 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| A.V. Mishin and V.M. Fomin, "Analysis of the Behavior of Heterogeneous Media with Significantly Differing Physical Properties with Allowance for the Effective Dimension of the Space and Generalized Derivative Formalism," Mech. Solids. 57 (8), 2005-2019 (2022) |
| Year |
2022 |
Volume |
57 |
Number |
8 |
Pages |
2005-2019 |
| DOI |
10.3103/S0025654422080210 |
| Title |
Analysis of the Behavior of Heterogeneous Media with Significantly Differing Physical Properties with Allowance for the Effective Dimension of the Space and Generalized Derivative Formalism |
| Author(s) |
A.V. Mishin (Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences, Novosibirsk 630090 Russia; Novosibirsk State University, Novosibirsk, 630090 Russia, aleksey-mishin94@mail.ru)
V.M. Fomin (Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences, Novosibirsk 630090 Russia; Novosibirsk State University, Novosibirsk, 630090 Russia, fomin@itam.nsc.ru) |
| Abstract |
The effective coefficients of linear elasticity theory are obtained and analyzed with the aim
to analytically describe heterogeneous media. This is done for an arbitrary dimension of the space
under consideration and taking into account the generalized derivative formalism. The effective coefficients and their derivatives are explored for the presence of a carrier phase and a structural phase
transition (percolation properties) over the entire range of volumetric concentration. Based on the
analysis carried out, a comparison is made with the results of existing approaches and with the available data on colloids, suspensions, and granular media. |
| Keywords |
heterogeneous medium, microstructure, space dimension, stochastic model, structural phase transition |
| Received |
22 February 2022 | Revised |
11 May 2022 | Accepted |
18 May 2022 |
| Link to Fulltext |
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