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

Abstract:

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.

• Periodical: Materials Science Forum (Volumes 631-632)
• Pages: 127-132
• DOI: https://doi.org/10.4028/www.scientific.net/MSF.631-632.127
• Online since: October 2009
• Authors: M. Zhang, Peng Cheng Zhai, Qing Jie Zhang
• Keywords: Effective Thermal Conductivity, Micromechanics Model, Multiphase Composite, Thermal Contact Resistance

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[30] [32] [34] [36] [38] [40] [42] [44] [46] Effective Thermal Conductivity k* (W/mK) Particle Radius of Phase-3 (mm) Perfect contact C=100W/m2K C=50W/m2K C=10W/m2K Fig. 3 Variation of effective conductivity with change in particle radius of phase-3 0. 0 0. 1 0. 2 0. 3 0. 4 0. 5.

[30] [35] [40] [45] [50] [55] [60] [65] [70] Volume Fraction of Phase-3 Fig. 2 Variation of effective conductivity with change in volume fraction of phase-3 Effective Thermal Conductivity k* (W/mK) Perfect contact C=105W/m2K C=104W/m2K C=5×103W/m2K C=103W/m2K C=102W/m2K C=0.