 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4810 |
|
| << Previous article | Volume 48, Issue 5 / 2013 | Next article >> |
| V.A. Babeshko, O.M. Babeshko, O.V. Evdokimova, A.G. Fedorenko, and V.L. Shestopalov, "Cracked Coating Problem in Nanomaterials and Seismology," Mech. Solids. 48 (5), 514-519 (2013) |
| Year |
2013 |
Volume |
48 |
Number |
5 |
Pages |
514-519 |
| DOI |
10.3103/S0025654413050063 |
| Title |
Cracked Coating Problem in Nanomaterials and Seismology |
| Author(s) |
V.A. Babeshko (Kuban State University, Stavropol'skaya 149, Krasnodar, 350040 Russia, babeshko41@mail.ru, babeshko@kubsu.ru)
O.M. Babeshko (Kuban State University, Stavropol'skaya 149, Krasnodar, 350040 Russia)
O.V. Evdokimova (South Scientific Center, Russian Academy of Sciences, Chekhova 41, Rostov-on-Don, 344006 Russia)
A.G. Fedorenko (South Scientific Center, Russian Academy of Sciences, Chekhova 41, Rostov-on-Don, 344006 Russia)
V.L. Shestopalov (South Scientific Center, Russian Academy of Sciences, Chekhova 41, Rostov-on-Don, 344006 Russia, vlshestopalov@gmail.com) |
| Abstract |
A method for studying the stress-strain state of block structures typical of materials with coating, including nanomaterials, is presented under the assumption that the coating consists of two-dimensional horizontally arranged different-type blocks contacting with each other along their boundaries. The coating is located on the surface of a three-dimensional linearly deformable substrate. The block structures in question are subjected to an external action (in particular, vertically harmonic). This is also typical of lithospheric plate structures, whose stress-strain state can be studied to obtain information about the seismicity of territories. In the present paper, the topological approach in [1] is refined and used to derive new integral equations, which permit studying the stress-strain state of such block structures. |
| Keywords |
block structure, stress-strain state, coating, crack, exterior form, pseudodifferential equation |
| References |
| 1. | V. A. Babeshko, J. A. Ritzer, O. V. Evdokimova, et al., "A
Topological Approach to the Theory of Forecast of Seismicity Based
on a Mechanical Conception," Dokl. Ross. Akad. Nauk 450
(2), 166-170 (2013) [Dokl. Phys. (Engl. Transl.) 58 (5),
181-185 (2013)]. |
| 2. | I. I. Vorovich, V. M. Alexandrov, and V. A. Babeshko,
Nonclassical Mixed Problems of Elasticity
(Nauka, Moscow, 1974)
[in Russian]. |
| 3. | I. I. Vorovich and V. A. Babeshko,
Dynamical Mixed Problems of Elasticity for Nonclassical Domains
(Nauka, Moscow, 1979)
[in Russian]. |
| 4. | V. A. Babeshko, O. V. Evdokimova, and O. M. Babeshko,
"Differential Factorization Method in Block Structures and Nanostructures,"
Dokl. Ross. Akad. Nauk
415 (5), 596-599 (2007)
[Dokl. Math. (Engl. Transl.)
76 (1), 614-617 (2007)]. |
| 5. | O. V. Evdokimova, O. M. Babeshko, and V. A. Babeshko,
"On the Differential Factorization Method in Inhomogeneous Problems,"
Dokl. Ross. Akad. Nauk
418 (3), 321-323 (2008)
[Dokl. Math. (Engl. Transl.)
77 (1), 140-142 (2008)]. |
| 6. | V. A. Babeshko, O. V. Evdokimova, and O. M. Babeshko,
"Automorphism and Pseudo-Differential Equations in the Block-Element Method,"
Dokl. Ross. Akad. Nauk
438 (5), 623-625 (2011)
[Dokl. Phys. (Engl. Transl.)
56 (6), 348-351 (2011)]. |
| 7. | V. A. Babeshko, O. V. Evdokimova, and O. M. Babeshko, "Topological
Method of Solving Boundary Value Problems and Block Elements,"
Dokl. Ross. Akad. Nauk 449 (6), 657-660 (2013) [Dokl.
Phys. (Engl. Transl.) 58 (4), 152-155 (2013)]. |
| 8. | V. A. Babeshko, O. V. Evdokimova, and O. M. Babeshko,
"Certain General Properties of Block Elements,"
Dokl. Ross. Akad. Nauk
442 (1), 37-40 (2012)
[Dokl. Phys. (Engl. Transl.)
57 (1), 14-17 (2012)]. |
| 9. | V. A. Babeshko, O. M. Babeshko, and O. V. Evdokimova,
"On the Theory of a Block Element,"
Dokl. Ross. Akad. Nauk
427 (2), 183-186 (2009)
[Dokl. Phys. (Engl. Transl.)
54 (7), 329-332 (2009)]. |
| 10. | V. A. Babeshko, O. V. Evdokimova, and O. M. Babeshko,
"About Polyhedral and Convex Block Elements,"
Dokl. Ross. Akad. Nauk
432 (5), 620-623 (2010)
[Dokl. Phys. (Engl. Transl.)
55 (6), 292-296 (2010)]. |
| 11. | V. A. Babeshko, O. V. Evdokimova, and O. M. Babeshko, "Block
Elements with a Cylindrical Boundary in Macro- and
Nanostructures," Dokl. Ross. Akad. Nauk 440 (6), 756-759
(2011) [Dokl. Phys. (Engl. Transl.) 56 (10), 544-547
(2011)]. |
| 12. | V. A. Babeshko, O. V. Evdokimova, and O. M. Babeshko,
"Block Elements with a Nonplanar Boundary,"
Dokl. Ross. Akad. Nauk
444 (5), 501-505 (2012)
[Dokl. Phys. (Engl. Transl.)
57 (6), 245-249 (2012)] |
| 13. | V. A. Babeshko, Generalized Factorization Method in Spatial Dynamical Mixed Problems in Elasticity (Moscow, Nauka, 1984) [in
Russian]. |
| 14. | V. A. Babeshko, O. V. Evdokimova, and O. M. Babeshko,
"Virus Theory of Certain Natural Anomalies,"
Dokl. Ross. Akad. Nauk
447 (6), 624-628 (2012)
[Dokl. Phys. (Engl. Transl.)
57 (12), 487-491 (2012)]. |
| 15. | V. A. Babeshko, O. V. Evdokimova, and O. M. Babeshko,
"Quantum-Mechanical Properties of Block Elements in Nanomaterials,"
Dokl. Ross. Akad. Nauk
435 (2), 190-194 (2010)
[Dokl. Phys. (Engl. Transl.)
55 (11), 568-572 (2012)]. |
|
| Received |
03 June 2013 |
| Link to Fulltext |
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