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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2007, Volume 48, Issue 3, Pages 164–172 (Mi pmtf2041)  

This article is cited in 6 scientific papers (total in 6 papers)

Deformation model for brittle materials and the structure of failure waves

E. I. Romenskii

Sobolev Institute of Mathematics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090
Full-text PDF (244 kB) Citations (6)
Abstract: Constitutive equations that describe the experimentally observed failure waves are proposed to model inelastic strains of brittle materials. The complete system of equations is hyperbolic, each equation of this system has divergent form. The model is based on the assumption that continual failure is the process of transition from an intact state to a “fully damaged” state described by the kinetics of the order parameter. The structure of stationary traveling compressive waves is analyzed using a simplified model. It is shown that in a certain range of amplitudes, the wave splits into an elastic precursor and a failure wave.
Keywords: inelastic strain of brittle materials, failure waves, shock-wave structure.
Received: 26.06.2006
English version:
Journal of Applied Mechanics and Technical Physics, 2007, Volume 48, Issue 3, Pages 437–444
DOI: https://doi.org/10.1007/s10808-007-0054-3
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: E. I. Romenskii, “Deformation model for brittle materials and the structure of failure waves”, Prikl. Mekh. Tekh. Fiz., 48:3 (2007), 164–172; J. Appl. Mech. Tech. Phys., 48:3 (2007), 437–444
Citation in format AMSBIB
\Bibitem{Rom07}
\by E.~I.~Romenskii
\paper Deformation model for brittle materials and the structure of failure waves
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2007
\vol 48
\issue 3
\pages 164--172
\mathnet{http://mi.mathnet.ru/pmtf2041}
\elib{https://elibrary.ru/item.asp?id=17425629}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2007
\vol 48
\issue 3
\pages 437--444
\crossref{https://doi.org/10.1007/s10808-007-0054-3}
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  • https://www.mathnet.ru/eng/pmtf/v48/i3/p164
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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