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A Conceptual Framework for Particle Crushing: From the Strength of the Particle to the Evolution of the Granular Distribution

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Micro to MACRO Mathematical Modelling in Soil Mechanics

Part of the book series: Trends in Mathematics ((TM))

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Abstract

A simple mechanical model is proposed to estimate the extent of particle breakage in granular media, based on micromechanical considerations. Through simple log-linear idealizations, the model is able to capture the typical macroscopic behaviors of a crushable soil. Grain crushing is measured in terms of a newly developed breakage parameter, the slope of the grain size distribution (GSD) in a log-log space. A single parameter, representative of the strength of the grain, is needed for the model calibration. Through this important feature, the model is shown to be valid in both saturated and unsaturated conditions. This model can be applied for engineering problems, to quickly estimate the evolution of the GSD in various conditions of loading and saturation. It can also be implemented into constitutive models as a clastic hardening rule, for more complete simulations.

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Correspondence to Younes Salami .

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Salami, Y., Konrad, JM. (2018). A Conceptual Framework for Particle Crushing: From the Strength of the Particle to the Evolution of the Granular Distribution. In: Giovine, P., Mariano, P., Mortara, G. (eds) Micro to MACRO Mathematical Modelling in Soil Mechanics. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-99474-1_29

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