摘要

The analysis of two-point correlation functions for a quasiperiodic structure and polydisperse statistical mixture is discussed. The conclusion is drawn that normalized correlation functions of a polydisperse statistical mixture are close to special correlation functions used in the method of periodic components for solution of a stochastic boundary-volume problem in the elasticity theory, especially at high values of filling of composite by inclusions. This made it possible to specify the analytical solution obtained previously for a tensor of effective elastic properties of a quasiperiodic composite in the singular approximation of the method of periodic components (Pankov and Tashkinov, 1992). The results of numerical calculations and their comparison with the known experimental data for the Young modulus in the transversal plane of unidirectional glass fiber plastic have confirmed the new approach to a known solution (Pankov and Tashkinov, 1992).