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Proceedings Paper

A non-equilibrium thermodynamics framework for domain evolution: phase field models and finite element implementation
Author(s): Yu Su; Chad M. Landis
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Paper 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.

Paper Details

Date Published: 30 March 2006
PDF: 9 pages
Proc. SPIE 6170, Smart Structures and Materials 2006: Active Materials: Behavior and Mechanics, 617001 (30 March 2006); doi: 10.1117/12.660688
Show Author Affiliations
Yu Su, Rice Univ. (United States)
Chad M. Landis, Rice Univ. (United States)

Published in SPIE Proceedings Vol. 6170:
Smart Structures and Materials 2006: Active Materials: Behavior and Mechanics
William D. Armstrong, Editor(s)

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