A two-scale model of granular materials

Wellmann, Christian; Wriggers, Peter

doi:10.1016/j.cma.2010.12.023

Cited by 110 publications

(70 citation statements)

References 28 publications

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“…In a general sense, it is possible classify the multiscale models into the concurrent method [9,85,63,32,33,48,27,118,68,127,20] and the homogenization method, on the latter one will be focused this article. The main feature of a generic concurrent multiscale method is that coarse-and fine-scale regions are processed simultaneously.…”

Section: Review Of Multiscale Methodsmentioning

confidence: 99%

Multiscale Computational Homogenization: Review and Proposal of a New Enhanced-First-Order Method

Otero

Oller

Martı́nez

2016

Arch Computat Methods Eng

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Aquesta és una còpia de la versió author's final draft d'un article publicat a la revista Archives of computational methods in engineering. Abstract The continuous increase of computational capacity has encouraged the extensive use of multiscale techniques to simulate the material behaviour on several fields of knowledge. In solid mechanics, the multiscale approaches which consider the macro-scale deformation gradient to obtain the homogenized material behaviour from the micro-scale are called first-order computational homogenization. Following this idea, the second-order FE2 methods incorporate high-order gradients to improve the simulation accuracy. However, to capture the full advantages of these high-order framework the classical Boundary Value Problem (BVP) at the macro-scale must be upgraded to high-order level, which complicates their numerical solution. With the purpose of obtaining the best of both methods i.e. firstorder and second-order, in this work an enhanced-firstorder computational homogenization is presented. The proposed approach preserves a classical BVP at the macro-scale level but taking into account the high-order gradient of the macro-scale in the micro-scale solution. The developed numerical examples show how the proposed method obtains the expected stress distribution at the micro-scale for states of structural bending loads. Nevertheless, the macro-scale results achieved are the same than the ones obtained with a first-order framework because both approaches share the same macroscale BVP.

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Section: Review Of Multiscale Methodsmentioning

confidence: 99%

Multiscale Computational Homogenization: Review and Proposal of a New Enhanced-First-Order Method

Otero

Oller

Martı́nez

2016

Arch Computat Methods Eng

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“…Meshfree methods allow large deformations and topological changes without need for remeshing [12]. This makes them well suited for fracturing materials and transitions from solid into viscous and free-surface flow, or from continuum to particulate level of detail when using multi-scale methods [13,14] or model reduction techniques [15].…”

Section: Particulate-based Solidsmentioning

confidence: 99%

Particle-based solid for nonsmooth multidomain dynamics

Nordberg

Servin

2017

Comp. Part. Mech.

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A method for simulation of elastoplastic solids in multibody systems with nonsmooth and multidomain dynamics is developed. The solid is discretised into pseudoparticles using the meshfree moving least squares method for computing the strain tensor. The particle's strain and stress tensor variables are mapped to a compliant deformation constraint. The discretised solid model thus fit a unified framework for nonsmooth multidomain dynamics simulations including rigid multibodies with complex kinematic constraints such as articulation joints, unilateral contacts with dry friction, drivelines, and hydraulics. The nonsmooth formulation allows for impact impulses to propagate instantly between the rigid multibody and the solid. Plasticity is introduced through an associative perfectly plastic modified Drucker-Prager model. The elastic and plastic dynamics are verified for simple test systems, and the capability of simulating tracked terrain vehicles driving on a deformable terrain is demonstrated.

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“…This constant is taken here following the ideas of Wellmann and Wriggers (2012), wherein ξ is the damping rate of the collision (which must be specified) and m * is the effective mass of the contacting pair, i.e., Fig. 3 (top part) provides a schematic illustration of the contact/collision for a contacting pair.…”

Section: System Pseudo Dynamicsmentioning

confidence: 99%

Rapid Generation of Particle Packs at High Packing Ratios for DEM Simulations of Granular Compacts

Campello

Cassares

2016

Lat. Am. j. solids struct.

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In this work we present a simple, fast technique for generating particle packs at high packing ratios aiming at the simulation of granular compacts via the discrete element method (DEM). We start from a random sequence addition particle generation algorithm to generate a "layer" of non-overlapping spherical particles that are let to evolve dynamically in time under the action of "compacting" or "jamming" pseudo forces. A "layer-by-layer" approach is then followed to generate multiple layers on top of each other. In the end, very dense packs with pre-defined bulk shapes and sizes (e.g. rectangles in two dimensions and prisms in three dimensions) are achieved. The influence of rolling motion (with particle rotation and spin) along with inter-particle friction on the density and ordering of the generated packs is assessed. Both congruent and inhomogeneous packs (with respect to particle sizes) are created and their packing properties evaluated. We believe that simple techniques for fast generation of particle packs at high packing ratios are essential tools for the DEM simulation of granular compacts.

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A two-scale model of granular materials

Cited by 110 publications

References 28 publications

Multiscale Computational Homogenization: Review and Proposal of a New Enhanced-First-Order Method

Multiscale Computational Homogenization: Review and Proposal of a New Enhanced-First-Order Method

Particle-based solid for nonsmooth multidomain dynamics

Rapid Generation of Particle Packs at High Packing Ratios for DEM Simulations of Granular Compacts

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