 | | 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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| M.D. Kovalenko, I.V. Men'shova, and T.D. Shulyakovskaya, "Expansions in Fadle-Papkovich Functions: Examples of Solutions in a Half-Strip," Mech. Solids. 48 (5), 584-602 (2013) |
| Year |
2013 |
Volume |
48 |
Number |
5 |
Pages |
584-602 |
| DOI |
10.3103/S0025654413050154 |
| Title |
Expansions in Fadle-Papkovich Functions: Examples of Solutions in a Half-Strip |
| Author(s) |
M.D. Kovalenko (Chernomyrdin Moscow State Open University, Pionerskaya 8, Voskresensk, Moscow Region, 140200 Russia, kov08@inbox.ru)
I.V. Men'shova (Chernomyrdin Moscow State Open University, Pionerskaya 8, Voskresensk, Moscow Region, 140200 Russia, menshovairina@yandex.ru)
T.D. Shulyakovskaya (Schmidt Institute of Physics of the Earth, Russian Academy of Sciences, B. Gruzinskaya 10, Moscow, 123995 Russia, 5095739@mail.ru) |
| Abstract |
Several examples of solutions of boundary value problems of elasticity in a half-strip are given in the form of expansions in the Fadle-Papkovich functions. |
| Keywords |
boundary value problem, Fadle-Papkovich functions, analytic solutions |
| References |
| 1. | M. D. Kovalenko and T. D. Shulyakovskaya,
"Expansions in Fadle-Papkovich Functions in a Strip. Theory Foundations,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 5, 78-98 (2011)
[Mech. Solids (Engl. Transl.)
46 (5), 721-738 (2011)]. |
| 2. | B. Ya. Levin,
The Distribution of Roots of Entire Functions
(Gostekhizdat, Moscow, 1956)
[in Russian]. |
| 3. | N. I. Akhiezer,
Lectures on the Theory of Approximation
(Nauka, Moscow, 1965)
[in Russian]. |
| 4. | A. Pflüger,
"Über eine Interpretation gewisser Konvergenz- und Fortzetzungseigenschaften
Dirichlet'scher Reihen,"
Comment. Math. Helvet.
36 (8), 89-129 (1935/36). |
| 5. | M. M. Dzhrbashyan,
Integral Transformations and Function Representations in Complex Domains
(Nauka, Moscow, 1966)
[in Russian]. |
| 6. | N. I. Muskhelishvili,
Several Fundamental Problems of Mathematical Theory of Elasticity
(Izdat. AN SSSR, Moscow-Leningrad, 1949)
[in Russian]. |
| 7. | M. D. Kovalenko and S. V. Shibirin,
"A Junction of Two Semistrips,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 1, 56-63 (1997)
[Mech. Solids (Engl. Transl.)
32 (1), 45-51 (1997)]. |
| 8. | G. G. Sebryakov, M. D. Kovalenko, N. N. Tsybin, and T. D. Shulyakovskaya,
"Expansions in Terms of the Fadle-Papkovich Functions in the Problem for a Strip with a Cut,"
Dokl. Ross. Akad. Nauk
439 (6), 763-766 (2008)
[Dokl. Phys. (Engl. Transl.)
53 (4), 237-240 (2008)]. |
| 9. | D. I. Sherman,
"On a Problem of Elasticity,"
Dokl. Akad. Nauk SSSR
27 (9), 907-913 (1940)
[Soviet Math. Dokl. (Engl. Transl.)]. |
| 10. | E. I. Shemyakin,
"Boundary Value Problems in the Elasticity Theory: Domains with Corner Points (the Planar Case),"
Dokl. Ross. Akad. Nauk
347 (3), 342-345 (1996)
[Dokl. Phys. (Engl. Transl.)
41 (3), 135-138 (1996)]. |
|
| Received |
05 April 2012 |
| Link to Fulltext |
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