Skip to main content
SpringerLink
Log in

Interaction of elastic waves with a penny-shaped crack in an infinitely long cylinder

  • Published:
Journal of Elasticity Aims and scope Submit manuscript

Abstract

This paper contains an analysis of the interaction of longitudinal waves with a penny-shaped crack located in an infinitely long elastic cyclinder. The problem is reduced to a Fredholm integral equation of the second kind which is solved numerically for a range of values of the frequency of the incident waves and the radius of the cylinder. Numerical values of the dynamic stress intensity factor at the rim of the crack have been calculated.

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. Sneddon I. N. and M. Lowengrub, Crack Problem in the Classical Theory of Elasticity. John Wiley, New York 1969.

    Google Scholar 

  2. Robertson I. A., Diffraction of a plane longitudinal wave by a penny-shaped crack. Proc. camb. Phil. Soc. 63 (1967) 229.

    Google Scholar 

  3. Mal A. K., Dynamic stress intensity factor for an axisymmetric loading of a penny-shaped crack. Int. J. Engng. Sci. 6 (1968) 623.

    Google Scholar 

  4. Mal A. K., Dynamic stress intensity factor for non-axisymmetric loading of the penny-shaped crack. Int. J. Engng. Sci. 6 (1968) 725.

    Google Scholar 

  5. Mal A. K., Interaction of elastic waves with a Griffith crack. Int. J. Engng. Sci. 8 (1970) 763.

    Google Scholar 

  6. Mal A. K., Interaction of elastic waves with penny-shaped crack. Int. J. Engng. Sci. 8 (1970) 381.

    Google Scholar 

  7. Mal A. K., Diffraction of elastic waves by a penny-shaped crack. Quart. App. Math. 26 (1968) 231.

    Google Scholar 

  8. Sih G. C. and Leober J. F., A class of wave diffraction problems involving geometrically induced singularities., J. Math. Mech. 19 (1969/70) 327.

    Google Scholar 

  9. Sneddon I. N. and Welch J. T., A note on the distribution of stress in a cylinder containing a penny-shaped crack. Int. J. Engng. Sci. 1 (1963) 411.

    Google Scholar 

  10. Erdelyi, A. et al., Tables of Integral Transforms, Vol. 2. McGraw Hill 1954.

  11. Fox L. and Goodwin E. T., The numerical solution of non-singular integral equations. Philos, Trans. Ser. A. 24 (1953) 501.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. M.A. College of Technology, 462007, Bhopal, India

    K. N. Srivastava, R. M. Palaiya & O. P. Gupta

Authors
  1. K. N. Srivastava
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. R. M. Palaiya
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. O. P. Gupta
    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

Srivastava, K.N., Palaiya, R.M. & Gupta, O.P. Interaction of elastic waves with a penny-shaped crack in an infinitely long cylinder. J Elasticity 12, 143–152 (1982). https://doi.org/10.1007/BF00043709

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00043709

Keywords

Search

Navigation