Failure of granular materials at different scales ‐ microscale approach

Meier, Holger; Kuhl, Ellen; Steinmann, Paul

doi:10.1002/pamm.200610180

Cited by 3 publications

(4 citation statements)

References 6 publications

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“…We would like to draw the attention of the geo-mechanical community to a class of particle packing methods developed in computational chemistry. These packing methods are extremely efficient and their outcome is congruent with the expectations of an irregular highly packed geometrically periodic representative volume element used in geo-mechanical multiscale methods, see Lubachevsky et al [10][11][12] for the original algorithm and Meier et al [13,14] for additional information. In contrast to the vast majority of rve generation schemes, the Lubachevsky-Stillinger algorithm is capable to incorporate geometric periodic boundaries in a natural way.…”

Section: Introductionmentioning

confidence: 75%

“…In the following, we will demonstrate how prescribed given grain size distributions can be incorporated straightforwardly in the classical Lubachevsky-Stillinger approach. Note, we do not aim to reach the highest possible packing density, rather than to produce a packing of particles, possessing geometric periodic boundaries, which is suitable in a multiscale approach, see [13,18]. For high packing densities we refer the interested reader to [19] and references therein.…”

Section: Introductionmentioning

confidence: 99%

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A note on the generation of periodic granular microstructures based on grain size distributions

Meier

Kuhl

Steinmann

2007

Num Anal Meth Geomechanics

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SUMMARYThis short communication discusses an algorithm suited for the generation of periodic microstructures of granular media. Its particular features are a user-defined grain size distribution, a representative volume element which is intrinsically periodic ab initio and a user-defined termination criterion, controlled by an increase of volume fraction. For low densities our particle packings resemble fluids or gases, while we aim to reach for rather dense particle packings, similar to granular solids. The generated microstructures can thus be readily incorporated into large multiscale simulations, e.g. on the integration point level of a finite element analysis of a particular sand or concrete. The individual grain size distribution of the granular medium is incorporated through the introduction of different growth rates governing the final particle size distribution. We briefly sketch the generation of the representative volume element within a serial event-driven scheme and demonstrate how periodic boundary conditions are ensured throughout the representative volume element generation process. The potential of the suggested algorithm will be illustrated through the generation of two different periodic multi-disperse microstructures. They are based on different given grain size distributions, one for a quartz sand with a low non-uniformity index and one for concrete aggregates classified as A32 by the German standard norm DIN 1045 to have a rather large variation in grain size.

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Section: Introductionmentioning

confidence: 75%

Section: Introductionmentioning

confidence: 99%

A note on the generation of periodic granular microstructures based on grain size distributions

Meier

Kuhl

Steinmann

2007

Num Anal Meth Geomechanics

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“…This particular type of computational homogenization allows the simulation of granular media in a natural way, employing a discrete method on the microscopic level and a continuum method on the macroscale. A common and favorable combination consists of the distinct element method (dem) of Cundall and Strack [5][6][7] on the microscale and a continuum method, e.g., the fem, on the macroscale, compare Borja and Wren [1], D'Addetta et al [8], Ehlers et al [9], Kaneko et al [11], Meier, Kuhl and Steinmann [16,18] or Miehe and Dettmar [20]. Based on the nature of the dem, i.e., the modeling and tracing of the individual grains, this particular combination emphasizes a perfect alliance, capable of providing deeper insight regarding the complicated behavior of granular assemblies.…”

Section: Introductionmentioning

confidence: 99%

On the Multiscale Computation of Confined Granular Media

Meier

Steinmann

Kuhl

ECCOMAS Multidisciplinary Jubilee Symposium

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This contribution sets the focal point on the macroscopic impact of microscopic boundary conditions of discrete granular assemblies. We propose a two scale homogenization approach, containing a micro and a macro level. The microscale, describing the mechanical behavior of the single grains, is modeled by a discrete element method. On the macroscale, a continuum is assumed, discretized by a standard finite element method. Each point on the macroscale is assumed to have a corresponding micro structure, linked by the concept of a representative volume element. As a representative quantity, we focus on the Reynolds principle of dilatancy. Representative numerical examples include a slope-stability test as well as a bi-axial compression test.

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“…To face this issue in the field of granular matters, the FEM × DEM multi-scale approach has been recently proposed by various researchers [1][2][3]. Its basic concept lies on replacement of the phenomenological model by the constitutive response of the material with the use of DEM computations.…”

Section: Introductionmentioning

confidence: 99%

FEM × DEM: a new efficient multi-scale approach for geotechnical problems with strain localization

et al. 2017

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The paper presents a multi-scale modeling of Boundary Value Problem (BVP) approach involving cohesive-frictional granular materials in the FEM × DEM multi-scale framework. On the DEM side, a 3D model is defined based on the interactions of spherical particles. This DEM model is built through a numerical homogenization process applied to a Volume Element (VE). It is then paired with a Finite Element code. Using this numerical tool that combines two scales within the same framework, we conducted simulations of biaxial and pressuremeter tests on a cohesive-frictional granular medium. In these cases, it is known that strain localization does occur at the macroscopic level, but since FEMs suffer from severe mesh dependency as soon as shear band starts to develop, the second gradient regularization technique has been used. As a consequence, the objectivity of the computation with respect to mesh dependency is restored.

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Failure of granular materials at different scales ‐ microscale approach

Cited by 3 publications

References 6 publications

A note on the generation of periodic granular microstructures based on grain size distributions

A note on the generation of periodic granular microstructures based on grain size distributions

On the Multiscale Computation of Confined Granular Media

FEM × DEM: a new efficient multi-scale approach for geotechnical problems with strain localization

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