Skip to main content

On Cracking Instability in Plates Containing Circular Holes

  • Conference paper
Defects, Fracture and Fatigue
  • 230 Accesses

Abstract

For functional reasons, most engineering structures contain geometrical discontinuities such as notches, fastener/rivet holes, etc. This paper describes an investigation into the effect of multiple circular holes on the stability condition of cracked plates.

The cracked plates chosen for the investigation contained two circular holes placed immediately above and below a crack. The plate height (H) and width (W) ratio used was 0.730. At this ratio an isolated crack without the presence of holes had been found to be unstable. For the cracked geometry with the holes, the stability conditions were found to be governed not by the geometrical plate ratio (i.e., H/W) as in the case of an isolated crack, but by the ratio of the crack length and hole radius (a/R). The prediction that stable crack growth can be attained for the a/R ratio, about 1.3, agreed fully with the experimental observations.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Irwin, G. R., “Fracture Mechanics”, First Symposium on Symposium on Nacal Structural Mechanics, Pergamon Press, New York, 1958.

    Google Scholar 

  2. Krafft, J. M., Sullivan, K. M. and Boyle, R. W., “Effect of Dimensions on Fast Fracture Instability of Notched Sheets”, Proceedings of Crack Propagation Symposium, Cranfield, 1, p. 8, 1961.

    Google Scholar 

  3. Srawley, J. E. and Brown, W. F., “Fracture Toughness Testing and Its Applications”, American Society for Testing and Materials, 381, p. 133, 1965.

    Google Scholar 

  4. Gurney, C. and Hunt, J., “Quasistatic Crack Propagation”, Proceedings Royal Society, A299, p. 508, 1967.

    Article  ADS  Google Scholar 

  5. Clausing, D. P., “Crack Instability in Linear Elastic Fracture Mechanics”, International Journal of Fracture Mechanics, 5, p. 211, 1969.

    Article  Google Scholar 

  6. Glucklich, J., “On Crack Stability in Some Fracture Tests”, Engineering Fracture Mechanics, 3, p. 333, 1971.

    Article  Google Scholar 

  7. Gurney, C. and Ngan, K. M., “Quasistatic Crack Propagation in Nonlinear Structures”, Proceedings Royal Society, A325, p. 207, 1971.

    Article  ADS  Google Scholar 

  8. Gurney, C. and Mai, Y. W., “Stability of Crackings”, Engineering Fracture Mechanics, Vol. 4, p. 853, 1973.

    Article  Google Scholar 

  9. Chow, C. L. and Lam, P. M., “Stability Conditions in Quasistatic Crack Propagation for Constant Strain Energy Release Rate”, Journal of Engineering Materials and Technology, 96, p. 41, 1974.

    Article  Google Scholar 

  10. Mai, Y. W., Atkins, A. G. and Caddell, R. M., “On the Stability of Cracking in Tapered DCB Testpieces”, International Journal of Fracture, 11, p. 939, 1975.

    Article  Google Scholar 

  11. Cotterell, B., “On Fracture Path Stability in the Compact Tension Test”, International Journal of Fracture Mechanics, 6, p. 189, 1970.

    Article  Google Scholar 

  12. Andersson, H., “A Finite Element Representation of Stable Crack Growth”, J. Mech. Phy. Solids, 21, p. 337, 1973.

    Article  ADS  Google Scholar 

  13. Broberg, K. B., “On Stable Crack Growth”, J. Mech. Phy. Solids, 23, p. 215, 1975.

    Article  ADS  Google Scholar 

  14. Nemat-Nasser, S., Sumi, Y. and Keer, L. M., “Unstable Growth of Tension Cracks in Brittle Solids: Stable and Unstable Bifurcations, Snap-Through, and Imperfection Sensitivity”, Int. J. Solids Structures, 16, p. 1017, 1980.

    Article  MATH  Google Scholar 

  15. Sih, G. C., “Mechanics of Fracture”, Vol. 1, Noordhoff, Leyden, Holland, 1973.

    MATH  Google Scholar 

  16. Sih, G. C., “Mechanics of Fracture”, Vol. 4, Noordhoff, Leyden, Holland, 1977.

    Google Scholar 

  17. Mai, Y. W. and Atkins, A. G., “Crack Stability in Fracture Toughness Testing”, Journal of Strain Analysis, 15, p. 63, 1980.

    Article  Google Scholar 

  18. Chow, C. L. and Lau, K. J., “Fracture Studies of Point-Loaded Center-Cracked Plates”, Journal of Strain Analysis, 12, p. 286, 1977.

    Article  Google Scholar 

  19. Ling, C. B., “The Collected Papers in Elasticity and Mathematics of Chih-Bing Ling”, Institute of Mathematics, Academia Sinica, Taiwan, 1963.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1983 Martinus Nijhoff Publishers, The Hague

About this paper

Cite this paper

Chow, C.L. (1983). On Cracking Instability in Plates Containing Circular Holes. In: Sih, G.C., Provan, J.W. (eds) Defects, Fracture and Fatigue. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6821-9_34

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-6821-9_34

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-6823-3

  • Online ISBN: 978-94-009-6821-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics