 | | 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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| G.N. Belostochnyi and O.I. Ul'yanova, "Continuum Model for a Composition of Shells of Revolution with Thermosensitive Thickness," Mech. Solids. 46 (2), 184-191 (2011) |
| Year |
2011 |
Volume |
46 |
Number |
2 |
Pages |
184-191 |
| DOI |
10.3103/S0025654411020051 |
| Title |
Continuum Model for a Composition of Shells of Revolution with Thermosensitive Thickness |
| Author(s) |
G.N. Belostochnyi (Saratov State Technical University, Politekhnicheskaya 77, Saratov, 410054 Russia, belostochny@mail.ru)
O.I. Ul'yanova (Saratov State Technical University, Politekhnicheskaya 77, Saratov, 410054 Russia) |
| Abstract |
An integral variational principle is used to derive
the equations of uncoupled thermoelasticity for a composition of thin-walled shells of revolution - a cone, a torus or sphere, and a cylinder smoothly connected
along the junction lines. The study is based on a Reissner-type model under the assumption that the thickness is sensitive to heating. The generalized position vector of any point on the middle surface is constructed, which permits standardly determining the principal curvatures and components of the basis metric tensor of the middle surface. Equations for temperature functions are derived under the assumption that the temperature field is linear across the thickness of the composition and there are no internal heat sources. The equations of static thermostability and axially symmetric thermoelasticity are written. |
| Keywords |
thermoelasticity, shells of revolution, thermosensitivity, shear, singularity, axial symmetry |
| References |
| 1. | G. N. Belostochnyi and I. V. Shkabrov,
"Basic Equations of Uncoupled Thermoelasticity of Shells of Thermosensitive Thickness,"
in Proc. of IVth Intern. Symposium
"Dynamical and Technological Problems of Structural and Continuum Mechanics
(Izd-vo MAI, Moscow, 1998),
pp. 65-69
[in Russian]. |
| 2. | I. O. Galfayan,
"Solution of a Mixed Problem of Elasticity for a Rectangle,"
Izv. Akad. Armyan. SSR. Ser. Mat.
17 (1), 39-61 (1964)
[Sov. J. Contemp. Math. Anal., Arm. Acad. Sci. (Engl. Transl.)]. |
| 3. | S. A. Ambartsumyan,
Theory of Anisotropic Plates
(Nauka, Moscow, 1967)
[in Russian]. |
| 4. | A. D. Kovalenko,
Foundations of Thermoelasticity
(Naukova Dumka, Kiev, 1970)
[in Russian]. |
|
| Received |
06 December 2010 |
| Link to Fulltext |
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