Skip to main content
SpringerLink
Log in

Electroelastic State of a Multiply Connected Piezoelectric Half Plane with Holes and Cracks

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

Abstract

A method has been proposed [1] for solving two-dimensional electroelasticity problems using generalized complex potentials. General representations of complex potentials for a multiply coupled region have been studied [2] and a method for calculating the stress intensity factors and induction has been introduced. In this article, general expressions are obtained for the complex potentials for a multiply connected half plane with arbitrarily positioned holes and rectilinear cracks and the electroelastic state of a half plane with a single elliptical hole or rectilinear crack is studied.

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. A. S. Kosmodamianskii andV. N. Lozhkin, “Generalized two dimensional stressed state of thin piezoelectric plates, ” Prikl. Mekh., 1, No. 5, 45–53 (1975).

    Google Scholar 

  2. S. A. Kaloerov andA. I. Baeva, “Complex electroelasticity potentials for multiply connected plates with holes and cracks, ” Teor. Prikl. Mekh., 31, 75–87 (2000).

    Google Scholar 

  3. S. G. Lekhnitskii, Theory of Elasticity of Anisotropic Bodies [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  4. S. A. Kaloerov andE. V. Avdyushina, “Stress concentration in an anisotropic half space with cylindrical cavities and plane cracks, ” Teor. Prikl. Mekh., 31, 63–75 (2000).

    Google Scholar 

  5. S. A. Kaloerov andE. S. Goryanskaya, “Two-dimensional stressed deformed state of a multiply connected anisotropic body, ” in: A. N. Guz' et al. (eds.), Stress Concentration [in Russian], A. S. K., Kiev (1998), pp. 10–26. [Vol. 7 of Mechanics of Composites in 12 Vols.]

    Google Scholar 

  6. S. A. Kaloerov, “Approximate method for determining the stress intensity factors for two-dimensional multiply connected bodies with rectilinear cracks, ” Teor. Prikl. Mekh., 24, 27–33 (1993).

    Google Scholar 

  7. L. M. Belyaev,G. S. Belikova,A. B. Gil'varg, et al., “Growth of crystalline potassium biphthalate and its optical, piezoelectric, and elastic properties, ” Kristallografiya, 14, No. 4, 645–651 (1969).

    Google Scholar 

  8. G. S. Belikova,Yu. V. Pisarevskii, andV. M. Sil'vestrova, “Piezoelectric and elastic properties of rubidium biphthalate crystals, ” Kristallografiya, 19, No. 4, 878–879 (1974).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Donetsk State University, Ukraine

    S. A. Kaloerov & Yu. A. Glushchenko

Authors
  1. S. A. Kaloerov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. 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., Glushchenko, Y.A. Electroelastic State of a Multiply Connected Piezoelectric Half Plane with Holes and Cracks. Journal of Mathematical Sciences 107, 4416–4424 (2001). https://doi.org/10.1023/A:1012560618464

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1012560618464

Keywords

Search

Navigation