 | | 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 46, Issue 2 / 2011 | Next article >> |
| V.A. Babeshko, O.M. Babeshko, and O.V. Evdokimova, "On the Block Element Method in Nonstationary Problems," Mech. Solids. 46 (2), 225-229 (2011) |
| Year |
2011 |
Volume |
46 |
Number |
2 |
Pages |
225-229 |
| DOI |
10.3103/S0025654411020105 |
| Title |
On the Block Element Method in Nonstationary Problems |
| Author(s) |
V.A. Babeshko (Kuban State University, Stavropol'skaya 149, Krasnodar, 350040 Russia, babeshko@kubsu.ru)
O.M. Babeshko (Kuban State University, Stavropol'skaya 149, Krasnodar, 350040 Russia)
O.V. Evdokimova (South Scientific Centre, Russian Academy of Sciences, Chekhova 41, Rostov-on-Don, 344006 Russia) |
| Abstract |
The block element method is used to study and solve the boundary-value problems of continuum mechanics for materials with time-varying characteristics. An example of constructing a block element is given for a boundary-value problem related to nonstationary behavior of a continuum in a four-dimensional space, with time taken into account. Pseudodifferential equations describing the block element parameters are derived. It is shown that, in the theory of block elements, the difference between the boundary and initial conditions in a nonstationary boundary-value problem
disappears. |
| Keywords |
spatial problem, prestressed elastic body, block element |
| References |
| 1. | A. G. Gorshkov and D. V. Tarlakovskii,
Dynamic Contact Problems with Moving Boundaries
(Nauka, Fizmatlit, Moscow, 1995)
[in Russian]. |
| 2. | V. A. Babeshko, O. M. Babeshko, and O. V. Evdokimova,
"On the Sadovskii' Problem of Block Structures,"
Dokl. Ross. Akad. Nauk
427 (4), 480-485 (2009)
[Dokl. Phys. (Engl. Transl.)
54 (8), 373-377 (2009)]. |
| 3. | 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)]. |
| 4. | V. A. Babeshko, O. M. Babeshko, and O. V. Evdokimova,
"The Pyramidal Block Element,"
Dokl. Ross. Akad. Nauk
428 (1), 30-34 (2009)
[Dokl. Phys. (Engl. Transl.)
54 (9), 418-422 (2009)]. |
| 5. | V. A. Babeshko, O. M. Babeshko, and O. V. Evdokimova,
"The Arbitrary Triangular Pyramidal Block Element,"
Dokl. Ross. Akad. Nauk
429 (6), 758-761 (2009)
[Dokl. Phys. (Engl. Transl.)
54 (12), 557-560 (2009)]. |
| 6. | W. Nowacki,
Dynamic Problems of Thermoelasticity
(PWN, Warszawa, 1966; Mir, Moscow, 1970). |
| 7. | N. E. Kochin,
Vector Calculus and Foundations of Tensor Calculus
(Nauka, Moscow, 1965)
[in Russian]. |
| 8. | 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)]. |
| 9. | 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 (2007)
[Dokl. Math. (Engl. Transl.)
76 (1), 140-142 (2008)]. |
| 10. | V. A. Babeshko, O. V. Evdokimova, and O. M. Babeshko,
"The Integral Factorization Method in Mixed Problems for Anisotropic Media,"
Dokl. Ross. Akad. Nauk
426 (4), 471-475 (2009)
[Dokl. Math. (Engl. Transl.)
54 (6), 285-289 (2009)]. |
| 11. | I. I. Vorovich and V. A. Babeshko,
Dynamical Mixed Problems of Elasticity for Nonclassical Domains
(Nauka, Moscow, 1979)
[in Russian]. |
|
| Received |
13 December 2010 |
| Link to Fulltext |
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