Abstract
The evolution of the distribution of interstitial impurity atoms in the plastic zone around the tip of a tension crack is analyzed. The transport of point defects is determined by: 1) the hydrostatic component of the elastic stress at the crack tip, created by the superposition of the elastic fields of the crack and dislocations; 2) the elastic field of moving dislocations (“sweeping out” of interstitial impurity atoms); 3) the dislocation-driven transport of point defects present in the dislocation cores. The contributions of each mechanism of transport of point defects to the crack tip are calculated over the entire time from the start of loading of a sample containing a crack until an equilibrium distribution of plastic deformation is established after the cessation of loading. Numerical calculations are carried out for interstitial hydrogen atoms dissolved in an α-Fe crystal.
Similar content being viewed by others
References
B. A. Kolachev, Hydrogen Brittleness of Metals [in Russian], Moscow, 1985.
J. B. Leblond and D. Dubois, Acta Metall. 31, 1459, 1471 (1983).
M. Iino, Eng. Fracture Mech. 10, 1 (1978).
Y. T. Chou, M. Gao, M. Lu, and R. P. Wei, Mater. Sci. Eng. 58, 245 (1983).
F. R. Brotzen and A. Seeger, Acta Metall. 37, 2985 (1989).
A. E. Andreikiv, V. V. Panasyuk, and V. S. Kharin, Fiz.-Khim. Mekh. Mater. 14, 3 (1978).
R. C. Bates and A. T. Santhanam, Int. J. Fracture 14, 501 (1978).
V. V. Panasyuk, A. E. Andreikiv, and V. S. Kharin, Fiz.-Khim. Mekh. Mater. 17(4), 71 (1981).
A. V. Fishgoit and B. A. Kolachev, Fiz.-Khim. Mekh. Mater. 17(4), 76 (1981).
W. Y. Chu, C.-M. Hsiao, and S.-Q. Li, Scr. Metall. 13, 1063 (1979).
J. K. Tien, O. Buck, R. C. Bates, and S. Nair, Scr. Metall. 14, 583 (1980).
J. K. Tien, S. Nair, R. C. Bates, and O. Buck, Scr. Metall. 14, 591 (1980).
M. Hashimoto and R. M. Latanision, Acta Metall. 36, 1837 (1988).
D. N. Karpinskii and S. V. Sannikov, Fiz. Tverd. Tela (St. Petersburg) 37, 1713 (1995) [Phys. Solid State 37, 932 (1995)].
D. N. Karpinskii and S. V. Sannikov, Prikl. Mekh. Tekh. Fiz. 3, 154 (1993).
D. N. Karpinskii and S. V. Sannikov, Fiz. Tverd. Tela (St. Petersburg) 37, 505 (1995) [Phys. Solid State 37, 273 (1995)].
V. I. Vladimirov, D. N. Karpinskii, A. N. Orlov, and S. V. Sannikov, Probl. Prochn. 12, 36 (1983).
S. D. Gertsriken and I. Ya. Dekhtyar, Diffusion in Metals and Alloys in the Solid Phase [in Russian], Moscow, 1960.
B. M. Budak, A. A. Samarskii, and A. N. Tikhonov, A Collection of Problems on Mathematical Physics (Pergamon Press, Oxford-New York, 1964) [Russian original, Nauka, Moscow, 1980].
M. L. Grossbeck and H. K. Birnbaum, Acta Metall. 37, 135 (1977).
Author information
Authors and Affiliations
Additional information
Fiz. Tverd. Tela (St. Petersburg) 39, 1580–1585 (September 1997)
Rights and permissions
About this article
Cite this article
Karpinskii, D.N., Sannikov, S.V. Evolution of the concentration of point defects at the tip of a crack. Phys. Solid State 39, 1407–1411 (1997). https://doi.org/10.1134/1.1130088
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.1130088