Bruggeman homogenization of a particulate composite material comprising truncated spheres and spheroids.

IF 2.3 4区 物理与天体物理 Q3 PHYSICS, CONDENSED MATTER Journal of Physics: Condensed Matter Pub Date : 2024-11-07 DOI:10.1088/1361-648X/ad899c
Héctor M Iga-Buitrón, Tom G Mackay, Akhlesh Lakhtakia
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Abstract

Closed-form expressions were established for depolarization dyadics for a truncated sphere and a truncated spheroid, both electrically small, immersed in a uniaxial dielectric ambient medium. These depolarization dyadics were used to develop the Bruggeman homogenization formalism to predict the relative permittivity dyadic of a homogenized composite material (HCM) arising from a randomly distributed mixture of oriented particles shaped as truncated spheres and spheroids. Unlike other homogenization formalisms, most notably the Maxwell Garnett formalism, the Bruggeman formalism is not restricted to composites containing dilute volume fractions of constituent particles. Numerical investigations highlighted the anisotropy of the HCM and its relation to the shapes of the constituent particles and their volume fractions. Specifically, greater degrees of HCM anisotropy arise from constituent particles whose shapes deviate more from spherical, especially for mid-range volume fractions.

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对由截头球和球体组成的微粒复合材料进行布鲁格曼均质化。
为浸没在单轴介电环境介质中的截顶球体和截顶球体的去极化二项建立了闭式表达式。 这些去极化对偶性被用来开发布鲁格曼均质化形式主义,以预测由随机分布的截顶球体和球体定向粒子混合物产生的均质复合材料(HCM)的相对介电常数对偶性。与其他均质化形式主义(最著名的是麦克斯韦-加内特形式主义)不同,布鲁格曼形式主义并不局限于含有稀释组成颗粒体积分数的复合材料。具体来说,组成颗粒的形状偏离球形的程度越大,HCM 的各向异性就越大,特别是在中等体积分数的情况下。
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来源期刊
Journal of Physics: Condensed Matter
Journal of Physics: Condensed Matter 物理-物理:凝聚态物理
CiteScore
5.30
自引率
7.40%
发文量
1288
审稿时长
2.1 months
期刊介绍: Journal of Physics: Condensed Matter covers the whole of condensed matter physics including soft condensed matter and nanostructures. Papers may report experimental, theoretical and simulation studies. Note that papers must contain fundamental condensed matter science: papers reporting methods of materials preparation or properties of materials without novel condensed matter content will not be accepted.
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