Analysis of Stress Intensity Factor and Crack Propagation for Alloy X-750 Pressure Vessel with a Blunting Crack

Abstract:

It is well known that the crack growth rate fatigue and stress corrosion cracking can be approximated by a power function of the stress intensity factor. In this study, stress intensity factor for elliptical crack under the uniform tension in linear elastic fracture mechanics (LEFM) is investigated therefore for this purpose, a pressure vessel modeled by finite element. A crack modeled on the pressure vessel and then the stress intensity factor for crack propagation in different methods is evaluated. Finite element analysis calculates stress intensity factor in the values of the J-integral are based on the stress intensity factors, JK, and by evaluating the contour integral directly, JA. The stability of crack growth is considered so the ductile crack extension is determined by pursuing the equilibrium between loading and crack resistance. Using especial method of meshing caused to have accurate results. This method causes to decrease run time and considerable accuracy. Then stress intensity factor is calculated for different position of the crack such as crack front and then compared to each other.

• Periodical: Defect and Diffusion Forum (Volumes 303-304)
• Pages: 63-83
• DOI: https://doi.org/10.4028/www.scientific.net/DDF.303-304.63
• Online since: July 2010
• Authors: Ehsan Mahdavi, Mahmoud Mosavi Mashhadi, M. Amidpour
• Keywords: Crack Growth, Finite Element Model (FEM), Pressure Vessel Steel, Stress Intensity Factor (SIF)

References

[1] J. O'M. Bockris and P. K. Subramanyan, A Thermodynamic Analysis of Hydrogen in Metals in the Presence of an Applied Stress Field, Acta Metallurgica, 19 (1971) 1205.

DOI: 10.1016/0001-6160(71)90053-8

[2] M.A. Guerrero a, C. Betegon, J. Belzunce, Fracture Analysis of a Pressure Vessel Made of High Strength Steel (HSS), Engineering Failure Analysis, article in press, (2007).

DOI: 10.1016/j.engfailanal.2007.06.006

[3] A. T. Yokobori, JR, T. Nemoto, K. Satoh, and T. Yamada, Numerical Analysis of Hydrogen Diffusion and Concentration in Solid with Emission around the Crack Tip, Engineering Fracture Mechanics, 55.

DOI: 10.1016/0013-7944(96)00002-1

[1] (1996) 47-60, G. Muller, M. Uhlemann, A. Ulbricht, J. Bohmert, Influence of Hydrogen on Toughness of Irradiated Reactor Pressure Vessel Steels, Journal of Nuclear Materials, 359 (2006) 114-121.

DOI: 10.1016/j.jnucmat.2006.08.004

[4] J Ulrich Krupp, Fatigue Crack Propagation in Metals and Alloys: Microstructure Aspects and Modeling Concepts, WILEY-VCH Verlag GmbH & Co. KGaA, Germany, (2007).

[5] Douglas M. Symons, A Comparison of Internal Hydrogen Embrittlement and Hydrogen Environment Embrittlement of X-750, Eng. Fracture Mech. 68 (2001) 751-771.

DOI: 10.1016/s0013-7944(00)00123-5

[6] C. J. McMahon Jr., Hydrogen-Induced Intergranular Fracture of Steels, Eng. Fracture, Mech., 68 (2001) 773-788.

DOI: 10.1016/s0013-7944(00)00124-7

[7] J. M. Smith and H. C. Van Ness, Introduction to Chemical Engineering Thermodynamics, McGraw-Hill, International edition, fourth edition, New York (1916).

[8] J. M. Prausnitz, R. N. Lichtenthaler, E. G. de Azevedo, Molecular Thermodynamics of FluidPhase Equilibrium, 3rd Edition, Prentice Hall International Series in Physical and Chem. Eng. Sci., New York (1998).

[9] C. R. Aronachalam, Hydrogen Charging and Internal Hydrogen Effects on Interfacial and Fracture Properties of Metal Matrix Composites, submitted by Michigan University, James places, Department of Material Science and Mechanics (1994).

[10] M. R. Louthan, Jr., Hydrogen Embrittlement of Metals: a Primer for the Failure Analyst, Materials Science and Technology, J. of Failure Analysis and Prevention, 8 (2008) 289-307.

DOI: 10.1007/s11668-008-9133-x

[11] H. P. Van Leeuwen, The Kinetics of Hydrogen Embrittlement: a Quantitative Diffusion Model, Eng. Fracture Mech., 6 (1974) 141-161.

DOI: 10.1016/0013-7944(74)90053-8

[12] J. Toribio, The Role of Crack Tip Strain Rate in Hydrogen Assisted Cracking, Corr. Sci., 39 (1997) 1687-1697.

DOI: 10.1016/s0010-938x(97)00075-9

[13] Y. Kim, Y. J. Chao, Marty J. Pechersky and Michael J. Morgan, On the Effect of Hydrogen on Fracture Toughness of Steel, Int. J. of Fracture, 134 (2005) 339-347.

DOI: 10.1007/s10704-005-1974-7

[14] J. O'M. Bockris and P. K. Subramanyan, A Thermodynamic Analysis of Hydrogen in Metals in the Presence of an Applied Stress Field, Acta Metall., 19 (1971) 1205.

DOI: 10.1016/0001-6160(71)90053-8

[15] H. P. Van Leeuwen, A Failure Criterion for Internal Hydrogen Embrittlement, Fracture Mech., 9 (1997) 291-296.

[16] Bong-Sang Lee, Min-Chul Kim, Maan-Won Kim, Ji-Hyun Yoon, Jun-Hwa Hong, Master Curve Techniques to Evaluate Irradiation Embrittlement of Nuclear Reactor Pressure Vessels for Long-Term Operation, Int. J. of Pressure Vessel and Piping, 85 (2008).

DOI: 10.1016/j.ijpvp.2007.08.005

[17] George Karzov, Boris Margolin, Eugene Rivkin, Analysis of Structure Integrity of RPV on the Basis of Brittle Criterion: New Approaches, Int. J. of Pressure Vessel and Piping, 81 (2004) 651-656.

DOI: 10.1016/j.ijpvp.2004.03.001

[18] A. Toshimitsu Yokobori Jr., Yasrou Chida, Takenao Nemoto, Kogi Satoh, Tetsuya Yamada, The Characteristics of Hydrogen Diffusion and Concentration around a Crack Tip Concerned with Hydrogen Embrittlement, Corr. Sci., 44 (2001) 407-424.

DOI: 10.1016/s0010-938x(01)00095-6

[19] A. T. Yokobori, JR, T. Nemoto, K. Satoh, and T. Yamada, Numerical Analysis of Hydrogen Diffusion and Concentration in Solid with Emission around the Crack Tip, Eng. Fracture Mech., 55 (1996) 47-60.

DOI: 10.1016/0013-7944(96)00002-1

[20] J. O'M. Bockris and P. K. Subramanyan, A Thermodynamic Analysis of Hydrogen in Metals in the Presence of an Applied Stress Field, Acta Metal., 19 (1971) 1205.

DOI: 10.1016/0001-6160(71)90053-8

[21] Hirokazu Kotake, Royosuke Matsumoto, Shinya Taketomi, Noriyuke Miyazaki, Transient Hydrogen Diffusion Analyses Coupled with Crack-Tip Plasticity under Cyclic Loading, Int. J. of Pressure Vessel and Piping, 85 (2008) 540-549.

DOI: 10.1016/j.ijpvp.2008.02.002

[22] Murakami, Y., The Handbook of Stress Intensity Factors, Pergamon (Oxford, New York), (1987).