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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2003, Volume 44, Issue 5, Pages 151–161 (Mi pmtf2548)  
This article is cited in 3 scientific papers (total in 3 papers)

Using a smoothing averaging operator to evaluate macroscopic parameters in structurally inhomogeneous materials

A. L. Svistkov, S. E. Evlampieva

Institute of Mechanics of Continua, Ural Division, Russiand Academy of Sciences, Perm', 614013
Full-text PDF (350 kB) Citations (3)
Abstract: A smoothing averaging operator is used in passing from structural to macroscopic modeling of the stress–strained state of an article from a composite material taking into account finite strains. A model is constructed using an integral operator, in which the macroscopic laws of conservation of energy and mass and the equation of motion have the ordinary form used to describe processes in homogeneous materials. As an example, macroscopic parameters are evaluated in a system consisting of an ensemble of inclusions in an infinite matrix.
Keywords: integral operator, averaging, macroscopic parameters, structurally inhomogeneous materials.
Received: 15.05.2002
Accepted: 23.01.2003
English version:
Journal of Applied Mechanics and Technical Physics, 2003, Volume 44, Issue 5, Pages 727–735
DOI: https://doi.org/10.1023/A:1025520823726
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: A. L. Svistkov, S. E. Evlampieva, “Using a smoothing averaging operator to evaluate macroscopic parameters in structurally inhomogeneous materials”, Prikl. Mekh. Tekh. Fiz., 44:5 (2003), 151–161; J. Appl. Mech. Tech. Phys., 44:5 (2003), 727–735
Citation in format AMSBIB
\Bibitem{SviEvl03}
\by A.~L.~Svistkov, S.~E.~Evlampieva
\paper Using a smoothing averaging operator to evaluate macroscopic parameters in structurally inhomogeneous materials
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2003
\vol 44
\issue 5
\pages 151--161
\mathnet{http://mi.mathnet.ru/pmtf2548}
\elib{https://elibrary.ru/item.asp?id=17274840}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2003
\vol 44
\issue 5
\pages 727--735
\crossref{https://doi.org/10.1023/A:1025520823726}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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