Abstract
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.
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References
Brown SR (1987) A note on the description of surface roughness using fractal dimension. Geophys Res Lett 14: 1095–1098
Dauskart RH, Haubensak F, Ritchie RO (1990) On the interpretation of the fractal character of fracture surfaces. Acta Metall Mater 38: 143–159.
Davison DL (1989) Fracture surface roughness as a gauge of fracture toughness: aluminum/particulate SiC composites. J materials science 24: 681–687.
Hough SE (1989) On the use of spectral methods for determination of fractal dimension. Geophys Res Lett 16: 673 – 676
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.
Mandelbrot BB (1967) How long is the coast of Britain? Statistical self—similarity and the fractional dimension. Science 156: 636–638
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.
Mencholsky JJ, Passoja DE, Feinberg—Ringel KS (1989) Analysis of Brittle Fracture Surfaces Using Fractal Geometry. J Am Ceramic Soc 72: 60–65.
Pande CS, Richards LE, Smith S (1987a) Fractal characteristic of fractured surfaces. J Mater Sci Lett 6: 295–298.
Pande CS, Richards LE, Louat N, Dempsey BD, Schwoeble AJ (1987b) Fractal Characterization of Fracture Surfaces. Acta Metall 35: 1633–37
Power WL, Tullis TE (1991) Euclidean and Fractal Models for Rock Surface Roughness. J Geophys Res 96: 415–424
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.
Underwood EE, Banerji K (1986) Fractals in fractography. Mater Sci Eng 80: 1–15
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© 1994 Springer-Verlag Berlin Heidelberg
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Krištáková, Z., Kupková, M. (1994). Correlation of Fractal Surface Description Parameters with Fracture Toughness. In: Kruhl, J.H. (eds) Fractals and Dynamic Systems in Geoscience. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-07304-9_6
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DOI: https://doi.org/10.1007/978-3-662-07304-9_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-07306-3
Online ISBN: 978-3-662-07304-9
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