Skip to main content
SpringerLink
Log in

The analogue of the Eshelby tensor for a piezoelectric spheroidal inclusion in the hexagonal electroelastic medium

  • Published:
Zeitschrift für angewandte Mathematik und Physik ZAMP Aims and scope Submit manuscript

Abstract.

The elastic Eshelby tensor that plays a key role in elastic inclusion problems [1] is extended to the electroelastic case. For electroelastic media this analogue of the Eshelby tensor is an operator that consists of four tensors of fourth, third and second ranks. The explicit expressions are derived for the components of these tensors for a spheroidal inclusion in hexagonal (transversely isotropic) media. The obtained results may be useful for a treatment of inclusion and inhomogeneity problems of the coupled electroelasticity.

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

Author information

Authors and Affiliations

  1. Institute for Theoretical Physics, Technical University of Dresden, Zellescher Weg 17, D-01062 Dresden, Germany, , , , , , GE

    R. Kuhn

  2. Max Planck Institute for Metals Research, Heisenbergstr. 3, D-70569 Stuttgart, Germany, , , , , , GE

    T. Michelitsch

  3. Division of Mechanics, Petrozavosk State University, Lenin Ave. 33, Petrozavodsk, 185640, Russia, , , , , , RU

    V. M. Levin

  4. St. Petersburg University, Mathematical and Mechanical Faculty, Stary Peterhof, Bibliotechnaya pl., St.Petersburg, 198904, Russia, , , , , , RU

    A. Vakulenko

Authors
  1. R. Kuhn
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. T. Michelitsch
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. V. M. Levin
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. A. Vakulenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: February 4, 1999

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kuhn, R., Michelitsch, T., Levin, V. et al. The analogue of the Eshelby tensor for a piezoelectric spheroidal inclusion in the hexagonal electroelastic medium. Z. angew. Math. Phys. 53, 584–602 (2002). https://doi.org/10.1007/s00033-002-8170-7

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00033-002-8170-7

Search

Navigation