Upper bound limit and shakedown analysis of shells using the exact Ilyushin yield surface

Computers and Structures

Volumn 86, Issue 17-18, 2008, Pages 1683-1695

  Tran, Thanh Ngoc ^a   Kreissig R ^b   Vu, Duc Khôi ^c   Manfred Staat, ^a  

^a AACHEN UNIVERSITY OF APPLIED SCIENCES   (Germany)

^b CHEMNITZ UNIVERSITY OF TECHNOLOGY   (Germany)

^c UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

Exact Ilyushin yield surface; Limit analysis; Nonlinear programming; Shakedown analysis; Shells

Indexed keywords

CURVE FITTING; NONLINEAR PROGRAMMING; RHENIUM; SHELLS (STRUCTURES);

ELSEVIER (CO); FINITE ELEMENT (FE); KINEMATIC FORMULATION; NON-LINEAR OPTIMIZATIONS; NUMERICAL EXAMPLES; PARAMETERIZED; PRESENT METHOD; SHAKEDOWN ANALYSIS; UPPER BOUND APPROACH; UPPER BOUNDS; YIELD SURFACES;

FINITE ELEMENT METHOD;

EID: 47049100868     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2008.02.005     Document Type: Article

References (46)

1. European standard: unfired pressure vessels - Part 3: Design, Annex 2: Annex B Direct route for design by analysis and Annex C Stress categorisation route for design by analysis, CEN European Committee for Standardization, EN 13445-3:2002, Issue 14, 2005-06.
2. Taylor N et al. The design-by-analysis manual. Report EUR 19020 EN, European Commission, Joint Research Centre, Petten, The Netherlands, 1999. For error corrections and remarks see: .
3. Staat M, Heitzer M, editors. Numerical methods for limit and shakedown analysis. Deterministic and probabilistic problems. NIC-Series Vol. 15, Jülich: John von Neumann Institute for Computing, 2003. .
4. Vu D.K., Staat M., and Tran I.T. Analysis of pressure equipment by application of the primal-dual theory of shakedown. Commun Numer Methods Eng 23 3 (2007) 213-225.
5. Heitzer M., and Staat M. FEM-computation of load carrying capacity of highly loaded passive components by direct methods. Nucl Eng Des 193 3 (1999) 349-358.
6. Hsieh M.F., Moffat D.G., and Mistry J. Nozzles in the knuckle region of a torispherical head: limit load interaction under combined pressure and piping loads. Int J Pres Vessels Piping 77 13 (2000) 807-815.
7. Franco J.R.Q., and Ponter A.R.S. A general approximate technique for the finite element shakedown and limit analysis of axisymmetrical shells. Part 1: Theory and fundamental relations. Int J Numer Methods Eng 40 19 (1997) 3495-3513.
8. Franco J.R.Q., and Ponter A.R.S. A general approximate technique for the finite element shakedown and limit analysis of axisymmetrical shells. Part 2: Numerical applications. Int J Numer Methods Eng 40 19 (1997) 3515-3536. http://dx.doi.org/10.1002/(SICI)1097-0207(19971015)40:19%3c3515::AID-NME223%3e3.0.CO;2-W>
9. Yan A.M., and Nguyen D.H. Direct finite element kinematical approaches in limit and shakedown analysis of shells and elbows. In: Weichert D., and Maier G. (Eds). Inelastic analysis of structures under variable loads (2000), Kluwer Academic, Dordrecht 233-254
10. Bisbos C.D., and Pardalos P.M. Second-order cone and semidefinite representations of material failure criteria. J Optim Theory Appl 134 2 (2007) 275-301.
11. Burgoyne C.J., and Brennan M.G. Exact Ilyushin yield surface. Int J Solids Struct 30 8 (1993) 1113-1131.
12. Ilyushin A.A. Plasticity (1948), Gostekhizdat, Moscow [in Russian]
13. Robinson M. A comparison of yield surfaces for thin shells. Int J Mech Sci 13 4 (1971) 345-354.
14. Preiss R. Ratcheting and shakedown analysis of pressure equipment using elasto-plastic finite-element-analysis. PhD thesis, TU Wien, 2000.
15. Staat M. Problems and chances for probabilistic fracture mechanics in the analysis of steel pressure boundary reliability. In: Technical feasibility and reliability of passive safety systems for nuclear power plants. IAEA-TECDOC-920, Vienna, December 1996, p. 43-55. .
16. Ivanov G.V. Approximating the final relationship between the forces and moments of shell under the Mises plasticity condition. Inzhenernyi Zhurnal Mekh Tverdogo 6 (1967) 74-75 [in Russian]
17. Seitzberger M. Contributions to an efficient numerical analysis of the plastic behaviour of thin-walled structures. Fortschritt-Berichte VDI, Reihe 18, Nr. 247, Düsseldorf: VDI-Verlag, 2000.
18. Capsoni A., and Corradi L. A finite element formulation of the rigid-plastic limit analysis problem. Int J Numer Methods Eng 40 11 (1997) 2063-2086.
19. Vu D.K., Yan A.M., and Nguyen D.H. A primal-dual algorithm for shakedown analysis of structure. Comput Methods Appl Mech Eng 193 42-44 (2004) 4663-4674.
20. Code_Aster 7.3. User's manual, a product of Électricité de France (EDF) R&D, Clamart, France, 2003. .
21. Chapelle D., and Bathe K.J. The finite element analysis of shells - fundamentals (2003), Springer, Berlin
22. GiD 7.2. User's manual, a product of International Center for Numerical Methods in Engineering (CIMNE), Barcelona, 2002. .
23. Shalaby M.A., and Younan M.Y.A. Limit loads for pipe elbows with internal pressure under in-plane closing bending moment. ASME J Pressure Vessel Technol 120 1 (1998) 35-42
24. Shalaby MA, Younan MYA. Limit loads for pipe elbows subjected to in-plane opening moment and internal pressure. Paper presented at the 1998 ASME/JSME Joint Pressure Vessels and Piping Conference held at San Diego, California, July 26-30, PVP 1998, vol. 368. p. 163-70.
25. Yan AM. Contributions to the direct limit state analysis of plastified and cracked structures. PhD thesis, University of Liège, 1997.
26. Mourad H.M., and Younan M.Y.A. Limit load analysis of pipe bends under out-of-plane moment loading and internal pressure. ASME J Pressure Vessel Technol 124 1 (2002) 32-37
27. Chattopadhyay J, Venkatramana W, Dutta BK, Kushwaha HS. Limit load of elbows under combined internal pressure and bending moment. Transactions of SMiRT 15, Seoul, Korea, Div. G, vol. V, 1999, p. 281-8
28. Chattopadhyay J., Nathani D.K., Dutta B.K., and Kushwaha H.S. Closed-form collapse moment equations of elbows under combined internal pressure and in-plane bending moment. ASME J Pressure Vessel Technol 122 4 (2000) 431-436
29. Fanous I.F.Z., Adibi-Asl R., and Seshadri R. Limit load analysis of pipe bends using the R-node method. ASME J Pressure Vessel Technol 127 4 (2005) 443-448
30. Kussmaul K, Diem HK, Uhlmann D, Kobes H. Pipe bend behaviour at load levels beyond design. Transactions of SMiRT 13. Porto Alegre, Brazil. vol. F. p. 187-98, 1995. .
31. Karamanos S.A., Tsouvalas D., and Gresnigt A.M. Ultimate bending capacity and buckling of pressurized 90 deg steel elbows. ASME J Pressure Vessel Technol 128 3 (2006) 348-356
32. Diem H. Untersuchungen zum Geometrieeinfluß auf das Verformungs- und Versagensverhalten von Rohrbogen. Dissertation, Universität Stuttgart, 1994.
33. Calladine C.R. Limit analysis of curved tubes. J Mech Eng Sci 16 2 (1974) 85-87
34. Bolt SE, Greenstreet WL. Experimental determination of plastic collapse loads for pipe elbows. ASME paper 71-PVP-37, 1971.
35. Goodall IW. Large deformations in plastically deformed curved tubes subjected to in-plane bending. Research Division Report CEGB-RD/B/N4312, Central Electricity Generating Board, UK, 1978.
36. Goodall IW. Lower bound limit analysis of curved tubes loaded by combined internal pressure and in-plane bending moment. Research Division Report RD/B/N4360, Central Electricity Generating Board, UK, 1978.
37. Griffiths J.E. The effect of cracks on the limit load of pipe bends under in-plane bending experimental study. Int J Sci 21 2 (1979) 119-130.
38. Desquines J., Plancq D., and Wielgosz C. In-plane limit moment for an elbow lower bound analytical solution and finite element processing by elastic compensation method. Int J Pressure Vessels Piping 71 1 (1997) 29-34.
39. Spence J., and Findlay G.E. Limit loads for pipe bends under in-plane bending. Proceedings of the 2nd international conference on pressure vessel technology 1 (1973), ASME 393-399
40. Touboul F, et al. Design criteria for piping components against plastic collapse: Application to pipe bend experiments. In: Cengdian Liu, Nichols RW, editors. Proceedings of 6th international conference of pressure vessel technology, Beijing, China, September 11-15, 1989; p. 73-84.
41. Drubay B et al. A16: guide for defect assessment and leak-before-break analysis. Third draft, Commissariat a l'Energie Atomique (CEA), Rapport DMT 96.096, France, 1995.
42. Rahman SM. Finite element analysis and related numerical schemes for ratcheting simulation. PhD dissertation, North Carolina State University, Raleigh, 2006.
43. Staat M., Heitzer, M. The restricted influence of kinematic hardening on shakedown loads. In: Proceedings of WCCM V, 5th world congress on computational mechanics, Vienna, Austria, July 7-12, 2002. .
44. Abdalla H.F., Megahed M.M., and Younan M.Y.A. Determination of shakedown limit load for a 90-degree pipe bend using a simplified technique. ASME J Pressure Vessel Technol 128 4 (2006) 618-624
45. Thanh Ngoc Tran, Kreißig R, Staat M. Probabilistic limit and shakedown analysis of thin plates and shells. Structural Safety, 2008. .
46. Bauer H, Saal H. Nozzles in the knuckle region of pressure vessels heads - strength and stiffness under various loading conditions. In: Proceedings of the international conference on carrying capacity of steel shell structures, Brno, Czech Republic, 1997; p. 138-44.