Multifactor model for optimizing the composition of a complex flame retardant for polyamide-6
DOI:
https://doi.org/10.33408/2519-237X.2026.10-1.65Keywords:
theoretical modeling, regression analysis, discriminant analysis, non-toxic multicomponent flame retardants, fire-resistant polyamide compositesAbstract
Purpose. Development of an adequate mathematical model of the composition of a complex flame retardant for polyamide-6 with a given reduction limit and its application to determine the optimal characteristics of the flame retardant composition (ensuring fire resistance of the resulting composite material of category PV-0 and a reduction in the main physical and mechanical characteristics by no more than 8–10 % compared to the original polyamide).
Methods. Theoretical methods of statistical analysis of the experimental results were used to obtain a regression model and test its statistical significance and adequacy as well the method of cross-sections of the discriminant function in the plane of the most important factors identified by regression analysis. Statistica (TIBCO Software Inc.) and PTC Mathcad Prime (PTC Inc.) were used for calculations.
Findings. An experimental study and statistical analysis of the obtained data were conducted. Using regression and discriminant analysis methods, a multi-level mathematical model was developed. This model describes the dependence of the fire resistance parameters and mechanical properties of a fire-resistant polymer composite on the total concentration of a complex flame retardant in the polyamide matrix and the relative content of its five components. The coefficients in the regression equation were determined. A comprehensive mathematical model was developed that allows for the identification of the optimal composition of a multi-component flame retardant, taking into account the priority values of the fire-resistant polymer composite's performance parameters.
Application field of research. The developed mathematical model allows us to determine the optimal composition of a complex flame retardant for heat-proof polymers and its concentration in a polymer composite in accordance with the requirements for its most important operational parameters: fire resistance of category PV-0 with a minimal reduction in physical and mechanical properties.
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