 | | 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: | | 13427 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8178
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| In English (Mech. Solids): | | 5249 |
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| A.N. Vlasov and D.B. Volkov-Bogorodskiy, "Scale Effects of Fibrous and Dispersed Materials with an Interface Layer," Mech. Solids. 60 (6), 4375-4389 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
6 |
Pages |
4375-4389 |
| DOI |
10.1134/S0025654425602241 |
| Title |
Scale Effects of Fibrous and Dispersed Materials with an Interface Layer |
| Author(s) |
A.N. Vlasov (Institute of Applied Mechanics of Russian Academy of Sciences, Moscow, 125050 Russia, bah1955@yandex.ru)
D.B. Volkov-Bogorodskiy (Institute of Applied Mechanics of Russian Academy of Sciences, Moscow, 125050 Russia, v-b1957@yandex.ru) |
| Abstract |
The paper considers anomalous scale effects for fibrous and dispersed nanomaterials with a
gradient interphase layer caused by the dispersion and aggregation of inclusions. To model these
effects and evaluate the mechanical properties of dispersed and fibrous composites with interphase
layer, an analytical-numerical algorithm has been developed that allows one to obtain an exact solution to the cell problem in the Bakhvalov asymptotic homogenization method. This algorithm is used
to evaluate and simulate the effective characteristics of structurally inhomogeneous materials taking
into account the aggregation of the filling nanoparticles, when non-classical effects of strengthening
occur at ultra-small volume fractions. The obtained solutions also allow one to calculate the stress
concentration tensor that reproduces the distribution features of local stresses near inclusions taking
into account the gradient properties of the interphase layer. It is of great importance for evaluating the
strength characteristics of such materials. Using the developed algorithm a study was conducted of the
anomalous properties of polymethyl methacrylate filled with multilayer carbon nanotubes, and for the
first time, the presence of two enhancement waves of the mechanical properties for the composite with
ultra-low filler fractions was noted, which is confirmed by the similar behavior of metal-matrix composites based on an aluminum matrix and oxide fillers. |
| Keywords |
effective properties of fibrous and dispersed composites, multilayer spherical and cylindrical inclusions, gradient interphase layer, non-classical reinforcement effects at ultra-low volume fractions of filling, effects of dispersion and aggregation of inclusions |
| Received |
05 May 2025 | Revised |
24 May 2025 | Accepted |
25 May 2025 |
| Link to Fulltext |
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