Funct. Mater. 2023; 30 (2): 275-281.
Fractal modeling the mechanical properties of the metal surface after ion-plasma chrome plating
1Kharkiv National Automobile and Highway University, 25 Yaroslava Mudrogo Str., 61002 Kharkiv, Ukraine
2Prydniprovska State Academy of Civil Engineering and Architecture, 24a Chernyshevsky Str., 49000 Dnipro, Ukraine
3Mykolayiv National Agrarian University, 136 Cosmonauts Str., 54031 Mykolaiv, Ukraine
Based on experimental studies, the effect of ion-plasma chrome plating on the wear resistance and mechanical properties of parts has been established, and structural changes in the material have been analyzed. The ion-plasma chrome plating technology ensures chip- and pitting-free operation of the hardened parts and increases their wear resistance by a factor of 1.50 to 1.75. Areas of structural transformation characteristic of secondary hardening phenomena can be observed in the damaged sections. Fractal theory, in particular multifractal analysis using the Renyi equation, has been applied to analyze the non-uniform surface of parts. Models describing the relationship between mechanical properties and multifractal characteristics of the structure are derived: uniformity D600, orderliness (latent periodicity) Δ = D1 - D600, regularity K = D-600 -D600. The adequacy of the models is confirmed by Durbin-Watson statistics at the levels of 2.62 and 3.12. The sensitivity of the investigated multifractal statistical characteristics of cementite to the strength properties σv (0.80) and σ0.2 (0.96), as well as of these characteristics of ferrite to the plastic properties δ (0.97) and ψ (0.97) has been established. The results allow this approach to be used as an express non-destructive testing methodology for predicting the mechanical properties of metallic materials after ion-plasma chrome plating.
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