Grain Size Distributions and Evolution Equations in Nanocrystalline Grain Growth

Abstract:

Size effects observed in nanocrystalline grain growth are modeled by attributing each type of grain boundary junction an own specific energy and finite mobility. By considering grain growth as a dissipative process that is driven by the reduction of the Gibbs free interface and junction energy a general grain evolution equation is derived that separates into nine types of possible growth kinetics. The corresponding self-similar grain size distributions are derived and compared with results from modified Monte Carlo Potts model simulations taking into account size effects in triple and quadruple junction limited grain growth.

• Periodical: Materials Science Forum (Volumes 715-716)
• Pages: 806-811
• DOI: https://doi.org/10.4028/www.scientific.net/MSF.715-716.806
• Online since: April 2012
• Authors: Peter Streitenberger, Dana Zöllner
• Keywords: Dissipation, Grain Boundary Junction, Grain Size Distribution, Growth Law, Mean-Field Theory, Monte-Carlo Simulation, Nanocrystalline Grain Growth, Size Effect

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