 | | 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
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| In English (Mech. Solids): | | 4760 |
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| N.K. Akhmedov and S.B. Akperova, "Asymptotic Analysis of a 3D Elasticity Problem for a Radially Inhomogeneous Transversally Isotropic Hollow Cylinder," Mech. Solids. 46 (4), 635-644 (2011) |
| Year |
2011 |
Volume |
46 |
Number |
4 |
Pages |
635-644 |
| DOI |
10.3103/S0025654411040133 |
| Title |
Asymptotic Analysis of a 3D Elasticity Problem for a Radially Inhomogeneous Transversally Isotropic Hollow Cylinder |
| Author(s) |
N.K. Akhmedov (Baku State University, Zahida Halilova 23, Baku, AZ 1000 Azerbaijan, anatiq@mail.ru)
S.B. Akperova (Baku State University, Zahida Halilova 23, Baku, AZ 1000 Azerbaijan, ibragimovasariya@yandex.ru) |
| Abstract |
The method of asymptotic integration of equations of elasticity [1] is used to study the behavior of the solution of a 3D elasticity problem for a radially inhomogeneous transversally isotropic hollow cylinder of small thickness. Under the assumption that the load is sufficiently smooth, the asymptotic method [1] is used to construct inhomogeneous solutions. An algorithm for constructing exact particular solutions of the equilibrium equations is given for loads of specific types in the case where the cylinder lateral surface is loaded by forces polynomially depending on the axial coordinate. Then the homogeneous solutions are constructed. The asymptotic expansions of homogeneous solutions are obtained, and the above analysis is used to explain the character of the stress-strain state. |
| Keywords |
homogeneous solution, inhomogeneous solution, boundary layer, boundary effect |
| References |
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|
| Received |
26 January 2009 |
| Link to Fulltext |
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