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Desiderata Geotechnica pp 1–20Cite as

Modelling Grain Fragmentation in Hypoplasticity

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Part of the book series: Springer Series in Geomechanics and Geoengineering ((SSGG))

Abstract

The focus of the present paper is on constitutive modelling of the influence of grain fragmentation on the mechanical behaviour of cohesionless granular materials like sand, gravel or broken rock. To this end the so-called solid hardness of a grain assembly is defined within a continuum description and is a key parameter for modelling the effect of both grain fragmentation and grain rearrangement. While in the original version by Bauer the solid hardness is a constant parameter, an extended concept has recently been proposed where the solid hardness is considered as a state dependent quantity. The general format of the evolution equation for the solid hardness allows the modelling of the influence of various factors on grain fragmentation. Such factors are, for instance, an increase in the mean stress, the deviatoric stress and the rotation resistance of particles and also a time dependent process caused by progressive weathering. The embedding of the solid hardness into hypoplasticity follows the consistency condition originally proposed by Gudehus. In this paper the consistency condition is also applied to proposed constitutive equations for time independent as well as rheological material properties. The performance of these different models is verified with experiments.

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Acknowledgements

The author wishes to thank Professor W. Huang and Dr. Z. Fu for the fruitful discussion of extended numerical tools used for the simulations. The assistance of Dr. L. Li and Mr. S. Safikhani in preparing the drawings presented in the paper is gratefully acknowledged.

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  1. Institute of Applied Mechanics, Graz University of Technology, 8010, Graz, Austria

    Erich Bauer

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  1. Erich Bauer
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Correspondence to Erich Bauer .

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  1. Institut für Geotechnik, Universität für Bodenkultur, Vienna, Austria

    Wei Wu

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Bauer, E. (2019). Modelling Grain Fragmentation in Hypoplasticity. In: Wu, W. (eds) Desiderata Geotechnica. Springer Series in Geomechanics and Geoengineering. Springer, Cham. https://doi.org/10.1007/978-3-030-14987-1_1

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  • DOI: https://doi.org/10.1007/978-3-030-14987-1_1

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