A phase-field model for highly anisotropic interfacial energy

J. J. Eggleston; G. B. McFadden; P. W. Voorhees

doi:10.1016/S0167-2789(00)00222-0

A phase-field model for highly anisotropic interfacial energy

J. J. Eggleston, G. B. McFadden, P. W. Voorhees^*

^*Corresponding author for this work

Materials Science and Engineering

Research output: Contribution to journal › Article › peer-review

229 Scopus citations

Abstract

A computationally efficient phase-field model is developed for two-phase systems with anisotropic interfacial energy. The approach allows for anisotropies sufficiently high that the interface has corners or missing crystallographic orientations. The method employs a regularization that enforces local equilibrium at the corners and allows corners to be added or removed without explicitly tracking their location. Numerical simulations for various degrees of anisotropy were performed and they show excellent agreement with analytical equilibrium shapes and yield accurate time dependent solutions for a wide variety of initial conditions.

Original language	English (US)
Pages (from-to)	91-103
Number of pages	13
Journal	Physica D: Nonlinear Phenomena
Volume	150
Issue number	1-2
DOIs	https://doi.org/10.1016/S0167-2789(00)00222-0
State	Published - Mar 15 2001

Funding

We acknowledge the financial support of the NSF through MRSEC at the Materials Research Center of Northwestern University (DMR-9632472).

Keywords

68.45. - v
81.10.Aj
82.65.Dp
Anisotropy
Interfacial energy
Phase-field

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

Access to Document

10.1016/S0167-2789(00)00222-0

Cite this

@article{04ec1f1f0fbe4e718c470c313d2578d0,

title = "A phase-field model for highly anisotropic interfacial energy",

abstract = "A computationally efficient phase-field model is developed for two-phase systems with anisotropic interfacial energy. The approach allows for anisotropies sufficiently high that the interface has corners or missing crystallographic orientations. The method employs a regularization that enforces local equilibrium at the corners and allows corners to be added or removed without explicitly tracking their location. Numerical simulations for various degrees of anisotropy were performed and they show excellent agreement with analytical equilibrium shapes and yield accurate time dependent solutions for a wide variety of initial conditions.",

keywords = "68.45. - v, 81.10.Aj, 82.65.Dp, Anisotropy, Interfacial energy, Phase-field",

author = "Eggleston, {J. J.} and McFadden, {G. B.} and Voorhees, {P. W.}",

note = "Funding Information: We acknowledge the financial support of the NSF through MRSEC at the Materials Research Center of Northwestern University (DMR-9632472).",

year = "2001",

month = mar,

day = "15",

doi = "10.1016/S0167-2789(00)00222-0",

language = "English (US)",

volume = "150",

pages = "91--103",

journal = "Physica D: Nonlinear Phenomena",

issn = "0167-2789",

publisher = "Elsevier",

number = "1-2",

}

TY - JOUR

T1 - A phase-field model for highly anisotropic interfacial energy

AU - Eggleston, J. J.

AU - McFadden, G. B.

AU - Voorhees, P. W.

N1 - Funding Information: We acknowledge the financial support of the NSF through MRSEC at the Materials Research Center of Northwestern University (DMR-9632472).

PY - 2001/3/15

Y1 - 2001/3/15

N2 - A computationally efficient phase-field model is developed for two-phase systems with anisotropic interfacial energy. The approach allows for anisotropies sufficiently high that the interface has corners or missing crystallographic orientations. The method employs a regularization that enforces local equilibrium at the corners and allows corners to be added or removed without explicitly tracking their location. Numerical simulations for various degrees of anisotropy were performed and they show excellent agreement with analytical equilibrium shapes and yield accurate time dependent solutions for a wide variety of initial conditions.

AB - A computationally efficient phase-field model is developed for two-phase systems with anisotropic interfacial energy. The approach allows for anisotropies sufficiently high that the interface has corners or missing crystallographic orientations. The method employs a regularization that enforces local equilibrium at the corners and allows corners to be added or removed without explicitly tracking their location. Numerical simulations for various degrees of anisotropy were performed and they show excellent agreement with analytical equilibrium shapes and yield accurate time dependent solutions for a wide variety of initial conditions.

KW - 68.45. - v

KW - 81.10.Aj

KW - 82.65.Dp

KW - Anisotropy

KW - Interfacial energy

KW - Phase-field

UR - http://www.scopus.com/inward/record.url?scp=0035276946&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035276946&partnerID=8YFLogxK

U2 - 10.1016/S0167-2789(00)00222-0

DO - 10.1016/S0167-2789(00)00222-0

M3 - Article

AN - SCOPUS:0035276946

SN - 0167-2789

VL - 150

SP - 91

EP - 103

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

IS - 1-2

ER -

A phase-field model for highly anisotropic interfacial energy

Abstract

Funding

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this