Metal Science and Heat Treatment

, Volume 60, Issue 9–10, pp 611–615 | Cite as

Modeling and Optimization of the Effect of Sintering Parameters on the Hardness of Copper/Graphene Nanosheet Composites by Response Surface Methodology

  • N. Vijay PonrajEmail author
  • A. Azhagurajan
  • S. C. Vettivel
  • X. Sahaya Shajan
  • P. Y. Nabhiraj
  • A. Haiterlenin

Composites obtained by powder metallurgy from a mixture of copper powders and graphene nanosheets are studied. The response surface methodology is used to design the regression dependence of the HRC hardness of the composites on the temperature, the duration of the sintering, and the sintering heating rate. Adequacy of the model for predicting the hardness of the composites is demonstrated. Optimum parameters for sintering copper/graphene nanosheet composites are determined.

Key words

sintering graphene nanosheets copper response surface 


The authors acknowledge gratefully the financial assistance of the Board of Research in Nuclear Science of the Department of Atomic Energy of the Government of India under project sanction No. 34/14/64/2014-BRNS/2140.


  1. 1.
    Yanxia Tang, et al., “Enhancement of the mechanical properties of graphene-copper composites with graphene-nickel hybrids,” Mater. Sci. Eng., A599, 247 – 254 (2014).CrossRefGoogle Scholar
  2. 2.
    Jaewon Hwang, et al., “Enhanced mechanical properties of graphene-copper nanocomposites using a molecular-level mixing process,” Adv. Mater., 25(46), 6774 – 6729 (2013).CrossRefGoogle Scholar
  3. 3.
    Rongrong Jiang, et al., “Copper-graphene bulk composites with homogeneous graphene dispersion and enhanced mechanical properties,” Mater. Sci. Eng., A654, 124 – 130 (2016).CrossRefGoogle Scholar
  4. 4.
    Afsaneh Dorri Moghadam, et al., “Mechanical and tribological properties of self-lubricating metal matrix nanocomposites reinforced by carbon nanotubes (CNTs) and graphene—a review,” Composites, Part B: Engineering, 77, 402 – 420 (2015).CrossRefGoogle Scholar
  5. 5.
    I. O. Ershova, “Effect of sintering on the structure and mechanical properties of Mo – TiN and Mo – ZrN compositions,” Metal Sci. Heat Treat., 46(3 – 4), 126 – 131 (2004).CrossRefGoogle Scholar
  6. 6.
    S. M. Astrakhantsev, et al., “The effect of diffusion porosity appearing in nichrome alloy on the sintering of nickel and chrome powders,” Metal Sci. Heat Treat., 3(7), 329 – 331 (1961).CrossRefGoogle Scholar
  7. 7.
    Jinghang Liu, et al., “Graphene oxide and graphene nanosheet reinforced aluminum matrix composites: Powder synthesis and prepared composite characteristics,” Mater. Design, 94, 87 – 94 (2016).CrossRefGoogle Scholar
  8. 8.
    Jingyue Wang, et al., “Reinforcement with graphene nanosheets in aluminum matrix composites,” Scr. Mater., 66(8), 594 – 597 (2012).CrossRefGoogle Scholar
  9. 9.
    Jing Li, et al., “Application of response surface methodology (RSM) for optimization of the sintering process of preparation calcia partially stabilized zirconia (CaO-PSZ) using natural baddeleyite,” J. Alloys Compd., 574, 504 – 511 (2013).CrossRefGoogle Scholar
  10. 10.
    Gonzalo Astray, et al., “Comparison between developed models using response surface methodology (RSM) and artificial neural networks (ANNs) with the purpose to optimize oligosaccharide mixtures production from sugar beet pulp,” Industr. Crops Prod., 92, 290 – 299 (2016).CrossRefGoogle Scholar
  11. 11.
    Lin Jiang, et al., “The use of flake powder metallurgy to produce carbon nanotube (CNT)/aluminum composites with a homogeneous CNT distribution,” Carbon, 50(5), 1993 – 1998 (2012).CrossRefGoogle Scholar
  12. 12.
    Yong Zhou, et al., “Hydrothermal dehydration for the “green” reduction of exfoliated graphene oxide to graphene and demonstration of tunable optical limiting properties,” Chem. Mater., 21(13), 2950 – 2956 (2009).CrossRefGoogle Scholar
  13. 13.
    Ponraj N. Vijay, A. Azhagurajan, and S. C. Vettivel, “Microstructure, consolidation and mechanical behavior of Mg/n-TiC composite,” Alexandria Eng. J., 55(3), 2077 – 2986 (2016).Google Scholar
  14. 14.
    I. Saravanan, et al., “Optimization of wear parameters and their relative effects on TiN coated surface against Ti6Al4V alloy,” Mater. Design, 92, 23 – 35 (2016).CrossRefGoogle Scholar
  15. 15.
    Shruti Chopra, V. Patil Gayathri, and K. Motwani Sanjay, “Release modulating hydrophilic matrix systems of losartan potassium: Optimization of formulation using statistical experimental design,” Eur. J. Pharmac. Biopharmac., 66(1), 73 – 82 (2007).Google Scholar
  16. 16.
    R. Satheesh Raja and K. Manisekar, “Experimental and statistical analysis on mechanical properties of nano flyash impregnated GFRP composites using central composite design method,” Mater. Design, 89, 884 – 892 (2016).CrossRefGoogle Scholar
  17. 17.
    Andre I. Khuri and John A. Cornell, Response Surfaces: Designs and Analysis, Vol. 152, CRC Press (1996).Google Scholar
  18. 18.
    Mathew Jose, N. Ramakrishnan, and N. K. Naik, “Investigations into the effect of geometry of a trepanning tool on thrust and torque during drilling of GFRP composites,” J. Mater. Proc. Technol., 91(1), 1 – 11 (1999).CrossRefGoogle Scholar
  19. 19.
    Anish Upadhyaya and G. S. Upadhyaya, “Sintering of copperalumina composites through blending and mechanical alloying powder metallurgy routes,” Mater. Design, 16(1), 41 – 45 (1995).CrossRefGoogle Scholar
  20. 20.
    K. Rajkumar and S. Aravindan, “Microwave sintering of copper-graphite composites,” J. Mater. Proc. Technol., 209(15), 5601 – 5605 (2009).CrossRefGoogle Scholar
  21. 21.
    Zhao-Hui Zhang, et al., “Ultrafine-grained copper prepared by spark plasma sintering process,” Mater. Sci. Eng., A476(1), 201 – 205 (2008).Google Scholar
  22. 22.
    A. Ibrahim, et al., “An experimental investigation on the W – Cu composites,” Mater. Design, 30(4), 1398 – 1403 (2009).CrossRefGoogle Scholar
  23. 23.
    Rahimian Mehdi, et al., “The effect of particle size, sintering temperature and sintering time on the properties of Al – Al2O3 composites, made by powder metallurgy,” J. Mater. Proc. Technol., 209(14), 5387 – 5393 (2009).CrossRefGoogle Scholar
  24. 24.
    J. Chen, L. Lu, and K. Lu, “Hardness and strain rate sensitivity of nanocrystalline Cu,” Scr. Mater., 54(11), 1913 – 1918 (2006).CrossRefGoogle Scholar
  25. 25.
    J. L. Johnson and R. M. German, “Phase equilibria effects on the enhanced phase sintering of tungsten – copper,” Metall. Trans., A24 (11), 2369 – 2377 (1993).CrossRefGoogle Scholar
  26. 26.
    Alves da Costa Francine, Pereira da Silva Angelus Guiseppe, and Umbelino Gomes Uilame, “The influence of the dispersion technique on the characteristics of the W – Cu powders and on the sintering behavior,” Powder Technol., 134(1), 123 – 132 (2003).Google Scholar

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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • N. Vijay Ponraj
    • 1
    Email author
  • A. Azhagurajan
    • 2
  • S. C. Vettivel
    • 3
  • X. Sahaya Shajan
    • 4
  • P. Y. Nabhiraj
    • 5
  • A. Haiterlenin
    • 6
  1. 1.Department of Mechanical Engineering, PNS College of Engineering and TechnologyTirunelveliIndia
  2. 2.Department of Mechanical EngineeringMepco Schlenk Engineering CollegeSivakasiIndia
  3. 3.Department of Mechanical EngineeringChandigarh College of Engineering and TechnologyChandigarhIndia
  4. 4.Centre for Scientific and Applied Research, PSN College of Engineering and TechnologyTirunelveliIndia
  5. 5.ECR Division, Variable Energy Cyclotron CentreKolkataIndia
  6. 6.Department of Mechanical and Chemical EngineeringWollo UniversityDessieEthiopia

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