DOI QR코드

DOI QR Code

Practical estimation of the plastic collapse limit of curved pipes subjected to complex loading

  • Yan, A.M. (LTAS-University of Liege) ;
  • Nguyen, D.H. (LTAS-University of Liege) ;
  • Gilles, Ph. (Framatome)
  • Published : 1999.10.25

Abstract

In this paper a practical limit load estimating procedure is proposed for general pipe-elbow structures subjected to complex loading (in-plane and out-of-plane bending, internal pressure and axial force). The explicit calculating formulae are presented on the basis of theoretical analysis combined with numerical simulation. Von Mises' yield criterion is adopted in both analytical and numerical calculation. The finite element examination shows that the method provides a simple but satisfactory prediction of pipe structures in engineering plastic analysis.

Keywords

References

  1. ASME Boiler and Pressure Vessel Code, Section III, Nuclear Power Plant Components, Subsection NB, Class 1 Components, 1989.
  2. Bolt, S.E. and Greenstreet, W.L. (1971), "Experimental determination of plastic collapse loads for pipe elbows" , ASME paper 71-PVP-37.
  3. Calladine, C.R. (1974), "Limit analysis of curved tubes", Journal Mechanical Engineering Science, 16(2), 85-87. https://doi.org/10.1243/JMES_JOUR_1974_016_016_02
  4. Chen, W.F. and Han, D.J. (1988), Plasticity of Structural Engineers, Springer-Verlag, N.Y.
  5. Clark, R.A. and Reissner, E. (1951) "Bending of curved tubes", Advances in Applied Mechanics, 2, 93- 122. https://doi.org/10.1016/S0065-2156(08)70299-0
  6. Corona, E. and Kyriakides, S. (1988), "On the collapse of inelastic tubes under combined bending and pressure" , Int. J. Solids Structures, 24(5), 505-535. https://doi.org/10.1016/0020-7683(88)90005-4
  7. Desquines, J. Plancq, D. and Wielgosz, Ch. (1997), "In-plane limit moment for an elbow lower bound analytical solution and finite element processing by elastic compensation method", Int J. Ves. Piping, 71, 29-34. https://doi.org/10.1016/S0308-0161(96)00038-5
  8. Edmunds, H.G. and Beer, F.J., (1961), "Notes on incremental collapse in pressure vessels" , Journal of Mechanical Engineering Science, 3(3), 187-199. https://doi.org/10.1243/JMES_JOUR_1961_003_026_02
  9. Gilles, Ph., Bois, C. and Nguyen, D.H. (1996), "J estimation scheme for surface cracked pipes under complex loading: Part I Theoretical basis, Part II Complex shaped elbow solution" , Proceedings of ECF11 Conference, Poitiers, France.
  10. Gokhfeld, D.A. and Cherniavsky, O.F. (1980), Limit Analysis of Structures at Thermal Cycling, Sijthoff and Noordhoff, The Netherlands,
  11. Goodall, I.W. (1978), "Lower bound limit analysis of curved tubes loaded by combined internal pressure and in-plane bending moment" , CEGB-RD/B/N4360, UK.
  12. Griffiths, J.E. (1979), "The effect of cracks on the limit load of pipe bends under in-plane bending: experimental study" , Int. J. Mech. Sci., 21, 119-130. https://doi.org/10.1016/0020-7403(79)90038-9
  13. Hodge, P.G. Jr. (1961), "The Mises yield condition for rotationally symmetric shells", Quarterly of Applied Mechanics, 18(4), 305-311.
  14. Joch, J., Ainsworth, R.A. and Hyde, T.H. (1993), "Limit load and J-estimates for idealised problems of deeply cracked welded joints in plane-strain bending and tension", Fatigue Fract. Engng Mater. Struct., 16(10), 1061-1079. https://doi.org/10.1111/j.1460-2695.1993.tb00078.x
  15. Konig, J.A. (1987), Shakedown of Elastic - Plastic Structure, Elsevier and PWN-Polish Scientific Publishers.
  16. Kussmaul, K., Diem, H.K. and Uhlmann, D. Kobes, E. (1995), "Pipe bend behaviour at load levels beyond design", Transactions of the 13th Int. Conf. On Structural Mechanics in Reactor Technology (SMiRT 13), Porto Alegre, Brazil, August, 187-198.
  17. Marcal, P.V. and Tumer, C.E. (1961), "Elastic solution in the limit analysis of shells of revolution with special reference to expansion bellows" , Journal of Mechanical Engineering Science, 3(3), 252-257. https://doi.org/10.1243/JMES_JOUR_1961_003_032_02
  18. Marcal, P.V. (1967), "Elastic-plastic behaviours of pipe bends with in-plane bending", Journal Strain Analysis, 2(1), 84-90. https://doi.org/10.1243/03093247V021084
  19. Martin, J.B. (1975), Plasticity, MIT Press, Cambridge.
  20. Mroz, Z. Weichert, D. and Dorosz, S. (1995), "Inelastic behaviour of structures under variable loading" , Proceedings of EURMECH Colloquium 298, Kluwer Academic Publishers.
  21. Spence, J. and Findlay, G.E. (1973), "Limit loads of pipe bends under in-plane bending" , Proc. 2nd Int. Conf. on Pressure Vessel Technology, 1, ASME, 393-399.
  22. Touboul, F., Ben Djedidia, M., Acker, D. (1988), "Stress index method of design: application to in-plane closing collapse of elbows" , Int. J. of Pres. Ves. and Piping, 33, 153-164. https://doi.org/10.1016/0308-0161(88)90068-3
  23. Save, M. Jospin, R.J. and Nguyen, D.H. (1995), "Limit loads of pipe elbows", Nuclear Science and Technology, Report EUR 15696 EN, European Commission.
  24. Yan, A.M. (1997a), "Contributions to the direct limit state analysis of plastified and cracked structures" , PhD Thesis, University of Liege.
  25. Yan, A.M. and Nguyen, D.H. (1997b), "Application of shakedown methods to piping", Report of Project RAI-0235UK, European Commission.
  26. Yan, A.M. and Nguyen, D.H. (1997c), "Plastic collapse of curved pipes and shells by finite element method and mathematical programming technique" , Proceedings of lASS International Colloquium on Computation of Shell and Spatial Structures, Taipai, 5-7 November.
  27. Yan, A.M., Nguyen, D.H. and Jospin, R.J. (1997d), "Internal pressure effects on the limit load of elbows", Proceedings of International Symposium on Shell and Spatial Structures, Singapore, 10-14 November, 911-920.

Cited by

  1. An enhanced pipe elbow element?application in plastic limit analysis of pipe structures vol.46, pp.3, 1999, https://doi.org/10.1002/(SICI)1097-0207(19990930)46:3<409::AID-NME682>3.0.CO;2-N
  2. The development of studying flexible pipe bend reinforced by Kevlar fibers vol.2, pp.2, 2003, https://doi.org/10.1007/BF02918665