The Relationship between Fugacity and Stress Intensity Factor for Corrosive Environment in Presence of Hydrogen Embrittlement
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The Relationship between Fugacity and Stress Intensity Factor for Corrosive Environment in Presence of Hydrogen Embrittlement

Authors: A. R. Shahani, E. Mahdavi, M. Amidpour

Abstract:

Hydrogen diffusion is the main problem for corrosion fatigue in corrosive environment. In order to analyze the phenomenon, it is needed to understand their behaviors specially the hydrogen behavior during the diffusion. So, Hydrogen embrittlement and prediction its behavior as a main corrosive part of the fractions, needed to solve combinations of different equations mathematically. The main point to obtain the equation, having knowledge about the source of causing diffusion and running the atoms into materials, called driving force. This is produced by either gradient of electrical or chemical potential. In this work, we consider the gradient of chemical potential to obtain the property equation. In diffusion of atoms, some of them may be trapped but, it could be ignorable in some conditions. According to the phenomenon of hydrogen embrittlement, the thermodynamic and chemical properties of hydrogen are considered to justify and relate them to fracture mechanics. It is very important to get a stress intensity factor by using fugacity as a property of hydrogen or other gases. Although, the diffusive behavior and embrittlement event are common and the same for other gases but, for making it more clear, we describe it for hydrogen. This considering on the definite gas and describing it helps us to understand better the importance of this relation.

Keywords: Hydrogen embrittlement, Fracture mechanics, Thermodynamic, Stress intensity factor.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1086153

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References:


[1] J. O. M. Bockris, P. K. Subramanyan, A thermodynamic analysis of hydrogen in metals in the presence of an applied stress field, Acta Metallurgica, Vol. 19, No. 4, 1971, pp. 1205-1208.
[2] A. T. Yokobori, J. R. T. Nemoto, K. Satoh, T. Yamada, Numerical analysis on hydrogen diffusion and concentration in solid with emission around the crack tip, Engineering Fracture Mechanics, Vol. 55, No. 1, 1996, pp. 47-60.
[3] D. M. Symons, A comparison of internal hydrogen embrittlement and hydrogen environment embrittlement of X-750, Engineering Fracture Mechanics, Vol. 68, No. 6, 2001, pp. 751-771.
[4] G. Muller, M. Uhlemann, A. Ulbricht, J. Bohmert, Influence of hydrogen on toughness of irradiated reactor pressure vessel steels, Journal of nuclear materials, Vol. 359, No. 1-2, 2006, pp. 114-121.
[5] N. Takeichi, H. Senoh, T. Yokota, H. Tsuruta, K. Hamada, H. T. Takeshita, H. Tanaka, T. Kiyobayashi, T. Takano, N. Kkuriyama, Hybrid hydrogen storage vessel, a novel high pressure hydrogen storage vessel combined with hydrogen storage material, International Journal of Hydrogen Energy, Vol. 28, No. 10, 2003, pp. 1121-1129.
[6] A. T. Yokobori, J. R. T. Nemoto, K. Satoh, T. Yamada, The characteristic of hydrogen diffusion and concentration around a crack tip concerned with hydrogen embrittlement, Corrosion Science, Vol. 44, No. 3, 2001, pp. 407-424.
[7] H. P. V. Leeuwen, The kinetics of hydrogen embrittlement: A quantitative diffusion model, Engineering Fracture Mechanics, Vol. 6, No.1, 1974, pp. 141-161.
[8] A. Turnbull, D. H. Ferriss, H. Anzai, Modeling of hydrogen distribution at a crack tip, Materials Science and Engineering, Vol. 206, No. 1, 1996, pp. 1-13.
[9] J. Toribio, The role of crack tip strain rate in hydrogen assisted cracking, Corrosio Science, Vol. 39, No. 9, 1997, pp. 1687-1697.
[10] B. Z. Margolin, V. I. Kostylev, Analysis of biaxial loading effect on fracture toughness of reactor pressure vessel steels, International Journal of Pressure Vessels and Piping, Vol. 75, No. 8, 1998, pp. 589- 601.
[11] Y. Kim, Y. J. Chao, M. J. Pechersky, M. J. Morgan, On the effect of hydrogen on fracture toughness of steel, International Journal of Fracture, Vol. 134, No. 3-4, 2005, pp. 339-347.
[12] H. P. V. Leeuwen, A failure criterion for internal hydrogen embrittlement, Fracture Mechanics, Vol. 9, No. 2, 1997, pp. 291-296.
[13] M. A. Guerrero, C. Betegon, J. Belzunce, Fracture analysis of a pressure vessel madeof high strength steel (HSS), Engineering Failure Analysis, Vol. 15, No. 3, 2008, pp. 208-219.
[14] B. S. Lee, M. C. Kim, M. W. Kim, J. H. Yoon, J. H. Hong, Master curve techniques to evaluate an irradiation embrittlement of nuclear reactor pressure vessels for along-term operation, International Journal of Pressure Vessels and Piping, Vol. 85, No. 9, 2008, pp. 593-599.
[15] S. N. Choi, J. S. Kim, J. B. Choi, Y. J. Kim, Effect of cladding on the stress intensity factors in the reactor pressure vessel, Nuclear Engineering and Design, Vol. 199, No. 1-2, 2000, pp. 101-111.
[16] S. A. J. Jahromi, M. Najmi, Embrittlement evaluation and lifetime assessment of hydrocracking pressure vessel made of 3Cr-1Mo lowalloy steel, Engineering Failure Analysis, Vol. 14, No. 1, 2007, pp. 164- 169.
[17] G. Karzov, B. Margolin, E. Rivkin, Analysis of structure integrity of RPV on the basis of brittle criterion: new approaches, International Journal of Pressure Vessels and Piping, Vol. 81, No. 8, 2004, pp. 651- 656.
[18] H. W. Liu, L. Fang, Effects of surface diffusion and resolved shear stress intensity factor on environmentally assisted cracking, Theoretical and applied fracture mechanics, Vol. 25, No. 1, 1996, pp. 31-42.
[19] C. J. McMahon Jr., hydrogen-induced intergranular fracture of steels, Engineering Fracture Mechanics, Vol. 68, No. 1, 2001, pp. 773-788.
[20] S. Serebrinsky, E. A. Carter, M. Ortiz, A quantum-mechanically informed continuum model of hydrogen embrittlement, Journal of Mechanics and Physics of Solids, Vol. 52, No. 10, 2004, pp. 2403-2430.
[21] I. Ohanaka, Mathematical analysis of solute redistribution during solidification with diffusion in solid phase, Journal archive, Vol. 26, No. 1, 1986, pp. 1048-1050.
[22] U. Krupp, Fatigue crack propagation in metals and alloys: microstructure aspects and modelling concepts" WILEY-VCH Verlag GmbH & Co. KGaA, Germany; 2007.
[23] J. M. Smith, H. C. V. Ness, Introduction to chemical engineering thermodynamics, McGraw-Hill Inc., Fourth Edition, New York; 1916.
[24] J. M. Prausnitz, R. N. Lichtenthaler, E. G. de Azevedo, Molecular thermodynamics of fluid-phase equilibria, Prentice Hall International Series in the Physical and Chemical Engineering Sciences, Third Edition; 1998.