A MODEL FOR THE THERMAL PROPERTIES OF COMPOSITES CONTAINING THE ELLIPSOIDAL INCLUSIONS

摘要

This paper proposes the solutions predicting the coefficient of the thermal expansion changes of composites which include the sphere, the fiber-like shaped and the disk-like shaped inclusions like two dimensional geometries, which has one aspect ratios, ρ_α = a_1/a_3. The analysis follows the procedure developed for elastic moduli by using the generalized approach of Eshelby's equivalent tensor. This model should be limited to analyze the composites with unidirectionally aligned inclusions and with complete binding to each other of both matrix and inclusions having homogeneous properties. As the results, the coefficients of transverse thermal expansion of composites are predicted to increase more than the thermal expansion of polymer matrix for both disc- and fiber-like shape inclusions.