DOI: https://doi.org/10.20535/2305-9001.2012.65.33909

RATIONALE METHODOLOGIES CALCULATING J-INTEGRAL FOR THROUGHWALL CRACKED PIPES LOAD BY COMBINATION FORCE, BENDING MOMENT AND PRESSURE. PART:II

М. Г. Крищук, А. І. Ориняк

Abstract


Abstract. We consider boundary conditions of through-wall cracked pipe of different crack sizes and ratios of mean radius to thickness of wall under the action of combined loading pressure force and the cross point, which corresponds to the practical needs of enterprises of the energy profile. The author reveals the evolution of methods for calculation of elastic-plastic fracture with a crack pipe before demolition. Classification of methods of determining the limit of pipes with cracks. Given a reasonable analysis of existing methods of determination of J-integral and reference stress highlighted some significant advantages over other methods. In numerical solutions of problems of fracture mechanics for the pipes with continuous circular crack in the limit load applied software package Abaqus v.6.10 license Freiburg’s University IWM. The data which calculated of J-integral for the two types of pipes with cross cracks in the 12 different methods used in leading countries. The data obtained for the limit of pipe with one the factor loading bending moment, as well as the simultaneous action of internal pressure and bending moment.

Keywords


through-wall cracked pipe; leak before break; limit load; reference stress; J-integral.

References


1. Zahoor A, Kanninen MF. A plastic fracture mechanics prediction of fracture instability in a circumferential cracked pipe in bending, Part I: J-integral analysis. J Press Vessel Technol 1981; 103:352-8

2. Rice JR, Paric PC, Merkel JG. Progress in flaw grown and fracture toughness testing. ASTM STP 1973;536:231-45.

3. Paris PC, Tada H. The application of fracture-proof design methods using tearing-instability theory to nuclear piping postulating circumferential through-wall cracks. NUREG/CR-3464; 1983.

4. Klecker R, Brust F, Wilkowski GM. NRC leak-before-break (LBB.NRC) analysis method for circumferentially through-wall cracked pipes under axial plus bending loads. NUREG/CR-4572;1986.

5. Brust FW. Approximate methods for fracture analysis of through-wall cracked pipes. NUREG/CR-4853; 1987

6. Kumar V, German MD, Wilkening WW, Andrews WR, deLorenzi HG, Mowbray DF. Advances in elastic-plastic fracture analysis. EPRI NP-3607; 1984.

7. Kumar V, German MD, Shih CF. An engineering approach for elastic–plastic fracture analysis. EPRI NP-1931; 1981.

8. Kumar V, German MD. Elastic–plastic fracture analysis of through-wall and surface flaws in cylinders. EPRI NP-5596; 1989

9. Zerbst U, Shödel M, Webster S, Ainsworth R. Fitness-for-Service Fracture Assessment of Structures Containing Cracks. 2007, 295 p.

10. Paris P.C. and H. Tada, The application of Fracture Proof Design Methods Using Tearing Instability Theory to Nuclear Piping Postulating Circumferential Through Wall Cracks, NUREG/CR-3464, September 1983

11. R. Klecker, F.W. Brust and G. Wilkowski, NRC Leak-Before-Break (LBB.NRC) Analysis Method for Circumferentially Through-Wall Cracked Pipes Under Axial Plus Bending Loads, NUREG/CR-4572, May 1986.

12. Takahahi Y. Evaluation of leak-before-break assessment methodology for pipes with a circumferential through-wall crack part I: stress intensity factor and limit load solution. Int J Press Vessel Piping 2002; 79(6):385–92.

13. Lacire MH, Chapuliot S, Marie S. Stress intensity factors of through wall cracks in plates and tubes with circumferential cracks. ASME PVP 1999;388:13-21.

14. Rahman S. Probabilistic fracture analysis of cracked pipes with circumferential flaws. Int J Pres Ves Pip 1997;70:223-36.

15. J. Foxen, S. Rahman. Elastic-plastic analysis of small cracks in tubes under internal pressure and bending. Nuclear Engineering and Design 1999; 75-87:197

16. Laham Al. Stress Intensity Factor and Limit Load Handbook. British Energy Generation Ltd. 1998

17. Takahashi Y. Evaluation of leak-before-break assessment methodology for pipes with a circumferential through-wall crack. Part II: Jintegral estimation. Int J Press Vessel Piping 2002;79(6):393-402.

18. American Petroleum Institute API 579, Recommended Practice for Fitness for Service.

19. ABAQUS version 6.10 User’s manual. RI: Hibbitt, Karlsson & Sorencen Inc.2010

20. W. Brocks and I. Scheider. Numerical Aspects of the Path-Dependence of the J-Integral in Incremental Plasticity . Technical Note GKSS/WMS/01/08

21. Ainsworth R.A. The assessment of defects in structures of strain hardening material. Engng Fract. Mech, 1984, V.19, P. 633- 642

22. Laham Al. Stress Intensity Factor and Limit Load Handbook. British Energy Generation Ltd. 1998

23. Lacire MH, Chapuliot S, Marie S/ Stress intensity factors of through wall cracks in plates and tubes with circumferential

cracks. ASME PVP 1999;388:13-21.

24. Kryshchuk M., Oorynyak A. Journal the National technical university of Ukraine “KPI”. Series of engineering, 2012, no.64, p.76-81


GOST Style Citations


1. Zahoor A, Kanninen MF. A plastic fracture mechanics prediction of fracture instability in a circumferential cracked pipe in bending – Part I: J-integral analysis. J Press Vessel Technol 1981; 103:352-8


2. Rice JR, Paric PC, Merkel JG. Progress in flaw grown and fracture toughness testing. ASTM STP 1973;536:231-45.


3. Paris PC, Tada H. The application of fracture-proof design methods using tearing-instability theory to nuclear piping postulating circumferential through-wall cracks. NUREG/CR-3464; 1983.


4. Klecker R, Brust F, Wilkowski GM. NRC leak-before-break (LBB.NRC) analysis method for circumferentially through-wall cracked pipes under axial plus bending loads. NUREG/CR-4572;1986.


5. Brust FW. Approximate methods for fracture analysis of through-wall cracked pipes. NUREG/CR-4853; 1987


6. Kumar V, German MD, Wilkening WW, Andrews WR, deLorenzi HG, Mowbray DF. Advances in elastic-plastic fracture analysis. EPRI NP-3607; 1984.


7. Kumar V, German MD, Shih CF. An engineering approach for elastic–plastic fracture analysis. EPRI NP-1931; 1981.


8. Kumar V, German MD. Elastic–plastic fracture analysis of through-wall and surface flaws in cylinders. EPRI NP-5596; 1989


9. Zerbst U, Shödel M, Webster S, Ainsworth R. Fitness-for-Service Fracture Assessment of Structures Containing Cracks. 2007. - 295 p.


10. P.C. Paris and H. Tada, The application of Fracture Proof Design Methods Using Tearing Instability Theory to Nuclear Piping Postulating Circumferential Through Wall Cracks, NUREG/CR-3464, September 1983


11. R. Klecker, F.W. Brust and G. Wilkowski, NRC Leak-Before-Break (LBB.NRC) Analysis Method for Circumferentially Through-Wall Cracked Pipes Under Axial Plus Bending Loads, NUREG/CR-4572, May 1986.

12. Takahahi Y. Evaluation of leak-before-break assessment methodology for pipes with a circumferential through-wall crack part I: stress intensity factor and limit load solution. Int J Press Vessel Piping 2002; 79(6):385–92.


13. Lacire MH, Chapuliot S, Marie S/ Stress intensity factors of through wall cracks in plates and tubes with circumferential cracks. ASME PVP 1999;388:13-21.


14. Rahman S. Probabilistic fracture analysis of cracked pipes with circumferential flaws. Int J Pres Ves Pip 1997;70:223-36.

15. J. Foxen, S. Rahman. Elastic-plastic analysis of small cracks in tubes under internal pressure and bending. Nuclear Engineering and Design 1999; 75-87:197

16. Laham Al. Stress Intensity Factor and Limit Load Handbook. British Energy Generation Ltd. 1998

17. Takahashi Y. Evaluation of leak-before-break assessment methodology for pipes with a circumferential through-wall crack. Part II: Jintegral estimation. Int J Press Vessel Piping 2002;79(6):393-402.

18. American Petroleum Institute API 579, Recommended Practice for Fitness for Service.

19. ABAQUS version 6.10 User’s manual. RI: Hibbitt, Karlsson & Sorencen Inc.2010

20. W. Brocks and I. Scheider // Numerical Aspects of the Path-Dependence of the J-Integral in Incremental Plasticity // Technical Note GKSS/WMS/01/08

21. Ainsworth R.A. The assessment of defects in structures of strain hardening material // Engng Fract. Mech.-1984.- V.19 .-P. 633-642

22. Laham Al. Stress Intensity Factor and Limit Load Handbook. British Energy Generation Ltd. 1998

23. Lacire MH, Chapuliot S, Marie S/ Stress intensity factors of through wall cracks in plates and tubes with circumferential cracks. ASME PVP 1999;388:13-21.

24. Крищук М.Г., д-р.техн.наук, проф., Ориняк А.І.. Обґрунтування методик розрахунку J-інтегралу для труби з наскрізною поперечною тріщиною при комбінованому навантаженні силою, моментом і тиском. Частина:I. // Вісник
НТУУ "КПІ". Серія машинобудування, 2012, №.64, p.76-81





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