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Discrete Element Modelling of Crushable Tube-Shaped Grains

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Micro to MACRO Mathematical Modelling in Soil Mechanics

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

Abstract

This study focuses on highly compressible granular material incorporated in novel tunnel-lining technology, precisely, the prefabricated tunnel segments called voussoirs. The material composed of hollow, brittle, tube-shaped particles were designed such that the crushing of the constituent particles results in high material compressibility. This paper is essentially dedicated to discrete-element simulations that involve both the breakage of the particles at micro scale and the resulting effects on macro scale. Firstly, a 3D model was proposed in order to adequately reflect the complex geometry and the breakage manner. In applied strategy, the tube-shaped particle is modelled as a cluster of bonded, rigid, sphero-polyhedral sectors. Then, the identification of the parameters that control the mechanical response and the strength of the particles is presented using a radial compression test. This step was supported by laboratory experimental tests. Finally, six assemblies of cluster under oedometric loading were studied by means of Discrete Element numerical simulations. We analysed the influence of the sample size on the evolution of particles breakage and void ratios. This analysis resulted in the definition of new framework for void ratio and a model capable of predicting breakage as a function of the strains.

This research was complete at the 3SR Laboratory of the University of Grenoble. 3SR-Lab is part of the LabEx Tec 21 (Investissements d’Avenir, Grant Agreement No. ANR-11- LABX-0030).

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Stasiak, M. et al. (2018). Discrete Element Modelling of Crushable Tube-Shaped Grains. 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_35

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