Volume 99, Number 2, July 2012
|Number of page(s)||4|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||24 July 2012|
A note on grain topology-size relationship of three-dimensional polycrystalline microstructures
1 School of Materials Science and Engineering, University of Science and Technology Beijing - 100083 Beijing, PRC
2 Center for Advanced Structural Materials, Department of Mechanical and Biomedical Engineering, City University of Hong Kong - 999077 Hong Kong, PRC
3 State Key Laboratory for Advanced Metals and Materials, University of Science and Technology Beijing 100083 Beijing, PRC
Received: 18 April 2012
Accepted: 26 June 2012
A grain topology-size equation for three-dimensional grains is suggested by considering the interactions of the nearest-neighbor grains, which indicates that the average grain size of a given topological class is determined by the difference between the grain face number and the average face number of nearest neighbors. In addition, a practical grain topology-size equation is presented. The two equations show good agreement with various experimental results. They are also verified by data of large-scale Potts model Monte Carlo simulation and Surface Evolver simulation.
PACS: 81.10.Aj – Theory and models of crystal growth; physics and chemistry of crystal growth, crystal morphology, and orientation / 64.30.Ef – Equations of state of pure metals and alloys
© EPLA, 2012
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