Physical aspects of self-organization processes in composites. 2. The structure and interaction of inner boundaries

TL;DR

This paper investigates the physical mechanisms of self-organization in composite materials, focusing on the structure and interactions of inner boundaries, using mathematical models to analyze force fields and structural generation.

Contribution

It introduces a multiscale boundary interaction model and derives analytical expressions for force fields in complex fractal-like structures.

Findings

Analytical expressions for force fields in Sierpinski prefractal structures.

Insights into the generation of composite structures during asymptotic processes.

Modeling of oscillatory interactions of inner boundaries.

Abstract

A model of the oscillatory component of interaction of inner boundaries is studied; and the features of generation of the composite structure in interim asymptotics are considered. A model of a multiscale net of inner boundaries was used to obtain analytical expressions for calculating the force fields of the Sierpinski prefractal and its modifications.