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Asymptotic Solutions of Boundary Value Problems of Electroelasticity for Transversely Isotropic Toroidal Shells Made of Piezoceramic Materials

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Mechanics of Composite Materials Aims and scope

By asymptotic integration of the equations and relations of a three-dimensional problem of electroelasticity theory for transversely isotropic ceramics, boundary-value problems for a thin toroidal shell are solved in the cases where the conditions of the first, second, or mixed dynamic boundary-value problems of elasticity theory are given on its surface. Recurrent formulas for calculating components of the displacement vector and stress tensor and the electric field potential in thickness-polarized ceramics are deduced. The resonance frequencies are also found.

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Authors and Affiliations

  1. Institute of Mechanics, National Academy of Sciences of Armenia, Yerevan, Armenia

    L. A. Aghalovyan & R. S. Gevorkyan

Authors
  1. L. A. Aghalovyan
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  2. R. S. Gevorkyan
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Correspondence to L. A. Aghalovyan.

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Translated from Mekhanika Kompozitnykh Materialov, Vol. 52, No. 3, pp. 407-422 , May-June, 2016.

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Aghalovyan, L.A., Gevorkyan, R.S. Asymptotic Solutions of Boundary Value Problems of Electroelasticity for Transversely Isotropic Toroidal Shells Made of Piezoceramic Materials. Mech Compos Mater 52, 283–294 (2016). https://doi.org/10.1007/s11029-016-9581-4

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  • DOI: https://doi.org/10.1007/s11029-016-9581-4

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