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On the elastic stabilization of precipitates against coarsening under applied load
Affiliation:1. Department of Materials Science and Engineering, The Ohio State University, Columbus, OH 43210, USA;2. School of Materials Science and Engineering, Harbin Institute of Technology, Shenzhen 518055, China;3. Department of Materials Science and Engineering, Friedrich-Alexander-Universität Erlangen-Nürnberg, Martensstr. 5, Erlangen 91058, Germany;4. Materials Science Division, Lawrence Livermore National Laboratory, Livermore, CA 94550, USA
Abstract:A simple procedure is developed for examining the stability against coarsening of two misfitting spherical precipitates subjected to an applied uniaxial tensile stress. Analytic expressions are obtained defining regions of stability and metastability. It is found that the applied stress can act to stabilize the precipitates for certain precipitate orientations with respect to the applied stress and destabilize the precipitates for other orientations. Conditions are also delineated in which small precipitates should be expected to grow at the expense of larger precipitates. These results are found to be in agreement with experiment for an applied stress field less than a threshold stress.
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