Analytical Description of the Kinetic Processes of Forming the Properties of Composites

Abstract

Abstract Effective methods are proposed for approximating the kinetic processes of formation of physical and mechanical characteristics of composite materials for solving problems of both single-criterion and multi-criteria optimization of their structure and properties. The approximation of kinetic processes on a given interval with the definition of partial intervals of the maximum length approximation is considered in detail. An approximation algorithm on cubic splines is given. To determine the transfer functions of composites, as dynamic systems with many inputs and outputs, it is recommended to use Laguerre polynomials. The possibility of a cognitive approach is also not excluded with the direct selection of the form of the approximating function.