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Phase-field approach to the electrostatic interaction of inhomogeneous dielectrics
Y. Ni * #
CAS Key Laboratory of Mechanical Behavior and Design of Materials, Department of Modern Mechanics,University of Science and Technology of China
*Correspondence author
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Funding: 高等学校博士学科点专项科研基金资助课题（No.20103402120016）
Opened online:20 February 2014
Accepted by: none
Citation: Y. Ni.Phase-field approach to the electrostatic interaction of inhomogeneous dielectrics[OL]. [20 February 2014] http://en.paper.edu.cn/en_releasepaper/content/4584682
 
 
A phase-field method is proposed to solve the electrostatic field of materials with arbitrary dielectric inhomogeneities under applied electric field. This method is based on Eshelby's approach, in which the inhomogeneities are characterized by a prescribed effective polarization field, and on the phase-field theory for attaining the effective polarization. Through the variational principle, the method shows that the electrostatic field of the heterogeneous dielectrics can be evaluated by establishing an equivalent system having a homogeneous dielectric phase and a prescribed polarization field determined by a time-dependent Ginzburg-Landau equation. Possible applications of this method in heterogeneous dielectrics are discussed.
Keywords:Heterogeneous dielectrics, Phase-field Method, Effective Property
 
 
 

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