Two Step Homogenization of Effective Thermal Conductivity for Macroscopically Orthotropic C/C composites

Jan Vorel, Jan Sýkora, Michal Šejnoha


An efficient approach to the evaluation of effective thermal conductivity of carbon-carbon (C/C) plain weave textile composites using the Mori-Tanaka method is presented. The method proves its potential even if applied to real orthotropic material systems with various types of imperfections including the non-uniform waviness of the fibre-tow paths. These are typically introduced in terms of histograms of the distribution of inclination angles. Uncertainties linked to other geometrical parameters are mostly reflected in the derivation of an optimal shape of the equivalent ellipsoidal inclusion using a family of ideal periodic unit cells. Evaluation of the effective properties in the absence of pores is presented first. Ellipsoidal pores are then introduced in the second step into a new homogenized matrix to account for the presence of large vacuoles in the composite. Several examples are presented to demonstrate this approach.


carbon-carbon plane weave composites, Mori-Tanaka method, orthotropic material

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ISSN 1801-1217 (Print)
ISSN 1805-9422 (Online)
Published by the Czech Technical University in Prague, Faculty of Mechanical Engineering