 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10482 |
| In Russian (ΟΜΜ): | | 9683
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| In English (J. Appl. Math. Mech.): | | 799 |
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| L.A. Aghalovyan, M.L. Aghalovyan, and R.S. Gevorgyan, "Asymptotic solution of the electroelasticity problem for thickness-polarized piezoceramic shells," J. Appl. Math. Mech. 79 (3), 293-303 (2015) |
| Year |
2015 |
Volume |
79 |
Issue |
3 |
Pages |
293-303 |
| DOI |
10.1016/j.jappmathmech.2015.09.009 |
| Title |
Asymptotic solution of the electroelasticity problem for thickness-polarized piezoceramic shells |
| Author(s) |
L.A. Aghalovyan (Institute of Mechanics of the National Academy of Sciences, Yerevan, Armenia, aghal@mechins.sci.am)
M.L. Aghalovyan (Institute of Mechanics of the National Academy of Sciences, Yerevan, Armenia, mheraghalovyan@rambler.ru)
R.S. Gevorgyan (Institute of Mechanics of the National Academy of Sciences, Yerevan, Armenia, gevorgyanzs@mail.ru) |
| Abstract |
Recurrence formulae for determining the components of the stress tensor, the displacement tensor and the electric potential of a piezoceramic shell are derived by asymptotic integration of the equations of the three-dimensional problem of the theory of electroelasticity in curvilinear coordinates. The shell is assumed in plan to be inhomogeneous (the physical-mechanical coefficients may depend on the tangential coordinates, but are constant across the thickness) and is thickness-polarized. The cases when conditions of the first, second or mixed boundary conditions of the theory of elasticity are specified on the outer and inner surfaces are considered. Dispersion equations of the vibration frequencies are derived for a comparatively general version, the values of the resonance frequencies are calculated, and their dependence on the thickness and the physical-mechanical parameters of the shell is established. |
| Received |
23 December 2014 |
| Link to Fulltext |
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