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首页> 外文期刊>Journal of Physics, D. Applied Physics: A Europhysics Journal >THERMAL CONDUCTIVITY OF POLYDISPERSE COMPOSITES WITH PERIODIC MICROSTRUCTURES
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THERMAL CONDUCTIVITY OF POLYDISPERSE COMPOSITES WITH PERIODIC MICROSTRUCTURES

机译：具有周期性微结构的多分散复合材料的热导率

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摘要

A method is developed to treat the effective thermal conductivity of periodic composites whose inclusions are of different sizes or of different thermal conductivities. Based on the Green's function formalism, the effects of induced heat sources on inclusion boundaries are explicitly taken into account, and a set of Rayleigh identities are established. Hence the temperature distribution in a polydisperse composite and its effective thermal conductivity can be evaluated with very high accuracy. The method is applied to two-dimensional polydisperse systems with cylindrical inclusions as well as to three-dimensional ones with spherical inclusions. Illustrative calculations of the effective thermal conductivity are presented for both isotropic and anisotropic systems. The application of the method is further exemplified by an analytical formula for the effective thermal conductivity of a composite which possesses a square symmetry and contains two different kinds of inclusions. The numerical calculations have been carried out for two-dimensional systems. [References: 35]
机译：开发了一种方法来处理包含不同尺寸或不同导热率的周期性复合材料的有效导热率。基于格林函数形式主义，明确考虑了感应热源对夹杂物边界的影响，并建立了一组瑞利恒等式。因此，可以以非常高的精度评估多分散复合材料中的温度分布及其有效的热导率。该方法适用于带有圆柱形夹杂物的二维多分散体系以及带有球形夹杂物的三维多分散体系。对于各向同性和各向异性系统，均提供了有效热导率的说明性计算。该方法的应用通过具有正方形对称性并且包含两种不同夹杂物的复合材料的有效导热率的解析公式进一步举例说明。已经对二维系统进行了数值计算。 [参考：35]

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