Technical Papers
May 9, 2017

Stress–Force–Fabric Relationship for Unsaturated Granular Materials in Pendular States

Publication: Journal of Engineering Mechanics
Volume 143, Issue 9

Abstract

This paper explores the particle-scale origin of the additional shear strength of unsaturated granular materials in pendular states induced by the capillary effect by applying the stress–force–fabric (SFF) relationship theory to unsaturated granular material stress analysis. The work is based on discrete element simulations with the particle interaction model modified to incorporate the capillary effect. By decomposing the total stress tensor into a contact stress tensor originating from contact forces and a capillary stress tensor due to the capillary effect, the directional statistics of particle-scale information are examined. The observations are used to support the choice of the appropriate analytical approximations for the directional distributions associated with the solid skeleton and water bridges. The SFF relationship for unsaturated granular materials is formulated, and is shown to match the material stress state with good accuracy and is used to interpret the material strength in terms of the relevant microparameters. Macro and micro observations are carried out on both relatively dense and loose samples in triaxial shearing path to the critical state. The capillary force remains nearly isotropic during triaxial shearing. Anisotropy in the water bridge probability density, however, develops alongside the anisotropy in contact normal density, which decreases when the suction level decreases and the water content increases. The anisotropy effect in the water phase is much smaller than the solid skeleton, and a coupling effect with the solid phase makes the fabric anisotropy in wet materials smaller than that in dry materials. Combined with the SFF function, the increased solid coordination numbers and mean contact forces by the water bridge effect are more important factors for the suction-induced shear strength.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 143Issue 9September 2017

History

Received: May 4, 2016
Accepted: Feb 13, 2017
Published online: May 9, 2017
Published in print: Sep 1, 2017
Discussion open until: Oct 9, 2017

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Postdoctoral Researcher, Building Architecture and Town Planning Department (BATir), Université Libre de Bruxelles, Ave. F.D. Roosevelt 50, CP 194/2, 1050 Brussels, Belgium; formerly, Ph.D. Student, Nottingham Centre for Geomechanics, Faculty of Engineering, Univ. of Nottingham, Nottingham NG7 2RD, U.K. ORCID: https://orcid.org/0000-0001-7082-8864. E-mail: [email protected]
Xia Li, Ph.D. [email protected]
Professor, School of Civil Engineering, Southeast Univ., Nanjing 210018, China; Key Laboratory of Concrete and Prestressed Concrete Structures of the Ministry of Education, Southeast Univ., Nanjing 210018, China; formerly, Assistant Professor, Dept. of Chemical and Environmental Engineering, Faculty of Engineering, Univ. of Nottingham, Nottingham NG7 2RD, U.K. E-mail: [email protected]
Hai-Sui Yu, Ph.D. [email protected]
Professor, School of Civil Engineering, Faculty of Engineering, Univ. of Leeds, Leeds LS2 9JT, U.K. (corresponding author). E-mail: [email protected]

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