Stress in Wet Granular Media with Interfaces via Homogenization and Discrete Element Approaches
Publication: Journal of Engineering Mechanics
Volume 142, Issue 12
Abstract
The nature of the stress tensor for an unsaturated pendular-state granular medium is investigated by following two micromechanical approaches. Firstly, a stress tensor is analytically derived through stress-homogenization of the medium with internal surfaces being explicitly incorporated in addition to the solid, liquid, and gaseous volumes. As such, the derivation identifies a surface stress tensor associated with the liquid–gas interface endowed with distributed surface tension forces. Secondly, numerical simulations of unsaturated conditions are pursued within the discrete element method (DEM) which can only consider resultant point forces, whereas actual internal forces are indeed distributed in nature, e.g., the liquid pressure which acts over the wetted surfaces. Despite this shortcoming, stress descriptions provided by these two fundamentally distinct approaches are found to be equivalent for unsaturated media subjected to mechanical and hydraulic loading in the pendular regime. Moreover, both approaches indicate that the capillary stress, interpreted as the part of the total stress representing the combined effects of the liquid and gas phases and interfaces, is driven by the microstructure and is thus generally nonspherical.
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Acknowledgments
This work was funded by the Natural Sciences and Engineering Research Council of Canada and Foundation CMG. The authors gratefully acknowledge rich discussions with Rakulan Sivanesapillai (Institute of Mechanics, Ruhr-Universität Bochum, Germany) and Félix Darve (3SR, Grenoble Universités, France). They also extend a warm thank-you to Mahdad Eghbalian, a Doctoral student within the authors’ research group, for his attempts to demonstrate analytically the equivalence between Eqs. (19) and (20) in the framework of the toroidal approximation.
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© 2016 American Society of Civil Engineers.
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Received: Jan 29, 2016
Accepted: Jul 7, 2016
Published online: Sep 6, 2016
Published in print: Dec 1, 2016
Discussion open until: Feb 6, 2017
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