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Stress Distribution Around a Central Crack in a Plate Loaded in Tension ; Effect of Finite Width of Plate

Published online by Cambridge University Press:  04 July 2016

J. R. Dixon*
Affiliation:
National Engineering Laboratory, East Kilbride, Glasgow

Extract

The purpose of the work was to investigate the effect of the finite width of plate on the elastic-stress distribution due to a central crack in a flat plate loaded in tension.

The range of investigation: (i) Two-dimensional photoelastic tests were carried out on flat-plate specimens. The photoelastic specimens were geometrically similar to the 10 in. wide fatigue specimens used by Frost and Dugdale, with the central crack simulated by a slot bounded by holes of small radii, (ii) A theoretical solution of the problem was derived and compared with the present and other photoelastic results.

It is shown that the effect of the crack-length/plate-width ratio on the elastic-stress concentration at the head of the crack can be expressed by the following formulae:

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society 1960

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References

1.Frost, M. E. and Dugdale, D. S. (1958). The Propagation of Fatigue Cracks in Sheet Specimens. J. Mech. Phys. Sol., 6, 1958.CrossRefGoogle Scholar
2.Dixon, J. R. (1957) British Journal of Applied Physics, 8 (8), p. 313, August 1957.Google Scholar
3.Coker, E. G. and Filon, L. N. G. (1931). A Treatise on Photoelasticity. Cambridge University Press, 1931.Google Scholar
4.Inglis, C. E. (1913). Stresses in a Plate due to the Presence of Cracks and Sharp Corners. Trans. Inst. Nav. Arch., 55. Part 1, 1913.Google Scholar
5.Ross, D. S. (1958). Stress Distribution in Tension Plates Containing Various Types of Discontinuities. Lecture; Inst. Phys., Stress Anal. Group Conf.. Glasgow, March 1958.Google Scholar
6.Howland, R. C. J. (1930). On the Stresses in the Neigh bourhood of a Circular Hole in a Strip in Tension. Phil. Trans. Roy. Soc, A229, 48, 1930.Google Scholar
7.Heywood, R. B. (1952). Designing by Photoelasticity. Chapman and Hall, London, 1952.Google Scholar