 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| S. A. Zegzhda, N. F. Morozov, and B. N. Semenov, "Dynamics of separation of a prestressed thin two-layered plate," Mech. Solids. 38 (3), 139-143 (2003) |
| Year |
2003 |
Volume |
38 |
Number |
3 |
Pages |
139-143 |
| Title |
Dynamics of separation of a prestressed thin two-layered plate |
| Author(s) |
S. A. Zegzhda (St. Petersburg)
N. F. Morozov (St. Petersburg)
B. N. Semenov (St. Petersburg) |
| Abstract |
In the production of semiconductor nano-scale heterogeneous structures
great progress has been made mainly in manufacturing null-dimensional
(quantum points), one-dimensional (quantum wires), and two-dimensional
(quantum films) nano-structures. However, there exist certain technological
difficulties in producing three-dimensional semiconductor nano-structures.
Researchers at the Institute of Semiconductor Physics of the Russian Academy
of Sciences have proposed a concept of technology for fabricating
micro- and nanotubes whose properties are modulated in nano-scale. This
concept is based on the possibility of high-stressed two-layered plates
to roll oneself (spontaneously) into a tube when being removed from
the substrate by means of etching.
This work is an attempt to
model the dynamics of the process of rolling of a high-stressed
two-layered plate into a nanotube. To that end, we utilize with methods of
classical mechanics based on Lagrange's equations for systems with
unilateral constraints. The solution obtained is
used for characterizing the dependence of the diameter of the tube on the
layer parameters. Within the framework of this model, the process of
separation of the double layer from its base is regarded as a fracture
process initiated by weakened bonds between the stressed double layer and
the base. |
| References |
| 1. | C. Q. Ru,
"Effective bending stiffness of carbon nanotubes,"
Phys. Rev., B., Vol. 62, No. 15, pp. 9973-9976, 2000. |
| 2. | R. E. Miller and V. B. Shenoy,
"Size-dependent elastic properties of nanosized structural elements,"
Nanotechnology, Vol. 11, No. 3, pp. 139-147, 2000. |
| 3. | A. M. Krivtsov and N. F. Morozov,
"Anomalies in mechanical characteristics of nanosized objects,"
Doklady AN, Vol. 381, No. 3, pp. 345-347, 2001. |
| 4. | S. A. Kukushkin and A. V. Osipov,
"Processes of thin film condensation,"
Uspekhi Fiz. Nauk, Vol. 168, No. 10, pp. 1083-1116, 1998. |
| 5. | N. N. Ledentsov, V. M. Ustinov, V. A. Shschukin, P. S. Kop'ev,
Zh. I. Alferov, and D. Bimberg,
"Heterogeneous structures with quantum points: creation, properties, lasers,"
Fiz. i Tekhn. Poluprovodn., Vol. 32, No. 4, pp. 385-410, 1998. |
| 6. | V. Ya. Prinz, D. Grützmacher, A. Beyer, C. David, B. Ketterer, and
E. Deckard,
"A new technique for fabricating three-dimensional micro- and nanostructures of
various shapes," Nanotechnology, Vol. 12, No. 4, pp. 399-401, 2001. |
| 7. | V. Ya. Prinz, A. V. Chekhovskii, V. V. Preobrazhenskii,
B. R. Semyagin, and A. K. Gutakovsky,
"A technique for fabricating InGaAs/GaAs nanotubes of precisely controlled
lengths," Nanotechnology, Vol. 13, No. 2, pp. 231-233, 2002. |
| 8. | N. N. Polyakov, S. A. Zegzhdz, M. P. Yushkov,
Theoretical Mechanics [in Russian], Vysshaya Shkola, Moscow, 2000. |
|
| Received |
14 November 2002 |
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