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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 1999, Volume 40, Issue 4, Pages 170–178 (Mi pmtf3121)  
Mathematical model of a heterogeneous medium consisting of a matrix and spherical inclusions

S. P. Kiselev, V. M. Fomin

Institute of Theoretical and Applied Mechanics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090
Full-text PDF (675 kB)
Abstract: A mathematical model of a heterogeneous medium consisting of an elastoplastic matrix and elastic spherical inclusions is constructed. The model takes into account plastic zones, which appear in the vicinity of the inclusions. It is shown that when the effect of plastic zones is taken into account, the averaged “moduli” of volume compression, shear, and yield strength depend not only on the volume concentrations of the inclusions, but also on the mean pressure in the medium.
Received: 31.03.1997
Accepted: 21.08.1997
English version:
Journal of Applied Mechanics and Technical Physics, 1999, Volume 40, Issue 4, Pages 704–711
DOI: https://doi.org/10.1007/BF02468447
Document Type: Article
UDC: 539.374
Language: Russian
Citation: S. P. Kiselev, V. M. Fomin, “Mathematical model of a heterogeneous medium consisting of a matrix and spherical inclusions”, Prikl. Mekh. Tekh. Fiz., 40:4 (1999), 170–178; J. Appl. Mech. Tech. Phys., 40:4 (1999), 704–711
Citation in format AMSBIB
\Bibitem{KisFom99}
\by S.~P.~Kiselev, V.~M.~Fomin
\paper Mathematical model of a heterogeneous medium consisting of a matrix and spherical inclusions
\jour Prikl. Mekh. Tekh. Fiz.
\yr 1999
\vol 40
\issue 4
\pages 170--178
\mathnet{http://mi.mathnet.ru/pmtf3121}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 1999
\vol 40
\issue 4
\pages 704--711
\crossref{https://doi.org/10.1007/BF02468447}
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