Analysis of Hydrogen Diffusion in Notched High-Strength Steel Wires


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Fick's laws were used to model the hydrogen diffusion in notched high-strength steel wires loaded in tension under elastic-plastic conditions. The plastic deformation at the notch tip has an effect on the peak distribution of the hydrostatic stress ( h σ ). So, in stress-assisted diffusion analysis, elastic-plastic material behavior should be considered. Coupled diffusion elastic-plastic finite element analysis was implemented in the finite element program ABAQUS using the user element subroutine (UEL) and the coupled temperature-displacement solver routine to solve the variational form of the diffusion equation in order to obtain the hydrogen concentration distribution ahead of the notch tip in high-strength steel wires under plane strain conditions. The analysis results are compared with those obtained from elastic analysis, which shows that, if a critical hydrogen concentration is regarded as a local fracture criterion, the elastic-plastic analysis results can be used to evaluate the hydrogen embrittlement of high-strength steel wires.



Key Engineering Materials (Volumes 340-341)

Edited by:

N. Ohno and T. Uehara




L. Bing, "Analysis of Hydrogen Diffusion in Notched High-Strength Steel Wires", Key Engineering Materials, Vols. 340-341, pp. 1339-1344, 2007

Online since:

June 2007





[1] ACI Committee 222: Corrosion of Prestressing Steels (ACI 222. 2R-01) (American Concrete Institute, Detroit, MI 2001).

[2] H.P. Van Leeuwen: Eng. Fract. Mech. Vol. 6 (1974), p.141.

[3] S.V. Nair, R.R. Jensen and J.K. Tien: Metal. Trans. A Vol. 14A (1983) p.385.

[4] H.M. Liu: Trans. ASME J. Bas. Eng. Vol. 92 (1970) p.633.

[5] P. Sofronis and H.K. Birnbaum: J. Mech. Phys. Solids. Vol. 43 (1995), p.49.

[6] J.P. Hirth: Metall. Trans. A Vol. 11A (1980), p.861.

[7] S. Sun, K. Shiozawa, J. Gu and N. Chen: Metall. Mat. Trans. Vol. 26A (1995) p.731.

[8] J. Lufrano and P. Sofronis: Acta Mater. Vol. 46 (1998), p.1519.

[9] Chu, W. -Y., Qiao, L. -J., Chen, Q.Z. and Gao, K.W.: Fracture and Environmental Fracture, (Science Press, Beijing 2000).

[10] M.A. Astiz, in: Computational Methods for Non Linear Problems, edited by C. Taylor, D.R.J. Owen and E. Hinton, Pineridge Press, Swansea (1987).

[11] B. Hibbitt, B. Karlsson, and P. Sorensen: ABAQUS/Standard User's Manual, version 6. 1 (Hibbitt, Karlsson & Sorensen Inc., Rode Island, RI 2001).

[12] J. Toribio: Corros. Sci. Vol. 39 (1997), p.1687.

[13] M. Elices, V. Sanchez-Galvez and I.M. Bernstein, in: Hydrogen Effects in Metals, edited by A.W. Thompson and I.M. Bernstein, AIME, New York (1981).