Scaling Law of Quasi Brittle Fragmentation

Energy Partitioning, Dynamic Fragmentation, and Off‐Fault Damage in the Earthquake Source Volume

“…(2020) found that the fragment size distribution defined two power‐law trends (two slopes, or D ‐values, in a log‐log plot) that intersect at a value of = ∼10 μm (Figure 4). Such “bifractal” distributions are observed in a wide range of different processes from drilling, brecciation, crushing, and milling of rock (Barnett, 2004; Carpinteri & Pugno, 2002; Farris & Paterson, 2007; Roy et al., 2012; Taşdemir, 2009) to rapid shock fragmentation of brick, glass, quartz, rock and ceramic (Barnett, 2004; Capaccioni et al., 1986; Davydova et al., 2014; Fujiwara et al., 1977; Hossain & Kruhl, 2015; Keulen et al., 2007; Roy et al., 2012; Suteanu et al., 2000). Bifractal distributions are sometimes interpreted as identifying a grinding limit (e.g., Keulen et al., 2007), but 10 μm is far too large for the grinding limit of garnet (∼0.26 μm for almandine‐pyrope; B. R. Song, Johnson, Song, et al., 2020).…”

Statistical Laws of Dynamic Fragmentation of ZrO₂ Ceramics

“…Along with the data for zirconia ceramics Fig. 6 presents the values of power law exponent obtained from a series of fragmentation experiments with different materials: quartz bars under impact loads (rhombi) [3], silicon carbide-based ceramics SiC (filled circles) subjected to a split Hopkinson pressure bar test, and Syminal (synthetic mineral alloy) specimens (open circles) under high-speed impact loading [4]. The analysis of dependencies plotted in Fig.…”

“…Its chief distinction is the long-range defect interaction, which provides energy dissipation typical of critical behavior in non-equilibrium systems. Taking into account the peculiarities of quasi-brittle fracture the experimental techniques based on in-situ study (time series of pulses of acoustic emission or fractoluminesence [1]) of static and dynamic fracture have been proposed [2][3][4][5][6].…”

Fragmentation of Mansurov granite under quasi-static compression

“…e have analyzed fragmentation of six materials under five different loading conditions: i) granite fragmentation under quasi-static loading (present paper); ii) fragmentation of impact-loaded quartz bars [18][19][20]…”

“…ZrO [20][21][22][23] and SiC [21] ceramics fragmentation in a Hopkinson pressure bar test, iiii) syminal (synthetic mineral alloy) fragmentation under high-speed impact [20]; iiiii) fragmentation of tubular alumina ( 2 3 Al O ) samples under shock-wave loading [24,25]. The main parameter, which governs fragmentation statistics, is the specific strain energy ( J/kg) E .…”