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

Yu Su; Chad M. Landis

doi:10.1117/12.660688

30 March 2006 A non-equilibrium thermodynamics framework for domain evolution: phase field models and finite element implementation

Yu Su, Chad M. Landis

Author Affiliations +

Proceedings Volume 6170, Smart Structures and Materials 2006: Active Materials: Behavior and Mechanics; 617001 (2006) https://doi.org/10.1117/12.660688
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2006, San Diego, California, United States

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.

Citation Download Citation

Yu Su and Chad M. Landis "A non-equilibrium thermodynamics framework for domain evolution: phase field models and finite element implementation", Proc. SPIE 6170, Smart Structures and Materials 2006: Active Materials: Behavior and Mechanics, 617001 (30 March 2006); https://doi.org/10.1117/12.660688

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