A non-equilibrium thermodynamics framework for domain evolution; phase field models and finite element implementation

Yu Su*, Chad M. Landis

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

7 Citations (Scopus)

Abstract

A continuum thermodynamics framework for the diffuse interface or "phase field" approach to domain evolution is presented. The theory distinguishes the fundamental balance laws which are universal (i.e. mechanical equilibrium, Gauss' law, and a new micro-force balance) from the constitutive laws, which describe the behavior of a specific material. A finite element formulation based on a virtual work statement is implemented using mechanical displacements, electrical potential, and polarization components (the vector "order parameter") as nodal degrees of freedom. The finite element code is then applied to simulate the growth of a 180° domain needle through a parent domain.

Original languageEnglish
Title of host publicationSmart Structures and Materials 2006 - Active Materials
Subtitle of host publicationBehavior and Mechanics
DOIs
Publication statusPublished - 2006
Externally publishedYes
EventSmart Structures and Materials 2006 - Active Materials: Behavior and Mechanics - San Diego, CA, United States
Duration: 27 Feb 20062 Mar 2006

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume6170
ISSN (Print)0277-786X

Conference

ConferenceSmart Structures and Materials 2006 - Active Materials: Behavior and Mechanics
Country/TerritoryUnited States
CitySan Diego, CA
Period27/02/062/03/06

Keywords

  • Domain structure evolution
  • Finite element methods
  • Phase field model

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