基于有限元法的材料电特性计算机仿真研究  

Study on Computer Simulation of Electrical Properties for Materials Based on Finite Element Method

作　　者：王伦 范珍珍 郭晨[1] WANG Lun;FAN Zhen-zhen;GUO Chen(School of Information Engineering,Chang’an University,Xi’an 710064,China)

机构地区：[1]长安大学信息工程学院,陕西西安710064

出　　处：《计算机技术与发展》2022年第6期145-149,共5页Computer Technology and Development

基　　金：国家自然科学基金面上项目(42074170)。

摘　　要：等效电特性(如介电常数和电导率)是复合材料的重要物理属性,通常受到材料成分、占比、几何结构等多种因素影响。为深入研究夹杂物形状对复合材料等效电特性的影响机理,采用有限元法(FEM)模拟分析了具有不同形状夹杂物的复合材料模型在静电场下所表现出的等效介电特性,并提出以模型内部所产生的平均场浓度和场波动参数来观察并解释夹杂物几何结构对等效电特性的影响规律。论文借助计算机仿真技术,计算了复合材料模型中,当夹杂物和宿主的介电常数比值不同时,夹杂物几何结构对材料等效介电常数的影响,并将仿真结果与几种经典混合模型的解析公式进行了比较。分析结果表明,复合材料的内部平均场强及场波动变化与等效介电常数变化规律相吻合,而场波动与夹杂物几何结构特征有较为直接的相关性,从而可对材料等效电特性的变化进行合理解释。这一模拟分析方法可为复合材料设计等应用研究提供理论参考依据。Effective electrical property(e.g.permittivity and conductivity)is the important physical property of composite materials,which usually determined by various factors such as material composition,proportion,and geometric structure.In order to investigate the influence mechanism of inclusion shape on the effective electrical properties of composite materials,the finite-element method(FEM)is used to compute the effective dielectric properties of composite with different shapes of inclusions under the electrostatic field simulation.Two parameters including the average field concentration(AFC)and the field fluctuation(FF)are proposed to observe thus explain how the inclusion geometry influences the effective electrical properties.In this study,the influence of inclusion geometry on the effective permittivity of two-phase composite material is calculated by computer simulation technology when the permittivity contrast ratio of between each phase varies,and the simulation results are compared with the several analytical mixing laws.The results show that the variation of the AFC and FF in the composite are consistent with the variation of the effective permittivity,and the FF is directly related to the geometrical structure characteristics of the inclusion,which can reasonably explain the variation of the effective electrical properties of the composite material.This simulation analysis method is expected to provide a theoretical reference for composite material design and other applications.

关 键 词：计算机建模仿真 有限元算法 等效介电常数 场波动 场浓度 

分 类 号：TP391.9[自动化与计算机技术—计算机应用技术]