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总览 评价 倪勇 * （ 材料力学行为与设计中科院重点实验室，近代力学系，中国科学技术大学，合肥，安徽，230026； ） 摘要： 本文发展了一种相场方法处理介电系数非均匀介电体之间的静电长程相互作用．该方法类似于相场微弹性模型处理弹性非均匀夹杂之间的弹
倪勇*
（
材料力学行为与设计中科院重点实验室，近代力学系，中国科学技术大学，合肥，安徽，230026； ）
摘要：
本文发展了一种相场方法处理介电系数非均匀介电体之间的静电长程相互作用．该方法类似于相场微弹性模型处理弹性非均匀夹杂之间的弹性相互作用, 数值模拟结果表明该方法可以计算任意介电非均匀性之间的静电相互作用场。
关键词：
静电相互作用，介电体，相场方法
Y. Ni*
（
CAS Key Laboratory of Mechanical Behavior and Design of Materials, Department of Modern Mechanics,University of Science and Technology of China； ）
Abstract：
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.
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