Simulation of analytical calculations when optimizing integrative properties and composite metal coatings

Abstract

In this work, a nonlinear multidimensional regression-tensor (valence 3) model is constructed and investigated for the analytical substantiation of the necessary / sufficient conditions for optimizing the technological calculation of the multifactor physicochemical process of hardening complex composite media of metal coatings. An adaptive-a posteriori procedure for the parametric formation of the target functional of the quality of the integrative physical and mechanical properties of the designed metal coating is proposed. The results of the study can serve as the basic elements of the mathematical language in the creation of automated design of precision nanotechnologies for hardening the surfaces of complex composite metal coatings on the basis of group accounting of multifactorial tribological, as well as anti-corrosion, tests. In this case, the main goal is not so much the formal accuracy of inferences, but rather the clarity of concepts in the development of general problems of tribology associated with precision modeling of nanostructures of complex composite metal coatings. The multivariate regression-tensor model for tribological / anti-corrosion tests is substantiated by means of the least squares identification of multivariate nonlinear regression equations with the minimum tensor norm. This approach, due to the abundance of available computational problems, as well as due to the possibilities that it opens up for applications of nonlinear multivariate regression tensor analysis, can acquire great (extended) significance in the problems of precision multifactorial nonlinear optimization of physicochemical processes. strengthening of complex composite metal coatings and metamaterials.