A finite difference model for the kinetics of sensitization |
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| Affiliation: | 1. Mechanical Engineering Research Institute of RAS - branch of the \"Federal Research Center The Institute of Applied Physics of the RAS\", 85, Belinskogo str., Nizhny Novgorod, 603024, Russian Federation;2. Department of Mechanical Engineering, Tufts University, Medford, MA 02155, USA;1. Department of Mechanical Engineering, Tufts University, Medford, MA 02155, United States;2. Mechanical Engineering Research Institute of RAS – branch of the \"Federal Research Center The Institute of Applied Physics of the RAS\", 85, Belinskogo str., Nizhny Novgorod 603024, Russian Federation;3. Saint Petersburg State University, Universitetskaya Emb. 7–9, St.Petersburg 199034, Russian Federation |
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| Abstract: | This paper reports on the development of a finite difference model of the sensitization process. The model can be applied to alloy systems in which diffusion of one component to and within the grain boundary determines the rate of precipitation in the boundary. An example application of the model to sensitization of austenitic stainless steel is given. The model predicts the Cr-profiles in and normal to the grain boundaries and includes the effect of overlap of the Cr-profiles along the grain boundary. Because overlap is considered, the model is applicable in the short time range prior to the formation of a uniform Cr-level along the boundary, as well as at longer times corresponding to conditions for which error function type models available in the literature are applicable. Thus, the model provides a distinct advantage over existing models in that sensitization time can be calculated once the carbide spacing is known. Calculated Cr-profiles agree well with experimentally measured profiles and are consistent with the observation that grain boundaries can be sensitized over their entire length or only along segments of their length. |
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