A Method of Images for the Evaluation of Electrostatic Fields in Systems of Closely Spaced Conducting Cylinders
A Method of Images for the Evaluation of Electrostatic Fields in Systems of Closely Spaced Conducting Cylinders
复制标题
一种用于评估紧密间隔导电圆柱体系统静电场的图像方法
DOI：
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发表时间：
1998
影响因子：
1.9
通讯作者：
L. Greengard
中科院分区：
文献类型：
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作者：
Hongwei Cheng;L. Greengard
长期以来，材料科学研究的一个领域是研究具有密集夹杂物的复合材料中的静电场、磁场和弹性场，这些夹杂物的材料性质与背景明显不同。虽然已有强大的工具用于稀释悬浮液，但在接近接触的情况下，精确计算主要是通过渐近方法进行的，并且只针对简单的几何形状，如规则的圆柱体或球体阵列。在本文中，我们发展了一种混合数值方法来计算由任意色散圆柱体组成的复合材料中的静电场。我们的方法是基于控制界面问题的积分方程式，并结合一种新的映象方法。对于每个包含，仅使用少量自由度即可实现高精度。
A long-standing area of materials science research has been the study of electrostatic, magnetic, and elastic fields in composites with densely packed inclusions whose material properties differ markedly from that of the background. While powerful tools exist for dilute suspensions, accurate calculations in the close-to-touching case have been carried out largely by asymptotic methods and only for simple geometries such as regular arrays of cylinders or spheres. In this paper, we develop a hybrid numerical method for the evaluation of electrostatic fields in composites consisting of arbitrary dispersions of cylinders. Our approach is based on an integral equation formulation of the governing interface problem combined with a new method of images. High accuracy is achieved using only a small number of degrees of freedom for each inclusion.