Technical Papers
Feb 7, 2019

Deformation of Granular Material under Continuous Rotation of Stress Principal Axes

Publication: International Journal of Geomechanics
Volume 19, Issue 4

Abstract

The mechanical response of granular material to the rotation of stress principal axes is an issue of both practical and theoretical importance in soil mechanics. This study used a two-dimensional (2D) discrete-element method (DEM) simulation to investigate the deformation of granular material under the continuous rotation of stress principal axes while maintaining fixed principal stress values. The results show that under such rotation, the deformation can exceed that caused by fixed principal stress axes cyclic biaxial compression with a maximum deviatoric stress ratio that equals the fixed stress ratio during rotation. The volumetric strain was found to be contractive overall while oscillating within each load cycle for specimens with significant fabric anisotropy. The initial fabric-anisotropy orientation was found to have little influence on the overall evolution of volumetric strain, although it was found to affect the development of shear strain. During the cycles of rotation of initial stress principal axes, the dilatancy of granular material, in the contractive direction, was found to be dominated by the evolving orientation of the major principal stress axis in reference to the initial major principal stress axis during anisotropic consolidation, and the influence of the initial fabric-anisotropy orientation was found to be trivial. As stress rotation continued, the influence of the relative orientation between stress and fabric became prominent, causing the material to dilate when the major principal stress axis rotated from the normal of the bedding plane to being perpendicular to it and causing contraction during the other half of the cycle.

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Acknowledgments

The authors thank the National Natural Science Foundation of China (51708332 and 51678346) for funding the work presented in this paper. Y. F. Dafalias acknowledges support by the European Research Council under the European Union's Seventh Framework Program (FP7/2007-2013)/ERC IDEAS Advanced Grant Agreement 290963 and partial support by the National Sciences Foundation (NSF) Project CMMI-1162096. This article is LLNL report LLNL-JRNL-744427.

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Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 19Issue 4April 2019

History

Received: May 3, 2018
Accepted: Oct 5, 2018
Published online: Feb 7, 2019
Published in print: Apr 1, 2019
Discussion open until: Jul 7, 2019

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Authors

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Rui Wang, M.ASCE
Assistant Researcher, Dept. of Hydraulic Engineering State Key Laboratory of Hydroscience and Engineering, Tsinghua Univ., Beijing 100084, China.
Pengcheng Fu
Staff Scientist, Atmospheric, Earth, and Energy Division, Lawrence Livermore National Laboratory, 7000 East Ave., Livermore, CA 94551.
Jian-Min Zhang [email protected]
Professor, National Engineering Laboratory for Green and Safe Construction Technology in Urban Rail Transit, Tsinghua Univ., Beijing 100084, China (corresponding author). Email: [email protected]
Yannis F. Dafalias, F.ASCE
Professor, Dept. of Civil and Environmental Engineering, Univ. of California, Davis, CA 95616; Professor Emeritus, Dept. of Mechanics School of Applied Mathematical and Physical Sciences, National Technical Univ. of Athens, Zografou 15780, Athens, Greece.

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