Zawada Anna, Przerada Iwona, Lubas Małgorzata, Sitarz Maciej, Leśniak Magdalena
Department of Materials Engineering, Faculty of Production Engineering and Materials Technology, Czestochowa University of Technology, 42-201 Czestochowa, Poland.
Department of Silicate Chemistry and Macromolecular Compounds, Faculty of Materials Science and Ceramics, AGH University of Science and Technology, 30 Mickiewicza Av., 30-059 Krakow, Poland.
Materials (Basel). 2021 May 18;14(10):2651. doi: 10.3390/ma14102651.
This paper uses mathematical methods as the basic tool at the stage of experiment planning. The importance of research programming applications was shown using the theory of experiments and the STATISTICA software. The method of experiment planning used in the case of studying the properties of a mixture, depending on its composition, features considerable complexity. The aim of the statistical analysis was to determine the influence of variable chemical composition of waste materials on selected properties of glass-ceramic materials. A statistical approach to multicomponent systems, such as ceramic sets, enables the selection of appropriate amounts of raw materials through the application of 'a plan for mixtures'. To utilize the raw waste materials, e.g., slags from a solid waste incinerator, fly or bottom ashes, in the modeling of new materials, a mathematical relationship was developed, which enables estimating, based on the waste chemical composition, selected technological and practical properties of the glass so as to obtain a material featuring the required technological-practical parameters. For the obtained glasses, a comparative analysis of the experimentally and computationally determined properties was carried out: transformation temperature, liquidus temperature, density, and thermal expansion coefficient. The obtained high theoretical approximation (at the level of determination correlation coefficient R > 0.8) confirms the suitability of the polynomial model for mixtures for applications in the design of new glass-ceramic products.
本文在实验规划阶段使用数学方法作为基本工具。运用实验理论和STATISTICA软件展示了研究规划应用的重要性。在研究混合物性质（取决于其成分）的情况下所采用的实验规划方法具有相当大的复杂性。统计分析的目的是确定废料化学成分的变化对微晶玻璃材料选定性能的影响。对于多组分系统（如陶瓷组）的统计方法，通过应用“混合物计划”能够选择合适的原材料用量。为了在新型材料建模中利用原始废料，例如固体废物焚烧炉的炉渣、飞灰或底灰，建立了一种数学关系，该关系能够基于废料的化学成分估算玻璃的选定工艺和实际性能，从而获得具有所需工艺 - 实际参数的材料。对于所制备的玻璃，对实验测定和计算确定的性能进行了对比分析：转变温度、液相线温度、密度和热膨胀系数。所获得的高理论近似值（在测定相关系数R > 0.8的水平）证实了混合物多项式模型在新型微晶玻璃产品设计应用中的适用性。
