Mathematics

Construction of mathematical models of heterogeneous structures using the decomposition approach

V. I. Volchikhin, D. V. Artamonov

Penza State University, Penza

Abstract: The article introduces a decompositional approach to mathematical modeling of heterogeneous strucutures, based on solving the equations of deformed body dynamics in linear approximation. Dynamics differential equations are reduced by means of partial integration into integral projection form which would enable to obtain a rectangular-parallelepiped-shaped matrix of self-contained unit conductivity with elastic filling and Floke channels on the facets. The authors have developed a method of self-contained unit decomposition.

Keywords: mathematical model, heterogeneous structures, Floke channels, recomposition.

UDC: 535.32