
  • [17]

    Ranzi G. , Luongo A. (2011), A new approach for thinwalled member analysis in the frame work of GBT. Thin-Walled Structures, 49, 14041414.

    • Search Google Scholar
    • Export Citation
  • [18]

    Christo M. T. , Veerappan A. R., Shanmugam S. (2012), Effect of ovality and variable wall thickness on collapse loads in pipe bends subjected to in-plane bending closing moment. Engineering Fracture Mechanics, 79, 138148.

    • Search Google Scholar
    • Export Citation
  • [19]

    Gayan R. , Ruan D, Hajj M., Durandet Y. (2014), Performance of aluminium / Terocore hybrid structures in quasi-static three-point bending: Experimental and finite element analysis study. Materials and Design, 54, 880892.

    • Search Google Scholar
    • Export Citation
  • [20]

    Li H. L. (2008), Development and application of strain based design and anti-large-strain pipeline steel. Petroleum Sci. & Tech. Forum (in Chinese), 27(2), 1925.

    • Search Google Scholar
    • Export Citation
  • [21]

    Dorey A. B. , Murray D. W., Cheng J. J. R. (2000), An experimental evaluation of critical buckling strain criteria. 2000 International Pipeline Conference, Vol. 1, Calgary, Alberta, Canada, October 1–5, pp. 7180.

    • Search Google Scholar
    • Export Citation
  • [22]

    Dorey A. B. , Murray D. W., Cheng J. J. (2006), Critical buckling strain equations for energy pipelines–A parametric study. Transaction of the ASME, 128, 248255.

    • Search Google Scholar
    • Export Citation
  • [23]

    Vitali L. , Bruschi R., Mork K. J. et al. (1999), Hotpipe project-capacity of pipes subjected to internal pressure, axial force and bending moment [C]. In: Proceedings of the 9th International Offshore and Polar Engineering Conference. Brest: The international Society off Offshore and Polar Engineering, pp. 2233.

    • Search Google Scholar
    • Export Citation
  • [24]

    Sherman D. (1976), Tests of circular steel tubes in bending [J]. ASCE Journal of Structural Division, 102, 21812195.

  • [25]

    Stephens D. R. , Olson R. J., Rosenfeld M. J. (1991), Topical Report on Pipeline Monitoring-limit State Criteria [R]. Columbus: Battelle, NG-18 Report No. 188.

    • Search Google Scholar
    • Export Citation
  • [26]

    Canadian Standards Association (2007), Z662-07 Oil and gas pipeline systems and Special Publication, Z662.1-07. Commentary on CSA Z662-07, Oil and gas pipeline systems.

    • Search Google Scholar
    • Export Citation
  • [27]

    DNV, Offshore Standard (2000), DNV-OS-F101, Submarine Pipeline Systems, Det Norske Veritas, J.

  • [28]

    Wierzbicki T. , Sinmao Monique V. (1997), A simplified model of Brazier effect in plastic bending of cylindrical tubes. Int. J. Pres. Ves. & Piping, 71, 1928.

    • Search Google Scholar
    • Export Citation
  • [29]

    Corona E. , Lee L.-H., Kyriakides S. (2006), Yield anisotropy effects on buckling of circular tubes under bending. Int. J. of Solids Structures, 43, 70997118.

    • Search Google Scholar
    • Export Citation
  • [30]

    Kyriakides S. , Ju G. T. (1992), Bifurcation and location instability in cylindrical shells under bending–I experiments. Int. J. of Solids Structures, 29(9), 11171142.

    • Search Google Scholar
    • Export Citation
  • [31]

    Minnaar K. , Duffy B. W., Olso E. et al. (2004), Structural design capacity of X120 linpipe[C]. In: Proceedings of International Pipeline Conference. Calgary, Canada, pp. 17511760.

    • Search Google Scholar
    • Export Citation
  • [32]

    Zhang X. , Feng Y., Zhao W. et al. (2006), Microstructure and mechanical properties of X80 pipeline steel. Special Steel., 27(3), 1117.

    • Search Google Scholar
    • Export Citation
  • [33]

    Wang Y. , Zhao Z., Zhu T. (2012), Microstructure and mechanical properties of high strength steels. Materials and Heat Treatment, 33(11), 117121.

    • Search Google Scholar
    • Export Citation
  • [34]

    Guarracino F. , Fraldi M., Giordano A. (2008), Analysis of testing methods of pipelines for limit state design. Applied Ocean Research, 30, 297304.

    • Search Google Scholar
    • Export Citation
  • [35]

    Gresnigt A. M. , van Foeken R. J. (2001), Local buckling of UOE and seamless steel pipes. Paper No. AMG-2001-04. In: ISOPE conference, pp. 131142.

    • Search Google Scholar
    • Export Citation