Modeling and optimization of the turning parameters of cobalt alloy (Stellite 6) based on RSM and desirability function

  • Riadh Saidi
  • Brahim Ben Fathallah
  • Tarek MabroukiEmail author
  • Salim Belhadi
  • Mohamed Athmane Yallese


The present study consists in identifying the significant effects of various cutting conditions characterizing the machining of the cobalt-based alloy (Stellite 6). For that, an experimental approach based on experimental design was adopted. Predictive models, concerning the evolutions of arithmetic mean roughness, tangential force, material removal rate, and cutting power, were established. Their R2 coefficients are, respectively, 97.15, 99.60, 99.71, and 98.11%. The obtained results demonstrate that both feed rate and insert nose radius are high; the arithmetic mean roughness is getting high. Also, it can be underlined that both depth of cut and feed rate have an important effect on tangential force evolution. Moreover, results demonstrate that depth of cut has the main effect on the evolution of material removal rate and it is followed by cutting speed and feed rate effects. Analysis of variance was applied to find significant cutting parameters affecting surface roughness, tangential force, material removal rate, and cutting power evolutions. A Pareto approach confirms the results obtained by ANOVA. Moreover, a multi-objective optimization based on the desirability function was adopted. The optimization was conducted according to three approaches, which are “quality optimization,” “productivity optimization,” and “quality-productivity combination.”


Cobalt alloy (Stellite 6) ANOVA RSM Turning Optimization Desirability function 


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This project was realized in MAI laboratory (University of Tunis El Manar, ENIT, Tunis, Tunisia) and LMS laboratory (Guelma University, Algeria). The authors express their thanks to the industrial “Paradigm Precision, Tunisia” specialized in complicated manufacturing and high precision for the customers in commercial and military aviation, power generation, and marine industry.


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Copyright information

© Springer-Verlag London Ltd., part of Springer Nature 2018

Authors and Affiliations

  • Riadh Saidi
    • 1
  • Brahim Ben Fathallah
    • 1
    • 2
  • Tarek Mabrouki
    • 1
    Email author
  • Salim Belhadi
    • 3
  • Mohamed Athmane Yallese
    • 3
  1. 1.Applied Mechanics and Engineering Laboratory (LR-11-ES19)University of Tunis El Manar, ENITTunisTunisia
  2. 2.Mechanical, Material and Process Laboratory (LR99ES05) ENSITUniversity of TunisTunisTunisia
  3. 3.Mechanics and Structures Research Laboratory (LMS)May 8th 1945 UniversityGuelmaAlgeria

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