Abstract
Formulae for the stress intensity factor at the tip of a Griffith crack and for the normal component of the surface displacement are derived for a stress-free crack in an elastic solid in which there is a symmetrical distribution of body forces. Particular distributions of point forces are considered in detail.
Résumé
Dans le cas d'une fissure qui n'est pas sous tension dans un solide élastique où existe une distribution symétrique des forces intemes, on a pu déterminer les formules donnant le facteur de concentration de tension á la pointe d'une fissure de Griffith ainsi que la composante normale du déplacement des surfaces de la fissure. On a examiné en détail certaines distributions particulières de forces concentrées.
Zusammenfassung
Eine Formel für den Spannungsintensitätfaktor an der Spitze eines Griffischen Risses und für den normal Bestandteil zu der Oberflächenverschiebung für einen spannungsfreien Riss in einem elastischen Festkörper in welchem eine symmetrische Verteilung der Körperkräfte ist, ist gewonnen. Besondere Verteilungen von Punktkräften werden ausführlich behandelt.
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References
See, e.g., G. I. Barenblatt; Advances in Applied Mechanics, 7, 55 (1962) (and the papers referred to G.C. Sil: there); Trans. Chinese Assn. for Advances Studies, (1962).
I.N. Sneddon and H. A. Alliott Quart. Appl. Math.4, 262, (1946).
I. N. Sneddon Fourier Transforms, McGraw-Hill, New York, 1951.
M. Lowengrub Proc. Edinburgh Math. Soc. (in course of publication).
D. L. George Proc. Edinburgh Math. Soc. (ii), 13, 87 (1962).
Additional information
This paper was prepared as a part of the work of the Applied Mathematics Research Group at North Carolina State University through the Grant AF-AFOSR-444-66 and is under the joint sponsorship of AFOSR, ARO, and ONR through the Joint Services Advisory Group.
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Sneddon, I.N., Tweed, J. The stress intensity factor for a Griffith crack in an elastic body in which body forces are acting. Int J Fract 3, 317–330 (1967). https://doi.org/10.1007/BF00182896
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DOI: https://doi.org/10.1007/BF00182896