Skip to main content
SpringerLink
Log in

Near-tip fields and intensity factors for interfacial cracks in dissimilar anisotropic piezoelectric media

  • Published:
International Journal of Fracture Aims and scope Submit manuscript

Abstract

A complete form of stress and electric displacement fields in the vicinity of the tip of an interfacial crack, between two dissimilar anisotropic piezoelectric media, is derived by using the complex function theory. New definitions of real-valued stress and electric displacement intensity factors for the interfacial crack are proposed. These definitions are extensions of those for cracks in homogeneous piezoelectric media. Closed form solutions of the stress and electric displacement intensity factors for a semi-infinite crack as well as for a finite crack at the interface between two dissimilar piezoelectric media are also obtained by using the mutual integral.

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.Z. Parton, Acta Astronautica 3 (1976) 671–683.

    Article  Google Scholar 

  2. H.A. Sosa and Y.E. Pak, International Journal of Solids and Structures 26 (1990) 1–15.

    Article  Google Scholar 

  3. Y.E. Pak, Journal of Applied Mechanics 57 (1990) 647–653.

    Article  Google Scholar 

  4. Y.E. Pak, International Journal of Fracture 54 (1992) 79–100.

    Article  Google Scholar 

  5. H. Sosa, International Journal of Solids and Structures 21 (1992) 2613–2622.

    Article  Google Scholar 

  6. Z. Suo, C.-M. Kuo, D.M. Barnett and J.R. Willis, Journal of the Mechanics and Physics of Solids 40 (1992) 739–765.

    Article  Google Scholar 

  7. D.M. Barnett and J. Lothe, Physica Status Solidi (B) 67 (1975) 105–111.

    Article  Google Scholar 

  8. K.-C. Wu, Journal of Applied Mechanics 57 (1990) 882–886.

    Article  Google Scholar 

  9. J. Qu and Q. Li, Journal of Elasticity 26 (1991) 169–195.

    Article  Google Scholar 

  10. J.R. Rice, Journal of Applied Mechanics 55 (1988) 98–103.

    Article  Google Scholar 

  11. H.G. Beom and S.N. Atluri, submitted (1994).

  12. W.T. Chow, H.G. Beom and S.N. Atluri, Computational Mechanics, accepted (1994).

  13. J.C. Rice, Journal of Applied Mechanics 35 (1968) 379–386.

    Article  Google Scholar 

  14. J.K. Knowles and E. Sternberg, Archive for Rational Mechanics and Analysis 44 (1972) 187–211.

    Article  Google Scholar 

  15. L.B. Freund, International Journal of Solids and Structures 14 (1978) 241–250.

    Article  Google Scholar 

  16. J.R. Rice, in Fundamentals of Deformation of Fracture, B.A. Bilby, K.J. Miller and J.R. Willis (eds.), Cambridge University Press, Cambridge (1985) 33–56.

    Google Scholar 

  17. F.H.K. Chen and R.T. Shield, Zeitshrift fuer Angewandte Mathematik und Physik 28 (1977) 1–22.

    Article  Google Scholar 

  18. K.-C. Wu, Journal of Applied Mechanics 56 (1989) 780–785.

    Article  Google Scholar 

  19. Y.J. Cho, H.G. Beom and Y.Y. Earmme, International Journal of Fracture 65 (1994) 63–73.

    Article  Google Scholar 

  20. Y.E. Pak and G. Herrmann, International Journal of Engineering Science 24 (1986) 1365–1374.

    Article  Google Scholar 

  21. Y.E. Pak and G. Herrmann, International Journal of Engineering Science 24 (1986) 1365–1388.

    Article  Google Scholar 

  22. R.M. McMeeking, International Journal of Engineering Science 28 (1990) 605–613.

    Article  Google Scholar 

  23. C. Dascalu and G.A. Maugin, International Journal of Engineering Science 32 (1994) 755–765.

    Article  Google Scholar 

  24. G.P. Cherepanov, Mechanics of Brittle Fracture, McGraw-Hill, New York (1979).

    Google Scholar 

  25. Z. Suo, Proceedings of the Royal Society (London), A 427 (1990) 331–358.

    Article  Google Scholar 

  26. C.-S. Yeh, Y.-C. Shu and K.-C. Wu, Proceedings of the Royal Society (London), A 443 (1993) 139–151.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Computational Mechanics Center, Georgia Institute of Technology, 30332-0356, GA, Atlanta, USA

    H. G. Beom & S. N. Atluri

Authors
  1. H. G. Beom
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. N. Atluri
    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

Beom, H.G., Atluri, S.N. Near-tip fields and intensity factors for interfacial cracks in dissimilar anisotropic piezoelectric media. Int J Fract 75, 163–183 (1996). https://doi.org/10.1007/BF00034075

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00034075

Keywords

Search

Navigation