Metallography, Microstructure, and Analysis

, Volume 6, Issue 6, pp 598–609 | Cite as

Fractal Analysis as Applied to Fractography in Ferritic Stainless Steel

  • Sandeep Sahu
  • Prabhat Chand Yadav
  • Shashank Shekhar
Technical Article


Fractal analysis has been developed as a tool to analyze the fractal characteristics with less sensitivity to magnification over a wide scale, which can also be used to quantify the fractographic data. In this work, two different techniques of fractal analysis were used to calculate the fractal dimension. In the first method, the fracture surface morphology was utilized, and in the second method, the roughness profile of the fracture surface was utilized in order to calculate the fractal dimension. The purpose of the work is to compare the effectiveness of these two fractal techniques in characterizing the mode of fracture. For it, the results of fractal analysis were compared with the quantified results obtained using conventional fractography analysis. Moreover, fractal dimension obtained using roughness profile had a positive linear correspondence with impact energy, and this result has been discussed in terms of fracture micromechanism.


Failure analysis Fractography Electron microscopy Fractal analysis Fractal dimension Image analysis 



This work was supported by Bharat Heavy Electricals Limited, Haridwar manufacturing unit, India under Project Grant No. BHEL-MET-20110158. The authors would like to thank staff members of electron microscope facility at Advanced Centre for Materials Science, Indian Institute of Technology Kanpur, India, for providing the characterization facilities used in the present work.

Supplementary material

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Supplementary material 1 (DOCX 42 kb)
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Supplementary material 2 (DOCX 4389 kb)


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Copyright information

© Springer Science+Business Media, LLC and ASM International 2017

Authors and Affiliations

  • Sandeep Sahu
    • 1
  • Prabhat Chand Yadav
    • 1
  • Shashank Shekhar
    • 1
  1. 1.Structural Nanomaterials Lab, Department of Materials Science and EngineeringIndian Institute of Technology KanpurKanpurIndia

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