 | | 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 |
|
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| V.A. Babeshko, O.M. Babeshko, I.B. Gladskoi, O.V. Evdokimova, G.N. Uafa, T.A. Khafuz, and V.L. Shestopalov, "Localization of a Static Process in Bodies with Defect Coatings," Mech. Solids. 50 (4), 432-438 (2015) |
| Year |
2015 |
Volume |
50 |
Number |
4 |
Pages |
432-438 |
| DOI |
10.3103/S0025654415040093 |
| Title |
Localization of a Static Process in Bodies with Defect Coatings |
| Author(s) |
V.A. Babeshko (South Scientific Center, Russian Academy of Sciences, ul. Chekhova 41, Rostov-on-Don, 344006 Russia, babeshko41@mail.ru, babeshko@kubsu.ru)
O.M. Babeshko (Kuban State University, ul. Stavropol'skaya 149, Krasnodar, 350040 Russia)
I.B. Gladskoi (Kuban State University, ul. Stavropol'skaya 149, Krasnodar, 350040 Russia)
O.V. Evdokimova (South Scientific Center, Russian Academy of Sciences, ul. Chekhova 41, Rostov-on-Don, 344006 Russia)
G.N. Uafa (South Scientific Center, Russian Academy of Sciences, ul. Chekhova 41, Rostov-on-Don, 344006 Russia)
T.A. Khafuz (South Scientific Center, Russian Academy of Sciences, ul. Chekhova 41, Rostov-on-Don, 344006 Russia)
V.L. Shestopalov (South Scientific Center, Russian Academy of Sciences, ul. Chekhova 41, Rostov-on-Don, 344006 Russia, vlshestopalov@gmail.com) |
| Abstract |
It was shown earlier that processes described by dynamic as well as static mixed boundary value problems can manifest localization. In this case, some new, earlier unstudied phenomena can be discovered. The block element method is a convenient tool for studying process localization phenomena, because the statement of the localization conditions is based on the integral factorization method containing the algorithm for constructing block elements. An example of a mixed boundary value problem for a stress-strain process for coatings with defects is used below to show that the localization is possible in the case of a static process. |
| Keywords |
mixed boundary value problem, localization, factorization of matrix functions, topology, exterior forms, integral equtaions |
| References |
| 1. | V. A. Babeshko, J. Ritzer, O. V. Evdokimova, and O. M. Babeshko,
"Energy Localization in Natural Processes and Natural Viruses,"
Dokl. Ross. Akad. Nauk
448 (4), 406-409 (2013)
[Dokl. Phys. (Engl. Transl.)
58 (2), 51-55 (2013)]. |
| 2. | V. A. Babeshko, O. V. Evdokimova, and O. M. Babeshko,
"Virus Theory of Certain Anomalous Natural Phenomena,"
Dokl. Ross. Akad. Nauk
447 (6), 33-37 (2012)
[Dokl. Phys. (Engl. Transl.)
57 (11), 442-446 (2012)]. |
| 3. | 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)]. |
| 4. | V. A. Babeshko, O. V. Evdokimova, and O. M. Babeshko, "On a Model
of Several Natural Phenomena,"
Ekolog. Vestnik Nauchn. Tsentrov Chernomorsk. Ekon. Sotrudn.,
No. 3, 15-23 (2014). |
| 5. | V. A. Babeshko, O. V. Evdokimova, and O. M. Babeshko,
"Peculiarities of Hidden Defects in Various Thin-Shell Coatings,"
Dokl. Ross. Akad. Nauk
460 (4), 403-407 (2015)
[Dokl. Phys. (Engl. Transl.)
60 (2), 67-72 (2015)]. |
| 6. | 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 (4), 657-660 (2013) [Dokl.
Phys. (Engl. Transl.) 58 (4), 152-155 (2013)]. |
| 7. | V. A. Babeshko, O. V. Evdokimova, and O. M. Babeshko,
"Various Coatings with Defects in Static Problems of Seismology and Nanomaterials,"
Dokl. Ross. Akad. Nauk
459 (6), 41-45 (2014)
[Dokl. Phys. (Engl. Transl.)
59 (11), 519-523 (2014)]. |
| 8. | V. A. Babeshko, J. A. Ritzer, O. V. Evdokimova, et al.,
"A Topological Approach to the Theory of Prognosis 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)]. |
| 9. | V. A. Babeshko, O. V. Evdokimova, O. M. Babeshko, et al.,
"Cracked Coating Problem in Nanomaterials and Seismology,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 5, 39-45 (2013)
[Mech. Solids (Engl. Transl.)
48 (5), 514-519 (2013)]. |
| 10. | V. A. Babeshko, O. V. Evdokimova, and O. M. Babeshko,
"Different Types of Cracked Covers in Seismology and Nanomaterial Science,"
Dokl. Ross. Akad. Nauk
452 (3), 275-278 (2013)
[Dokl. Phys. (Engl. Transl.)
58 (9), 396-399 (2013)]. |
| 11. | V. A. Babeshko, O. M. Babeshko, and O. V. Evdokimova,
"Addressing the Problem of Investigating Coated Materials,"
Dokl. Ross. Akad. Nauk
410 (1), 49-52 (2006)
[Dokl. Phys. (Engl. Transl.)
51 (9), 509-512 (2006)]. |
| 12. | V. A. Babeshko, O. M. Babeshko, and O. V. Evdokimova,
"On the Problem of Estimating the State of Coated Materials,"
Dokl. Ross. Akad. Nauk
409 (4), 481-485 (2006)
[Dokl. Phys. (Engl. Transl.)
51 (8), 423-428 (2006)]. |
| 13. | I. I. Vorovich, V. M. Alexandrov, and V. A. Babeshko,
Nonclassical Mixed Problems in Elasticity
(Nauka, Moscow, 1974)
[in Russian]. |
| 14. | V. A. Babeshko and O. M. Babeshko,
"Factorization Formulas for Some Meromorphic Matrix-Functions,"
Dokl. Ross. Akad. Nauk
399 (1), 163-167 (2004). |
| 15. | V. A. Babeshko, O. V. Evdokimova, and O. M. Babeshko, "The Hilbert-Wiener Factorization Problem and the Block Element Method," Dokl. Ross. Akad. Nauk 459 (5), 557-561 (2014) [Dokl. Phys. (Engl. Transl.) 59 (12), 591-595 (2014)]. |
| 16. | I. I. Vorovich and V. A. Babeshko, Dynamic Mixed Problems of Elasticity for Nonclassical Domains (Nauka, Moscow, 1979) [in Russian]. |
|
| Received |
09 March 2015 |
| Link to Fulltext |
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