Formalization of the process and development of an algorithm for solid-phase mixing of components of a heterogeneous composite material

The article considers one of the approaches to modeling the process of mixing of polydisperse powders, which includes three main fractions of different sizes, the shape of which is close to spherical. The work is aimed at reducing material costs at the stage of development of mixing processes by reducing the number of experiments. Aiming to obtain the most uniform mixing with the minimum time of the technological process, the model is based on the target function for a certain number of iterations of mixing of the composition to obtain the required (maximum possible) density of the package of mixed solid particles.

To develop a model of the mixing process, one of the heuristic algorithms – the “metal annealing method” – was used. As a representative element of the model, an elementary cell in the form of several hexagonal densely. Packed particles around one introduced into the composition of the composite material (in a small amount, from 5 to 15 %) as a modifier was adopted. The mo del is formalized with the condition of averaging the particle sizes within each fraction, as well as the morphology of their surface. The number of particle repackaging iterations is calculated by the probability of obtaining the minimum amount of voids in the representative element and the uniformity of distribution of the modifying element.

Comparison of the values obtained during the simulation with the measured values of the mixing results on a specific mixer will form a scale of compliance of the simulation results with the operating modes of the process equipment. This will make it possible to predict the appropriate mixing modes at the stage of development of the technological process with the possible system of fluctuations in the characteristics of the supplied raw materials and, thereby, to create a methodological basis for the formation of quality management of manufacturing heterogeneous composite material. The model can be adapted for polydisperse powders with the content of the main fractions of more than three.

1. Ilyushchanka A. Ph., Kryvanos A. K., Piatsiushyk Ya. Ya., Smirnov G. V. Energy­saturated heterogeneous compositematerials on a polymer base. Some development issues and ways to solve them. Poroshkovaya metallurgiya: Respublikanskii mezhvedomstvennyi sbornik nauchnykh trudov [Powder Metallurgy: Republican Inter­Institutional Collection of Scientific Papers]. Minsk, Belaruskaya navuka Publ., 2016, Issue 39, pp. 12–16 (in Russian).

2. Ilyushchanka A. Ph., Kryvanos A. K., Piatsiushyk Ya. Ya., Smirnov G. V. Increasing the density of the solid phase packing of a heterogeneous composite material. The main problems and ways to solve them. Poroshkovaya metallurgiya: Respublikanskii mezhvedomstvennyi sbornik nauchnykh trudov [Powder Metallurgy: Republican Inter­Institutional Collection of Scientific Papers]. Minsk, Belaruskaya navuka Publ., 2017, Issue 40, pp. 42–47 (in Russian).

3. Krivonos O. K. Modeling the process of mixing energy­saturated composite material based on genetic algorithm. Sbornik nauchnykh statei Voennoi akademii Respubliki Belarus’ [Collection of scientific articles of the Military Academy of the Republic of Belarus], 2017, Issue 33, pp. 90–97 (in Russian).

4. Kirkpatrick S., Gelatt Jr. C. D., Vecchi M. P. Optimization by Simulated Annealing. Science, 1983, vol. 220, no. 4598, pp. 671–680. https://doi.org/10.1126/science.220.4598.671

5. Ilyushchanka А. Ph., Piatsiushyk Ya. Ya., Kryvanos A. K. Modification of the energy­saturated heterogeneous composite material by cyclic nitramines. Vestsi Natsyyanal’nai akademii navuk Belarusi. Seryya fizika-technichnych navuk = Proceedings of the National Academy of Sciences of Belarus. Physical-technical series, 2018, vol. 63, no. 1, pp. 27–33 (in Russian). https://doi.org/10.29235/1561-8358-2018-63-1-27-33

6. Lopatin A. S. Method of annealing. Available at: http://www.math.spbu.ru/user/gran/sb1/lopatin.pdf (Accessed 9 March 2018) (in Russian).