Details
| Original language | English |
|---|---|
| Article number | 114163 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 387 |
| Early online date | 23 Sept 2021 |
| Publication status | Published - 15 Dec 2021 |
Abstract
Systems composed of numerous particles, as granular materials, can be simulated by the discrete element method (DEM). There are numerous versions of DEM considering particle shapes as spheres, superellipsoids, polyhedra and others. Classically, particles are considered rigid and the only flexibility present in the model is local, embedded in the contact interface model. Such treatment seems not to be adequate when one is interested in simulating phenomena dependent on the general flexibility of particles and investigating their effects in granular media. The present work proposes a method to introduce flexible particles of polyhedral shape within the DEM context. We employ the Virtual Element Method (VEM) for the spatial discretization of particles, taking advantage of its geometrical versatility, modeling each particle with a single-element. The dynamical behavior of the resulting particle system is predicted using an implicit time-integration. Contact between polyhedral particles (possibly non-convex) is addressed by the master–master contact technique and its degenerations, employing a barrier-based interface law. Examples include studies and discussions on the VEM's stiffness and mass stabilization parameters, such as simulations of systems composed of flexible polyhedral particles as a sand-material pack under compression and a hopper discharging process.
Keywords
- Discrete element method, Friction, master–master contact, Polyhedra, Virtual Element Method
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- General Physics and Astronomy
- Computer Science(all)
- Computer Science Applications
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In: Computer Methods in Applied Mechanics and Engineering, Vol. 387, 114163, 15.12.2021.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Flexible polyhedra modeled by the virtual element method in a discrete element context
AU - Gay Neto, Alfredo
AU - Hudobivnik, Blaž
AU - Moherdaui, Tiago Fernandes
AU - Wriggers, Peter
N1 - Funding Information: This study was funded by the Alexander von Humboldt Foundation, Germany and in part by the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - Brasil (CAPES) - Finance Code 001.
PY - 2021/12/15
Y1 - 2021/12/15
N2 - Systems composed of numerous particles, as granular materials, can be simulated by the discrete element method (DEM). There are numerous versions of DEM considering particle shapes as spheres, superellipsoids, polyhedra and others. Classically, particles are considered rigid and the only flexibility present in the model is local, embedded in the contact interface model. Such treatment seems not to be adequate when one is interested in simulating phenomena dependent on the general flexibility of particles and investigating their effects in granular media. The present work proposes a method to introduce flexible particles of polyhedral shape within the DEM context. We employ the Virtual Element Method (VEM) for the spatial discretization of particles, taking advantage of its geometrical versatility, modeling each particle with a single-element. The dynamical behavior of the resulting particle system is predicted using an implicit time-integration. Contact between polyhedral particles (possibly non-convex) is addressed by the master–master contact technique and its degenerations, employing a barrier-based interface law. Examples include studies and discussions on the VEM's stiffness and mass stabilization parameters, such as simulations of systems composed of flexible polyhedral particles as a sand-material pack under compression and a hopper discharging process.
AB - Systems composed of numerous particles, as granular materials, can be simulated by the discrete element method (DEM). There are numerous versions of DEM considering particle shapes as spheres, superellipsoids, polyhedra and others. Classically, particles are considered rigid and the only flexibility present in the model is local, embedded in the contact interface model. Such treatment seems not to be adequate when one is interested in simulating phenomena dependent on the general flexibility of particles and investigating their effects in granular media. The present work proposes a method to introduce flexible particles of polyhedral shape within the DEM context. We employ the Virtual Element Method (VEM) for the spatial discretization of particles, taking advantage of its geometrical versatility, modeling each particle with a single-element. The dynamical behavior of the resulting particle system is predicted using an implicit time-integration. Contact between polyhedral particles (possibly non-convex) is addressed by the master–master contact technique and its degenerations, employing a barrier-based interface law. Examples include studies and discussions on the VEM's stiffness and mass stabilization parameters, such as simulations of systems composed of flexible polyhedral particles as a sand-material pack under compression and a hopper discharging process.
KW - Discrete element method
KW - Friction
KW - master–master contact
KW - Polyhedra
KW - Virtual Element Method
UR - http://www.scopus.com/inward/record.url?scp=85115776124&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2021.114163
DO - 10.1016/j.cma.2021.114163
M3 - Article
AN - SCOPUS:85115776124
VL - 387
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
M1 - 114163
ER -