Mathematical modeling of the influence of nickel content on the hardness characteristics of malleable cast iron

Mathematical modeling makes it possible to optimize various technological processes and to analyze research results from a theoretical perspective. In this paper, the effect of modifying malleable cast iron with nickel on its hardness is mathematically modeled. For this purpose, cast iron was first modified with nickel in induction furnaces and samples were cast. The obtained samples were then subjected to heat treatment to produce malleable cast iron. The hardness of the samples produced with different nickel contents was measured using an HXS-1000Z hardness tester. Based on the obtained results, a graph was constructed showing the relationship between the nickel content introduced into the cast iron and the measured hardness values. This graph served as the basis for mathematical modeling. Using the polynomial function developed in the mathematical model, it becomes possible to determine the hardness of cast iron modified with various amounts of nickel. This, in turn, allows the hardness of the alloy to be theoretically predicted using this formula without conducting further experiments.