1. Bilinear log n - log p relation and critical power-law grain size distribution of crushable aggregates under compression and shear
- Author
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Sato, Kan, Kitajima, Hiroko, Takahashi, Miki, and Matsushima, Takashi
- Subjects
Condensed Matter - Disordered Systems and Neural Networks ,Condensed Matter - Materials Science ,Physics - Geophysics - Abstract
In order to investigate the relation between the bulk plastic compression behavior and the evolution of grain size distribution (GSD) due to grain crushing under high-pressure compression and shear, we performed three types of loading experiments; single grain crushing (SGC) test, one-dimensional compression (ODC) test and rotary shear (RS) tests. The materials used are an angular mountain silica sand and a round river silica sand. The major findings are summarized as follows: (1) The SGC tests reveal that the Weibull model is successfully applied with the modulus m=2 for single grain crushing stress. (2) In the ODC tests, the relation between the applied pressure, p, and the resulting porosity, n, fits better on a bi-linear model in a log n - log p plot than in the classical e-log p plot, where e is the void ratio. (3) Both in the ODC and the RS tests, the GSD converges into a power-law (fractal) distribution with the exponent (fractal dimension) of about -2.5, which is close to the one for Apollonian sphere packing, -2.47 (Borkovec et al., 1994). (4) The proposed recursive pore filling model successfully describes the log n - log p relation in the ODC test and log n - log relation, where is the shear strain, in the RS test in a consistent manner., Comment: 25 pages, 26 figures, 1 table
- Published
- 2017