Finite element study of patterns of shear zones in granular bodies during plane strain compression

Abstract

Numerical investigations of patterns of shear zones in granular bodies obtained during quasi-static plane strain compression tests were performed. The effect of a spatially correlated stochastic distribution of the initial void ratio and roughness of horizontal plates was analyzed. To describe a mechanical behavior of a cohesionless granular material during a monotonic deformation path in a plane strain compression test, a micro-polar hypoplastic constitutive model was used. FE calculations were carried out with both initially dense and initially loose cohesionless sand. A Latin hypercube method was applied to generate Gaussian truncated random fields of initial void ratio in a granular specimen. A weak correlation of the initial void ratio in both directions and its large standard deviation were assumed for all specimens. The horizontal boundaries were either ideally smooth or very rough. The FE results show similar patterns of shear zones as compared to experiments.

Structural optimization in geotechnical engineering: basics and application

“…Recently, the model was extended to include cohesive soils (Huang et al [7], Weifner and Kolymbas [20], Mašín and Herle [10], Bauer [3]). Numerical investigation of boundary value problems using hypoplastic constitutive models was reported recently by Henke and Grabe [6], Salciarini and Tamagnini [14], Tejchman and Górski [18]. The identification of parameters in the hypoplastic model was discussed by Rondón et al [13], Guo [5] for a large number of soil types.…”

Simulation of buckling process of cylindrical metal silos with flat sheets containing bulk solids

“…In the next step, the FE analyses will be performed for silo flow (mass and funnel flow) using the enhanced hypoplastic constitutive model to capture shear localization and the ALE approach to capture large deformation [19,68]. Statistical effects with respect to the solid void ratio distribution in bulk solids induced by the filling method will be taken into account [69,70].…”

Anisotropic visco-hypoplasticity

“…The values of T nþ1 ; X nþ1 and p Bn?1 appear on both sides of Eqs. (61)(62)(63) being hidden in the expressions E; m and OCR on the right-hand side. These equations will need to be solved for the unknown tensors T nþ1 and X nþ1 : The third equation is also implicit, but it is sufficiently simple (linear with respect to p Bn?1 ) to be directly solved:…”

“…Moreover, hypoplastic constitutive models have been used to solve numerous boundary value problems, e.g. earth retaining wall [61], shallow foundation [52,58], pile foundation [22], shear band formation [62] and site response analysis [50].…”