Hashin-Shtrikman bounds on the effective thermal conductivity of a transversely isotropic two-phase composite material
Hashin-Shtrikman bounds on the effective thermal conductivity of a transversely isotropic two-phase composite material
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DOI：
10.1007/s10910-014-0452-8
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发表时间：
2015-03-01
影响因子：
1.7
通讯作者：
Parnell, William J.
中科院分区：
文献类型：
--
作者：
Calvo-Jurado, Carmen;Parnell, William J.
本文研究了横观各向同性两相复合材料的有效导热系数。我们描述的Hashin-Shtrikman界限的第一原理在导电性设置的一般建设。在复合材料设计中，特别感兴趣的是夹杂物的形状及其分布可以独立指定。该案例涵盖了通过采用球体纵横比的各种限制而在应用中使用的多种复合材料，包括层状介质和单向复合材料。此外，由于拉普拉斯方程控制着一个重要的应用范围，例如电导率和介电常数，磁导率等，因此导出的表达式对于许多其他有效性质同样有效。我们用几个例子说明了该计划的实施。
This paper is concerned with the estimation of the effective thermal conductivity of a transversely isotropic two phase composite. We describe the general construction of the Hashin-Shtrikman bounds from first principles in the conductivity setting. Of specific interest in composite design is the fact that the shape of the inclusions and their distribution can be specified independently. This case covers a multitude of composites used in applications by taking various limits of the spheroid aspect ratio, including both layered media and unidirectional composites. Furthermore the expressions derived are equally valid for a number of other effective properties due to the fact that Laplace's equation governs a significant range of applications, e.g. electrical conductivity and permittivity, magnetic permeability and many more. We illustrate the implementation of the scheme with several examples.