Correlation of Fractal Surface Description Parameters with Fracture Toughness

  • Zuzana Krištáková
  • Miriam Kupková


The present chapter investigates the applicability of fractal geometry in fractography. Samples at different times during excavation have been studied to examine fractal characteristics of fracture surfaces. The fractal dimensions of the fracture surfaces were determined by using a vertical section method. Fracture toughness has been obtained by using the three point SENB method. Results show the fracture surfaces to be fractal, but no correlation between the measured quantities has been noticed.


Fracture Surface Fracture Toughness Fractal Geometry Maraging Steel Fracture Surface Roughness 
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  1. Brown SR (1987) A note on the description of surface roughness using fractal dimension. Geophys Res Lett 14: 1095–1098CrossRefGoogle Scholar
  2. Dauskart RH, Haubensak F, Ritchie RO (1990) On the interpretation of the fractal character of fracture surfaces. Acta Metall Mater 38: 143–159.CrossRefGoogle Scholar
  3. Davison DL (1989) Fracture surface roughness as a gauge of fracture toughness: aluminum/particulate SiC composites. J materials science 24: 681–687.CrossRefGoogle Scholar
  4. Hough SE (1989) On the use of spectral methods for determination of fractal dimension. Geophys Res Lett 16: 673 – 676CrossRefGoogle Scholar
  5. Huang SL, Oelfke SM, Speck RC (1992) Applicability of fractal characterization and modelling to rock joint profiles. Int J Rock Mech Min Sci Geomech Abstr 29: 89–98.CrossRefGoogle Scholar
  6. Mandelbrot BB (1967) How long is the coast of Britain? Statistical self—similarity and the fractional dimension. Science 156: 636–638CrossRefGoogle Scholar
  7. Mandelbrot BB (1983) The fractal geometry of Nature. Freeman, San Francisco. Mandelbrot BB, Passoja DE, Paullay AJ (1984) Fractal character of fracture surfaces of metals. Nature 308: 721–22.CrossRefGoogle Scholar
  8. Mencholsky JJ, Passoja DE, Feinberg—Ringel KS (1989) Analysis of Brittle Fracture Surfaces Using Fractal Geometry. J Am Ceramic Soc 72: 60–65.CrossRefGoogle Scholar
  9. Pande CS, Richards LE, Smith S (1987a) Fractal characteristic of fractured surfaces. J Mater Sci Lett 6: 295–298.CrossRefGoogle Scholar
  10. Pande CS, Richards LE, Louat N, Dempsey BD, Schwoeble AJ (1987b) Fractal Characterization of Fracture Surfaces. Acta Metall 35: 1633–37CrossRefGoogle Scholar
  11. Power WL, Tullis TE (1991) Euclidean and Fractal Models for Rock Surface Roughness. J Geophys Res 96: 415–424CrossRefGoogle Scholar
  12. Sakellariou M, Nakos B, Mitsakaki C (1991) Technical note on the fractal character of rock surfaces. Int J Rock Mech Min Sci & Geomech Abstr 28: 527–533.CrossRefGoogle Scholar
  13. Underwood EE, Banerji K (1986) Fractals in fractography. Mater Sci Eng 80: 1–15CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • Zuzana Krištáková
    • 1
  • Miriam Kupková
    • 2
  1. 1.Institute of Geotechnics of SASKošiceSlovak Republic
  2. 2.Institute of Materials Research of SASKošiceSlovak Republic

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