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Bilinear log n - log p relation and critical power-law grain size distribution of crushable aggregates under compression and shear

2017/06/03 by Kan Sato, Hiroko Kitajima, Sato, Kan +5
Engineering · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Geophysics (physics.geo-ph) #Geotechnical Engineering and Soil Mechanics #Geotechnical Engineering and Underground Structures #Geotechnical and construction materials studies #Materials Science (cond-mat.mtrl-sci)

paper · pdf · doi:10.48550/arxiv.1706.00910

openalex publication_date 2017/06/03 · openalex created_date 2017/06/15 · openalex updated_date 2026/07/28

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.

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