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2020

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vol. 18 / 

Issue 4

 



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V. G. Rezanova, N. M. Rezanova
«Mathematical Modelling and Software Development to Optimize the Composition of Four-Component Nanofilled Systems»
0863–0874 (2020)

PACS numbers: 07.05.Tp, 61.41.+e, 61.46.-w, 81.05.Zx, 81.07.Nb, 82.35.Np, 89.20.Bb

With the application of the simplex-centroid method, a plan of experiments in the studied area of factor space for the four-component heterogeneous systems is developed. The required number of points in a plan is 14. The placement of points-candidates in a simplex is performed by means of the McLeanľAnderson algorithm. To calculate the coordinates of the experiment-plan points, a program is developed in Delphi environment. The results of the experiments created a mathematical model in the form of a set of regression equations, which establishes the relationship between the content of ingredients and the properties of the four-component composition. The optimization of the composition of polypropylene/copolyamide (PP/CPA) mixture, which contains silica as a nanofiller and silicone substance as a compatibilizer, is performed using the generalized Harrington criterion. As found, the combined action of both modifying additives with a total content of 2.0 wt.% allows to realize the process of formation of the PP microfibrils within the CPA matrix and to increase the concentration of dispersed-phase component to almost 45 wt.%. Complex polypropylene filaments obtained from composition with optimized percentage are characterized by high strength, self-abrasion resistance, and hygroscopicity.

Keywords: simplex-centroid design, plan of experiment, software, mathematical model, four-component system

https://doi.org/10.15407/nnn.18.04.863
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