Details
| Original language | English |
|---|---|
| Pages (from-to) | 353-380 |
| Number of pages | 28 |
| Journal | Computational Particle Mechanics |
| Volume | 9 |
| Issue number | 2 |
| Early online date | 1 Jun 2021 |
| Publication status | Published - Mar 2022 |
Abstract
We present a version of the Discrete Element Method considering the particles as rigid polyhedra. The Principle of Virtual Work is employed as basis for a multibody dynamics model. Each particle surface is split into sub-regions, which are tracked for contact with other sub-regions of neighboring particles. Contact interactions are modeled pointwise, considering vertex-face, edge-edge, vertex-edge and vertex-vertex interactions. General polyhedra with triangular faces are considered as particles, permitting multiple pointwise interactions which are automatically detected along the model evolution. We propose a combined interface law composed of a penalty and a barrier approach, to fulfill the contact constraints. Numerical examples demonstrate that the model can handle normal and frictional contact effects in a robust manner. These include simulations of convex and non-convex particles, showing the potential of applicability to materials with complex shaped particles such as sand and railway ballast.
Keywords
- Barrier Method, Discrete Element Method, Master-master contact, Non-convex, Polyhedra
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Civil and Structural Engineering
- Mathematics(all)
- Numerical Analysis
- Mathematics(all)
- Modelling and Simulation
- Chemical Engineering(all)
- Fluid Flow and Transfer Processes
- Mathematics(all)
- Computational Mathematics
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In: Computational Particle Mechanics, Vol. 9, No. 2, 03.2022, p. 353-380.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Discrete element model for general polyhedra
AU - Neto, Alfredo Gay
AU - Wriggers, Peter
N1 - Funding Information: This study was financed by Alexander von Humboldt Foundation and in part by the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior—Brasil (CAPES)—Finance Code 001.
PY - 2022/3
Y1 - 2022/3
N2 - We present a version of the Discrete Element Method considering the particles as rigid polyhedra. The Principle of Virtual Work is employed as basis for a multibody dynamics model. Each particle surface is split into sub-regions, which are tracked for contact with other sub-regions of neighboring particles. Contact interactions are modeled pointwise, considering vertex-face, edge-edge, vertex-edge and vertex-vertex interactions. General polyhedra with triangular faces are considered as particles, permitting multiple pointwise interactions which are automatically detected along the model evolution. We propose a combined interface law composed of a penalty and a barrier approach, to fulfill the contact constraints. Numerical examples demonstrate that the model can handle normal and frictional contact effects in a robust manner. These include simulations of convex and non-convex particles, showing the potential of applicability to materials with complex shaped particles such as sand and railway ballast.
AB - We present a version of the Discrete Element Method considering the particles as rigid polyhedra. The Principle of Virtual Work is employed as basis for a multibody dynamics model. Each particle surface is split into sub-regions, which are tracked for contact with other sub-regions of neighboring particles. Contact interactions are modeled pointwise, considering vertex-face, edge-edge, vertex-edge and vertex-vertex interactions. General polyhedra with triangular faces are considered as particles, permitting multiple pointwise interactions which are automatically detected along the model evolution. We propose a combined interface law composed of a penalty and a barrier approach, to fulfill the contact constraints. Numerical examples demonstrate that the model can handle normal and frictional contact effects in a robust manner. These include simulations of convex and non-convex particles, showing the potential of applicability to materials with complex shaped particles such as sand and railway ballast.
KW - Barrier Method
KW - Discrete Element Method
KW - Master-master contact
KW - Non-convex
KW - Polyhedra
UR - http://www.scopus.com/inward/record.url?scp=85107560227&partnerID=8YFLogxK
U2 - 10.1007/s40571-021-00415-z
DO - 10.1007/s40571-021-00415-z
M3 - Article
AN - SCOPUS:85107560227
VL - 9
SP - 353
EP - 380
JO - Computational Particle Mechanics
JF - Computational Particle Mechanics
SN - 2196-4378
IS - 2
ER -