Abstract
The theoretical distribution function of the dimensions of scattered defects is determined on the basis of the parameters of their formation and growth processes. The results show that at a constant rate of formation of defects in respect of time, the size of distribution of the defects does not depend on time and is determined by the type of distribution of the parameter of the defect growth rate. At three different types, the distributions of the given parameter of the distribution density of the defect dimensions are similar and can be described by a single function of the attenuating exponent type in the reduced coordinates.
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Literature cited
J. Nemec, “Propagation of fatigue cracks,” Probl. Prochn., No. 7, 9–18 (1988).
A. V. Prokopenko and O. N. Chernysh, “Propagation of short surface fatigue cracks in 20Kh13 steel and VT9 alloy,” Probl. Prochn., No. 5, 12–16 (1989).
L. R. Botvina and G. I. Barenblatt, “Self-modeling of damage cumulation,” Probl. Prochn., No. 12, 17–24 (1985).
V. V. Bolotin, Predicting the Service Life of Machines and Structures [in Russian], Mashinostroenie, Moscow (1984).
M. Abramovits and I. Stigan (eds.), A Handbook of Special Functions [in Russian], Nauka, Moscow (1979).
I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Sums, Series, and Products [in Russian], Nauka, Moscow (1971).
E. S. Venttsel' and L. A. Ovcharov, Theory of Probabilities and Its Engineering Applications [in Russian], Nauka, Moscow (1988).
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Translated from Problemy Prochnosti, No. 9, pp. 40–45, September, 1990.
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Ignatovich, S.R. Distribution of defect dimensions in loading solids. Strength Mater 22, 1295–1301 (1990). https://doi.org/10.1007/BF00770970
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DOI: https://doi.org/10.1007/BF00770970