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Phase Field Methods

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Multiscale Paradigms in Integrated Computational Materials Science and Engineering

Part of the book series: Springer Series in Materials Science ((SSMATERIALS,volume 226))

Abstract

The phase-field method to modeling microstructure evolution in materials is introduced in this chapter. It can be employed to model, understand, and predict complex material behaviors at meso-scale (on the order of nano- to micro-meter size), and it covers application-relevant time scales (on the order of seconds to years). Coarse-grained from the underlying atomic-level physics, it is an established approach to fill the length-scale gap between atomic/electronic scale calculations and the macroscopic continuum method, ignoring the underlying material’s inhomogeneity. Employing energy functionals and nonlinear partial differential equations, the general formulation of phase-field models is outlined. Several applications of the phase-field model are presented.

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Author information

Authors and Affiliations

  1. Department of Materials Science and Engineering, The Pennsylvania State University, Pennsylvania, USA

    Nan Wang & Long-Qing Chen

Authors
  1. Nan Wang
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  2. Long-Qing Chen
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Correspondence to Nan Wang .

Editor information

Editors and Affiliations

  1. Dept of Materials Sci & Engineering, University of Arizona, Tucson, USA

    Pierre Deymier

  2. Department of Materials Science and Engineering, University of Arizona, Tucson, Arizona, USA

    Keith Runge

  3. Department of Materials Science and Engineering, University of Arizona, Tucson, Arizona, USA

    Krishna Muralidharan

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Wang, N., Chen, LQ. (2016). Phase Field Methods. In: Deymier, P., Runge, K., Muralidharan, K. (eds) Multiscale Paradigms in Integrated Computational Materials Science and Engineering. Springer Series in Materials Science, vol 226. Springer, Cham. https://doi.org/10.1007/978-3-319-24529-4_4

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