On the Concentration Criterion of Fracture

L. R. Botvina, A. P. Soldatenkov

A.A. Baikov Institute of Metallurgy and Materials Science, RAS, 49 Leninskii Ave., 119334 Moscow, Russia

Received: 13.12.2016; final version - 31.03.2017. Download: PDF

The kinetics of microcracks’ accumulation at various stages of cyclic and static loading of specimens of the low-carbon grade 20, medium-carbon grade 45, and stainless 12Kh18N10T steels is studied. Concentration criterion of fracture ($k$-criterion) characterizing the initiation of process of microcracks’ coalescence and macrocrack formation as well as the characteristics of cumulative microcracks’ distribution over their lengths are estimated. As shown, the $k$-criterion is associated with residual lifetime of a material by means of the power-law dependence. Some general regularities of defect interaction manifesting themselves at fracture of metal specimens are considered.

Key words: concentration criterion of fracture, damage accumulation, tension, microcracks’ density, fatigue, residual lifetime.

URL: http://mfint.imp.kiev.ua/en/abstract/v39/i04/0477.html

DOI: https://doi.org/10.15407/mfint.39.04.0477

PACS: 62.20.mm, 62.20.mt, 75.78.Fg, 81.40.Np, 81.70.Bt, 81.70.Fy, 91.30.Px

Citation: L. R. Botvina and A. P. Soldatenkov, On the Concentration Criterion of Fracture, Metallofiz. Noveishie Tekhnol., 39, No. 4: 477—490 (2017)


REFERENCES
  1. S. N. Zhurkov, V. S. Kuksenko, and A. I. Slutsker, Fizika Tverdogo Tela, 11, No. 1: 296 (1969) (in Russian).
  2. S. N. Zhurkov, V. S. Kuksenko, V. A. Petrov, V. N. Savel'ev, and U. S. Sultanov, Fizicheskie Protsessy v Ochagakh Zemletryaseniy [Physical Processes of Earthquake Source] (Eds. M. A. Sadovskiy and V. I. Myachkina) (Moscow: Nauka: 1980), p. 78 (in Russian).
  3. V. V. Panasyuk and B. L. Lozovyy, DAN UkrSSR, No. 11: 1444 (1962) (in Ukrainian).
  4. V. V. Panasyuk, Predel'noe Ravnovesie Khrupkikh Tel s Treshchinami [Limit Equilibrium of Brittle Solids with Cracks] (Kiev: Naukova Dumka: 1968) (in Russian).
  5. T. L. Chelidze, Pure Appl. Geophys., 124, Nos. 4–5: 731 (1986). Crossref
  6. V. P. Tamuzh and V. S. Kuksenko, Mikromekhanika Destruktsii Polimernykh Materialov [Micromechanics of Destruction of Polymeric Materials] (Riga: Zinātne: 1978) (in Russian).
  7. L. R. Botvina, A. P. Soldatenkov, and M. R. Tyutin, Dokl. Earth Sci., 446, No. 1: 1127 (2012). Crossref
  8. L. R. Botvina, N. A. Zharkova, M. R. Tyutin, A. P. Soldatenkov, Yu. A. Demina, and V. P. Levin, Zavodskaya Laboratoriya. Diagnostika Materialov, 79, No. 5: 46 (2013) (in Russian).
  9. L. R. Botvina, M. R. Tyutin, T. B. Petersen, V. P. Levin, A. P. Soldatenkov, and Yu. A. Demina, Russian Metallurgy (Metally), 2017, No. 1: 10 (2017). Crossref
  10. C. M. Suh, R. Yuuki, and H. Kitagawa, Fatigue Fract. Eng. M, 8, No. 2: 193 (1985). Crossref
  11. L. R. Botvina, I. M. Rotvayn, V. I. Keylis-Borok, and I. B. Oparina, Doklady RAN, 345, No. 6: 809 (1995) (in Russian).
  12. L. R. Botvina, Razrushenie: Kinetika, Mekhanizmy, Obshchie Zakonomernosti [Fracture: Kinetics, Mechanisms, General Regularities] (Moscow: Nauka: 2008) (in Russian).
  13. I. Rotwain, V. Keilis-Borok, and L. Botvina, Phys. Earth Planet. In., 101, Nos. 1–2: 61 (1997). Crossref
  14. L. R. Botvina, I. B. Oparina, and O. V. Novikova, Met. Sci. Heat Treat., 39, Nos. 3–4: 151 (1997). Crossref
  15. L. R. Botvina, I. M. Petrova, I. V. Gadolina, V. P. Levin, Yu. A. Demina, A. P. Soldatenkov, and M. P. T'utin, Inorg. Mater., 46, No. 14: 1570 (2010). Crossref
  16. B. Gutenberg and C. F. Richter, Seismicity of the Earth and Associated Phenomena (Princeton, New Jersey: Princeton University Press: 1949).
  17. I. G. Main, S. Peacock, and P. G. Meredith, Pure Appl. Geophys., 133, No. 2: 283 (1990). Crossref
  18. G. A. Sobolev and A. V. Ponomarev, Fizika Zemletryaseniy i Predvestniki [Physics of Earthquakes and Precursors] (Moscow: Nauka: 2003) (in Russian).
  19. A. N. Kolmogorov, DAN USSR, 31, No. 2: 99 (1941) (in Russian).
  20. J. B. Rundle, W. Klein, D. L. Turcotte, and B. D. Malamud, Pure Appl. Geophys., 157, No. 11: 2165 (2000). Crossref
  21. V. A. Galkin, Analiz Matematicheskikh Modeley: Sistemy Zakonov Sokhraneniya, Uravneniya Boltsmana i Smolukhovskogo [Analysis of Mathematical Models: Set of Conservation Laws, the Boltzmann and Smoluchowski Equations) (Moscow: BINOM, Laboratoriya Znaniy: 2011) (in Russian).
  22. S. V. Shevchenko, Nanosistemi, Nanomateriali, Nanotehnologii, 13, No. 2: 371 (2015) (in Russian).