Mechanics of Solids (about journal) 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

Russian Russian English English About Journal | Issues | Guidelines | Editorial Board | Contact Us
 


IssuesArchive of Issues2011-2pp.184-191

Archive of Issues

Total articles in the database: 11223
In Russian (Èçâ. ÐÀÍ. ÌÒÒ): 8011
In English (Mech. Solids): 3212

<< Previous article | Volume 46, Issue 2 / 2011 | Next article >>
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
<< Previous article | Volume 46, Issue 2 / 2011 | Next article >>
Orphus SystemIf you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter

101 Vernadsky Avenue, Bldg 1, Room 246, 119526 Moscow, Russia (+7 495) 434-3538 mechsol@ipmnet.ru https://mtt.ipmnet.ru
Founders: Russian Academy of Sciences, Ishlinsky Institute for Problems in Mechanics RAS
© Mechanics of Solids
webmaster
Rambler's Top100