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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2013, Volume 54, Issue 1, Pages 163–169
(Mi pmtf1229)
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This article is cited in 4 scientific papers (total in 4 papers)
Limiting velocity of crack propagation in dynamically fractured materials
V. A. Morozova, G. G. Savenkovb a St. Petersburg State University, St. Petersburg, 198504, Russia
b Poisk Research Institute, Murino, Leningrad oblast, 188162, Russia
Abstract:
A model of a fractal crack is considered. It is found that the limiting velocity of crack propagation is determined by the fractal dimension of the crack contour. It is shown that for commercial steels, the limiting crack velocity is in the range $V_{\operatorname{lim}}=(0.155-0.537)c_1$ ($c_1$ is the speed of sound).
Keywords:
fractal crack, speed of sound, time scale, dimension.
Received: 05.12.2011 Revised: 06.06.2012
Citation:
V. A. Morozov, G. G. Savenkov, “Limiting velocity of crack propagation in dynamically fractured materials”, Prikl. Mekh. Tekh. Fiz., 54:1 (2013), 163–169; J. Appl. Mech. Tech. Phys., 54:1 (2013), 142–147
Linking options:
https://www.mathnet.ru/eng/pmtf1229 https://www.mathnet.ru/eng/pmtf/v54/i1/p163
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