Abstract
Most granular materials encountered in nature and industry lie either in the quasi-static regime or the intermediate dense flow regime. A unified constitutive model for granular material in the quasi-static and dense flow regimes is introduced. The main granular particles interactions controlling the mechanical behaviors, frictional contact and collision, are taken into account using the Mohr-Coulomb model and a Bagnold-type relation, respectively. Granular flows in three simple configurations, i.e., plain shear, vertical chute flow and flow on an inclined plane, are studied. Analytical solutions based on the presented unified model are obtained. Comparison between results from the presented model and the μ(I) model indicates that the explicit partition of frictional and collisional stress components provides insights in dense granular flows.
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Acknowledgements
The authors acknowledge the funding from the European Commission Seventh Framework Programme project Multiscale Modelling of Landslides and Debris Flows (MUMOLADE, No. 289911) and HORIZON 2020 project Geohazards Risk Assessment, Mitigation and Prevention (GEO-RAMP, No. 645665). C. Peng wishes to acknowledge the financial support from the Otto Pregl Foundation for Fundamental Geotechnical Research in Vienna.
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Peng, C., Guo, X., Wu, W. (2019). Analytical Solutions for Steady Granular Flows in Simple Configurations. In: Wu, W. (eds) Recent Advances in Geotechnical Research. Springer Series in Geomechanics and Geoengineering. Springer, Cham. https://doi.org/10.1007/978-3-319-89671-7_13
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DOI: https://doi.org/10.1007/978-3-319-89671-7_13
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