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IssuesArchive of Issues2010-3pp.437-444

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V.A. Babeshko, O.M. Babeshko, and O.V. Evdokimova, "On the Method of Block Element," Mech. Solids. 45 (3), 437-444 (2010)
Year 2010 Volume 45 Number 3 Pages 437-444
DOI 10.3103/S0025654410030143
Title On the Method of Block Element
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 (Kuban State University, Stavropol'skaya 149, Krasnodar, 350040 Russia)
Abstract The problem of block elements used to solve boundary-value problems of continuum mechanics is discussed. An example of constructing a semibounded block element is presented. Pseudodifferential equations describing the block element parameters are derived. The relationship between formulas and methods for calculating wave fields in block elements and layered media is found.
References
1.  V. A. Babeshko, O. M. Babeshko, and O. V. Evdokimova, "On the Theory of a Block Element," Dokl. Ross. Akad. Nauk 427 (2), 183-187 (2009) [Dokl. Phys. (Engl. Transl.) 54 (7), 329-332 (2009)].
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, "The Pyramidal Block Element," Dokl. Ross. Akad. Nauk 428 (1), 30-34 (2009) [Dokl. Phys. (Engl. Transl.) 54 (9), 418-422 (2009)].
4.  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)].
5.  V. A. Babeshko, O. V. Evdokimova, O. M. Babeshko, et al., "The Differential Factorization Method for a Block Structure," Dokl. Ross. Akad. Nauk 424 (1), 36-39 (2009) [Dokl. Phys. (Engl. Transl.) 54 (1), 25-28 (2009)].
6.  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)].
7.  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.) 76 (1), 140-142 (2008)].
8.  I. I. Vorovich and V. A. Babeshko, Dynamical Mixed Problems of Elasticity for Nonclassical Domains (Nauka, Moscow, 1979) [in Russian].
Received 09 February 2010
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