Rod-Bonded Discrete Element Method
The Bonded Discrete Element Method (BDEM) has raised interests in the graphics community in recent years because of its good performance in fracture simulations. However, current explicit BDEM usually needs to work under very small time steps to avoid numerical instability. We propose a new BDEM, na...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2024-06-01
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| Series: | Graphical Models |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1524070324000067 |
| _version_ | 1797213364878835712 |
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| author | Kangrui Zhang Han Yan Jia-Ming Lu Bo Ren |
| author_facet | Kangrui Zhang Han Yan Jia-Ming Lu Bo Ren |
| author_sort | Kangrui Zhang |
| collection | DOAJ |
| description | The Bonded Discrete Element Method (BDEM) has raised interests in the graphics community in recent years because of its good performance in fracture simulations. However, current explicit BDEM usually needs to work under very small time steps to avoid numerical instability. We propose a new BDEM, namely Rod-BDEM (RBDEM), which uses Cosserat energy and yields integrable forces and torques. We further derive a novel Cosserat rod discretization method to effectively represent the three-dimensional topological connections between discrete elements. Then, a complete implicit BDEM system integrating the appropriate fracture model and contact model is constructed using the implicit Euler integration scheme. Our method allows high Young’s modulus and larger time steps in elastic deformation, breaking, cracking, and impacting, achieving up to 8 times speed up of the total simulation. |
| first_indexed | 2024-04-24T10:57:07Z |
| format | Article |
| id | doaj.art-1b916434da93431b86850b7f8658d4dd |
| institution | Directory Open Access Journal |
| issn | 1524-0703 |
| language | English |
| last_indexed | 2024-04-24T10:57:07Z |
| publishDate | 2024-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Graphical Models |
| spelling | doaj.art-1b916434da93431b86850b7f8658d4dd2024-04-12T04:45:00ZengElsevierGraphical Models1524-07032024-06-01133101218Rod-Bonded Discrete Element MethodKangrui Zhang0Han Yan1Jia-Ming Lu2Bo Ren3TMCC, College of Computer Science, Nankai University, ChinaTMCC, College of Computer Science, Nankai University, ChinaTsinghua University, ChinaTMCC, College of Computer Science, Nankai University, China; Corresponding author.The Bonded Discrete Element Method (BDEM) has raised interests in the graphics community in recent years because of its good performance in fracture simulations. However, current explicit BDEM usually needs to work under very small time steps to avoid numerical instability. We propose a new BDEM, namely Rod-BDEM (RBDEM), which uses Cosserat energy and yields integrable forces and torques. We further derive a novel Cosserat rod discretization method to effectively represent the three-dimensional topological connections between discrete elements. Then, a complete implicit BDEM system integrating the appropriate fracture model and contact model is constructed using the implicit Euler integration scheme. Our method allows high Young’s modulus and larger time steps in elastic deformation, breaking, cracking, and impacting, achieving up to 8 times speed up of the total simulation.http://www.sciencedirect.com/science/article/pii/S1524070324000067Discrete element methodPhysically based animationFracture simulationElastic rods |
| spellingShingle | Kangrui Zhang Han Yan Jia-Ming Lu Bo Ren Rod-Bonded Discrete Element Method Graphical Models Discrete element method Physically based animation Fracture simulation Elastic rods |
| title | Rod-Bonded Discrete Element Method |
| title_full | Rod-Bonded Discrete Element Method |
| title_fullStr | Rod-Bonded Discrete Element Method |
| title_full_unstemmed | Rod-Bonded Discrete Element Method |
| title_short | Rod-Bonded Discrete Element Method |
| title_sort | rod bonded discrete element method |
| topic | Discrete element method Physically based animation Fracture simulation Elastic rods |
| url | http://www.sciencedirect.com/science/article/pii/S1524070324000067 |
| work_keys_str_mv | AT kangruizhang rodbondeddiscreteelementmethod AT hanyan rodbondeddiscreteelementmethod AT jiaminglu rodbondeddiscreteelementmethod AT boren rodbondeddiscreteelementmethod |