25 November 2014 Effective conductivity in two-dimensional two-component structures: macroscopic isotropy
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Proceedings Volume 9290, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2014; 92901A (2014) https://doi.org/10.1117/12.2075144
Event: Symposium on Photonics Applications in Astronomy, Communications, Industry and High-Energy Physics Experiments, 2014, Warsaw, Poland
Abstract
In this paper we use the mathematical methods of the homogenization theory to model the electrical conductivity of a two component nanostructure. We consider here a nanocomposite material in the form of a thin plate of negligible thickness compared to the diameter. Hence we assume that our problem is two-dimensional. As an example of such material we choose a carbon-palladium nanocomposite. We use the homogenization theory to study our problem, because of a complex microgeometry of the nanostructures. We show that the effective coefficient, under some assumptions, may be equal to a geometric mean of the coefficients of both components.
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Piotr Kowalczyk, Włodzimierz Bielski, Adam Idzik, "Effective conductivity in two-dimensional two-component structures: macroscopic isotropy", Proc. SPIE 9290, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2014, 92901A (25 November 2014); doi: 10.1117/12.2075144; https://doi.org/10.1117/12.2075144
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