2009
DOI: 10.1016/j.chaos.2008.04.010
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From criticality to final collapse: Evolution of the “b-value” from 1.5 to 1.0

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Cited by 176 publications
(104 citation statements)
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“…Now, let us see the result of fractal dimension. Some researches show the decrease of the fractal dimensions before a great rupture (Carpinteri et al, 2009;Goltz, 1997;Kiyashchenko et al, 2004;Lee et al, 2008;Matcharashvili et al, 2000;Radulian and Trifu, 1991). Because the correlation dimension D 2 is the most typical in the fractal dimensions, we only research D 2 in this paper.…”
Section: Local Scaling Propertymentioning
confidence: 98%
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“…Now, let us see the result of fractal dimension. Some researches show the decrease of the fractal dimensions before a great rupture (Carpinteri et al, 2009;Goltz, 1997;Kiyashchenko et al, 2004;Lee et al, 2008;Matcharashvili et al, 2000;Radulian and Trifu, 1991). Because the correlation dimension D 2 is the most typical in the fractal dimensions, we only research D 2 in this paper.…”
Section: Local Scaling Propertymentioning
confidence: 98%
“…Li (lqdzjybzx@126.com) has also been shown in multifractal research on seismic activity that the spectrum of generalised dimensions and the singularity spectrum display characteristic changes before large earthquakes (Caruso et al, 2006;Dimitriu et al, 2000;Nakaya, 2005;Roy and Padhi, 2007). Some results have confirmed that the decrease in fractal dimension, the steepening of curves in the generalised dimension spectrum and the broadening of the value range in the singularity spectrum, can be taken as indicators of an unstable state of an earthquake system before a large rupture (Carpinteri et al, 2009;Goltz, 1997;Kiyashchenko et al, 2004;Lee et al, 2008;Matcharashvili et al, 2000;Radulian and Trifu, 1991;Telesca et al, 2005;Telesca and Lapenna, 2006). However, there are some shortcomings in the research: the mono-fractal dimension is not sufficient to characterise heterogeneous fractals (Grassberger and Procaccia, 1984;Kentz and Schreiber, 1997), while the generalised dimension spectrum and singularity spectrum can only represent a global description of the scaling properties (Chhabra and Jensen, 1989;Grassberger, 1983).…”
Section: Introductionmentioning
confidence: 95%
“…In analogy with seismology, this statement is expressed by the Gutenberg-Richter relationship [13] [16]:…”
Section: History Parameters and B-valuementioning
confidence: 99%
“…Some authors [16] suggest that, based on the fractal geometry approach in the mechanics of damage and fracture of heterogeneous materials, b-value should approach 1.0 with the evolution of damage. However, this conclusion is only partly supported by experimental observations [13,[24][25][26][27] (Fig.…”
Section: History Parameters and B-valuementioning
confidence: 99%
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