V L Hilarov 1998 Modelling Simul. Mater. Sci. Eng. 6 337 doi:10.1088/0965-0393/6/4/002
Self-similar crack-generation effects in the fracture process in brittle materials
V L Hilarov
Show affiliationsUsing acoustic-emission data banks we have computed time and space correlation functions for the purpose of investigation of crack-propagation self-similarity during the fracture process in brittle materials. It is shown that the whole fracture process may be represented as a two-stage process. In the first stage, the crack propagation is uniform and 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 dimension decreases significantly, reaching the value of 2.2-2.4, characteristic for the fracture surfaces, while the time spectral density exhibits a significant low-frequency increase becoming of 
-noise type. The resulting fractal shows no multifractal behaviour, appearing to be a single fractal.
- PACS
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62.20.M- Structural failure of materials
81.40.Np Fatigue, corrosion fatigue, embrittlement, cracking, fracture, and failure
- Subjects
- Dates
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Issue 4 (July 1998)
Received 9 October 1997, accepted for publication 5 March 1998
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Self-similar crack-generation effects in the fracture process in brittle materials
V L Hilarov 1998 Modelling Simul. Mater. Sci. Eng. 6 337
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