@inbook{81c924fef823473aba1ae08d65298296,
title = "Phase field methods",
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{\textquoteright}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.",
author = "Nan Wang and Chen, {Long Qing}",
note = "Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2016.",
year = "2016",
doi = "10.1007/978-3-319-24529-4_4",
language = "英语",
series = "Springer Series in Materials Science",
publisher = "Springer Verlag",
pages = "195--217",
booktitle = "Springer Series in Materials Science",
address = "Germany",
}