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VI.—The Stress Intensity Factors for a Griffith Crack in an Elastic Body in which there is an Asymmetrical Distributtion of Body Forces*†

Published online by Cambridge University Press:  14 February 2012

I. N. Sneddon  and
J. Tweed
I. N. Sneddon
Affiliation:
Department of Mathematics, University of Glasgow
J. Tweed
Affiliation:
Department of Mathematics, University of Glasgow
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Synopsis

Formulae for the calculation of the stress intensity factor at the tip of a Griffith crack and for the normal component of the surface displacement are derived for a stressfree crack in an elastic solid in which there is an asymmetrical distribution of body forces. Particular distributions of point forces are considered in detail.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 69 , Issue 2 , 1971 , pp. 85 - 114
Copyright
Copyright © Royal Society of Edinburgh 1971

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References

References to Literature

Barenblatt, G. I., 1959. “On the equilibrium cracks due to brittle fracture: Straight cracks in plates”, Prikl. Mat. Mekh., 23, 706.Google Scholar
Barenblatt, G. I., 1962. “The mathematical theory of equilibrium cracks in brittle fracture”, Adv. Appl. Math., 7, 55.Google Scholar
Burniston, E. E., 1968. “An example of a partially opened Griffith crack”, Inst. J. Fracture Mech. [in press].Google Scholar
George, D. L., 1962. “Numerical values of some integrals involving Bessel functions”, Proc. Edinb. Math. Soc., 13, 87.Google Scholar
Irwin, G. R., 1958. “Fracture Mechanics”, ONR First Symp. Naval Struct. Mech. Oxford: Pergamon Press.Google Scholar
Lowengrub, M., 1966. “A note on Griffith cracks”, Proc. Edinb. Math. Soc.,. 15, 131.Google Scholar
Romualdi, J. P., and Saunders, P. H., 1959. “Fractures arrest by riveted stiffeners”, Proc. 4th Midwest Conf. Solid Mech. Texas Univ. Press.Google Scholar
Sneddon, I. N., 1951. Fourier Transforms. New YorkMcGraw-Hill Book Co.Google Scholar
Sneddon, I. N., 1960. “The elementary solution of dual integral equations”, Proc. Glasg. Math. Assn, 4, 108.Google Scholar
Sneddon, I. N., and Tweed, J., 1967. “The stress intensity factor for a Griffith crack in an elastic body in which forces are acting”, Int. J. Fracture Mech. 3, 317.Google Scholar