a Deportment of Applied Physics, Research Center for Materials Science, Beijing Institute of Technology, Beijing 100081, China; b Beijing Graduate School of North China Institute of Water Resources and Hydropower, Beijing 100044, China
Abstract In this paper we try to show how a reasonable equation for crack propagation in brittle materials naturally leads to self-affine or statistically self-similar failure structures. We argue that the fractal behaviours of crack propagation in brittle mate-rials are in essence determined by the scale-invariance of the Fokker-Planck equation. This approach provides a good illustration for understanding the microscopic origin of fractal behaviour in real materials.
Received: 11 March 1996
Accepted manuscript online:
PACS:
81.40.Np
(Fatigue, corrosion fatigue, embrittlement, cracking, fracture, and failure)
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