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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2004, Volume 45, Issue 6, Pages 95–102 (Mi pmtf2445)  

Two nonlinear models of brittle fracture for solids

A. V. Shutov

Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090, Russia
Abstract: This paper considers isotropic and orthotropic nonlinear constitutive relations for brittle materials in the case of plane stresses. Numerical solution algorithms based on the finite-element method are developed. The resulting material models are incorporated in the PIONER software. The correctness of crack path determination is examined by solving a test problem of crack propagation. The isotropic model gives mesh-dependent results, whereas the orthotropic model provides an adequate solution. It is shown that solutions obtained for the isotropic model are close to those obtained by eliminating failed elements.
Keywords: mechanics of deformable solids, finite-element method, fracture mechanics, brittle fracture.
Received: 01.10.2003
Accepted: 01.12.2003
English version:
Journal of Applied Mechanics and Technical Physics, 2004, Volume 45, Issue 6, Pages 853–859
DOI: https://doi.org/10.1023/B:JAMT.0000046034.58918.e5
Bibliographic databases:
Document Type: Article
UDC: 518.61: 539.375
Language: Russian
Citation: A. V. Shutov, “Two nonlinear models of brittle fracture for solids”, Prikl. Mekh. Tekh. Fiz., 45:6 (2004), 95–102; J. Appl. Mech. Tech. Phys., 45:6 (2004), 853–859
Citation in format AMSBIB
\Bibitem{Shu04}
\by A.~V.~Shutov
\paper Two nonlinear models of brittle fracture for solids
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2004
\vol 45
\issue 6
\pages 95--102
\mathnet{http://mi.mathnet.ru/pmtf2445}
\elib{https://elibrary.ru/item.asp?id=17249384}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2004
\vol 45
\issue 6
\pages 853--859
\crossref{https://doi.org/10.1023/B:JAMT.0000046034.58918.e5}
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