Phase field methods

Nan Wang, Long Qing Chen

Research output: Chapter in Book/Report/Conference proceedingChapter

3 Citations (Scopus)

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.

Original languageEnglish (US)
Title of host publicationSpringer Series in Materials Science
PublisherSpringer Verlag
Pages195-217
Number of pages23
DOIs
StatePublished - Jan 1 2016

Publication series

NameSpringer Series in Materials Science
Volume226
ISSN (Print)0933-033X

Fingerprint

Electronic scales
Partial differential equations
Physics
Microstructure

All Science Journal Classification (ASJC) codes

  • Materials Science(all)

Cite this

Wang, N., & Chen, L. Q. (2016). Phase field methods. In Springer Series in Materials Science (pp. 195-217). (Springer Series in Materials Science; Vol. 226). Springer Verlag. https://doi.org/10.1007/978-3-319-24529-4_4
Wang, Nan ; Chen, Long Qing. / Phase field methods. Springer Series in Materials Science. Springer Verlag, 2016. pp. 195-217 (Springer Series in Materials Science).
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Wang, N & Chen, LQ 2016, Phase field methods. in Springer Series in Materials Science. Springer Series in Materials Science, vol. 226, Springer Verlag, pp. 195-217. https://doi.org/10.1007/978-3-319-24529-4_4

Phase field methods. / Wang, Nan; Chen, Long Qing.

Springer Series in Materials Science. Springer Verlag, 2016. p. 195-217 (Springer Series in Materials Science; Vol. 226).

Research output: Chapter in Book/Report/Conference proceedingChapter

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Wang N, Chen LQ. Phase field methods. In Springer Series in Materials Science. Springer Verlag. 2016. p. 195-217. (Springer Series in Materials Science). https://doi.org/10.1007/978-3-319-24529-4_4