Skip to main content
SpringerLink
Log in

Two-Dimensional Electroelastic Problem for a Multiply Connected Piezoelectric Body

  • Published:
International Applied Mechanics Aims and scope

Abstract

In this paper, we present the basic relationships for the complex potentials of a two-dimensional electroelastic problem, their general representations for a multiply connected domain, expressions for stress, displacement, electrostatic field intensity and induction, and potential. A closed solution is found for a body with one elliptic cavity or one elliptic crack under the action at infinity of a constant electroelastic field or concentrated forces and charges

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  1. V. T. Grinchenko, A. F. Ulitko, and N. A. Shul'ga, Electroelasticity, Vol. 5 of the five-volume series A. N. Guz (ed.), Mechanics of Coupled Fields in Structural Elements [in Russian], Naukova Dumka, Kiev (1989).

    Google Scholar 

  2. S. A. Kaloerov, A. I. Baeva, and Yu. A. Glushchenko, ”Two-dimensional electroelastic problem for a multiply connected piezoelectric body with cavities and plane cracks,” Teor. Prikl. Mekh., 32, 66–79 (2001).

    Google Scholar 

  3. A. S. Kosmodamianskii and V. N. Lozhkin, ”The generalized plane stress state of thin piezoelectric plates,” Prikl. Mekh., 11, No. 5, 45–53 (1975).

    Google Scholar 

  4. S. G. Lekhnitskii, Theory of Anisotropic Body [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  5. V. N. Lozhkin and L. N. Oleinik, ”Elastic equilibrium of an arbitrarily anisotropic, piezoelectric, cylindrical body,” Mat. Fiz., No. 24, 98–104 (1978).

    Google Scholar 

  6. N. I. Muskhelishvili, Some Basic Problems in the Mathematical Theory of Elasticity [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  7. L. A. Fil'shtinskii and T. S. Matvienko, ”Coupled electroelastic fields near the vertex of a compound piezoceramic wedge,” Int. Appl. Mech., 37, No. 1, 93–98 (2001).

    Google Scholar 

  8. V. G. Karnaukhov and V. V. Mikhailenko, ”Nonlinear single-frequency vibrations and dissipative heating of inelastic piezoelectric bodies,” Int. Appl. Mech., 38, No. 5, 521–547 (2002).

    Google Scholar 

  9. Yu. N. Podil'chuk and T. M. Proschenko, ”Stress concentration in a transversally isotropic piezoceramic cylinder near a hyperboloidal neck,” Int. Appl. Mech., 37, No. 8, 1034–1045 (2001).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Donetsk National University, Donetsk, Ukraine

    S. A. Kaloerov, A. I. Baeva & Yu. A. Glushchenko

Authors
  1. S. A. Kaloerov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. I. Baeva
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yu. A. Glushchenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kaloerov, S.A., Baeva, A.I. & Glushchenko, Y.A. Two-Dimensional Electroelastic Problem for a Multiply Connected Piezoelectric Body. International Applied Mechanics 39, 77–84 (2003). https://doi.org/10.1023/A:1023620217690

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1023620217690

Search

Navigation