Grain Rotation-Based Analysis Method for Shear Band
Publication: Journal of Engineering Mechanics
Volume 145, Issue 10
Abstract
The grain rotational field is significantly associated with the shear banding process and can be derived easily on the basis of individual grains, which could be an appropriate and convenient quantity in shear band analysis. In this paper, a novel method is proposed for directly analyzing the shear banding process in the granular assembly based on its grain rotational field. Numerical plain strain tests on a dense (S1) and an intermediate dense specimen (S2) are performed using the coupled discrete-element method (DEM) and finite-difference method (FDM). The grain rotational field is statistically characterized by the rotational distribution , a new index defined as the volumetric percentage of grains rotating to a greater degree than the rotation , in which the high rotation (HR) section basically indicates the grains inside the shear band. A measurement of ’s uniformity quantifies the degree of strain localization, and S2 is found to perform a more uniform rotational distribution than does S1. Taking the value of at which ’s curvature is higher than a threshold as the boundary of the HR section, HR grains are filtered out of the sample, based on which the inclination and thickness of the shear band, as well as two local quantities (average void ratio and coordination number) inside the shear band, are analyzed.
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Acknowledgments
This study was financially supported by the National Natural Science Foundation of China (Grant No. 51579179), and a RIF project (Grant No. PolyU R5037-18F) from Research Grants Council (RGC) of Hong Kong Special Administrative Region Government (HKSARG) of China.
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Published In
Journal of Engineering Mechanics
Volume 145 • Issue 10 • October 2019
Copyright
©2019 American Society of Civil Engineers.
History
Received: Aug 10, 2018
Accepted: Feb 19, 2019
Published online: Jul 17, 2019
Published in print: Oct 1, 2019
Discussion open until: Dec 17, 2019
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