Abstract
Macroscopic thermoelastic constitutive equations are derived for random fibrous composite systems with statistically homogeneous distribution of fibers. In particular, the graphite fiber tow embedded in the polymer matrix is selected here as a representative of the two-phase disordered composite media. Random character of fibers arrangement, typical for such material systems, is conveniently described by the two-point probability function. When used with the Hashin-Shtrikman variational principles this function provides sufficient information for obtaining bounds on the thermo-elastic material properties of real composites with statistically homogeneous microstructure. A suitable method to solve the resulting integral equations is proposed.
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