Journal of Materials Science

, Volume 44, Issue 9, pp 2206–2217 | Cite as

Phase field modeling of grain growth: effect of boundary thickness, triple junctions, misorientation, and anisotropy

  • I. M. McKennaEmail author
  • M. P. Gururajan
  • P. W. Voorhees
Festschrift in honour of Prof T R Anantharaman on the occasion of his 80th birthday


Phase-field models based on multiple order parameters are used extensively to study grain growth in polycrystalline materials. However, if simulations are to be carried out using experimentally obtained microstructures as the initial condition, and the resultant microstructures are to be carefully compared with those obtained from experiments, then the parameters used in the numerical simulations need to be benchmarked with analytical solutions. Furthermore, the models themselves need to be modified to incorporate the dependence of grain boundary energy on misorientation across the boundary as well as the anisotropy in the boundary energy for any given misorientation that stems from the planes of different grains that make up the boundary. In this article, we address both these issues and present some preliminary results from our 2D and 3D simulations.


Grain Boundary Phase Field Triple Junction Boundary Energy Shrinkage Rate 



We thank Yunzhi Wang and Dave Rowenhorst for useful discussions, and the Office of Naval Research (ONR-CNV0044048) for financial support.


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Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  • I. M. McKenna
    • 1
    Email author
  • M. P. Gururajan
    • 1
    • 2
  • P. W. Voorhees
    • 1
  1. 1.Department of Materials Science and EngineeringNorthwestern UniversityEvanstonUSA
  2. 2.Department of Applied MechanicsIndian Institute of Technology – DelhiHauz KhasIndia

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