Effective properties of statistically
homogeneous random composites
by
J. Zeman, J. Sejnoha and M. Sejnoha
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.
Last modified: Nov 4 2000