Abstract
It has been assumed for a number of years that dilute solid solutions obey a Friedel limit;i.e., the concentration dependence of the yield stress varies as 1/2 power (c 1/2), whereas in more concentrated solid solutions, the Mott limit is upheld with a predicted concentration dependence ofc 2/3. These two limits were examined both analytically and numerically. As expected, the Friedel limit can be reproduced without any difficulty. However, in the Mott limit, a detailed analytical treatment of the concentrated solution case resulted in a concentration dependence of the yield stress asc 1/2. The numerical data are in agreement with this analytical result in the Mott limit. Earlier work which predicted a,c 2/3 dependence is analyzed, and certain key assumptions are shown to be invalid.
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Arsenault, R.J., Patu, S. & Esterling, D.M. Computer simulation of solid solution strengthening in Fcc alloys: Part I. Friedel and mott limits. Metall Trans A 20, 1411–1418 (1989). https://doi.org/10.1007/BF02665498
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DOI: https://doi.org/10.1007/BF02665498