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Kinetic energy and collapse of granular materials

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Abstract

This paper attempts to elucidate the mechanism of failure in rate-independent granular materials using the discrete element method. For this purpose, the dynamic response of dense and loose specimens has been simulated over drained and undrained loading paths. Then, this paper revisits the relation between the occurrence of an outburst in kinetic energy with the second-order works evolution. It is shown that the prediction of the evolution of the specimen’s kinetic energy over time, according to the second-order work approach, is satisfactorily verified by the discrete numerical simulations. In particular, the conflict between external and internal second-order works is shown to play a basic role during the failure process.

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Authors and Affiliations

  1. INSA Lyon, Lyon, France

    Hien N. G. Nguyen, Florent Prunier & Irini Djeran-Maigre

  2. Grenoble Alpes Université, IRSTEA, Grenoble, France

    François Nicot

Authors
  1. Hien N. G. Nguyen
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  2. Florent Prunier
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  3. Irini Djeran-Maigre
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  4. François Nicot
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Corresponding author

Correspondence to François Nicot.

Appendix: Calibration of the numerical specimen

Appendix: Calibration of the numerical specimen

The numerical YADE model is calibrated based on the experimental work of Royis and Doanh [21] and compared with the simulation of Calvetti et al. [4]. The procedure of the calibration is summarized below:

  • Because of the limitation of the numerical tool, the same grain size distribution as Hostun sand in the experimental study was not reproduced. The grain sizes are randomly generated and the void ratio \(e=0.65\) was selected.

  • Then, the parameters \(k_t, k_n, \varphi _c\) are modified to match the numerical results as close as possible to the experimental data.

The parameters of the discrete model are shown in Table 2, and these parameters are compared with those used by Calvetti et al. [4]. Figure 18 shows the comparison of the deviatoric stress q and the volumetric strain \(\varepsilon _v\) over a the drained triaxial test between experimental results [21] and two numerical models.

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Nguyen, H.N.G., Prunier, F., Djeran-Maigre, I. et al. Kinetic energy and collapse of granular materials. Granular Matter 18, 5 (2016). https://doi.org/10.1007/s10035-016-0609-1

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  • DOI: https://doi.org/10.1007/s10035-016-0609-1

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