Modelling polycrystalline solidification using phase field theory

László Gránásy, T. Pusztai, James A. Warren

Research output: Contribution to journalArticle

115 Citations (Scopus)

Abstract

We review recent advances made in the phase field modelling of polycrystalline solidification. Areas covered include the development of theory from early approaches that allow for only a few crystal orientations, to the latest models relying on a continuous orientation field and a free energy functional that is invariant to the rotation of the laboratory frame. We discuss a variety of phenomena, including homogeneous nucleation and competitive growth of crystalline particles having different crystal orientations, the kinetics of crystallization, grain boundary dynamics, and the formation of complex polycrystalline growth morphologies including disordered ('dizzy') dendrites, spherulites, fractal-like polycrystalline aggregates, etc. Finally, we extend the approach by incorporating walls, and explore phenomena such as heterogeneous nucleation, particle-front interaction, and solidification in confined geometries (in channels or porous media).

Original languageEnglish
JournalJournal of Physics Condensed Matter
Volume16
Issue number41
DOIs
Publication statusPublished - Oct 20 2004

Fingerprint

Crystal orientation
solidification
Solidification
Nucleation
Crystallization
nucleation
Fractals
Free energy
Porous materials
spherulites
Grain boundaries
dendrites
Crystalline materials
Kinetics
crystals
Geometry
fractals
grain boundaries
free energy
crystallization

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

Modelling polycrystalline solidification using phase field theory. / Gránásy, László; Pusztai, T.; Warren, James A.

In: Journal of Physics Condensed Matter, Vol. 16, No. 41, 20.10.2004.

Research output: Contribution to journalArticle

@article{08b6ea67ff894eb793e5b4575c250585,
title = "Modelling polycrystalline solidification using phase field theory",
abstract = "We review recent advances made in the phase field modelling of polycrystalline solidification. Areas covered include the development of theory from early approaches that allow for only a few crystal orientations, to the latest models relying on a continuous orientation field and a free energy functional that is invariant to the rotation of the laboratory frame. We discuss a variety of phenomena, including homogeneous nucleation and competitive growth of crystalline particles having different crystal orientations, the kinetics of crystallization, grain boundary dynamics, and the formation of complex polycrystalline growth morphologies including disordered ('dizzy') dendrites, spherulites, fractal-like polycrystalline aggregates, etc. Finally, we extend the approach by incorporating walls, and explore phenomena such as heterogeneous nucleation, particle-front interaction, and solidification in confined geometries (in channels or porous media).",
author = "L{\'a}szl{\'o} Gr{\'a}n{\'a}sy and T. Pusztai and Warren, {James A.}",
year = "2004",
month = "10",
day = "20",
doi = "10.1088/0953-8984/16/41/R01",
language = "English",
volume = "16",
journal = "Journal of Physics Condensed Matter",
issn = "0953-8984",
publisher = "IOP Publishing Ltd.",
number = "41",

}

TY - JOUR

T1 - Modelling polycrystalline solidification using phase field theory

AU - Gránásy, László

AU - Pusztai, T.

AU - Warren, James A.

PY - 2004/10/20

Y1 - 2004/10/20

N2 - We review recent advances made in the phase field modelling of polycrystalline solidification. Areas covered include the development of theory from early approaches that allow for only a few crystal orientations, to the latest models relying on a continuous orientation field and a free energy functional that is invariant to the rotation of the laboratory frame. We discuss a variety of phenomena, including homogeneous nucleation and competitive growth of crystalline particles having different crystal orientations, the kinetics of crystallization, grain boundary dynamics, and the formation of complex polycrystalline growth morphologies including disordered ('dizzy') dendrites, spherulites, fractal-like polycrystalline aggregates, etc. Finally, we extend the approach by incorporating walls, and explore phenomena such as heterogeneous nucleation, particle-front interaction, and solidification in confined geometries (in channels or porous media).

AB - We review recent advances made in the phase field modelling of polycrystalline solidification. Areas covered include the development of theory from early approaches that allow for only a few crystal orientations, to the latest models relying on a continuous orientation field and a free energy functional that is invariant to the rotation of the laboratory frame. We discuss a variety of phenomena, including homogeneous nucleation and competitive growth of crystalline particles having different crystal orientations, the kinetics of crystallization, grain boundary dynamics, and the formation of complex polycrystalline growth morphologies including disordered ('dizzy') dendrites, spherulites, fractal-like polycrystalline aggregates, etc. Finally, we extend the approach by incorporating walls, and explore phenomena such as heterogeneous nucleation, particle-front interaction, and solidification in confined geometries (in channels or porous media).

UR - http://www.scopus.com/inward/record.url?scp=7244227680&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=7244227680&partnerID=8YFLogxK

U2 - 10.1088/0953-8984/16/41/R01

DO - 10.1088/0953-8984/16/41/R01

M3 - Article

VL - 16

JO - Journal of Physics Condensed Matter

JF - Journal of Physics Condensed Matter

SN - 0953-8984

IS - 41

ER -