 | | 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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| O. S. Loboda and A. M. Krivtsov, "The influence of the scale factor on the elastic moduli of a 3D nanocrystal," Mech. Solids. 40 (4), 20-32 (2005) |
| Year |
2005 |
Volume |
40 |
Number |
4 |
Pages |
20-32 |
| Title |
The influence of the scale factor on the elastic moduli of a 3D nanocrystal |
| Author(s) |
O. S. Loboda (St. Petersburg)
A. M. Krivtsov (St. Petersburg) |
| Abstract |
A 3D nanocrystal with face-centered cubic lattice is considered.
The crystal contains a finite number of layers along one of
the directions xyz and infinite number of layers along the other
two directions (nanoplate) or infinite number of layers along one direction and
a finite number of layers along the other two directions (nanobar).
For these models, the elastic moduli - Poisson's ratios and Young's
moduli in three directions - are determined and the dependence of
the values of these moduli on the dimensions of the nanocrystal is
studied. It is shown that the elastic stiffness tensor of this crystal
is non-symmetric. The size of the crystal in the direction
along which the number of layers is finite cannot be determined uniquely,
which leads to an ambiguity in determining the mechanical properties
of the crystal. The dependence of the elastic moduli on the sizes
of the crystal in different directions is investigated, the values of
Young's moduli being shown to depend substantially on the method for
determining the sizes of the nanocrystal.
The present paper is a continuation of the investigations of the influence of
the scale factor on the mechanical properties of the material that have
been started by the authors for a 2D strip of a monocrystal material
with hexagonal close-packed lattice. In this paper, the investigation
is performed for 3D model and the transition to 2D model is demonstrated.
The scale effects appearing when the continuum elasticity theory is applied
to nanoscale objects are estimated. |
| References |
| 1. | D. L. Bykov and D. N. Konovalov, "Specific features of viscoelastic materials in the case
of buckling of thin-walled structures," in Transactions of the XXXVI International Seminar
"Topical Issues of Strength" [in Russian], Vitebsk, 2000, pp. 428-433. |
| 2. | Yu. P. Baidarovtsev, G. N. Savenkov, and V. A. Tarasenko,
"A method for determining the strength charactristics of ultrathin layers,"
Vysokomolekulyarnye Soedineniya, Ser. A, Vol. 41, No. 8, pp. 1302-1307,
1999. |
| 3. | J. J. Kim, H. A. Marzouk, C. C. Eloi, and J. D. Robertson,
"Effect of water vapor on the nucleation an growth of chemical vapor
deposited copper films on spin-coated polyamide,"
J. Appl. Phys., Vol. 78, No. 1, pp. 245, 1995. |
| 4. | A. M. Krivtsov and N. F. Morozov,
"On the mechanical characteristics of nanoscale objects,"
Fizika Tverdogo Tela, Vol. 44, No. 12, pp. 2158-2163, 2002. |
| 5. | A. M. Krivtsov and N. F. Morozov,
"Anomalies in mechanical characteristics
of nanoscale objects,"
Doklady RAN, Vol. 381, No. 3, pp. 825-827, 2001. |
| 6. | E. A. Ivanova, A. M. Krivtsov, and N. F. Morozov,
"Specific features of the calculation of the bending rigidity
for nanocrystals,"
Doklady RAN, Vol. 385, No. 4, pp. 494-496, 2002. |
| 7. | E. I. Golovneva, I. F. Golovnev, and V. M. Fomin,
"Research of nanoclasters size effect on the molecular-dynamic
modeling results,"
Fizicheskaya Mezomekhanika, No. 7, Spets. vypusk. Ch. 2, pp. 11-13,
2004. |
|
| Received |
12 February 2005 |
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