Multifractal description of fracture morphology: Theoretical basis

Materials Characterization

Volumn 51, Issue 1, 2003, Pages 79-86

  Stach, Sebastian ^a   Cybo, Jerzy ^a  

^a UNIVERSITY OF SILESIA   (Poland)

Author keywords

Box counting; Fractal; Fractal dimension; Fracture; Multifractal; Multifractal spectrum; Profile

Indexed keywords

CRACKS; FRACTALS; FRACTOGRAPHY; IMAGE ANALYSIS; MATERIALS SCIENCE; OPTIMIZATION; SPECTRUM ANALYSIS; SURFACE PROPERTIES;

BOX COUNTING; FRACTAL DIMENSION; MULTIFRACTALS;

FRACTURE;

EID: 0346148212     PISSN: 10445803     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matchar.2003.10.002     Document Type: Article

References (11)

1. Wojnar L. Fraktografia Ilościowa: Podstawy i komputerowe wspomaganie badań. Mechanika-Cracow University of Technology-Zeszyt Naukowy nr 2.
2. Mandelbrot B.B. The fractal geometry of nature. 2000;W.H. Freeman, New York.
3. Feder J. Fractals. 1989;Plenum, New York.
4. Ray K.K., Mandal G. Study of correlation between fractal dimension and impact energy in a high strength low alloy steel. Acta Metall. Mater. 40(3):1992;463-469.
5. Xie H., Wang J.-A., Stein E. Direct fractal measurement and multifractal properties of fracture surfaces. Phys. Lett., A. 242:1998;41-50.
6. Stach S., Cybo J., Chmiela J. Fracture surface - fractal or multifractal? Mater. Charact. 46:2001;163-167.
7. Hastings H.M., Sugihara G. Fractals: a user's guide for the natural sciences. 1993;Oxford Univ. Press, New York.
8. Russ J.C. Fractal surfaces. 1994;Plenum, New York.
9. Chhabra A., Jensen R.V. Direct determination of the f(α) singularity spectrum. Phys. Rev. Lett. 62(12):1989;1327-1330.
10. Stach S, Roskosz S, Cybo J. Multifractal description of fracture morphology: methodology [unpublished].
11. Stach S, Roskosz S, Cybo J, Cwajna J. Multifractal description of fracture morphology: investigation of the fractures of sintered carbides. Mater Charact, Compania paper, MTL 2248/2249.