Skip to main content
SpringerLink
Log in

Stress intensity factors for cracks emanating from rectangular cutouts

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

Abstract

The stress intensity factors are determined at the crack roots for a rectangular cutout with symmetric edge cracks in an infinite sheet under uniaxial tension.

The stress analysis is carried out using conformal mapping and the Muskhelishvili formulation. Numerical results are obtained for varying crack length and selected length-to-width ratios for the rectangle. The stress intensity factors are compared to those for a single internal crack to illustrate the influence of the cutout effects.

Résumé

On détermine les facteurs d'intensité de contraintes aux extrémités de deux fissures amorçées de part et d'autre d'un trou rectangulaire dans une tôle mince de dimensions infinies et soumise à traction uniaxiale.

L'analyse des contraintes est effectuée en recourant à la représentation conforme, et à la formulation proposée par Muskhelishvili. On obtient des résultats numériques correspondant à diverses longueurs des fissures, et divers rapports de la longueur sur la largeur du trou rectangulaire.

La comparaison des facteurs d'intensité de contraintes obtenus et de ceux qui correspondent a une simple fissure interne, illustre les effets du trou et de ses proportions géométriques.

Zusammenfassung

Die Spannungsintensitatsfaktoren an den RiBwurzeln zweier an beiden Enden cities rechteckigen Ausschnitts symmetrisch angeordneten Risses in einem dünnen Blech unendlicher Ausdehnung, welcher einer einachsigen Spannung unterworfen ist, werden bestimmt.

Die Analyse der Spannungen wird mit Hilfe der Konformen Darstellung and der Muskhelishvili-Formulierung durchgeführt. Es ergeben sich zahlenmäßige Resultate fur verschiedene Rißlängen and Verhältnisse von länge zu Breite des rechteckigen Ausschnittes.

Der Vergleich der Spannungsintensitatsfaktoren mit denjenigen eines einzelnen Risses illustrieren den Einfluß des Ausschnittes and seiner Abmessungen.

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

Literature cited

  1. N.I. Muskhelishvili, Some Basic Problems of the Mathematical Theory of Elasticity. P. Noordhoff, Ltd., Groningen, Groningen, Holland, 1953.

    Google Scholar 

  2. G. R. Irwin, Analysis of Stress and Strains Near The End of a Crack Traversing Plate, Journal of Applied Mechanics, 24, 3 (1957), 3

    Google Scholar 

  3. O. L. Bowie, Crack Stresses: An Application of Muskhelishvili's Extension Principle for Multivalued Mapping Functions. Army Materials and Mechanics Research Center, WAL TR, 811.8/4, March 1963.

  4. E. Jahnke and F. Emde, Tables of Functions with Formulae and Curves. Dover Publications, 1945.

  5. O. L. Bowie, Rectangular Tensile Sheet with Edge Cracks. Journal of Applied Mechanics, 31, 2 (1964); Army Materials and Mechanics Research Center, AMRA TR 63-22, October 1963.

  6. N. I. Muskhelishvili, Mathematische Annalen, 107 (1932–1933) 282–312.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Army Materials and Mechanics Research Center, USA

    D. M. Neal

Authors
  1. D. M. Neal
    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

Neal, D.M. Stress intensity factors for cracks emanating from rectangular cutouts. Int J Fract 6, 393–400 (1970). https://doi.org/10.1007/BF00182627

Download citation

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00182627

Keywords

Search

Navigation