Abstract
The paper presents three-dimensional simulation results of granular vortex structures in cohesionless initially dense sand during quasi-static plane strain compression. The sand behaviour was simulated using the discrete element method (DEM). Sand grains were modelled by spheres with contact moments to approximately capture the irregular grain shape. The Helmholtz–Hodge decomposition of the displacement vector field obtained with DEM was used. The variational discrete multiscale vector field decomposition allowed for separating a vector field into the sum of three uniquely defined components: curl free, divergence free and harmonic. A direct correlation between vortex structures and shear localization was studied. The simulation results showed that vortex structures were closely connected to spontaneous shear localization. They localized early in locations wherein a shear zone ultimately developed. They were affected by the specimen depth.
Highlights
Localization of deformation in the form of narrow zones of intense shearing is a basic phenomenon in granular materials [1,2,3,4,5]
The 2D vortices were frequently observed in experiments on granular materials (Couette shear [10], plane strain compression [11] and simple shear [12,13]) and in calculations using the discrete element method (DEM) [14,15,16,17,18,19,20,21,22,23]
We report on some DEM results of plane strain compression in sand
Summary
Localization of deformation in the form of narrow zones of intense shearing is a basic phenomenon in granular materials [1,2,3,4,5]. The 2D vortices were frequently observed in experiments on granular materials (Couette shear [10], plane strain compression [11] and simple shear [12,13]) and in calculations using the discrete element method (DEM) [14,15,16,17,18,19,20,21,22,23]. They became apparent in experiments and calculations (mainly in shear zones in the residual state) when the motion
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