Skip to main content
Log in

Interaction of a cylindrical cavity with a periodically supported thin shell liner

Wechselwirkung eines zylindrischen Hohlraumes mit einer in periodischen Abständen gestützten, dünnen Schalenauskleidung

  • Contributed Papers
  • Published:
Acta Mechanica Aims and scope Submit manuscript

Summary

The coupled axisymmetric problem of a periodically supported circular cylindrical shell bonded to a cylindrical cavity in an infinite isotropic, homogeneous elastic body is investigated. Explicit expressions for the resulting Fourier coefficients are obtained and convergence of the solution is established. Numerical results for two different shell materials in contact with a typical geologic formation are presented.

Zusammenfassung

Das gekoppelte, achsensymmetrische Problem einer periodisch gestützten, kreiszylindrischen Schale, die mit einem zylindrischen Hohlraum eines unendlichen, isotropen, homogenen, elastischen Raumes verbunden ist, wird behandelt. Explizite Ausdrücke für die resultierenden Fourierkoeffizienten werden erhalten und die Konvergenz der Lösung nachgewiesen. Es werden numerische Ergebnisse für zwei verschiedene Schalenmaterialien in Verbindung mit typischen geologischen Formationen präsentiert.

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

Access this article

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. Warren, W. E.: Low frequency power radiation from a flat plate into an acoustic fluid. J. Acoust. Soc. Am.56, 1764–1769 (1974).

    Google Scholar 

  2. Daneshy, A. A.: A study of inclined hydraulic fractures. J. Soc. Pet. Eng.13, 61–68 (1973).

    Google Scholar 

  3. Love, A. E. H.: A treatise on the mathematical theory of elasticity, 4th ed., pp. 274–276. New York: Dover 1944.

    Google Scholar 

  4. Timoshenko, S., Woinowsky-Krieger, S.: Theory of plates and shells, 2nd ed., Ch. 15. New York: McGraw-Hill 1959.

    Google Scholar 

  5. Wheelon, A. D.: Tables of summable series and integrals involving bessel functions (Advanced Physics Monographs) p. 27. San Francisco: Holden-Day 1968.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

With 3 Figures

This article sponsored by the U.S.Department of Energy under Contract DE-AC04-76-DP00789.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Warren, W.E. Interaction of a cylindrical cavity with a periodically supported thin shell liner. Acta Mechanica 38, 199–208 (1981). https://doi.org/10.1007/BF01176464

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01176464

Keywords

Navigation