Abstract
A mathematical model for crack propagation dynamics is verified with mathematics of the Markov processes. The state-changing rate in the process is expressed both by application of well-known Zhurkov formula and by consequences of the brittle failure mechanics. The generalized parameters of the model are determined from experimental data through the minimization of discrepancy. The experimental data are approximated with reasonable accuracy. The effect of certain factors, namely the initial length of the crack, the temperature of the specimen, and repeated loading, on crack propagation is qualitatively considered. In all the cases, the qualitative description of crack propagation, which is given by the model, is correct.
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REFERENCES
Cherepanov, G.P., Mekhanika khrupkogo razrusheniya (Mechanics of Brittle Fracture), Moscow: Nauka, 1974.
Vinokurov, V.A., Kurkin, S.A., and Nikolaev, G.A., Svarnye konstruktsii (Welded Structures), Moscow: Mashinostroenie, 1996.
Vasilenko, I.I. and Melekhov, R.K., Korrozionnoe rastreskivanie stalei (Corrosion Cracking of Steels), Kiev: Naukova Dumka, 1977.
Petrov, V.A., Bashkarev, A.Ya., and Vettegren', V.I., Fizicheskie osnovy prognozirovaniya dolgovechnosti konstruktsionnykh materialov (Physical Foundamentals of Forecasting the Longevity of Structural Materials), St. Petersburg: Politekhnika, 1993.
Galimov, R.K. and Ivanov, S.N., Zashch. Met., 1999, vol. 35, no. 6, p. 592.
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Galimov, R.K. Verification of the Model for the Dynamics of Crack Propagation in Metals. Protection of Metals 38, 392–396 (2002). https://doi.org/10.1023/A:1019625721234
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DOI: https://doi.org/10.1023/A:1019625721234