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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2006, Volume 47, Issue 5, Pages 119–130 (Mi pmtf2194)  
This article is cited in 6 scientific papers (total in 6 papers)

Use of the energy criterion of fracture to determine the shape of a slightly curved crack

S. A. Nazarova, M. Specovius-Neugebauerb

a Institute of Problems of Machine Science, Russian Academy of Sciences, St. Petersburg, 199178
b University of Kassel, Kassel, 34132, Germany
Full-text PDF (243 kB) Citations (6)
Abstract: An asymptotic formula is obtained for the total-energy increment during quasistatic growth of a semiin finite crack in an anisotropic elastic plane under complex loading. It is assumed that the shear loads are much larger than the tearing loads. The shape of the slightly curved crack was determined using the Griffith criterion in two versions: global and local. It is shown, in particular, that the first version leads to an improbable result.
Keywords: slightly curved crack, local and global Griffith fracture criteria, asymptotic analysis.
Received: 17.11.2005
English version:
Journal of Applied Mechanics and Technical Physics, 2006, Volume 47, Issue 5, Pages 714–723
DOI: https://doi.org/10.1007/s10808-006-0108-y
Bibliographic databases:
Document Type: Article
UDC: 539.375
Language: Russian
Citation: S. A. Nazarov, M. Specovius-Neugebauer, “Use of the energy criterion of fracture to determine the shape of a slightly curved crack”, Prikl. Mekh. Tekh. Fiz., 47:5 (2006), 119–130; J. Appl. Mech. Tech. Phys., 47:5 (2006), 714–723
Citation in format AMSBIB
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\by S.~A.~Nazarov, M.~Specovius-Neugebauer
\paper Use of the energy criterion of fracture to determine the shape of a slightly curved crack
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2006
\vol 47
\issue 5
\pages 119--130
\mathnet{http://mi.mathnet.ru/pmtf2194}
\elib{https://elibrary.ru/item.asp?id=16515927}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2006
\vol 47
\issue 5
\pages 714--723
\crossref{https://doi.org/10.1007/s10808-006-0108-y}
Linking options:
  • https://www.mathnet.ru/eng/pmtf2194
  • https://www.mathnet.ru/eng/pmtf/v47/i5/p119
    • This publication is cited in the following 6 articles:
    1. M. S. Konovalov, V. I. Lad'yanov, M. I. Mokrushina, P. G. Ovcharenko, “Effect of Structured Conglomerates of Oxides and Nitride on the Structure and Properties of Composites Based on Fe – Cr – Mn – Mo Alloy”, Met Sci Heat Treat, 2024  crossref
    2. G. Leugering, Marina Prechtel, Paul Steinmann, Michael Stingl, “A cohesive crack propagation model: Mathematical theory and numerical solution”, CPAA, 12:4 (2012), 1705  crossref
    3. M. Prechtel, G. Leugering, P. Steinmann, M. Stingl, “Towards optimization of crack resistance of composite materials by adjustment of fiber shapes”, Engineering Fracture Mechanics, 78:6 (2011), 944  crossref
    4. E.M. Rudoy, “Asymptotic behavior of the energy functional for a three-dimensional body with a rigid inclusion and a crack”, J. Appl. Mech. Tech. Phys., 52:2 (2011), 252–263  mathnet  mathnet  crossref
    5. E. M. Rudoy, “Griffith's Formula and Cherepanov–Rice's Integral for a Plate with a Rigid Inclusion and a Crack”, J. Math. Sci., 186:3 (2012), 511–529  mathnet  mathnet  crossref
    6. E. M. Rudoy, “Asymptotics of the energy functional for a fourth-order mixed boundary value problem in a domain with a cut”, Siberian Math. J., 50:2 (2009), 341–354  mathnet  mathnet  crossref  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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