scholarly journals Fractal Characteristic of Rock Cutting Load Time Series

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Hongxiang Jiang ◽  
Changlong Du ◽  
Songyong Liu ◽  
Kuidong Gao

A test-bed was developed to perform the rock cutting experiments under different cutting conditions. The fractal theory was adopted to investigate the fractal characteristic of cutting load time series and fragment size distribution in rock cutting. The box-counting dimension for the cutting load time series was consistent with the fractal dimension of the corresponding fragment size distribution, which indicated that there were inherent relations between the rock fragmentation and the cutting load. Furthermore, the box-counting dimension was used to describe the fractal characteristic of cutting load time series under different conditions. The results show that the rock compressive strength, cutting depth, cutting angle, and assisted water-jet types all have no significant effect on the fractal characteristic of cutting load. The box-counting dimension can be an evaluation index to assess the extent of rock crushing or cutting. Rock fracture mechanism would not be changed due to water-jet in front of or behind the cutter, but it would be changed when the water-jet was in cutter.

Fractals ◽  
1995 ◽  
Vol 03 (03) ◽  
pp. 525-531 ◽  
Author(s):  
GREG HUBER ◽  
MOGENS H. JENSEN ◽  
KIM SNEPPEN

A geometric and very general relation between the size distribution and the fractal dimensions of a set of objects is presented. The applications are numerous, ranging from fragmentation experiments to time series. For example, it may be used to understand the fragment-size distribution of fragmenting gypsum. The formalism also generalizes to self-affine fractals, and here it is applied to the scaling properties of self-interactions in (1+1)-d directed percolation.


Fractals ◽  
2003 ◽  
Vol 11 (04) ◽  
pp. 369-376 ◽  
Author(s):  
HAJIME INAOKA ◽  
MAREKAZU OHNO

We conducted a set of experiments of impact fragmentation of samples with voids, such as pumice stones and bricks. We discovered that the fragment size distribution follows a power law, but that the exponent of the distribution is different from that of the distribution by the fragmentation of a space-filling sample like a gypsum ball. The value of the exponent is about 0.9. And the value seems universal for samples with voids.


2003 ◽  
Vol 44 (5) ◽  
pp. 951-956 ◽  
Author(s):  
Sang Ho Cho ◽  
Masaaki Nishi ◽  
Masaaki Yamamoto ◽  
Katsuhiko Kaneko

AIP Advances ◽  
2017 ◽  
Vol 7 (6) ◽  
pp. 065306 ◽  
Author(s):  
Weihua He ◽  
Jianting Xin ◽  
Yongqiang Zhao ◽  
Genbai Chu ◽  
Tao Xi ◽  
...  

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