Details
| Original language | English |
|---|---|
| Article number | 114097 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 386 |
| Early online date | 6 Sept 2021 |
| Publication status | Published - 1 Dec 2021 |
Abstract
In the discrete element method (DEM), the geometric description of each particle is important for the overall system behavior. However, increasing complexity of particles also augments the cost for contact detection and its forthcoming evaluation, increasing the computational cost of the numerical simulation. In the context of master-to-master contact, the present work proposes a new formulation for solving the local contact problem between convex particles whose boundary is defined by non-uniform rational B-splines (NURBS). The proposed formulation is based on concepts employed in computer graphics: Minkowski sum, configuration space obstacle (CSO) and support mapping. With that, contact can be addressed through an optimization scheme. An objective function is based on a constrained distance between the particles. In case of contact, the maximum penetration between particles is related to the minimum of the objective function. Different examples underline the robustness of the formulation, which can handle contact between convex particles with general shapes.
Keywords
- Computer graphics, Contact, Discrete element method, NURBS, Optimization, Particles
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. 386, 114097, 01.12.2021.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Contact between rigid convex NURBS particles based on computer graphics concepts
AU - Craveiro, Marina Vendl
AU - Gay Neto, Alfredo
AU - Wriggers, Peter
N1 - Funding Information: This study was funded by Alexander von Humboldt Foundation and in part by the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - Brasil (CAPES) - Finance Code 001.
PY - 2021/12/1
Y1 - 2021/12/1
N2 - In the discrete element method (DEM), the geometric description of each particle is important for the overall system behavior. However, increasing complexity of particles also augments the cost for contact detection and its forthcoming evaluation, increasing the computational cost of the numerical simulation. In the context of master-to-master contact, the present work proposes a new formulation for solving the local contact problem between convex particles whose boundary is defined by non-uniform rational B-splines (NURBS). The proposed formulation is based on concepts employed in computer graphics: Minkowski sum, configuration space obstacle (CSO) and support mapping. With that, contact can be addressed through an optimization scheme. An objective function is based on a constrained distance between the particles. In case of contact, the maximum penetration between particles is related to the minimum of the objective function. Different examples underline the robustness of the formulation, which can handle contact between convex particles with general shapes.
AB - In the discrete element method (DEM), the geometric description of each particle is important for the overall system behavior. However, increasing complexity of particles also augments the cost for contact detection and its forthcoming evaluation, increasing the computational cost of the numerical simulation. In the context of master-to-master contact, the present work proposes a new formulation for solving the local contact problem between convex particles whose boundary is defined by non-uniform rational B-splines (NURBS). The proposed formulation is based on concepts employed in computer graphics: Minkowski sum, configuration space obstacle (CSO) and support mapping. With that, contact can be addressed through an optimization scheme. An objective function is based on a constrained distance between the particles. In case of contact, the maximum penetration between particles is related to the minimum of the objective function. Different examples underline the robustness of the formulation, which can handle contact between convex particles with general shapes.
KW - Computer graphics
KW - Contact
KW - Discrete element method
KW - NURBS
KW - Optimization
KW - Particles
UR - http://www.scopus.com/inward/record.url?scp=85114319405&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2021.114097
DO - 10.1016/j.cma.2021.114097
M3 - Article
AN - SCOPUS:85114319405
VL - 386
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
M1 - 114097
ER -