Abstract
The Weibull distribution is used to calculate the probability of failure of any type of system. In the case of the fracture of metal, the squared critical stress is taken as the random variable and the fractal dimension as the form parameter. Fluctuations of the critical stress intensity at the prefracture stage are accompanied by an acoustic response (acoustic emission). It is concluded that information about the acoustic emission intensity (amplitude criterion) is not enough to calculate the probability of spontaneous failure. It is also necessary to take account of the temperature and fractal dimension of the prefracture region. It is proved that the fractal dimension can be determined from the acoustic emission spectrum.
The results of a determination of the instantaneous probability of spontaneous failure of samples of corrosion-resistance steel on the basis of acoustic emission spectroscopy are presented.
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References
K. B. Vakar (ed.), Acoustic Emission and Its Application for Nondestructive Monitoring in Nuclear Power, Atomizdat, Moscow (1980).
V. I. Ivanov, “Development of acoustic-emission methods and means for technical diagnostics of vessel objects on the basis of a study of signal generation during deformation and fracture of metals,” Author’s Abstract of a Dissertation for the Degree Doctor of Engineering Sciences, Moscow (1990) (VNIITmash).
Strength Calculations and Tests. Application of the Method of Acoustic Emission for Monitoring Vessels Operating under Pressure and Pipelines. Methodological Recommendations, State Standards Committee of the USSR, MR 204-86, Moscow (1986).
V. A. Krylov, “Physical meaning of spectral analysis in acoustic-emission diagnostics,” Tekh. Diagnost. Nerazrush. Kontr., No. 1, 16–20 (1991).
V. A. Krylov and V. I. Merkulov, Method of Acoustic-Emission Monitoring of Corrosion under Stress, Patent No. 2269772, Byull. Izobret., No. 4, 112 (2006).
A. E. Andreikiv and N. V. Lysak, Method of Acoustic Emission in the Study of Fracture Processes, Naukova dumka, Kiev (1989).
V. S. Ivanova, Synergetics. Strength and Fracture of Metallic Materials, Nauka, Moscow (1992).
A. N. Panchenkov, Entropy 2. Chaotic Mechanics, Nizhnii Novgorod (2002).
V. I. Tikhonov and M. A. Mironov, Markov Processes, Sov. Radio, Moscow (1977).
Yu. I. Neimark and P. S. Landa, Stochastic and Chaotic Oscillations, Nauka, Moscow (1987).
W. Feller, Introduction to Probability Theory and Its Applications, Wiley-Eastern, New Dekhi, 1984, Vol. 2; Russian translation, Mir, Moscow (1984), Vol. 2.
E. M. Lifshitz and L. P. Pitaevski, Physical Kinetics, Pergamin Press, N.Y. (1981); Russian original, Nauka, Moscow (1970).
G. Z. Cummins and A. P. Levanyuk (eds.), Light Scattering Near Phase Transition Points, Nauka, Moscow (1990).
K. I. Kugel’, “The Jahn-Teller effect,” Fizicheskii Éntsiklopedicheskii Slovar’, Sov. Éntsiklopedia, Moscow (1984).
G. Jenkins and D. Watts, Spectral Analysis and Its Applications, Holden Day, San Francisco, CA (1968), Vol. 2; Russian translation, Mir, Moscow (1972), Vol. 2.
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Translated from Atomnaya Énergiya, Vol. 102, No. 6, pp. 351–358, June, 2007.
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Krylov, V.A. Determination of the probability of spontaneous fracture of metal from the acoustic emission spectrum at the prefracture stage. At Energy 102, 436–444 (2007). https://doi.org/10.1007/s10512-007-0069-0
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DOI: https://doi.org/10.1007/s10512-007-0069-0