Summary
Concentration solutions of crack problems under steady state conditions are expressed in terms of the Westergaard stress function. The problem of a central crack in an infinite plate subjected to a biaxial stress field at any angle of inclination with respect to the crack axis is considered in detail. The concentration distribution in the vicinity of the crack tip is obtained and is expressed in terms of the opening-mode and sliding-mode stress intensity factors. Constant terms, usually omitted, are incorporated into the concentration solution. The crack growth criterion based on the maximum concentration of diffusing species in front of the crack tip is reformulated by incorporating the constant terms of the concentration solution. It is shown that the omission of the constant terms may result in a significant error in the prediction of the critical quantities for crack growth.
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Gdoutos, E.E., Aifantis, E.C. Solute distribution in crack tips under mixed mode I/II conditions. Acta Mechanica 82, 1–9 (1990). https://doi.org/10.1007/BF01173735
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DOI: https://doi.org/10.1007/BF01173735