Skip to main content
SpringerLink
Log in

The equilibrium of a piezoceramic cylindrical body with a parabolic crack

  • Published:
International Applied Mechanics Aims and scope

Abstract

A conjugate electroelastic field in a piezoceramic cylinder with a parabolic crack under static loading is investigated. Uniformly tensile stresses and an electric potential are applied to the end faces of the cylinder. The following two types of electric conditions are considered at the crack boundary: the electric potential is continuous across the crack and the normal component of the electric-displacement vector on the crack surface is equal to zero. For each of these cases, expressions for some quantities characterizing the disturbed field in the crack plane and formulas to calculate the stress intensity factors are presented.

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 seriesThe Mechanics of Coupled Fields in Structural Elements [in Russian], Naukova Dumka, Kiev (1989).

    Google Scholar 

  2. P. M. Morse and H. Feshbach,Methods of Theoretical Physics [Russian translation] (in two volumes), vol. 1, Izd. Inostr. Lit., Moscow (1978).

    Google Scholar 

  3. V. V. Panasyuk, E. A. Andreikiv, and V. Z. Parton,Fundamentals of the Fracture Mechanics of Materials, Vol. 1 of the four-volume seriesThe Fracture Mechanics and Strength of Materials: Handbook [in Russian], Naukova Dumka, Kiev (1988).

    Google Scholar 

  4. Yu. N. Podil'chuk, “The stress state of a transversally isotropic medium with a parabolic crack,”Prikl. Mekh.,30, No. 7, 3–8 (1994).

    Google Scholar 

  5. M. P. Savruk,The Stress Intensity Factors for Cracked Bodies, Vol. 2 of the four-volume seriesThe Fracture Mechanics and Strength of Materials: Handbook [in Russian], Naukova Dumka, Kiev (1988).

    Google Scholar 

  6. M. K. Kassir, “The distribution of stress around a flat parabolic crack in an elastic solid,”Eng. Fract. Mech.,2, No. 4, 373–385 (1971).

    Article  Google Scholar 

  7. A. H. Passos Morgado, Yu. N. Podil'chuk, and I. V. Lebedeva, “Investigation of the stress state of a piezoceramic body containing an external elliptical crack,”Prikl. Mekh.,35, No. 1, 37–44 (1999). (Int. Appl. Mech.,35, No. 1, 33–40 (1999)).

    MATH  Google Scholar 

  8. Yu. N. Podil'chuk, “Representation of the general solution of statics equations of electroelasticity of a transversally isotropic piezoceramic body in terms of harmonic functions,”Prikl. Mekh.,34, No. 7, 20–26 (1998). (Int. Appl. Mech.,34, No. 7, 623–628 (1998)).

    MATH  Google Scholar 

  9. Yu. N. Podil'chuk and I. V. Lebedeva, “Equilibrium of a ceramic piezoelectric cylinder with an elliptical crack,”Prikl. Mekh.,34, No. 8, 40–47 (1998). (Int. Appl. Mech.,34, No. 8, 736–745 (1998)).

    MATH  Google Scholar 

Download references

Authors
  1. Yu. N. Podil’chuk
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. F. Tkachenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Translated from Prikladnaya Mekhanika, Vol. 36, No. 3, pp. 72–80, March, 2000.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Podil’chuk, Y.N., Tkachenko, V.F. The equilibrium of a piezoceramic cylindrical body with a parabolic crack. Int Appl Mech 36, 348–357 (2000). https://doi.org/10.1007/BF02681917

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02681917

Keywords

Search

Navigation