 | | 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 |
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| R.R. Mulyukov and A.I. Pshenichnyuk, "Deformation of Nanocrystalline Materials in the Formalism of Coupled Mode Theory," Mech. Solids. 46 (1), 123-128 (2011) |
| Year |
2011 |
Volume |
46 |
Number |
1 |
Pages |
123-128 |
| DOI |
10.3103/S0025654411010183 |
| Title |
Deformation of Nanocrystalline Materials in the Formalism of Coupled Mode Theory |
| Author(s) |
R.R. Mulyukov (Institute for Metals Superplasticity Problems, Russian Academy of Sciences, St. Khalturina 39, Ufa, 450001 Russia, radic@anrb.ru)
A.I. Pshenichnyuk (Institute for Metals Superplasticity Problems, Russian Academy of Sciences, St. Khalturina 39, Ufa, 450001 Russia, apish@anrb.ru) |
| Abstract |
In the present paper, we suggest to use the coupled mode theory (CMT) to describe the strain behavior of nanomaterials. Our approach is based on the analogy between nanocrystalline and granulated materials, on the similarity in the behavior of granulated materials, concentrated suspensions, and amorphous materials, and on the efficiency of CMT in the description of glass and suspension rheology. We use the successive approximation method for solving the nonlinear integro-differential equation of the CMT and show that already the first approximation describes the main qualitative properties of numerical solutions quite well. The Laplace transform is written out for the second approximation, which permits integrating the correlator over time and writing out the rheological relation implicitly. |
| Keywords |
nanocrystalline materials, granulated materials, suspensions, glasses, deformation mechanisms, shear bands, rheology |
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|
| Received |
22 January 2010 |
| Link to Fulltext |
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