Effective thermal conductivity of two-phase functionally graded particulate composites

H. M. Yin, G. H. Paulino, W. G. Buttlar, L. Z. Sun

Research output: Contribution to journalArticlepeer-review

Abstract

A multiscale modeling method is proposed to derive effective thermal conductivity in two-phase graded particulate composites. In the particle-matrix zone, a graded representative volume element is constructed to represent the random microstructure at the neighborhood of a material point. At the steady state, the particle's averaged heat flux is solved by integrating the pairwise thermal interactions from all other particles. The homogenized heat flux and temperature gradient are further derived, through which the effective thermal conductivity of the graded medium is calculated. In the transition zone, a transition function is introduced to make the homogenized thermal fields continuous and differentiable. By means of temperature boundary conditions, the temperature profile in the gradation direction is solved. When the material gradient is zero, the proposed model can also predict the effective thermal conductivity of uniform composites with the particle interactions. Parametric analyses and comparisons with other models and available experimental data are presented to demonstrate the capability of the proposed method.

Original languageEnglish (US)
Article number063704
JournalJournal of Applied Physics
Volume98
Issue number6
DOIs
StatePublished - Sep 15 2005

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Fingerprint

Dive into the research topics of 'Effective thermal conductivity of two-phase functionally graded particulate composites'. Together they form a unique fingerprint.

Cite this