A novel coupled FDM‐DEM modelling method for flexible membrane boundary in laboratory tests. (17th December 2019)

• Record Type: Journal Article
• Authors: Zhu, Hua‐Xiang; Yin, Zhen‐Yu; Zhang, Qiang
• Is Part Of: International journal for numerical and analytical methods in geomechanics. Volume 44:Number 3(2020)
• Page Start: 389
• Page End: 404
• Publication Date: 2019-12-17
• Subjects: discrete element method -- finite difference method -- flexible boundary -- plane strain test -- shear band -- triaxial test; Soil mechanics -- Mathematics -- Periodicals; Rock mechanics -- Mathematics -- Periodicals; 624.1510151
• DOI: 10.1002/nag.3019
• Languages: English
• ISSNs: 0363-9061

Abstract

SUMMARY: Difficulties are involved in discrete element method (DEM) modelling of the flexible boundary, that is, the membranes covering the soil sample, which can be commonly found in contemporary laboratory soil tests. In this paper, a novel method is proposed wherein the finite difference method (FDM) and DEM are coupled to simulate the rubber membrane and soil body, respectively. Numerical plane strain and triaxial tests, served by the flexible membrane, are implemented and analysed later. The effect of the membrane modulus on the measurement accuracy is considered, with analytical formulae derived to judge the significance of this effect. Based on an analysis of stress‐strain responses and the grain rotation field, the mechanical performances produced by the flexible and rigid lateral boundaries are compared for the plane strain test. The results show that (1) the effect of the membrane on the test result becomes more significant at larger strain level because the membrane applies additional lateral confining pressure to the soil body; (2) the tested models reproduce typical stress and volumetric paths for specimens with shear bands; (3) for the plane strain test, the rigid lateral boundary derives a much higher peak strength and larger bulk dilatation, but a similar residual strength, compared with the flexible boundary. The latter produces a more uniform (or 'diffuse') rotation field and more mobilised local kinematics than does the former. All simulations show that the proposed FDM‐DEM coupling method is able to simulate laboratory tests with a flexible boundary membrane.