- Cited by 26
Chen, Long-Qing 2002. Phase-Field Models for Microstructure Evolution. Annual Review of Materials Research, Vol. 32, Issue. 1, p. 113.
Park, Sung Il Han, Sang Soo Kim, Hyoung Gyu Park, Joong Keun and Lee, Hyuck Mo 2002. Three-dimensional monte-carlo simulation of grain growth in Pt-Co thin film. Journal of Electronic Materials, Vol. 31, Issue. 10, p. 965.
Krill III, C.E. and Chen, L.-Q. 2002. Computer simulation of 3-D grain growth using a phase-field model. Acta Materialia, Vol. 50, Issue. 12, p. 3059.
Miodownik, Mark A. 2002. A review of microstructural computer models used to simulate grain growth and recrystallisation in aluminium alloys. Journal of Light Metals, Vol. 2, Issue. 3, p. 125.
Durand, G. Weiss, J. Lipenkov, V. Barnola, J. M. Krinner, G. Parrenin, F. Delmonte, B. Ritz, C. Duval, P. Röthlisberger, R. and Bigler, M. 2006. Effect of impurities on grain growth in cold ice sheets. Journal of Geophysical Research, Vol. 111, Issue. F1,
Gao, M.C. Gruber, Jason Rollett, Anthony D. and Kuprat, Andrew P. 2007. Computer Simulations Combining Finite Difference and Finite Element Methods: Solute Drag on Migrating Grain Boundaries in Three-Dimension. Materials Science Forum, Vol. 558-559, Issue. , p. 1075.
Machlin, Eugene S. 2007. An Introduction to Aspects of Thermodynamics and Kinetics Relevant to Materials Science. p. 289.
Singer-Loginova, I and Singer, H M 2008. The phase field technique for modeling multiphase materials. Reports on Progress in Physics, Vol. 71, Issue. 10, p. 106501.
Kim, Seong Gyoon and Park, Yong Bum 2008. Grain boundary segregation, solute drag and abnormal grain growth. Acta Materialia, Vol. 56, Issue. 15, p. 3739.
Moelans, Nele Blanpain, Bart and Wollants, Patrick 2008. An introduction to phase-field modeling of microstructure evolution. Calphad, Vol. 32, Issue. 2, p. 268.
Li, J. Wang, J. and Yang, G. 2009. Phase field modeling of grain boundary migration with solute drag. Acta Materialia, Vol. 57, Issue. 7, p. 2108.
Li, Junjie Wang, Jincheng and Yang, Gencang 2010. Phase field simulation of grain growth with grain boundary segregation. International Journal of Materials Research, Vol. 101, Issue. 4, p. 555.
Wang, Yunzhi and Li, Ju 2010. Phase field modeling of defects and deformation. Acta Materialia, Vol. 58, Issue. 4, p. 1212.
Hallberg, Håkan 2011. Approaches to Modeling of Recrystallization. Metals, Vol. 1, Issue. 1, p. 16.
Heo, Tae Wook Bhattacharyya, Saswata and Chen, Long-Qing 2011. A phase field study of strain energy effects on solute–grain boundary interactions. Acta Materialia, Vol. 59, Issue. 20, p. 7800.
Goldstein, Adrian 2012. Correlation between MgAl2O4-spinel structure, processing factors and functional properties of transparent parts (progress review). Journal of the European Ceramic Society, Vol. 32, Issue. 11, p. 2869.
Barmak, K. Eggeling, E. Kinderlehrer, D. Sharp, R. Ta’asan, S. Rollett, A.D. and Coffey, K.R. 2013. Grain growth and the puzzle of its stagnation in thin films: The curious tale of a tail and an ear. Progress in Materials Science, Vol. 58, Issue. 7, p. 987.
Heo, Tae Wook Bhattacharyya, Saswata and Chen, Long-Qing 2013. A phase-field model for elastically anisotropic polycrystalline binary solid solutions. Philosophical Magazine, Vol. 93, Issue. 13, p. 1468.
Hallberg, Håkan 2013. A modified level set approach to 2D modeling of dynamic recrystallization. Modelling and Simulation in Materials Science and Engineering, Vol. 21, Issue. 8, p. 085012.
Hersent, Emmanuel Marthinsen, Knut and Nes, Erik 2014. On the Effect of Atoms in Solid Solution on Grain Growth Kinetics. Metallurgical and Materials Transactions A, Vol. 45, Issue. 11, p. 4882.
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The effects of solute drag on grain growth kinetics were studied in two-dimensional (2D) computer simulations by using a diffuse-interface field model. It is shown that, in the low velocity/low driving force regime, the velocity of a grain boundary motion departs from a linear relation with driving force (curvature) with solute drag. The nonlinear relation of migration velocity and driving force comes from the dependence of grain boundary energy and width on the curvature. The growth exponent m of power growth law for a polycrystalline system is affected by the segregation of solutes to grain boundaries. With the solute drag, the growth exponent m can take any value between 2 and 3, depending on the ratio of lattice diffusion to grain boundary mobility. The grain size and topological distributions are unaffected by solute drag, which are the same as those in a pure system.
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