American Journal of Theoretical and Applied Statistics

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Desirability and Design of Experiments Applied to the Optimization of the Reduction of Decarburization of the Process Heat Treatment for Steel Wire Sae 51B35

Received: 26 December 2017    Accepted: 10 January 2018    Published: 23 January 2018
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Abstract

This study contributes directly to the understanding of the causative agent of loss of carbon steel wire during the heat treatment (phenomenon called decarburization). This carbon loss disqualifies the material for your applications originally envisaged, as with mechanical reduction of the amount of the chemical element carbon steel becomes less resistant to traction and less hard what would prevent your use for various applications mechanics. This research aim is to show desirability method application related to decarburization and hardness, in SAE 51B35 drawn steel wires. Data were generated from application of design of experiments methodology (by means of the Minitab Statistical Software) and results revealed that all variables considered in study have significant influence. Statistic modeling was carried out by means of application of multiple linear regression method which allowed obtaining models which represent properly the process itself. Results of response variables decarburization and hardness were submitted to desirability method application and the process was optimized at the best adjust condition of entry variables in relation to their specifications.

DOI 10.11648/j.ajtas.20180701.15
Published in American Journal of Theoretical and Applied Statistics (Volume 7, Issue 1, January 2018)
Page(s) 35-44
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Design of Experiments, Multiple Linear Regression, Desirability Function

References
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[3] CHIAVERINI, V. Steels and cast irons. 7. Edition. São Paulo: Brazilian Association of Metallurgy and materials, 2012. 600 p.
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[6] HERNANDEZ JR, P. C.; FONSECA, J. E. F.; DICK, L. F. P. Development of a methodology for evaluation of steels. Part 1: determination of the degree of decarburization, Metallurgy and materials technology; v. 6, n. 3, p. 153-157, jan.- March. 2010.
[7] LIMA, V. B. S.; BALESTRASSI, P. P.; PAIVA, A. P. Performance optimization of broadband radio frequency amplifiers: an experimental approach, Production, v. 21, n. 1, p. 118-131, jan/march, 2011.
[8] MONTGOMERY, D. C.; RUNGER, G. C. Applied statistics and probability for engineers, 2ª Edition, Publisher LTC, 2003, 230-320 p.
[9] MONTGOMERY, C. D. Design and analysis of experiments. 8. ed. New York: John Wiley & Sons, 2013. 203p.
[10] NETO, B. B.; SCARMINIO, I. S.; BRUNS, R. E. How to make experiments: research and development in science and industry, 3ª Edition, Publisher Unicamp, 2007, 480 p.
[11] PAIVA, E. J. Manufacturing optimization with multiple Responses based on capacity indexes, Thesis, Federal University of Itajubá, 2008, 117 p.
[12] Robin; A.; Rosa, J. L., Silva, M. B. Electrodeposition and characterization of Cu–Nb composite coatings. Surface & Coatings Technology, Sidney, v. 205, n. 1, p. 2152–2159, oct 2010.
[13] ROSA, J. L.; ROBIN, A.; SILVA, M. B.; BALDAN, C. A.; PERES, M. P. Electrodeposition of copper on titanium wires: Taguchi experimental design approach. Journal of Materials Processing Technology, Sydney, v. 209, n. 1, p. 1181–1188, jan 2009.
[14] SILVA, H. A.; SILVA, M. B. Application of design of experiments (DOE) in the tube welding zircaloy-4; Production & Engineering, v. 1, n. 1, p. 41-52, set./dec. 2008.
[15] SODRÉ, M. On the communicational episteme. Arrays USP, São Paulo, v. 1, n. 1, p. 15–26, oct 2007.
[16] TSCHIPTSCHIN, A. P. Introduction to metallographic analysis, Aços Villares, 1980, p. 10-15.
[17] Wang, J.; Wan, W. Application of desirability function based on neural network for optimizing biohydrogen production process, international journal of hydrogen energy, v. 34, p. 1253-1259, 2009.
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Author Information
  • Department of Business, Dehoniana College, S?o Paulo, Brazil

  • Department of Production, University of Guaratinguetá (Feg-Unesp), S?o Paulo, Brazil

  • Department of Business, ITES College, S?o Paulo, Brazil

  • Department of Marketing, College ESPM, S?o Paulo, Brazil

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    Cristie Diego Pimenta, Messias Borges Silva, Rose Lima de Morais Campos, Walfredo Ribeiro de Campos Junior. (2018). Desirability and Design of Experiments Applied to the Optimization of the Reduction of Decarburization of the Process Heat Treatment for Steel Wire Sae 51B35. American Journal of Theoretical and Applied Statistics, 7(1), 35-44. https://doi.org/10.11648/j.ajtas.20180701.15

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    Cristie Diego Pimenta; Messias Borges Silva; Rose Lima de Morais Campos; Walfredo Ribeiro de Campos Junior. Desirability and Design of Experiments Applied to the Optimization of the Reduction of Decarburization of the Process Heat Treatment for Steel Wire Sae 51B35. Am. J. Theor. Appl. Stat. 2018, 7(1), 35-44. doi: 10.11648/j.ajtas.20180701.15

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    AMA Style

    Cristie Diego Pimenta, Messias Borges Silva, Rose Lima de Morais Campos, Walfredo Ribeiro de Campos Junior. Desirability and Design of Experiments Applied to the Optimization of the Reduction of Decarburization of the Process Heat Treatment for Steel Wire Sae 51B35. Am J Theor Appl Stat. 2018;7(1):35-44. doi: 10.11648/j.ajtas.20180701.15

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  • @article{10.11648/j.ajtas.20180701.15,
      author = {Cristie Diego Pimenta and Messias Borges Silva and Rose Lima de Morais Campos and Walfredo Ribeiro de Campos Junior},
      title = {Desirability and Design of Experiments Applied to the Optimization of the Reduction of Decarburization of the Process Heat Treatment for Steel Wire Sae 51B35},
      journal = {American Journal of Theoretical and Applied Statistics},
      volume = {7},
      number = {1},
      pages = {35-44},
      doi = {10.11648/j.ajtas.20180701.15},
      url = {https://doi.org/10.11648/j.ajtas.20180701.15},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ajtas.20180701.15},
      abstract = {This study contributes directly to the understanding of the causative agent of loss of carbon steel wire during the heat treatment (phenomenon called decarburization). This carbon loss disqualifies the material for your applications originally envisaged, as with mechanical reduction of the amount of the chemical element carbon steel becomes less resistant to traction and less hard what would prevent your use for various applications mechanics. This research aim is to show desirability method application related to decarburization and hardness, in SAE 51B35 drawn steel wires. Data were generated from application of design of experiments methodology (by means of the Minitab Statistical Software) and results revealed that all variables considered in study have significant influence. Statistic modeling was carried out by means of application of multiple linear regression method which allowed obtaining models which represent properly the process itself. Results of response variables decarburization and hardness were submitted to desirability method application and the process was optimized at the best adjust condition of entry variables in relation to their specifications.},
     year = {2018}
    }
    

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    AU  - Cristie Diego Pimenta
    AU  - Messias Borges Silva
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    AU  - Walfredo Ribeiro de Campos Junior
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    T2  - American Journal of Theoretical and Applied Statistics
    JF  - American Journal of Theoretical and Applied Statistics
    JO  - American Journal of Theoretical and Applied Statistics
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    PB  - Science Publishing Group
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    UR  - https://doi.org/10.11648/j.ajtas.20180701.15
    AB  - This study contributes directly to the understanding of the causative agent of loss of carbon steel wire during the heat treatment (phenomenon called decarburization). This carbon loss disqualifies the material for your applications originally envisaged, as with mechanical reduction of the amount of the chemical element carbon steel becomes less resistant to traction and less hard what would prevent your use for various applications mechanics. This research aim is to show desirability method application related to decarburization and hardness, in SAE 51B35 drawn steel wires. Data were generated from application of design of experiments methodology (by means of the Minitab Statistical Software) and results revealed that all variables considered in study have significant influence. Statistic modeling was carried out by means of application of multiple linear regression method which allowed obtaining models which represent properly the process itself. Results of response variables decarburization and hardness were submitted to desirability method application and the process was optimized at the best adjust condition of entry variables in relation to their specifications.
    VL  - 7
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