Analysis of the structure formation processes of building composites by geometric methods

The work considers a method of structure formation modeling in composite materials based on geometric methods. For this purpose, a differential system is written for the fractions of the volume, surface, linear and point phase of the structure forming components of the material. To study it, a decomposition into a gradient and generalized-conservative component was used. Approaches to modeling of the processes of structure formation and destruction based on the theory of gradient systems, which take into account the structural potentials for the surface and volumetric components of the composite material, were proposed. The hypothesis according to which the formation of a high-strength structure of the material is associated with the implementation of the oscillatory mode for the indicator of the fraction of the volumetric phase was proposed. The mechanism of increasing the strength of the composite binder dough based on the selective preservation of the strongest intercrystalline contacts was discussed.