Simulation of ceramic compositional materials fracture upon uniaxial compression
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2013), pp. 61-74
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Based on the developed model of quasi-brittle media, the brittle and quasi-brittle fracture of ceramic compositional materials with zirconium dioxide matrix and different percent content of corundum hardening particles is studied. The fracture is shown to develop in two stages — slow quasi-stationary phase of damage accumulation and superspeed catastrophic phase — aggravation mode when the fracture process reaches the macro-level and the macro-crack formation occurs.
Keywords: brittle and quasi-brittle fracture, quasi-stationary phase
Mots-clés : aggravation mode.
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P. V. Makarov; M. O. Eremin. Simulation of ceramic compositional materials fracture upon uniaxial compression. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2013), pp. 61-74. http://geodesic.mathdoc.fr/item/VTGU_2013_1_a7/

[1] Panin V. E., Korotaev A. D., Makarov P. V., Kuznetsov V. M., “Fizicheskaya mezomekhanika materialov”, Izv. vuzov. Fizika, 1998, no. 9, 8–36 | MR

[2] Makarov P. V., “Matematicheskaya teoriya evolyutsii nagruzhaemykh tverdykh tel i sred”, Fiz. mezomekh., 11:3 (2008), 19–35

[3] Kurdyumov S. P., Rezhimy s obostreniem. Evolyutsiya idei, 2-e izd., ispr. i dop., ed. G. G. Malinetskii, Fizmatlit, M., 2006, 312 pp.

[4] Makarov P. V., “Samoorganizovannaya kritichnost deformatsionnykh protsessov i perspektivy prognoza razrusheniya”, Fiz. mezomekh., 13:5 (2010), 97–112

[5] Parton V. Z., Morozov E. M., Mekhanika uprugo-plasticheskogo razrusheniya, Nauka, M., 1974, 416 pp.

[6] Makarov P. V., “Evolyutsionnaya priroda blochnoi organizatsii geomaterialov i geosred. Universalnyi kriterii fraktalnoi delimosti”, Geologiya i geofizika, 48:7 (2007), 724–746

[7] Makarov P. V., Smolin I. Yu., Stefanov Yu. P. i dr., Nelineinaya mekhanika geomaterialov i geosred, Akademich. izd-vo «Geo», Novosibirsk, 2007, 235 pp.

[8] Makarov P. V., “Nagruzhaemyi material kak nelineinaya dinamicheskaya sistema. Problemy modelirovaniya”, Fiz. mezomekh., 8:6 (2005), 39–56

[9] Evtushenko E. P., Eremin M. O., Kostandov Yu. A. i dr., “Modelirovanie razrusheniya khrupkikh i kvazikhrupkikh tel i geosred”, Fiz. mezomekh., 15:3 (2012), 35–44

[10] Garagash I. A., Nikolaevskii V. N., “Neassotsiirovannye zakony techeniya i lokalizatsii plasticheskoi deformatsii”, Uspekhi mekhaniki, 12:1 (1989), 131–183 | MR

[11] Zhurkov S. N., Narzullaev B. N., “Vremennaya zavisimost prochnosti tverdykh tel”, ZhTF, XXIII:10 (1953), 1677–1689

[12] Orowan E. J., West Scot. Iron and Steel Inst., 54 (1947), 45

[13] Uilkins M. L., “Raschet uprugoplasticheskikh techenii”, Vychislitelnye metody v gidrodinamike, Mir, M., 1967, 212–263

[14] Barenblatt G. I., Cherepanov G. P., “O vliyanii granits tela na razvitie treschin khrupkogo razrusheniya”, Izv. AN SSSR, OTN, mekhanika i mashinostroenie, 1960, no. 3

[15] Eremin M. O., Makarov P. V., Smolin I. Yu. i dr., “Izuchenie vliyaniya orientatsii treschiny na razrushenie khrupkikh obraztsov pri szhatii”, Materialy XXI Mezhdunarodnoi nauchnoi shkoly, 2011, Tavrich. nats. un-t, Simferopol, 412