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Approximate stress intensity factor for an embedded elliptical crack near two parallel free surfaces

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Abstract

An approximate stress intensity factor is derived for an embedded elliptical crack in a plate which is subjected to uniaxial tension in the direction perpendicular to the crack surface. The major axis of an eccentrically located elliptical crack is assumed to be parallel with the two plate surfaces. The approximate stress intensity factors on the minor axis of the elliptical crack are then determined as αBσ√a√π where a is a correction factor due to the curvature of the ellipse and 6 is a correction factor due to the eccentricity of the crack in the wall.

Résumé

Un facteur approché d'intensité de contrainte est obtenu pour une fracture elliptique encastrée dans une plaque soumise à une tension uniaxiale dans la direction perpendiculaire à la surface de la fracture. Le grand axe d'une fracture elliptique excentrique est supposé être parallèle aux deux surfaces de la plaque. Les facteurs approches d'intensité de contrainte, le long du petit axe de la fracture elliptique sont déterminés par αBσ√a √π où a est un facteur de correction dû à la courbure de l'ellipse et β est un facteur de correction dû à l'excentricité de la fracture dans le mur.

Zusammenfassung

Es wird ein angenaeherter Faktor fuer die Spannungskonzentration an einem elliptischen Riss, der in einen Platte unter einachsiger Zugspannung eingeschlossen ist, abgeleitet. Die Zugspannungsrichtung ist senkrecht zur Rissoberflaeche. Es wird angenommen, dass die Hauptachse des exzentrisch gelagerten Risses parallel zu den beiden Plattenoberflaechen ist. Fuer den angenaeherten Faktor der Spannungskonzentration an der kleineren Hauptachse des elliptischen Risses ergibt sich dann αBσ√a√π wobei α ein Korrekturfaktor fuer die Ellipsenkruemmung ist und β einen Korrekturfaktor fuer die Exzentrizitaet des Risses in der Platte bedeutet.

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Authors and Affiliations

  1. University of Washington, Seattle, Washington

    A. S. Kobayashi

  2. Iowa State University, Ames, Iowa

    M. Ziv

  3. Aero/Space Division, The Boeing Company, Seattle, Washington

    L. R. Hall

Authors
  1. A. S. Kobayashi
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  2. M. Ziv
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  3. L. R. Hall
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Kobayashi, A.S., Ziv, M. & Hall, L.R. Approximate stress intensity factor for an embedded elliptical crack near two parallel free surfaces. Int J Fract 1, 81–95 (1965). https://doi.org/10.1007/BF00186746

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  • DOI: https://doi.org/10.1007/BF00186746

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