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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2013, Volume 54, Issue 1, Pages 163–169 (Mi pmtf1229)  
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
Full-text PDF (398 kB) Citations (4)
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 Vlim=(0.155−0.537)c1 (c1 is the speed of sound).
Keywords: fractal crack, speed of sound, time scale, dimension.
Received: 05.12.2011
Revised: 06.06.2012
English version:
Journal of Applied Mechanics and Technical Physics, 2013, Volume 54, Issue 1, Pages 142–147
DOI: https://doi.org/10.1134/S0021894413010173
Bibliographic databases:
Document Type: Article
UDC: 539.375
Language: Russian
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
Citation in format AMSBIB
\Bibitem{MorSav13}
\by V.~A.~Morozov, G.~G.~Savenkov
\paper Limiting velocity of crack propagation in dynamically fractured materials
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2013
\vol 54
\issue 1
\pages 163--169
\mathnet{http://mi.mathnet.ru/pmtf1229}
\elib{https://elibrary.ru/item.asp?id=24115864}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2013
\vol 54
\issue 1
\pages 142--147
\crossref{https://doi.org/10.1134/S0021894413010173}
Linking options:
  • https://www.mathnet.ru/eng/pmtf1229
  • https://www.mathnet.ru/eng/pmtf/v54/i1/p163
    • This publication is cited in the following 4 articles:
    1. V. A. Morozov, V. I. Bogatko, A. B. Yakovlev, “About mathematical simulation of processes for high-speed loading of materials on Department of Physical Mechanics of St. Petersburg State University”, Vestn. St. Petersbg. Univ., Math., 7:4 (2020), 450–458  mathnet  mathnet  crossref  crossref
    2. Viktor Morozov, Victor Kats, Georgiy Savenkov, Anton Lukin, AIP Conference Proceedings, 1959, 2018, 100006  crossref
    3. Abolfazl Abdollahipour, Mohammad Fatehi Marji, Alireza Yarahmadi Bafghi, Javad Gholamnejad, “Time-dependent crack propagation in a poroelastic medium using a fully coupled hydromechanical displacement discontinuity method”, Int J Fract, 199:1 (2016), 71  crossref
    4. V. A. Morozov, G. G. Savenkov, B. K. Barakhtin, A. A. Lukin, Yu. F. Gun'ko, K. A. Rudometkin, “Crack velocity in ultrafast loading”, Tech. Phys. Lett., 41:2 (2015), 117  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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