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Application of Response Surface Methodology for Modeling the effect of alloying elements on Mechanical Properties of Structural Steel

Author(s) : Abhinay Bhatt, Dr. Mahesh B. Parappagoudar

Volume & Issue : VOLUME 2 / 2015 , ISSUE 1

Page(s) : 1-6
ISSN (Online): 2394-3858
ISSN (Print) : 2394-3866


In the present paper an attempt has been made to establish the non-linear input-output relationships to model mechanical properties of structural steel with the help of Response Surface Methodology. Central composite design is utilized to conduct the experiments. Further, surface plots have been developed for response namely Yield strength, Ultimate tensile strength and Elongation. The experiments have been conducted as per central composite design where all process variables are set at three levels. The surface plots showed that alloying elements Manganese, Silicon and Carbon have positive contribution towards both responses Ultimate tensile strength and Yield strength. Moreover, analysis of variance test has been conducted to determine the statistical adequacies of the developed models. The alloying elements Carbon and Manganese showed more contribution as compared to Silicon. It is to be noted that all the three alloying elements are found to have negative contribution towards the response- Elongation. The developed non-linear regression models for the responses Yield strength, ultimate tensile strength and elongation have been tested for their prediction accuracy with the help of test cases. The present work is found to be useful to control the mechanical properties of structural steel by varying the major alloying elements. Moreover, most of the surface plots have shown a linear relation with the responses.


Alloying elements, Response surface methodology, Structural Steel, Surface plots


  1. Douglas C. Montgomery, Design and analysis of Experiments, John Wiley and sons, June 2007.
  2. Zyska A,Konopka Z, Lagiewka M and Nadolski M (2013), Optimization of squeeze parameters and modification of AlSi7Mg alloy, Archives of Foundry Engineering, 13(2),113-116
  3. Parappagoudar MB, Pratihar DK and data GL (2008), Linear and non-linear modeling of cement-bonded moulding and system using conventional statistical regression analysis, Journal of Materials Engineering and Performance,17(4),472-481.
  4. Mandal A and Roy P. (2006), Modeling the compressive strength of molasses-cement sand system using design of experiments and back propagation neutral network, Journal of Materials Processing Technology,180(1),167-173
  5. Parappagoudar MB, Pratihar DK and Datta GL (2007), Non-linear modeling using central composite design to predict green sand mould properties, Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering manufacture,221(5),881-895
  6. Parappagoudar MB, pratihar DK and data GL (2007), Linear and non-linear statistical modeling of green sand mould system, International Journal of cast metals research, 20(1), 1-13
  7. Surekha B, rao DH, Rao G, Vundavilli PR and Parappagoudar MB (2012), Modeling and analysis of resin bonded sand mould system using design of experiments and central composite design, J.Manuf. Sci. Prod.,12(1) , 31-50.
  8. Parappagoudar MB, Pratihar DK and Datta GL(2011),Modeling and analysis of sodium silicate-bonded moulding sand system using design of experiments and response surface methodology, Journal for Manufacturing Science & Production,11(1-3),1-14
  9. Verran Go,Mendes RPK and Rossi Ma (2006), Influence of injection parameters on defects formation in die casting Al12Si1, 3Cu alloy: Experimental results and numeric simulation, Journal of materials processing technology,179(1),190-195
  10. Verran Go,Mendes RPK and dalla Valentina LVO(2008),DOE applied to optimization of aluminium alloy die castings, Journal of materials processing technology,200(1),120-125
  11. Chiang KT, Liu NM and Tsai TC (2009), Modeling and analysis of the effects of processing parameters on the performance characteristics in the high pressure die casting process of Al-SI alloys, The International Journal of Advanced 7% Si alloy castings, Journal of materials processing technology,182(1),615-623.Manufacturing Technology,41(11-12),1076-1084
  12. Kumar S, Kumar P and Shan HS (2007), effect of evaporative pattern casting process parameters on the surface roughness of Al-7% Si alloy castings, Journal of materials processing technology,182(1),615-623.
  13. V. G. Laz'ko, V. N. Nikitin, N. I. Karchevskaya . Effect of carbon content on the structure and mechanical properties of high-strength weldable steel 03G4N2MAF, Metal Science and Heat Treatment , March 1986, Volume 28, Issue 3, pp 186-188.
  14. M.A.Babichev, A.A.Velikanova.Effect of the concentration of manganese on the wearability of steel, Metal Science and Heat Treatment , May 1964, Volume 6, Issue 6, pp 289-292.
  15. V. A. Kharitonov,N. I. Popova,V. F. Shishov. Effect of silicon and titanium on the mechanical properties of steel N18K9M5T, Metal Science and Heat Treatment , March 1984, Volume 26, Issue 3, pp 232-234.
  16. H. E. Townsend, Effects of Alloying Elements on the Corrosion of Steel in Industrial Atmospheres. Corrosion: June 2001, Vol. 57, No. 6, pp. 497-501.