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Simulation of the Influence of Grain Damage on the Evolution of Shear Strain Localization

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Continuous Media with Microstructure 2

Abstract

The influence of grain damage on shear strain localization in a lateral infinite granular layer under monotonic plane shearing is simulated using a micro-polar continuum description. The change of the grading of the grain sizes caused by grain damage is taken into account in a simplified manner by a reduction of the mean grain diameter, which is embedded in the constitutive model as an internal length. It is assumed that a reduction of the mean grain diameter caused by grain breakage and grain abrasion is related to an increase in the pressure, the micro-rotation and the micro-curvature. A reduction of the grain sizes is accompanied by a reduction of the limit void ratios and a reduction of the material against compaction. In the constitutive model the decrease of the mean grain diameter is linked to the so-called solid hardness, which is defined within a continuum description. The proposed concept of reduction of the mean grain diameter and the solid hardness is embedded in a micro-polar hypoplastic model. The results of the numerical simulations show that the reduction of the mean grain diameter has a significant effect on the evolution of the void ratio within the zone of shear strain localization.

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Acknowledgments

The assistance of Mr. Linke Li in calibrating the model and running the numerical simulations presented in the paper is gratefully acknowledged.

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Authors and Affiliations

  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. Faculty of Engineering, University of Duisburg-Essen, Essen, Germany

    Bettina Albers

  2. Poznan University of Technology, Faculty of Civil and Environmental Engin, Poznań, Poland

    Mieczysław Kuczma

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Bauer, E. (2016). Simulation of the Influence of Grain Damage on the Evolution of Shear Strain Localization. In: Albers, B., Kuczma, M. (eds) Continuous Media with Microstructure 2. Springer, Cham. https://doi.org/10.1007/978-3-319-28241-1_16

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  • DOI: https://doi.org/10.1007/978-3-319-28241-1_16

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-28239-8

  • Online ISBN: 978-3-319-28241-1

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