Skip to main content
Log in

Use of an approximate fundamental solution for a half plane with an edge crack in a combined method of weight functions

  • Published:
Materials Science Aims and scope

Abstract

A new version of the engineering method of weight functions that combines the advantages of the existing versions is suggested. It is based on finding the dependence of the opening of the crack lips on the concentrated force applied at an arbitrary point of the crack lips and makes essential use of an approximate fundamental solution for a half plane with an edge crack in a combined method of weight functions. The high accuracy and simplicity of the method are illustrated by several examples.

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. M. J. Petroski and J. D. Achenbach, “Computation of the weight function from stress intensity factors,”Eng. Fract. Mech. 10, No. 2, 257–266 (1978).

    Google Scholar 

  2. J. R. Rice, “Some remarks on elastic crack tip fields,”Int. J. Solids Struct. 8, No. 6, 751–758 (1972).

    Google Scholar 

  3. D. Fett, “Condition for the determination of approximate COD fields,”Eng. Fract. Mech. 39, No. 5, 905–914 (1991).

    Google Scholar 

  4. A. Ya. Krasovskii, V. M. Torop, and I. V. Orynyak,Two-Criterional Diagram for Estimating the Limiting State of a Cracked Body [in Russian], Preprint, Institute of Strength Problems, Ukrainian Academy of Sciences, Kiev (1989).

    Google Scholar 

  5. I. V. Orynyak, “Construction of weight functions for plane bodies,”Probl. Prochn., No. 8, 10–14 (1990).

    Google Scholar 

  6. R. P. Ojdrovic and H. J. Petroski, “Weight functions from multiple reference states and crack profile derivatives,”Eng. Fract. Mech. 39, No. 1, 105–111 (1991).

    Google Scholar 

  7. M. P. Savruk, “Stresses near a crack in an elastic half plane,”Fiz.-Khim. Mekh. Mater. 11, No. 5, 59–64 (1975).

    Google Scholar 

  8. V. V. Panasyuk, M. P. Savruk, and A. P. Datsyshyn,Distribution of Stresses near Cracks in Plates and Shells [in Russian], Naukova Dumka, Kiev (1976).

    Google Scholar 

  9. N. I. Muskhelishvilli,Some Fundamental Problems of the Mathematical Theory of Elasticity [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  10. I. V. Orynyak, “Combined weight function methods for a plane body with a crack of type I,”Eng. Fract. Mech. (in press).

  11. V. G. Orekhov, M. L. Kagan, K. N. Belichenko, and N. A. Aniskin,Stress Intensity Factors for a Strip with a Single Crack [in Russian], Deposited at VNIIIS Gosstroya, No. 3845, Moscow Institute of Civil Engineers, Moscow (1982).

    Google Scholar 

  12. H. Tada, P. C. Paris, and G. R. Irwin,The Stress Analysis of Cracks: Handbook, Del. Research Corporation, Hellertown (1973).

    Google Scholar 

Download references

Authors

Additional information

Institute of Strength Problems, Ukrainian Academy of Sciences, Kiev. Translated from Fiziko-Khimicheskaya Mekhanika Materialov, Vol. 30, No. 1, pp. 105–108, January–February, 1994.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Orynyak, I.V., Borodii, M.V. Use of an approximate fundamental solution for a half plane with an edge crack in a combined method of weight functions. Mater Sci 30, 105–109 (1995). https://doi.org/10.1007/BF00559024

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00559024

Keywords

Navigation