Abstract

The collective topology of the fracture lines which develop during mechanical fragmentation of glass was characterized as a function of the energy density ϵ of the applied mechanical shocks. For infinite, two-dimensional plates, beginning with an energy density ϵ 0 of the shock, the collective geometry of the fracture lines exhibits a fractal structure with fractal dimension D , such that 1< D <2. D is a linear function of 1/ ϵ , with the general form D =− C / ϵ +2 ( C >0) and the total number of fragments is a linear function of ϵ. Computer simulations confirm the experimental results and model the fragmentation process.

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