Far East Journal of Dynamical Systems
Volume 8, Issue 2, Pages 185 - 192
(December 2006)
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STRETCHING THE FRACTAL SEQUENCES AND TOPOTHESY OF THE SURFACES
N. M. Sokolova (Belarus) and I. A. Miklashevich (Belarus)
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Abstract: The method to determine the fractal properties of fracture is proposed. The method is based on the multidimensional Pythagorean theorem and deformation of the length scales in fractal space. The topothesy of the surface profile can be determined as a parameter of the space stretching. It is shown that by the specific transformation any linear fractal consequence can be reduced to the regular one with deformed unit length. |
Keywords and phrases: fractal, crack, fracture, fractal volume, topothesy, surface roughness. |
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