理想导体规则阵列有效电导率的交叉特性

IF 1.2 4区工程技术 Q3 MATERIALS SCIENCE, CHARACTERIZATION & TESTING

Archives of Mechanics Pub Date : 2014-07-28 DOI:10.24423/AOM.1301

S. Gluzman, V. Mityushev, W. Nawalaniec

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引用次数: 10

摘要

我们提出了一个精确的表达式，用于理想导电圆柱体的规则方晶格排列的有效电导率，适用于任意浓度。该公式在两个渐近表达式之间平滑地插入了低浓度和高浓度的圆柱体。提出了与临界现象的类比，并将其应用于计算超长浓度膨胀的超导临界指数和粒子相阈值。所得公式适用于包括接触柱在内的所有浓度，完全高精度地解决了方阵的有效电导率问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Cross-properties of the effective conductivity of the regular array of ideal conductors

We present an accurate expression for the effective conductivity of a regular square-lattice arrangement of ideally conducting cylinders, valid for arbitrary concentrations. The formula smoothly interpolates between the two asymptotic expressions derived for low and high concentrations of the cylinders. Analogy with critical phenomena is suggested and taken to the extent of calculating the superconductivity critical exponent and the particle-phase threshold from the very long expansions in concentration. The obtained formula is valid for all concentrations including touching cylinders, hence it completely solves with high accuracy the problem of the effective conductivity for the square array.

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来源期刊

Archives of Mechanics 工程技术-材料科学：表征与测试

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： Archives of Mechanics provides a forum for original research on mechanics of solids, fluids and discrete systems, including the development of mathematical methods for solving mechanical problems. The journal encompasses all aspects of the field, with the emphasis placed on: -mechanics of materials: elasticity, plasticity, time-dependent phenomena, phase transformation, damage, fracture; physical and experimental foundations, micromechanics, thermodynamics, instabilities; -methods and problems in continuum mechanics: general theory and novel applications, thermomechanics, structural analysis, porous media, contact problems; -dynamics of material systems; -fluid flows and interactions with solids. Papers published in the Archives should contain original contributions dealing with theoretical, experimental, or numerical aspects of mechanical problems listed above. The journal publishes also current announcements and information about important scientific events of possible interest to its readers, like conferences, congresses, symposia, work-shops, courses, etc. Occasionally, special issues of the journal may be devoted to publication of all or selected papers presented at international conferences or other scientific meetings. However, all papers intended for such an issue are subjected to the usual reviewing and acceptance procedure.