Breakage mechanics—Part I: Theory

By I. Einav. 2007

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Modeling Mechanical Behavior of Very Coarse Granular Materials (2017, methodology): “Once the amount of grain breakage is determined, the actual GSD can be obtained by the formulation proposed by Einav (2007) FðdÞ 1⁄4 ð1 − B rÞF0ðdÞ þ B rFuðdÞ ð14Þ”
An approach to enhance efficiency of DEM modelling of soils with crushable grains (2015, background): “Such distribution can be expressed (Einav, 2007) as ENHANCING EFFICIENCY OF DEM MODELLING OF SOILS WITH CRUSHABLE GRAINS 93”
An investigation of single sand particle fracture using X-ray micro-tomography (2015, background): “…present study, there is no need to adopt the grain size cumulative distribution by mass such as Md( d )=MT¼ (d3 D dmin3 D )=(dmax3 D dmin3 D) suggested by Einav (2007), which can be used to back-calculate the number of fragments by assuming all particles are spherical (e.g. Zhang & Baudet, 2013).”
DEM analysis of energy dissipation in crushable soils (2012, background): “The fundamental importance of energy dissipation has been recognized and explored by a number of authors (McDowell and Bolton, 1998; Tarantino and Hyde, 2005; Ueng and Chen, 2000; Bolton et al., 2008; Einav 2007a, 2007b; Lee and Seed, 1967; Miura and O-hara, 1979).”