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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References
Tiffany, C.F. and Masters, J.N. Fracture Toughness Testing and Its Applications, American Society for Testing and Materials, Philadelphia, Pa., June 1964, pp. 249–278.
Paris, P. and Erdogan, F. Journal of Basic Engineering, Trans.ASME, December 1963, pp.528–534.
Irwin, G.R. Handbuch der Physik, 6, 1958, Springer, pp. 551–590.
Green, A.E. andSneddon I.N. Proceedings of Cambridge Phil. Soc., 46, 1950, pp. 159–164.
It win, G. R. Journal of Applied Mechanics, Trans.ASME, December 1962, pp.651–654.
Hall, L.R. and Kobayashi, A.S. “On the Correction of Stress Intensity Factors for Two Embedded Cracks”, Boeing Structural Development Research Memorandum No.9, May 1964.
Irwin, G.R. and Kies, J.A. Welding Journal, 31, 2, 1952, Research Supplement, pp. 95-s to 100-s.
Forman, R.G. and Kobayashi, A.S. Journal of Basic Engineering, Trans. ASME, 86, Series D, 4, December 1964, pp.693–699.
Erdogan, F. Proceedings of the 4th U.S. National Congress of Applied Mechanics, June 1962, pp.547–553.
Isida, M. and Itagaki, Y. Proceedings of the 4th U.S. National Congress of Applied Mechanics, June 1962, pp. 955–969.
Howland, R.C.J. Phil. Trans. Roy. Soc. London, Series A, 229, 1930, pp. 56–57.
Isida, M. Trans. of Japan Soc. of Mech. Engr., 87, 1955, pp. 100–106.
Isida, M. and Tagami, S. Proc. of the 9th Japan National Congress for Applied Mechanics, 1959, pp. 51–54.
Isida, M. Trans. of JSME, 5, 1, 1955, pp. 121–128.
Ziv, M. “Elastic Stress Distribution in an Infinite Strip with an Eccentric Crack”, University of Washington MS Thesis, 1964.
Paris, P.C. and Sih, G.C. Fracture Toughness Testing and Its Applications, American Society for Testing and Materials, Philadelphia, Pa., June 1964, pp. 30–83.
Winne, D. and Wundt, B. “Application of the Griffith-Itwin Theory-of Crack Propagation to the Bursting Behavior of Disks”, Trans. of ASME, November 1958.
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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