Polímeros: Ciência e Tecnologia
Polímeros: Ciência e Tecnologia
Original Article

Application of metric entropy to determine properties of structural materials

Garbacz, Grzegorz; Kyzioł, Lesław

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Composite materials have nowadays become a group of construction materials whose application in mechanical structure designing has been constantly increasing. There is therefore a real demand for an objective opinion on the mechanical properties of composites. According to the authors, determining those properties based on the recommended methods included in current standards requires objectivization. The difficulty is that those methods are usually based on the geometrical shape of stress curves in the strain function. The study proposes an new method of testing the mechanical properties of composites through analyzing the internal dynamics of measurement data based on uniaxial stretching tests. A tool in such an analysis is determining the Kolmogorov-Sinai metric entropy values of measurement data. Nine samples of composite materials having various compositions have been tested. In selecting these materials, the focus has been on the possibility of introducing composite recyclates as their structural components.


designing materials; Kolmogorov-Sinai metric entropy; mechanical properties; recycling; stretching curve.


1 Ochelski, S. (2004). Experimental methods of mechanics incomposite materials research Metody doświadczalne mechaniki kompozytów konstrukcyjnych, Warszawa: Wydawnictwo Naukowo-Techniczne. 

2 Szymczak, T., & Kowalewski, Z. L. (2014). Mechanical properties of selected composites and methods of their fracture assessment. Transport Samochodowy4, 33-54. 

3 Mishnaevsky, L. Jr, Mikkelsen, L. P., Gaduan, A. N., Lee, K.-Y., & Madsen, B. (2019). Nanocellulose reinforced polymer composites: computational analysis of structure-mechanical properties relationships. Composite Structures224, 111024-111032. http://dx.doi.org/10.1016/j.compstruct.2019.111024

4 Jong, L. (2019). Improved mechanical properties of silica reinforced rubber with natural polymer. Polymer Testing79, 106009. http://dx.doi.org/10.1016/j.polymertesting.2019.106009

5 Kumar, G. N., Kumar, C. S., & Seshagiri Rao, G. V. R. (2019). An experimental investigation on mechanical properties of hybrid polymer nanocomposites. Materials Today: Proceedings19(2), 691-699. http://dx.doi.org/10.1016/j.matpr.2019.07.755

6 Rutecka, A., Kowalewski, Z. L., Makowska, K., Pietrzak, K., & Dietrich, L. (2015). Fatigue damage of Al/SiC composites – Macroscopic and microscopic analysis. Archives of Metallurgy and Materials60(1), 101-105. http://dx.doi.org/10.1515/amm-2015-0016

7 Błędzki, A. K., Gorący, K., & Urbaniak, M. (2012). Possibilities of recycling and utilization of the polymeric materials and composite products. Polimery57(9), 620-626. http://dx.doi.org/10.14314/polimery.2012.620

8 Dietrich, L., & Garbacz, G. (2008). Chaos taken into account in measurement of physical quantities. In: Proceedings of the 25th Danubia-Adria Symposium on Advances in Experimental Mechanics (p. 53-54). České Budějovice and Český Krumlov, Czech Republic: Czech Technical University in Prague Faculty of Mechanical Engineerin. 

9 Garbacz, G. (2009). Processing of experimental data taking into account their chaotic nature (Doctoral thesis). Institute of Fundamental Technological Research Polish Academy of Sciences, Warsaw, Poland.

10 Garbacz, G., & Kyzioł, L. (2014). Determination of yield point of structural materials with using the metric entropy. Journal of KONES Powertrain and Transport21(3), 97-104. http://dx.doi.org/10.5604/12314005.1133176

11 Garbacz, G., & Kyzioł, L. (2017). Application of metric entropy for results interpretation of composite materials mechanical tests. Advances in Materials Science17(1), 70-81. http://dx.doi.org/10.1515/adms-2017-0006

12 Panasiuk, K., & Hajdukiewicz, G. (2017). Production of composites with added waste polyester-glass with their initial mechanical properties. Scientific Journals of the Maritime University of Szczecin57(124), 30-36. http://dx.doi.org/10.17402/242

13 Kolmogorov, A. N. (1959). Entropy per unit time as a metric invariant of automorphism. Doklady of Russian Academy of Sciences124, 754-755. 

14 Sinai, Y. G. (1959). On the notion of entropy of a dynamical system. Doklady of Russian Academy of Sciences124, 768-771. 

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