Steel and Composite Structures

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Evaluation of limit load analysis for pressure vessels - Part II: Robust methods

  • Chen, Xiaohui (School of Control Engineering, Northeastern University) ;
  • Gao, Bingjun (School of Chemical Engineering and Technology, Hebei University of Technology) ;
  • Wang, Xingang (School of Control Engineering, Northeastern University)
  • Received : 2016.05.20
  • Accepted : 2016.11.29
  • Published : 2017.01.20
⟨ Previous Next ⟩

Abstract

Determining limit load for a pressure bearing structure using elastic-plastic finite element analysis was computationally very expensive. A series of robust methods using elastic modulus adjustment techniques (EMAP) to identify the limit load directly were proposed. The numerical implementation of the robust method had the potential to be an attractive alternative to elastic-plastic finite element analysis since it was simple, and required less computational effort and computer storage space. Another attractive feature was that the method provided a go/no go criterion for the limit load, whereas the results of an elastic-plastic analysis were often difficult to interpret near the limit load since it came from human sources. To explore the performance of the method further, it was applied to a number of configurations that include two-dimensional and three-dimensional effects. In this study, limit load of cylinder with nozzle was determined by the robust methods.

Keywords

Acknowledgement

Supported by : Doctoral Scientific Research Foundation of Liaoning Province, Central Universities, National Natural Science Foundation of China

References

  1. Abdalla, H.F., Megahed, M.M. and Younana, M.Y.A. (2011a), "A simplified technique for shakedown limit load determination of a large square plate with a small central hole under cyclic biaxial loading", Nucl. Eng. Des., 241(3), 657-665. https://doi.org/10.1016/j.nucengdes.2010.11.019
  2. Abdalla, H.F., Megahed, M.M. and Younan, M.Y.A. (2011b), "Shakedown limit loads for 90 degree scheduled pipe bends subjected to steady internal pressure and cyclic bending moments", ASME J. Press. Vessel Technol., 133(3), 031207-1-7. https://doi.org/10.1115/1.4002055
  3. Adibi-Asl, R. (2008), "Simplified limit load determination for integrity assessment", Ph.D. Dissertation; Memorial University of Newfoundland, St John's, Canada.
  4. Adibi-Asl, R., Fanous, I.F. and Seshadri, R. (2006), "Elastic modulus adjustment procedures - Improved convergence schemes", Int. J. Press. Vessels Pip., 83(2), 154-160. https://doi.org/10.1016/j.ijpvp.2005.11.002
  5. Adluri, S.M.R. (1999), "Robust estimate of limit loads of steel structures using modified geometric properties of members", MUN EAST Report No: 99-1, Eng. & App. Sc. Res. Rep. Series, Faculty of Engineering, Memorial University, St John's, Canada.
  6. Aman Ahmed Bolar, B.E. (2001), "Robust estimation of kimit koads of plates using secant rigidity", Ph.D. Dissertation; Memorial University of Newfoundland, St John's, Canada.
  7. Anderson, R.G., Gardner, L.R.T. and Hodgkins, W.R. (1963), "Deformation of uniformly loaded beams obeying complex creep laws", J. Mech. Eng. Sci., 5(3), 238-244. https://doi.org/10.1243/JMES_JOUR_1963_005_033_02
  8. Calladine, C.R. (2000), Plasticity for Engineers, Horwood Publisheing, Chichester, UK.
  9. Calladine, C.R. and Drucker, D.C. (1962), "A bound method for creep analysis of structures: Direct use of solutions in elasticity and plasticity", J. Mech. Eng. Sci., 4(1), 1-11. https://doi.org/10.1243/JMES_JOUR_1962_004_003_02
  10. Chen, F. (2005), "Investigation on the limit and burst pressures for the vessels with nozzle", Ph.D. Dissertation; Nanjing University of Technology, Nanjing, China.
  11. Chen, X.H. and Chen, X. (2016), "Effect of local wall thinning on ratcheting behavior of pressurized $90^{\circ}$ elbow pipe under reversed bending using finite element analysis", Steel Compos. Struct., Int. J., 20(4), 931-950. https://doi.org/10.12989/scs.2016.20.4.931
  12. Chen, H.F., Ure, J., Chen, W. and Mackenzie, D. (2011), "Shakedown and limit analysis of $90^{\circ}$ pipe bends under internal pressure, cyclic in-plane bending and cyclic thermal loading", Int. J. Press. Vessels Pip., 88(5-7), 213-222. https://doi.org/10.1016/j.ijpvp.2011.05.003
  13. Chen, H.F., Chen, W., Li, T. and Ure, J. (2012), "On shakedown, ratchet and limit analysis of defective pipeline", ASME J. Press. Vessel Technol., 134(1), 011202-1-8. https://doi.org/10.1115/1.4004801
  14. Chen, X., Chen, X., Chen, G. and Li, D.M. (2015), "Ratcheting behavior of pressurized Z2CND18.12N stainless steel pipe under different control modes", Steel Compos. Struct., Int. J., 18(1), 29-50. https://doi.org/10.12989/scs.2015.18.1.029
  15. Dhalla, A.K. (1984), "Verification of an elastic procedure to estimate elastic follow-up", J. Press. Vessel Technol., 108(4), 461-469. https://doi.org/10.1115/1.3264813
  16. Dhalla, A.K. (1987), "A simplified procedure to classify stresses for elevated temperature service", Design and Analysis of Piping, Pressure Vessels and Components: Pressure Vessels and Piping Division, ASME, 120, 177-188.
  17. Dhalla, A.K. and Jones, G.L. (1981), "Classification of clamp induced stresses in thin-walled pipes", Proceedings of ASME Pressure Vessels and Piping Conference, Denver, CO, USA, June, 81, pp. 17-23.
  18. Dhalla, A.K. and Jones, G.L. (1986), "ASME code classification of pipe stresses: A simplified elastic procedure", Int. J. Press. Vessels Pip., 26(2), 145-166. https://doi.org/10.1016/0308-0161(86)90038-4
  19. Engelhardt, M.J. (1999), "Computational modelling of shakedown", Ph.D. Dissertation; University of Leicester, Britain.
  20. Fanous, I.F.Z. (2008), "Advances in robust methods for limit load analysis", Ph.D. Dissertation; Memorial University of Newfoundland, St John's, Canada.
  21. Freeman, E.R. (2000), "Robust methods of finite element analysis: Evaluation of non-linear, lower bound limit loads of plated structures and stiffening members", Master Dissertation; Memorial University of Newfoundland, St John's, Canada.
  22. Habibullah, M.S.M.M. (2003), "The development of computational methods for cracked bodies subjected to cyclic variable loads and temperatures", Ph.D. Dissertation; University of Leicester, Britain.
  23. Hardy, S.J., Gowhari-Anaraki, A.R. and Pipelzadeh, M.K. (2001), "Upper and lower bound limit and shakedown loads for hollow tubes with axisymmetric internal projections under axial loading", J. Strain Anal. Eng. Des., 36(6), 595-604. https://doi.org/10.1243/0309324011514737
  24. Hossain, M.M. (2009), "Simplified design and integrity assessment of pressure components and structures", Ph.D. Dissertation; Memorial University of Newfoundland, St John's, Canada.
  25. Lee, K.H., Xu, Y.H., Jeon, J.Y., Kim, Y.J. and Budden, P.J. (2012), "Plastic limit loads for piping branch junctions under out-ofplane bending", J. Strain Anal. Eng. Des., 47(1), 32-45. https://doi.org/10.1177/0309324711427001
  26. Li, N., Sang, Z.F. and Widera, G.E.O. (2008), "Study of plastic limit load on pressurized cylinders with lateral nozzle", ASME J. Press. Vessel Technol., 130(4), 041210-1-7. https://doi.org/10.1115/1.2967743
  27. Li, T., Chen, H.F., Chen, W. and Ure, J. (2011), "On shakedown analysis of welded pipes", Int. J. Press. Vessels Pip., 88(8-9), 301-310. https://doi.org/10.1016/j.ijpvp.2011.06.005
  28. Li, T., Chen, H.F., Chen, W. and Ure, J. (2012), "On the ratchet analysis of a cracked welded pipes", ASME J. Press. Vessel Technol., 134(1), 011203-1-8. https://doi.org/10.1115/1.4004802
  29. Liu, Y.H., Chen, L.J. and Xu, B.Y. (2009), "Modified elastic compensation method for complex structures", Press. Vessel Technol. Chinese, 26(10), 10-16.
  30. Mackenzie, D. and Boyle, J.T. (1993), "A method of estimating limit loads by iterative elastic analysis I: Simple examples", ASME J. Press. Vessel Technol., 53(1), 77-95.
  31. Mackenzie, D., Boyle, J.T. and Hamilton, R. (2000), "The elastic compensation method for limit and shakedown analysis: A review", J. Strain Anal., 35(3), 171-188. https://doi.org/10.1243/0309324001514332
  32. Mangalaramanan, S.P. and Seshadri, R. (1997), "Limit loads of layered beams and layered cylindrical shells using reduced modulus methods", Proceedings of ASME Pressure Vessels and Piping Conference, Orlando, FL, USA, July.
  33. Mangalaramanan, S.P. and Seshadri, R. (2001), "Minimum weight design of pressure component using R-nodes", ASME J. Press. Vessel Technol., 119(2), 224-231.
  34. Marriott, D.L. (1988), "Evaluation of deformation or load control of stresses under inelastic conditions using elastic finite element stress analysis", Proceedings of the ASME-PVP Conference, Pittsburgh, PA, USA, June, Volume 136, pp. 3-9.
  35. Molski, K. and Glinka, G. (1981), "Method of elastic-plastic stress and strain calculation at a notch root", Mater. Sci. Eng., 50(1), 93-100. https://doi.org/10.1016/0025-5416(81)90089-6
  36. Mura, T. and Lee, S.L. (1965), "Application of variational principles to limit analysis", Q. Appl. Math., 21(3), 243-248.
  37. Nadarajah, C., Mackenzie, D. and Boyle, J.T. (1996), "Limit and shakedown analysis of nozzle/cylinder intersections under internal pressure and in - Plane moment loading", Int. J. Press. Ves. Pip., 68(3), 261-272. https://doi.org/10.1016/0308-0161(95)00064-X
  38. Pan, L. and Seshadri, R. (2001), "Limit load estimation using plastic flow parameter in repeated elastic finite element analysis", ASME J. Press. Vessel Technol., 124(4), 433-439.
  39. Patel, D.M. and Kumar, D.B. (2014), "Pressure vessel limit load estimation by FEM and experimental method", Int. J. Innov. Resea. Advan. Eng., 1(9), 109-114.
  40. Plancq, D. and Berton, M.N. (1998), "Limit analysis based on elastic compensation method of branch pipe tee connection under internal pressure and out-of-plane moment loading", Int. J. Press. Vessels Pip., 75(11), 819-825. https://doi.org/10.1016/S0308-0161(98)00085-4
  41. Ponter, A.R.S. and Carter, K.F. (1997a), "Limit state solutions, based upon linear elastic solutions with a spatially varying elastic modulus", Comput. Meth. Appl. Mech. Eng., 140(3), 237-258. https://doi.org/10.1016/S0045-7825(96)01104-8
  42. Ponter, A.R.S. and Carter, K.F. (1997b), "Shakedown state simulation techniques based on the linear elastic solutions", Comput. Meth. Appl. Mech. Eng., 140(3), 259-279. https://doi.org/10.1016/S0045-7825(96)01105-X
  43. Ponter, A.R.S., Fusehi, P. and Engelhardt, E. (2000), "Limit analysis for a general class of yield conditions", Eur. J. Mech. A/Solids, 19(3), 401-421. https://doi.org/10.1016/S0997-7538(00)00170-4
  44. Ponter, A.R.S. and Chen, H. (2001), "A programming method for limit load and shakedown analysis of structures", ASME PVP, 430, 155-160.
  45. Ponter, A.R.S. and Engelhardt, E. (2000), "Shakedown limit for a general yield condition", Eur. J. Mech. A /Solids, 19(3), 423-445.
  46. Prakash, A., Raval, H.K., Gandhi, A. and Pawar, D.B. (2016), "Plastic limit load analysis of cylindrical pressure vessels with different nozzle inclination", J. Inst. Eng. (India): Series C, 97(2), 163-174. https://doi.org/10.1007/s40032-015-0210-0
  47. Reinhardt, W.D. and Seshadri, R. (2003), "Limit load bounds for the $m_{\alpha}$ multipliers", ASME J. Press. Vessel Technol., 125(1), 11-18. https://doi.org/10.1115/1.1526858
  48. Seshadri, R. (1991), "Simplified methods for determining multiaxial relaxation and creep damage", Proceedings of the ASME-PVP Conference, Sandiego, CA, USA, June, 210-2, 173-180.
  49. Seshadri, R. and Fernando, C.P.D. (1992), "Limit loads of mechanical components and structures using the GLOSS Rnode method", ASME J. Press. Vessel Technol., 114(2), 201-208. https://doi.org/10.1115/1.2929030
  50. Seshadri, R. and Hossain, M.M. (2009), "Simplified limit load determination using the - Tangent method", ASME J. Press. Vessel Technol., 131(2), 021213-1-7. https://doi.org/10.1115/1.3067001
  51. Seshadri, R. and Indermohan, H. (2004), "Lower bound limit load determination: the $m_{\beta}$ - Multiplier method", ASME 2003 Pressure Vessels and Piping Conference, Cleveland, OH, USA, July.
  52. Seshadri, R. and Mangalaramanan, S.P. (1997), "Lower bound limit load using variational consepts: The - method", Int. J. Press. Vessels Pip., 71(2), 93-106. https://doi.org/10.1016/S0308-0161(96)00071-3
  53. Sim, R.G. (1968), "Creep of structures", Ph.D. Dissertation; University of Cambridge, UK.
  54. Sim, R.G. (1970), "Reference stress concepts in the analysis of structures during creep", Int. J. Mech. Sci., 12(6), 561-573. https://doi.org/10.1016/0020-7403(70)90082-2
  55. Sim, R.G. (1971), "Evaluation of reference stress parameters for structures subject to creep", J. Mech. Eng. Sci., 13(1), 47-50. https://doi.org/10.1243/JMES_JOUR_1971_013_007_02
  56. Tran, T.N., KreiBig, R., Vu, D.K. and Staat, M. (2008), "Upper bound limit and shakedown analysis of shells using the exact Ilyushin yield surface", Comput. Struct., 86(17), 1683-1695. https://doi.org/10.1016/j.compstruc.2008.02.005
  57. Ure, J., Chen, H.F. and Tipping, D. (2013), "Calculation of a lower bound ratchet limit Part 2 - Application to a pipe intersection with dissimilar material join", E. J. Mech. A/Solids, 37, 369-378. https://doi.org/10.1016/j.euromechsol.2012.04.002
  58. Xiao, Y. (2010), "Direct secant estimation of limit behavior of framed structures", Master Dissertation; Memorial University of Newfoundland, St John's, Canada.
  59. Yang, P., Liu, Y., Ohtake, Y., Yuan, H. and Cen, Z. (2005), "Limit analysis based on a modified elastic compensation method for nozzle-to-cylinder junctions", Int. J. Press. Vessels Pip., 82(10), 770-776. https://doi.org/10.1016/j.ijpvp.2005.06.005
  60. Yang, P., Liu, Y.H., Yuan, H.Y. and Cen, Z.H. (2006), "A modified elastic compensation method for the computation of limit loads", Eng. Mech. Chinese, 23(3), 21-26.
  61. Zhou, Y., Bao S.Y., Dong, J.L. and Wu, H.L. (2006), "Advances of design by stress analysis for pressure bessels", J. Tsinghua Univ. (Sci. & Tech.), 46(6), 886-892.