Journal
MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING
Volume 23, Issue 4, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0965-0393/23/4/045009
Keywords
zener pinning; phase field method; grain boundary migration; grain growth
Funding
- Department of Energy Nuclear Energy Advanced Modeling and Simulation program
- US Department of Energy [DE-AC07-05ID14517]
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In this work, we expand a grain boundary (GB) pinning model that considers a range of different spatial distributions of particles to also account for a distribution of particle sizes. We begin by developing a phase field model that describes GB and pore interactions and verify it by comparing to molecular dynamics simulations. We then develop an analytical pinning model that considers the impact of the particle size distribution, in terms of the mean and standard deviation of the particle radius. The analytical model is verified by comparing to simulation results of our phase field model and those of a simple Monte Carlo model. A significant finding from the model is that the mean value of the resistive pressure decreases with increasing standard deviation of the particle radius.
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