Skip to main content
Log in

The axisymmetric crack problem in a non-homogeneous interfacial region between homogeneous half-spaces

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

Abstract

In this paper, the axisymmetric crack problem in a non-homogeneous interfacial region between two homogeneous half-spaces is considered. It is assumed that the shear modulus varies continuously between that of the two half-spaces; and the shear modulus for the interface region is approximated by μ = μ0 emz. By using Hankel transform technique the problem is reduced to a pair of singular integral equations. The solutions of the problem are obtained for different material combinations and loading conditions; and modes I and II stress intensity factors, and the direction of a probable crack growth are calculated.

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.

Similar content being viewed by others

References

  1. E. Erdoğan, A.C. Kaya and P.F. Joseph, The Crack Problem in Bonded Nonhomogenous Materials, ASME Journal of Applied Mechanics 58 (1991) 410–418.

    Google Scholar 

  2. M. Öztürk and F. Erdoğan, The Axisymmetric Crack Problem in a Nonhomogeneous Medium, ASME Journal of Applied Mechanics 60 (1993) 406–413.

    Google Scholar 

  3. H. Fildis, The Axisymmetric Crack Problem in a Non-Homogeneous Strip which is Bonded to Two Homogeneous Half Spaces, PhD. thesis, METU, Ankara-Türkiye (1995).

  4. F. Erdoğan, Mixed Boundary Value Problems in Mechanics, Mechanics Today, S. Nemat-Nasser (ed.) 4 (1978) 1–86.

  5. K. Arm and F. Erdoğan, Penny-Shaped Crack in an Elastic Layer bonded to Dissimilar Half Spaces, International Journal of Engineering Science 9 (1971) 213–232.

    Google Scholar 

  6. N.I. Mushkelishvili, Singular Integral Equations, 2nd Edition, P. Noordhoff, N.V., Groningen, Holland (1953).

    Google Scholar 

  7. F. Erdoğan and G.C. Sih, On the Crack Extension in Plates Under Plane Loading and Transverse Shear, Basic Engineering 3 (1963) 85.

    Google Scholar 

  8. F. Delale, and F. Erdoğan, On the Mechanical Modeling of the Interfacial Region in Bonded Materials, ASME Journal of Applied Mechanics 55 (1988) 317–324.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fildiscs, H., Yahşi, O.S. The axisymmetric crack problem in a non-homogeneous interfacial region between homogeneous half-spaces. Int J Fract 78, 139–164 (1996). https://doi.org/10.1007/BF00034523

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00034523

Keywords

Navigation