Equation of Motion for a Grain Boundary

Physical Review Letters
Luchan ZhangDavid J Srolovitz

Abstract

Grain boundary (GB) migration controls many forms of microstructural evolution in polycrystalline materials. Recent theory, simulations, and experiments demonstrate that GB migration is controlled by the motion of discrete line defects or disconnections. We present a continuum equation of motion for grain boundary derived from the underlying discrete disconnection mechanism. We also present an equation of motion for the junctions where multiple grain boundaries meet-as is always the case in a polycrystal. The resulting equation of motion naturally exhibits junction drag-a widely observed phenomena in junction dynamics in solids and liquids.

References

Jan 10, 2006·Nature Materials·Koenraad G F JanssensPeter M Derlet
Sep 26, 2012·Physical Review Letters·Alain KarmaYuri Mishin
Jul 16, 2013·Physical Review Letters·A RajabzadehN Combe
Mar 25, 2016·Scientific Reports·Liang-Liang NiuGuang-Hong Lu

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Citations

Apr 17, 2019·Proceedings of the National Academy of Sciences of the United States of America·Spencer L ThomasDavid J Srolovitz
Sep 18, 2020·Proceedings of the National Academy of Sciences of the United States of America·Wei LiYilong Han
Jun 16, 2018·Physical Review Letters·Yichao ZhuStephen Jonathan Chapman
Sep 1, 2019·The Journal of Chemical Physics·Ziwei Guo, James T Kindt
Jan 13, 2021·Nature Materials·Jiake WeiYuichi Ikuhara

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