Fractal Viewpoint of Fracture and Accretion

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.