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Russian Academy of Sciences
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IssuesArchive of Issues2015-3pp.293-303

Archive of Issues

Total articles in the database: 1813
In Russian (): 1014
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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 http://www.sciencedirect.com/science/article/pii/S0021892815001112
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