Fractal geometry is introduced into elastic–plastic fracture mechanics characterizing the morphology of crack surface. It is shown that the rising of the J–R curve is correlated to the ruggedness dimension (Hurst's exponent) of the crack surface. Experimental results are fitted. Our...

We report on the fractal analysis of digital speckle patterns experimentally generated using an optical setup to record the light scattered from metallic rough surfaces in the normal direction. Using the differential box counting technique, we have calculated the fractal dimension of digital...

In order to perform quantum Hamiltonian dynamics minimizing localization effects, we introduce a quasi-one-dimensional tight-binding model whose mean free path is smaller than the size of the sample. This size, in turn, is smaller than the localization length. We study the return probability to...

By means of extensive numerical simulations of diffusion-limited colloidal aggregation in two and three dimensions, we have found the concentration dependence of the structural and dynamical quantities. Both on- and off-lattice simulations were used in 2D to check the independence of our results...

In this paper we present an algorithm to estimate the Hausdorff fractal dimension. The algorithm uses a recursive formula with a fast enough convergence. The accuracy of results is independent on the size, i.e., degree of definition of the fractal set. This fact is particularly useful when...

We investigated the Anderson transition in fractal-based complexes, which were generated using the dielectric-breakdown model when parameter α in the model was changed from α1 to α2 at time τ1 during the growth. When α1<α2, our nerve-cell-like complex can be considered a dendritic fractal grown on a somatic fractal. On the other hand, when α1>α2, our nebula-like complex cannot be divided into two regions. The...</α2,>

The dynamics characteristic and effect of atoms and particulates ejected from the surface generated by nanosecond pulsed-laser ablation are very important. In this work, based on the consideration of the inelasticity and non-uniformity of the plasma particles thermally desorbed from a plane...

We present a simple and efficient way for calculating the fractal dimension D of any time sequence sampled at a constant time interval. We calculated the error of a piecewise interpolation to N+1 points of the time sequence with respect to the next level of (2N+1)-point interpolation. This error...

Temporal variation of spatial clustering in fire data recorded from 1997 to 2003 in Tuscany region, central Italy, has been investigated using the Voronoï polygon area, the Morishita index and the fractal dimension. Our findings reveal that the spatial clustering of fire events changes with...

We study the scaling properties of forced folding of thin materials of different geometry. The scaling relations implying the topological crossovers from the folding of three-dimensional plates to the folding of two-dimensional sheets, and further to the packing of one-dimensional strings, are...