A New Approach to Predict the Thermal Conductivity of Composites with Coated Spherical Fillers and Imperfect Interface

Abstract

An examination of the concept of a microgeometry proposed by Benveniste reveals that the thermal conductivity of the concentric sphere adopted by generalized self-consistent model (GSCM) is equal to that of the composite. It is also noted that the thermal conductivities of the composite with spherical fillers predicted by GSCM and modified Eshelby model (MEM) are the same. These equivalencies enable to propose a simple and alternative approach for determining the thermal conductivity of the composite with multiply coated spherical fillers by applying MEM repeatedly. The present result is compared and shows the exact agreement with the results from literatures.

A new approach to modeling the effective thermal conductivity of ceramics porous media using a generalized self-consistent method

“…Landauer developed a model to predict effective thermal conductivity of porous media which is defined as a mixture of two phases [4][5][6][7]. The percolation model assumes a completely random distribution of solid and gas that is equivalent to an Effective Medium Theory (EMT) [8][9][10]. Kou et al [3] proposed a self-similar fractal model.…”

Thermal conductivity of metal matrix composites with coated inclusions: A new modelling approach for interface engineering design in thermal management

“…In this regard, there are some pioneering works that have followed mainly two modelling approaches. One approach is to consider the interface as a third phase material and to then derive exact solutions based on a mean-field scheme [5,6]. This approach uses plausible yet no rigorous assumptions.…”

“…where q is the fraction of phonons within a critical angle of incidence, p is the transmission probability of phonons within the critical angle of incidence fraction, and Z (Z=ρv) is the acoustic impedance. The subscripts ''in'' and ''tran'' in Equations (5)(6) refer to the incident and transmitted sides of the phonons, respectively. v´ is defined as follows:…”

Thermal conduction in bi-layer materials with an interfacial inclusion

“…The high-temperature gradient results in high thermal stresses, which may cause de-bonding of the interface, thus reducing the function and reliability of the systems. A better understanding of temperature and thermal flux distributions in the bonded media is critical in many applications.In the literature, numerous studies have been reported on the investigation of thermal conduction in particle composites and multi-layered media [1][2][3][4][5][6][7][8][9][10]. To the authors' best knowledge, the thermal behavior of bi-layer materials with an interface inclusion has not been investigated for finite media.…”