 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| M.D. Kovalenko and T.D. Shulyakovskaya, "Expansions in Fadle-Papkovich Functions in a Strip. Theory Foundations," Mech. Solids. 46 (5), 721-738 (2011) |
| Year |
2011 |
Volume |
46 |
Number |
5 |
Pages |
721-738 |
| DOI |
10.3103/S0025654411050074 |
| Title |
Expansions in Fadle-Papkovich Functions in a Strip. Theory Foundations |
| Author(s) |
M.D. Kovalenko (Schmidt Institute of Physics of the Earth, Russian Academy of Sciences, B. Gruzinskaya 10, Moscow, 123995 Russia, kov08@inbox.ru)
T.D. Shulyakovskaya (Schmidt Institute of Physics of the Earth, Russian Academy of Sciences, B. Gruzinskaya 10, Moscow, 123995 Russia, t.shuliakovskaya@gcras.ru) |
| Abstract |
We consider a boundary-value problem of elasticity for a half-strip with free longitudinal sides and some conditions at the end. We present a general scheme for solving the problem in the form of explicit expansions in Fadle-Papkovich functions and study the basis properties of systems of Fadle-Papkovich functions. The theory is based on the Borel transform in the class of quasi-entire functions of exponential type. |
| Keywords |
Fadle-Papkovich functions, basis properties, boundary-value problem |
| References |
| 1. | V. V. Meleshko,
"Selected Topics in the History of Two-Dimensional Biharmonic Problem,"
Appl. Mech. Rev.
56 (1), 33-85 (2003). |
| 2. | B. Ya. Levin,
The Distribution of Roots of Entire Functions
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[in Russian]. |
| 3. | N. I. Akhiezer,
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36 (8), 89-129 (1935). |
| 5. | M. D. Kovalenko,
"About the Borel Transform in the Class W of Quasi-Integral Functions,"
Fundam. Prikl. Mat.
7 (3), 761-774 (2001). |
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[in Russian]. |
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44 (5), 1066-1114 (1980)
[Math. USSR Izv. (Engl. Transl.)
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| 8. | Yu. F. Korobeinik,
"Representing Systems,"
Uspekhi Mat. Nauk
36 (1), 73-126 (1981)
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36 (1), 75-138 (1981)]. |
| 9. | P. F. Papkovich,
"On a Form of the Solution to the Plane Problem of Elasticity for a Rectangular Strip,"
Dokl. Akad. Nauk SSSR
27 (4), 335-339 (1940). |
| 10. | P. A. Schiff,
"Sur l'équilibre d'un cylindre d'élastique,"
J. Math. Pures et Appl. Ser. 3
9, 407-421 (1883) |
|
| Received |
19 May 2009 |
| Link to Fulltext |
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