OBRABOTKAMETALLOV Vol. 23 No. 3 2021 MATERIAL SCIENCE EQUIPMENT. INSTRUMENTS 5 4 3 points) in the developed mathematical models that fall within the parameters chosen in the current study, minimum and maximum limits of response functions are obtained. One-sided transformation for different responses for PVD-AlTiN coated (C), PVD-AlTiN coated-microblasted (CMB), and MTCVD-TiCN/Al2O3 (MTCVD) tools can be represented considering the lower and higher limits of the respective responses. One-sided transformation for different responses for PVD-AlTiN coated (C) tools (Eqs. 18–22), PVDAlTiN coated-microblasted (CMB) tools (Eqs. 23–27), and MTCVD-TiCN/Al2O3 coated tools (MTCVD) (Eqs. 28–32) are given in tables 8, 9, 10, respectively. For each level of independent parameters, DFc, DFf, DFr, Dra and DT were calculated using Eqs. 18–22 for PVD-AlTiN coated tools, Eqs. 23–27 for PVD-AlTiN coated-microblasted tools, and Eqs. 28–32 for MTCVD-TiCN/Al2O3 coated tools. Then, a single desirability function, DM was calculated by substituting DFc, DFf, DFr, Dra and DT in Eq. 17. The optimal parameter was chosen based on the solution with the highest desirability (DM). In the present study a family of optimal solutions having single desirability function (DM) of above 0.9 are selected and are shown in tables 11, 12, and 13 for PVD-AlTiN coated (C) tools, PVD-AlTiN coatedmicroblasted (CMB) tools, and MTCVD-TiCN/Al2O3 coated tools, respectively. In the present study, V = 200–290 m/min, f = 0.05–0.055 mm/rev, and d = 0.1–0.12 mm were found to be the optimal parameters when using PVD-AlTiN coated (C) tools and MTCVD-TiCN/Al2O3 coated tools. However, V = 200–320 m/min, f = 0.05–0.055 mm/rev and d = 0.1–0.12 mm, are the optimal cutting condition when using PVD-AlTiN coated-microblasted (CMB) tools. The optimization study reveals that in comparison with C-coated and CMB-coated tools, when turning AISI 304 stainless steel with MTCVD coated tools, the cutting forces are significantly less and amount to 18–27 N, and the minimum surface roughness reaches 0.3–0.44 µm, while the tool life increases to 36–51 min. Ta b l e 8 One-sided transformation for PVD-AlTiN coated (C) tools Desirability for tangential cutting force (DFc) (Eq. 18) Desirability for feed force (DFf) (Eq. 19) max min max max min 0, 128.3 , 1, 24.5 i i c c c c c c c c c c F F F DF F F F F F F ≥ − = ≤ ≤ − ≤ max min max max min 0, 71.1 , 1, 8.7 i i f f f f f f f f f f F F F DF F F F F F F ≥ − = ≤ ≤ − ≤ Desirability for radial force (DFr) (Eq. 20) Desirability for surface roughness (DRa) (Eq. 21) max min max max min 0, 21 , 1, 7.8 i i r r r r r r r r r r F F F DF F F F F F F ≥ − = ≤ ≤ − ≤ max min max max min 0, 1.46 , 1, 0.2 i i a a a a a a a a a a R R R DR R R R R R R ≥ − = ≤ ≤ − ≤ Desirability for tool life (DT) (Eq. 22) min min max max min 0, 5.82 , 1, 37.7 i T i T T T D T T T T T T ≤ − = ≤ ≤ − ≥
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