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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2009, Issue 2(68), Pages 111–117 (Mi vsgu227)  

Mechanics

Nonlinear hardening of non-uniformly distributed unstable phase structures

V. O. Levchenko, A. V. Mantulenko, A. L. Saraev

Dept. of Mathematics, Computer Science and Mathematical Methods in the Economy, Samara State University, Samara, 443011, Russia (published under the terms of the Creative Commons Attribution 4.0 International License)
References:
Abstract: In the article mathematical models of process of the phase changes in unstable elastic medium, the elements of phase structure of which are formed and distributed in space non-uniformly are constructed. Two types of structures are considered. In the first case new phase forms accumulations in the form of separate inclusions. In the second case new and old phases form accumulations in the form of interpenetrating skeletons. Statistical averaging of nonlinear systems of equilibrium equations of nonuniformly distributed micro heterogeneity environments with unstable components allows to establish their macroscopically determining equations and calculate appropriate effective characteristics.
Keywords: determining equations, phase changes, effective characteristics, micro structure, statistical averaging.
Received: 09.02.2009
Revised: 09.02.2009
Document Type: Article
UDC: 539.4
Language: Russian
Citation: V. O. Levchenko, A. V. Mantulenko, A. L. Saraev, “Nonlinear hardening of non-uniformly distributed unstable phase structures”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2009, no. 2(68), 111–117
Citation in format AMSBIB
\Bibitem{LevManSar09}
\by V.~O.~Levchenko, A.~V.~Mantulenko, A.~L.~Saraev
\paper Nonlinear hardening of non-uniformly distributed unstable phase structures
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2009
\issue 2(68)
\pages 111--117
\mathnet{http://mi.mathnet.ru/vsgu227}
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    Вестник Самарского государственного университета. Естественнонаучная серия
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    References:24
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