Summary
An integral transform solution is given for the problem of an edgecrack forming at the free boundary of a half-plane. The plastic zone is taken in precisely the form as it appears experimentally in such materials as low-C steels. The method used is a further extension of the work of Sneddon and Das [1]. Using Dugdales hypothesis, the length of plastic zone is obtained. When the plastic zone tends of zero length, the solution of the stretching of an elastic half-plane with an edge crack is obtained.
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References
Sneddon, I. N., Das, S. C.: The stress intensity factor at the tip of an edge crack in elastic half-plane. Int. J. Engng. Sci.9, 25–36 (1971).
Kuliev, V. D.: Plastic deformation at the tip of an edge crack, PMM, Journal of Applied Mathematics and Mechanics43, 171–178 (1979).
Dugdale, D. S.: Yielding of steel sheets containing slits. J. Mech. Phys. Solids8, 100–104 (1960).
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Singh, B.M., Danyluk, H.T. & Vrbik, J. A note on plastic deformation at the tip of an edge crack. Acta Mechanica 55, 81–86 (1985). https://doi.org/10.1007/BF01267980
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DOI: https://doi.org/10.1007/BF01267980