Multifractal approach to assessing the heterogeneity of carbon alloys

A multifractal structural analysis of carbon alloy structures after multi-stage flow processing was carried out. The statistical dimensions of the D-300 structure varied from 4.18 to 2.47, indicating the compactness of filling the space with martensite, bainite and pearlite. Indicators of the statistical dimension of cementite in the range from 2.18 to 1.55 characterize the dimension of the D300 structure. The fractal D0, information D1, correlation D2 dimensions of martensite, bainite, pearlite also varied in the range from 2.66 to 2.13, indicating the heterogeneity of the structure. A one-to-one correspondence between the multifractal indicators of the structure and the hardness of the iron-carbon alloy was established.