Skip to main content
Log in

Crack problem for a functionally graded layer on an elastic foundation

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

Abstract

In this paper internal and edge crack problems for an FGM layer attached to an elastic foundation are considered. This model can be used to simulate circumferential crack problem for a thin walled cylinder. It is assumed that the mechanical properties of the layer are varying in thickness direction. Crack is assumed to be perpendicular to the surfaces. For this geometry stress intensity factors are calculated for a number of different crack surface tractions. By using the calculated stress intensity factors and the principle of superposition it is possible to obtain solutions for physically meaningful cases such as fixed grip constant strain loading, membrane loading and bending.

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

  • Dağ, S. (1997). Crack problems in a functionally graded layer under thermal stresses. MS Thesis, Middle East Technical University, Ankara.

    Google Scholar 

  • Erdogan, F. and Gupta, G.D. (1972). On the numerical solution of singular integral equations. Quarterly of AppliedMathematics 30, 525–534.

    Google Scholar 

  • Erdogan, F. and Rizk, A.A. (1992). Fracture of coated plates and shells under thermal shock. International Journalof Fracture 53, 159–185.

    Google Scholar 

  • Erdogan, F. and Wu, B.H. (1993). Analysis of FGM specimens for fracture toughness testing. Ceramic Transactions, (Edited by J.B. Holt, M. Koizumi, T. Hirai, Z.A. Munir), 34, 39–46, The American Ceramic Society.

    Google Scholar 

  • Isida, M. (1966). Stress intensity factors for the tension of an eccentrically cracked strip. Journal of AppliedMechanics 33, 674–675.

    Google Scholar 

  • Jin, Z.H. and Batra, R.C. (1996). Stress intensity relaxation at the tip of an edge crack in a functionally graded material subjected to a thermal shock. Journal of Thermal Stresses 19, 317–339.

    Google Scholar 

  • Kaya, A.C. and Erdogan, F. (1980). Stress intensity factors and COD in an orthotropic strip. International Journalof Fracture 16, 171–190.

    Article  Google Scholar 

  • Krenk, S. (1975). On the elastic strip with an internal crack. International Journal of Solids Structures 11, 693–708.

    Article  MATH  Google Scholar 

  • Noda, N. and Jin, Z.H. (1993). Thermal stress intensity factors for a crack in a strip of a functionally gradient material. International Journal of Solids and Structures 30, 1039–1056.

    Article  MATH  Google Scholar 

  • Ugural, A.C. and Fenster, S.K. (1987). Advanced Strength and Applied Elasticity, Elsevier Science Publishing Co., New York.

    Google Scholar 

  • Wu, B.H. and Erdogan, F. (1996). Crack problems in FGM layers under thermal stresses. Journal of ThermalStresses 19, 237–265.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kadioğlu, S., Dag, S. & Yahsi, S. Crack problem for a functionally graded layer on an elastic foundation. International Journal of Fracture 94, 63–77 (1998). https://doi.org/10.1023/A:1007501401224

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1007501401224

Navigation