Fragmentation of Fractal Random Structures

Morphology-dependent random binary fragmentation of in silico fractal-like agglomerates

“…A predominance of non-equal-sized fragments upon bond removal in random clusters on a lattice was also found in ref. [3]. The experimental results of Kusters et al [21], who found that ultrasonic fragmentation of agglomerated particles in liquids leads to erosion, namely only a limited number of monomers break up from the agglomerate, also suggest a U-shaped fragment size distribution.…”

“…-Fragmentation is important in nature and industry. Polymer degradation [1], fracture of solids and volcanic eruptions [2], network topology and resilience [3], droplet [4] and agglomerate [5] breakup in turbulent flow are just a few examples where fragmentation determines the outcome of a process.…”

Exploration of the fragmentation of laser shock-melted aluminum using x-ray backlighting

“…This process, referred to as microspalling by some authors, 1,2 has been of increasing interest because of its scientific and engineering significance. [3][4][5][6][7][8][9] However, high-quality experimental work on the subject remains limited and experimental data, such as the mass distribution of the fragmentation products in space, particle size distribution, successive evolution of the fragmentation product topology and the thermodynamic states, are quite sparse. These data are essential for developing predictive models of the phenomenon.…”

Optimización en fractales

“…Para tener una representación aproximada de la distribución de los datos numéricos de Coll(d, m) construimos histogramas. Teniendo en cuenta que tenemos los fractales normalizados en el cuadrado unidad y que en el experimento el radio máximo de las teselas circulares es de 0.5, dividimos el rango de los radios en 17 intervalos consecutivos de amplitud 0.03 Era de esperar que el resultado se ajustase por una ley de potencias, ya que las alturas de los rectángulos en el histograma están disminuyendo y está respaldado por la literatura científica [25]. Sin embargo, la altura de los rectángulos en los histogramas está disminuyendo sólo cuando la masa fractal es inferior al 1 % o la dimensión fractal es inferior a 1.5 y la masa fractal es inferior al 2 %.…”