scholarly journals Prediction of effective thermal conductivity of multiphase composites with periodic microstructures using an expanded micromechanical model

2022 ◽  
Vol 171 ◽  
pp. 107226
Author(s):  
Eduardo Nobre Lages ◽  
Severino Pereira Cavalcanti Marques
Keyword(s):  
Thermal Conductivity ◽  
Effective Thermal Conductivity ◽  
Micromechanical Model ◽  
Multiphase Composites ◽  
Periodic Microstructures

The Effective Conductivity of Multiphase Composites with Imperfect Thermal Contact at Constituent Interfaces

2009 ◽  
Vol 631-632 ◽  
pp. 127-132
Author(s):  
M. Zhang ◽  
Peng Cheng Zhai ◽  
Qing Jie Zhang
Keyword(s):  
Thermal Conductivity ◽  
Effective Thermal Conductivity ◽  
Effective Conductivity ◽  
Thermal Contact ◽  
Spherical Particles ◽  
Particulate Composites ◽  
Imperfect Contact ◽  
Matrix Embedding ◽  
Three Phase ◽  
Multiphase Composites

This paper studies the effective thermal conductivity of multiphase composite in which a thermal boundary resistance exists at constituent interfaces. Based on the theoretical framework of conductivity for binary system composites in the presence of a thermal contact resistance between matrix and inclusion given by Y. Benveniste and T. Miloh (1986), the fundamental concept is generalized for the case of multiphase composites with imperfect contact which permits a temperature discontinuity between matrix and inclusions of different phases. A micromechanics model, the “generalized self-consistent scheme (GSCS)” based on a particle-matrix embedding in the effective medium, is generalized to evaluate the effective conductivity of multiphase medium with imperfect thermal contact at constituent interfaces. Numerical results are given for three-phase particulate composites with spherical particles to illustrate the effect of imperfect interfaces on the effective thermal conductivity of multiphase composites.

Effective Thermal Conductivity of Functionally Graded Composite with Arbitrary Geometry of Particulate

2005 ◽  
Vol 297-300 ◽  
pp. 1522-1528 ◽  
Author(s):  
Mei Zhang ◽  
Peng Cheng Zhai ◽  
Qing Jie Zhang
Keyword(s):  
Thermal Conductivity ◽  
Effective Thermal Conductivity ◽  
Spherical Inclusion ◽  
Micromechanical Model ◽  
Functionally Graded ◽  
Local Fields ◽  
Particulate Composites ◽  
Infinite Matrix ◽  
Arbitrary Geometry ◽  
Self Consistent

In this paper, a new micromechanical method, the Weighted Residual Self-consistent Scheme (WRSCS), is developed for the prediction of the effective thermal conductivity of particulate composites with arbitrary configurations. The method is based on the concept of the traditional Self-consistent Scheme (SCS). For some special configurations of inclusions, such as spherical or ellipsoidal, the effective conductivity of the composite can be solved without much difficulty using SCS. But for the composite with inclusion of arbitrary geometry, such as polygon or other irregular configurations, it is difficult to get an analytic solution. In the WRSCS, the arbitrary inclusion configuration is modeled by applying collocation points at interface. Based on SCS micromechanical model, the local fields inside the inclusion can be evaluated by using the solution of a single inclusion in an infinite matrix and inclusion interaction is taken into account through the yet unknown average equivalent medium. The solution for calculating the potential field inside the inclusion is obtained by means of Weighted Residual Method (WRM). Using the WRSCS, the effective thermal conductivities for composites with different inclusion’s geometry are calculated. For the case of spherical inclusion, the results from the WRSCS show good agreements with the one from traditional SCS [7, 8]. Examining results corresponding to different inclusion’s geometry, it shows that the effective thermal conductivity depends not only on the volume fractions and the properties of components, but also on the inclusion’s configuration.

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