Fractal Viewpoint of Fracture and Accretion

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  • Fractal Viewpoint of Fracture and Accre

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Abstract

A model from a point of view of the fractal is presented to describe fracture and accretion. It is shown to give a power-law dependence of the cumulative number of similar objects in their collection whose sizes are larger than r, N(r)∼r−x, which has been observed in many phenomena associated with fracture and accretion. The case of drift ice is shown as an example. A relationship is also derived among exponents of cumulative number and mass, and a fractal dimension of similar objects.

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