کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1448648 988679 2010 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Self-similar grain size distribution in three dimensions: A stochastic treatment
موضوعات مرتبط
مهندسی و علوم پایه مهندسی مواد سرامیک و کامپوزیت
پیش نمایش صفحه اول مقاله
Self-similar grain size distribution in three dimensions: A stochastic treatment
چکیده انگلیسی

In this paper, a stochastic formulation of three-dimensional grain growth is presented. This formulation employs the recent extension of the von Neumann law to three dimensions, and leads to a Fokker–Planck equation for the size distribution. The self-similar solutions of the Fokker–Planck equation presented here are based on the assumption of quasi-stationary distributions reached in the long time limit. The resulting grain size distributions, obtained both numerically and analytically, are shown to be in good agreement with each other and also with those obtained from computer simulations, indicating the validity of the stochastic approach.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Acta Materialia - Volume 58, Issue 3, February 2010, Pages 1037–1044
نویسندگان
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