The application of Weibull statistics to the strength of railway ballast

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On the micro mechanics of one-dimensional normal compression (2013, methodology): “In the work on particle strength using agglomerates by McDowell (e.g. Lim et al., 2004), although agglomerates could break under complex distributions of loads, no consideration was given to the stress induced by multiple contacts, other than for simple diametral loading.”
The effect of size on the strength of coarse rock aggregates and large rockfill samples through experimental data (2014, background): “1 Comparison of theoretical prediction of the size effect exponent with the empirical fitted value for different ballast materials (results from [20])”
Discrete Element Method Analysis of Railtrack Ballast Degradation during Cyclic Loading (2006, methodology): “By measuring the strength of individual ballast particles subjected to a diametrical compression test, McDowell et al. [19] and Lim et al. [ 14 ] showed that particle strength reduces when increasing particle size.”
An approach to enhance efficiency of DEM modelling of soils with crushable grains (2015, result): “, 1999b; McDowell & Amon, 2000; Lobo-Guerrero & Vallejo, 2006) have found that the same value of the Weibull modulus is able to fit both the variability at a given scale and the variability across scales, yet others (Jansen & Stoyan, 2000; Lim et al., 2004; Brzesowsky et al., 2011) obtain the opposi”