 | | 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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| D.B. Volkov-Bogorodskii and S.A. Lurie, "Eshelby Integral Formulas in Gradient Elasticity," Mech. Solids. 45 (4), 648-656 (2010) |
| Year |
2010 |
Volume |
45 |
Number |
4 |
Pages |
648-656 |
| DOI |
10.3103/S0025654410040138 |
| Title |
Eshelby Integral Formulas in Gradient Elasticity |
| Author(s) |
D.B. Volkov-Bogorodskii (Institute of Applied Mechanics, Russian Academy of Sciences, GSP-1, V-334, Leninskii pr-t 32A, Moscow, 117334 Russia, v-b1957@yandex.ru)
S.A. Lurie (Institute of Applied Mechanics, Russian Academy of Sciences, GSP-1, V-334, Leninskii pr-t 32A, Moscow, 117334 Russia, lurie@ccas.ru) |
| Abstract |
Eshelby integral formulas play a fundamental role in mechanics of composite materials, because they provide an efficient tool for determining the average properties of dispersion-filled materials. For example, their use in the framework of the self-consistent averaging method actually gives a final and quite precise solution to the problem of determining effective physical and mechanical properties of filled composites up to large relative contents of inclusions and almost all relations between the phase characteristics of the composite. In the present paper, we generalize the Eshelby integral formulas to the gradient theory of elasticity. This provides the possibility for using efficient methods for estimating the average characteristics of micro and nano-structured materials in the framework of gradient theories, which permit taking the scale effects into account correctly, and hence find wider and wider applications in describing the mechanical and physical processes. |
| Keywords |
composites, effective properties, gradient theory, special representations of solutions, self-consistency method |
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|
| Received |
11 May 2010 |
| Link to Fulltext |
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