Vl. Hilarov, SELF-SIMILAR CRACK-GENERATION EFFECTS IN THE FRACTURE PROCESS IN BRITTLE MATERIALS, Modelling and simulation in materials science and engineering, 6(4), 1998, pp. 337-342
Using acoustic-emission data banks we have computed time and space cor
relation functions for the purpose of investigation of crack-propagati
on self-similarity during the fracture process in brittle materials. I
t is shown that the whole fracture process may be represented as a two
-stage process. In the first stage, the crack propagation is uniform a
nd uncorrelated in space, having a time spectral density of the white-
noise type and a correlation fractal dimension approximately equal to
that of 3D Euclidean space. In the second stage, this fractal dimensio
n decreases significantly, reaching the value of 2.2-2.4, characterist
ic for the fracture surfaces, while the time spectral density exhibits
a significant low-frequency increase becoming of 1/f-noise type. The
resulting fractal shows no multifractal behaviour, appearing to be a s
ingle fractal.