Hausdorff dimensions, Hausdorff measures, Box dimensions, girth to area normal ratio, SIM the Slit Island Method (i. e. SIM) in the fractal dimension measurement for metal fault plane, a lot of research work has been done in this field, which is widely used to solve the problems in engineering and physics. However, many experimental results show that the tanacity index of the trial material decreases with the fractal dimension
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