Validation of the log e–log σ normal compression law using particle strength data

Abstract

This note is a study of experimental data on particle strength and normal compression, to establish whether the normal compression law proposed by McDowell and de Bono in 2013 is supported and confirmed. A number of different sands are examined and found to support the hypothesis. In addition, some new simulations on sand mixtures are used to explain experimental results for quartz–feldspar mixtures. It would appear that the proposed compression law is also supported by the data for the sand mixtures.

Relating Hydraulic Conductivity to Particle Size Using DEM

“…Recent work based on fractal theory and statistics of soil particle strengths has quantified the rate at which the volume of soil reduces when subjected to monotonic increasing stress (de Bono and McDowell 2018a;McDowell 2005). This was based on the fact that the porosity or void ratio of a granular soil must be controlled by the smallest particle size, d sm .…”

Revisiting Hardin’s parameters for the quantification of particle breakage – A statistical entropy approach

“…The value of the breakage stress ('b) was determined by [8] as a function of the normal and shear stresses. It is therefore akin to breakage limits like that defined by [6] and now commonly used by other researchers on the basis of more rigorous theories. With reference to Fig.…”

“…A key aspect in some of these critical state models is the inclusion of grading-dependent parameters, as it is well recognised that particle crushing affects the behaviour of granular materials. The crushing of particles when subject to stress produces changes in particle size distribution (PSD) that in turn affect the behaviour of soils during compression [4], and the location and/or inclination of the CSL [5][6][7]. Within this context, parameters to quantify the evolution of the PSD and to predict the amount of particle breakage produced under certain stress conditions are often used [8][9][10].…”

Apport expérimental de la méthode de compactage statique des sols au laboratoire

“…Après ce fort tassement, la courbe de compressibilité tend à rejoindre celle du sable anguleux de même nature. De son côté, la nature minéralogique de la roche qui constitue les grains contrôle leur résistance à l'écrasement (Hagerty et al, 1993 ;Pestana et Whittle, 1995 ;McDowell et Bolton, 1998 ;Chuhan et al, 2003 ;Sheng et al, 2008 ;Dadda et al, 2015 ;Wu et al, 2016 ;De Bono et McDowell, 2017). Les grains les plus friables produisent les seuils s' ay les plus faibles, puis des transitions continues, contrairement aux grains de quartz.…”

“…Il s'agit notamment du domaine du pressage des poudres ou celui des essais à très haute pression effectués sur les sols granulaires. La loi bi-logarithmique (log(s' a ), log(e)) est souvent mise en avant parmi ces formulations empiriques (Pestana et Whittle, 1995 ;Russell, 2011 ;Hong et al, 2012 ;Sharma et Ismail, 2016 ;De Bono et McDowell, 2017).…”