Experimental analysis of self-affine fractured rock surfaces through shadow length measurements

作者: J.M. Boffa , C. Allain , J.P. Hulin

DOI: 10.1016/S0378-4371(99)00598-1

关键词:

摘要: Abstract Geometrical properties of fractured basalt and sandstone surfaces are studied by measuring the length distribution shadows appearing under grazing illumination. For self-affine surfaces, is predicted to follow a power law shadow with an exponent depending only on upper cut-off related incidence angle amplitude roughness. A local thresholding procedure described allows detect small inside large illuminated zones light patches surrounded dark regions. The dependence threshold value criterion, based total zones, for optimizing these parameters introduced. both samples, exponents obtained from distributions verifying criterion in agreement theoretical expectations using classical profilometry results. Limitations lowest usable values due deviations surface characteristics discussed possible determination roughness characterization parameter evaluated.

参考文章(17)
Michael Warner, Lauren Berland, Sexo en público Fractals. ,vol. 3, pp. 91- 120 ,(1999)
Pascal Daguier, Stéphane Henaux, Elisabeth Bouchaud, François Creuzet, Quantitative analysis of a fracture surface by atomic force microscopy. Physical Review E. ,vol. 53, pp. 5637- 5642 ,(1996) , 10.1103/PHYSREVE.53.5637
E. Bouchaud, S. Navéos, From quasi-static to rapid fracture Journal De Physique I. ,vol. 5, pp. 547- 554 ,(1995) , 10.1051/JP1:1995150
Benoit B. Mandelbrot, Dann. E. Passoja, Alvin J. Paullay, Fractal character of fracture surfaces of metals Nature. ,vol. 308, pp. 721- 722 ,(1984) , 10.1038/308721A0
Elisabeth Bouchaud, Scaling properties of cracks Journal of Physics: Condensed Matter. ,vol. 9, pp. 4319- 4344 ,(1997) , 10.1088/0953-8984/9/21/002
Franck Plouraboué, Pascal Kurowski, Jean-Pierre Hulin, Stéphane Roux, Jean Schmittbuhl, Aperture of rough cracks Physical Review E. ,vol. 51, pp. 1675- 1685 ,(1995) , 10.1103/PHYSREVE.51.1675
ALEX HANSEN, FRANCK PLOURABOUÉ, STÉPHANE ROUX, SHADOWS IN A SELF-AFFINE LANDSCAPE Fractals. ,vol. 03, pp. 91- 98 ,(1995) , 10.1142/S0218348X95000084
Jean Schmittbuhl, François Schmitt, Christopher Scholz, Scaling invariance of crack surfaces Journal of Geophysical Research. ,vol. 100, pp. 5953- 5973 ,(1995) , 10.1029/94JB02885
V. Yu. Milman, R. Blumenfeld, N. A. Stelmashenko, R. C. Ball, Comment on "Experimental measurements of the roughness of brittle cracks" Physical Review Letters. ,vol. 71, pp. 204- 204 ,(1993) , 10.1103/PHYSREVLETT.71.204
Jean Schmittbuhl, Jean-Pierre Vilotte, Stéphane Roux, Reliability of self-affine measurements Physical Review E. ,vol. 51, pp. 131- 147 ,(1995) , 10.1103/PHYSREVE.51.131