Modeling deformation banding in dense and loose fluid-saturated sands

Andrade, José E.; Borja, Ronaldo I.

doi:10.1016/j.finel.2006.11.012

Cited by 62 publications

(27 citation statements)

References 63 publications

(105 reference statements)

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“…This approach of interpolating the displacement field along with another scalar field has a long tradition in nonlocal and multi-physics problems in mechanics, which we draw upon in developing our formulation. Examples include thermo-mechanically-coupled problems (displacement and temperature); poromechanics problems (displacement and pore fluid pressure) [44,45]; chemomechanically-coupled problems (displacement and chemical potential) [46]; electro-mechanicallycoupled problems (displacement and electric field) [47,48]; phase-field modeling of brittle fracture (displacement and a scalar phase-field damage variable) [49,50]; and both implicit and explicit gradient plasticity (displacement and a scalar plastic strain or strain-like variable) [18,22]; among others. The body is spatially discretized using finite elements, B t = ∪B e , and the functional sets S u , S g , V ϕ , and V ̟ are replaced with finite-dimensional subsets,…”

Section: Finite-element Implementationmentioning

confidence: 99%

A finite element implementation of the nonlocal granular rheology

Henann¹,

Kamrin²

2016

Numerical Meth Engineering

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SUMMARYInhomogeneous flows involving dense particulate media display clear size effects, in which the particle length scale has an important effect on flow fields. Hence, nonlocal constitutive relations must be used in order to predict these flows. Recently, a class of nonlocal fluidity models have been developed for emulsions and subsequently adapted to granular materials. These models have successfully provided a quantitative description of experimental flows in many different flow configurations. In this work, we present a finiteelement-based numerical approach for solving the nonlocal constitutive equations for granular materials, which involve an additional, non-standard nodal degree-of-freedom -the granular fluidity, which is a scalar state parameter describing the susceptibility of a granular element to flow. Our implementation is applied to three canonical inhomogeneous flow configurations: (i) linear shear with gravity, (ii) annular shear flow without gravity, and (iii) annular shear flow with gravity. We verify our implementation, demonstrate convergence, and show that our results are mesh-independent.

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Section: Finite-element Implementationmentioning

confidence: 99%

A finite element implementation of the nonlocal granular rheology

Henann¹,

Kamrin²

2016

Numerical Meth Engineering

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“…One possible alternative, which we follow herein, is to use continuum models that introduce information from lower scales such as the meso-scale. This meso-scale model has previously been used to simulate the behavior of sands under drained and undrained conditions using a deterministic framework [10][11][12]. Here, finite element models are constructed to simulate the behavior of dense sands under plane-strain loading under drained conditions.…”

Section: Introductionmentioning

confidence: 99%

Random porosity fields and their influence on the stability of granular media

Andrade

Baker

Ellison

2007

Num Anal Meth Geomechanics

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SUMMARYIt is well established that the mechanical behavior of granular media is strongly influenced by the media's microstructure. In this work, the influence of the microstructure is studied by integrating advances in the areas of geostatistics and computational plasticity, by spatially varying the porosity on samples of sand. In particular, geostatistical tools are used to characterize and simulate random porosity fields that are then fed into a nonlinear finite element model. The underlying effective mechanical response of the granular medium is governed by a newly developed elastoplastic model for sands, which readily incorporates spatial variability in the porosity field at the meso-scale. The objective of this study is to assess the influence of heterogeneities in the porosity field on the stability of sand samples. One hundred and fifty isotropic and anisotropic samples of dense sand are failed under plane-strain compression tests using Monte Carlo techniques. Results from parametric studies indicate that the axial strength of a specimen is affected by both the degree and orientation of anisotropy in heterogeneous porosity values with anisotropy orientation having a dominant effect, especially when the bands of high porosity are aligned with the natural orientation of shear banding in the specimen.

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“…Eq. (4)) and fluid flowing into the localized zone (Andrade and Borja, 2007). A striking finding is that such a flow pattern is observed much earlier than a shear band can be identified, which indicates the flow pattern can be used as a better predictor for the onset of shear band in a fluid-saturated soil.…”

Section: Strain Localization and Flow Patternmentioning

confidence: 95%

Hierarchical multiscale modeling of fluid-saturated soils

Guo

Zhao

2016

JGS Special Publication

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This paper presents an extension of a hierarchical multiscale computational method previously developed by the authors to model the behavior of fluid-saturated soils. The original hierarchical multiscale framework is based on rigorous coupling between the finite element method (FEM) and the discrete element method (DEM). It helps to bypass the phenomenological constitutive model in the conventional FEM modeling, and meanwhile faithfully reproduces the typical soil behaviors by DEM simulations at the Gauss points of the FEM mesh which naturally offers great convenience for cross-scale analysis. The current study features a key extension of the framework to further consider the coupled hydro-mechanical behavior in saturated soils based on the u-p formulation. It enables us to take into account the effects of pore fluid pressure and pore fluid flow on the mechanical responses of soil, while retaining reasonable computational efficiency. The approach is first benchmarked by a classic 1D consolidation problem, where the numerical predictions are compared against the closed-form solution. It is further applied to the simulation of a globally undrained biaxial compression test on a dense soil. The interplay between the fluid flow and the strain localization observed in the sample is discussed.

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Modeling deformation banding in dense and loose fluid-saturated sands

Cited by 62 publications

References 63 publications

A finite element implementation of the nonlocal granular rheology

A finite element implementation of the nonlocal granular rheology

Random porosity fields and their influence on the stability of granular media

Hierarchical multiscale modeling of fluid-saturated soils

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