| | 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
|
In English (Mech. Solids): | | 4760 |
|
<< Previous article | Volume 45, Issue 3 / 2010 | Next article >> |
A.M. Krivtsov and E.A. Podol'skaya, "Modeling of Elastic Properties of Crystals with Hexagonal Close-Packed Lattice," Mech. Solids. 45 (3), 370-378 (2010) |
Year |
2010 |
Volume |
45 |
Number |
3 |
Pages |
370-378 |
DOI |
10.3103/S0025654410030076 |
Title |
Modeling of Elastic Properties of Crystals with Hexagonal Close-Packed Lattice |
Author(s) |
A.M. Krivtsov (Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, Bol'shoy pr-t 61, St. Petersburg, 199178 Russia, akrivtsov@bk.ru)
E.A. Podol'skaya (Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, Bol'shoy pr-t 61, St. Petersburg, 199178 Russia, katepodolskaya@gmail.com) |
Abstract |
In the present paper, we consider mechanical properties of an ideal hexagonal close-packed (HCP) crystal lattice. We construct three models for describing the elastic characteristics of metals with HCP lattice. Using examples of nine metals with different degree of geometric imperfection (beryllium, hafnium, cadmium, cobalt, magnesium, rhenium, titanium, zinc, and zirconium), we show that including the moment interaction into the model leads to a more accurate description of the elastic properties than taking into account the geometric features of a specific lattice. We also show that, depending on the type of the electron shell, it is efficient to use different models; namely, for d-elements, it suffices to use the two-parameter force model, while for the s-elements, it is required to take the moment interaction into account. |
Keywords |
HCP lattice, elastic properties, moment interaction, electron shell, bulk compression modulus |
References |
1. | A. M. Krivtsov,
Deformation and Failure of Solids with Microstructure
(Fizmatlit, Moscow, 2007)
[in Russian]. |
2. | R. W. Hockney and J. W. Eastwood,
Computer Simulation Using Particles
(A. Hilger, New York, 1988). |
3. | M. P. Allen and A. K. Tildesley,
Computer Simulation of Liquids
(Clarendon Press, Oxford, 1987). |
4. | R. V. Goldstein and A. V. Chentsov,
"Discrete-Continuous Model of a Nanotube,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 4, 57-74 (2005)
[Mech. Solids (Engl. Transl.)
40 (4), 45-59 (2005)]. |
5. | R. V. Goldstein, V. A. Gorodtsov, and D. S. Lisovenko,
"Mesomechanics of Multilayer Carbon Nanotubes and Nanowhiskers,"
Fizich. Mezomekh.
11 (6), 25-42 (2008). |
6. | A. M. Krivtsov and N. F. Morozov,
"Anomalies in Mechanical Characteristics of Nanometer-Size Objects,"
Dokl. Ross. Akad. Nauk
381 (3), 345-347 (2001)
[Dokl. Phys. (Engl. Transl.)
46 (11), 825-827 (2001)]. |
7. | E. A. Gudilin, A. V. Garshev, A. E. Baranchikov, et al.,
The Riches of the Nanoworld. Photo Reportage from the Depths of Matter,
Ed. by Yu. D. Tret'yakov
(BINOM, Laboratoriya Znanii, Moscow, 2009)
[in Russian]. |
8. | A. Yu. Kuksin, G. E. Norman, V. V. Stegailov, and A. V. Yanilkin,
"Molecular Simulation as a Scientific Base of Nanotechnologies in Power Engineering,"
J. Engng Thermophys.
18 (3), 197-226 (2009). |
9. | B. D. Annin, S. N. Korobeynikov, and A. V. Babichev,
"Computer Simulation of a Twisted Nanotube Buckling,"
Sib. Zh. Industr. Mat.
11 (1), 3-22 (2008)
[J. Appl. Industr. Math. (Engl. Transl.)
3 (3), 318-333 (2009)]. |
10. | Ch. P. Poole, Jr., and F. J. Owens,
Nanotechnologies, 4th ed. revised and completed
(Wiley, New York, 2003; Tekhnosfera, Moscow, 2009). |
11. | A. M. Krivtsov,
Elastic Properties of One-Atomic and Two-Atomic Crystals
(Izd. Politekh. Univ., St. Petersburg, 2009)
[in Russian]. |
12. | I. E. Berinskii, N. G. Dvas, A. M. Krivtsov, et al.
Theoretical Mechanics. Elastic Properties of One-Atomic and Two-Atomic Crystals,
Ed. by A. M. Krivtsov,
(Izd-vo Politekh. Univ., St. Petersburg, 2009)
[in Russian]. |
13. | Y. Chen,
"Local Stress and Heat Flux in Atomistic Systems Involving Three-Body Forces,"
J. Chem. Phys.
124, 054113 (2006). |
14. | J. A. Zimmerman, R. E. Jones, and J. A. Templeton,
"A Material Frame Approach for Evaluating Continuum Variables in Atomistic Simulations,"
J. Comp. Phys.
229 (1), 2364-2389 (2010). |
15. | V. M. Fomin, I. F. Golovnev, and A. V. Utkin,
"Relation between the Atomic Picture and Continuum Mechanics Description of Detonating Solid-State Explosives,"
Shock Waves
13 (1), 155-165 (2003). |
16. | E. A. Ivanova, A. M. Krivtsov, N. F. Morozov, and A. D. Firsov,
"Description of Crystal Packing of Particles with Torque Interaction,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 4, 110-127 (2003)
[Mech. Solids (Engl. Transl.)
38 (4), 76-88 (2003)]. |
17. | N. A. Baranov, E. A. Dubov, I. V. Dyatlova, and E. V. Chernykh,
"Atomic-Discrete Description of the Effect of Anisotropic Interatomic Interactions on the Elastic Properties of Metals with a Hexagonal Close-Packed Lattice,"
Fiz. Tverd. Tela
46 (2), 212-217 (2004)
[Phys. Solid State (Engl. Transl.)
46 (2), 213-218 (2004)]. |
18. | E. I. Golovneva, I. F. Golovnev, and V. M. Fomin,
"Modeling of Quasistatic Processes in Crystals by a Method of Molecular Dynamics,"
Fizich. Mezomekh.
6 (6), 5-10 (2003). |
19. | D. M. Vasil'ev,
Physical Crystallography
(Metallurgiya, Moscow, 1981)
[in Russian]. |
20. | V. M. Silonov, E. V. Evlyukhina, O. V. Kris'ko, and A. B. Evlyukhin,
"Influence of Interatomic Correlation Effects on Short-Range Order in Hexagonal Close-Packed Polycrystalline Alloys,"
Fiz. Tverd. Tela
41 (12), 2009-2015 (1999)
[Phys. Solid State (Engl. Transl.)
41 (12), 1933-1939 (1999)]. |
21. | P. A. Zhilin,
Vectors and Tensors of Rank Two in Three-Dimensional Space
(Nestor, St. Petersburg, 2001)
[in Russian]. |
22. | A. I. Lurie,
Nonlinear Theory of Elasticity
(Nauka, Moscow, 1980)
[in Russian]. |
23. | E. A. Ivanova, A. M. Krivtsov, and N. F. Morozov,
"Derivation of Macroscopic Relations of the Elasticity of Complex Crystal Lattices Taking into Account the Moment Interactions at the Microlevel,"
Prikl. Mat. Mekh.
71 (4), 595-615 (2007)
[J. Appl. Math. Mech. (Engl. Transl.)
71 (4), 543-561 (2007)]. |
24. | I. S. Grigoriev and E. Z. Meilikhov (Editors),
Physical Quantities, Reference Book
(Energoatomizdat, Moscow, 1991)
[in Russian]. |
|
Received |
30 January 2010 |
Link to Fulltext |
|
<< Previous article | Volume 45, Issue 3 / 2010 | Next article >> |
|
If you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter
|
|