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Aphase-fieldmodelforsystemswithcoupledlarge.PDF
A phase-field model f or systems with coupled large deformation and mass
transport
Wei Hong1,2* and Xiao Wang2
1 Department of Aerospace Engineering, Iowa State University, Ames, IA 50011, USA
2 Department of Materials Science and Engineering, Iowa State University, Ames, IA 50011, USA
Abstract
Phase-field model is a powerful tool for studying the microstructure evolution of materials. This
paper seeks to introduce phase-field modeling to the field of soft materials, especially for studying
polymeric gels. A general framework for the field theory of coupled large deformation and mass
transport is established, and two specific models of diffuse interface are proposed. The ideal liquid-like
interface has a deformation-independent energy and gives rise to a constant surface tension, and a non-
ideal interface would result in a strain-dependent surface stress. Either model gives a stress field
consistent with the effect of interface line force. The field theory is implemented into a finite-element
code, and several numerical examples are calculated with representative material models in which
deformation is weakly or strongly coupled with mass transport. The numerical models demonstrate the
versatility of the phase-field methodology, and reveal some interesting phenomena due to the coupling.
For example, the composition of a separated phase is significantly affected by the kinematic constraint,
and varies during coarsening.
Keywords: phase-field model, finite strain, interface model
*whong@
1. Introduction
Phase field is a versatile tool for modeling phase transition and morphological and
microstructure evolution in condensed matter, and has undergone continuous development for various
applications (Boettinger et al., 2002; Chen, 2002; Emmerich, 2008). In this paper, we s
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