Details
| Original language | English |
|---|---|
| Pages (from-to) | 314-335 |
| Number of pages | 22 |
| Journal | Applied Mathematical Modelling |
| Volume | 82 |
| Early online date | 20 Jan 2020 |
| Publication status | Published - Jun 2020 |
Abstract
The complexity of polyhedral block systems (e.g., small blocks, flat blocks with small angles, edges, or faces) poses challenges in the kinetic analysis of rock block systems. This paper proposed an improved potential-based penalty function approach within an explicit three-dimensional (3D) discontinuous deformation analysis (DDA) framework for efficient and robust kinetic analysis of rock block systems. An explicit formulation of 3D DDA based on velocity verlet algorithm is first derived. A novel definition of potential function is then proposed with details of the key algorithms for overlap judgment of convex polyhedron, construction of intersection polyhedron and numerical integral for computation of contact force. The improved potential-based penalty function method is robust and efficient for complex convex polyhedral shapes. Several benchmark and application examples verify the feasibility, accuracy and robustness of the proposed methods in solving contact of polyhedral block systems.
Keywords
- Contact interaction, Convex polyhedron, Explicit discontinuous deformation analysis, Kinetic problems, Potential function method
ASJC Scopus subject areas
- Mathematics(all)
- Modelling and Simulation
- Mathematics(all)
- Applied Mathematics
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In: Applied Mathematical Modelling, Vol. 82, 06.2020, p. 314-335.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Kinetic analysis of polyhedral block system using an improved potential-based penalty function approach for explicit discontinuous deformation analysis
AU - Zheng, Fei
AU - Zhuang, Xiaoying
AU - Zheng, Hong
AU - Jiao, Yu Yong
AU - Rabczuk, Timon
N1 - Funding information: This study was financially supported by Sofja Kovalevskaja Program from Alexander von Humboldt Foundation .
PY - 2020/6
Y1 - 2020/6
N2 - The complexity of polyhedral block systems (e.g., small blocks, flat blocks with small angles, edges, or faces) poses challenges in the kinetic analysis of rock block systems. This paper proposed an improved potential-based penalty function approach within an explicit three-dimensional (3D) discontinuous deformation analysis (DDA) framework for efficient and robust kinetic analysis of rock block systems. An explicit formulation of 3D DDA based on velocity verlet algorithm is first derived. A novel definition of potential function is then proposed with details of the key algorithms for overlap judgment of convex polyhedron, construction of intersection polyhedron and numerical integral for computation of contact force. The improved potential-based penalty function method is robust and efficient for complex convex polyhedral shapes. Several benchmark and application examples verify the feasibility, accuracy and robustness of the proposed methods in solving contact of polyhedral block systems.
AB - The complexity of polyhedral block systems (e.g., small blocks, flat blocks with small angles, edges, or faces) poses challenges in the kinetic analysis of rock block systems. This paper proposed an improved potential-based penalty function approach within an explicit three-dimensional (3D) discontinuous deformation analysis (DDA) framework for efficient and robust kinetic analysis of rock block systems. An explicit formulation of 3D DDA based on velocity verlet algorithm is first derived. A novel definition of potential function is then proposed with details of the key algorithms for overlap judgment of convex polyhedron, construction of intersection polyhedron and numerical integral for computation of contact force. The improved potential-based penalty function method is robust and efficient for complex convex polyhedral shapes. Several benchmark and application examples verify the feasibility, accuracy and robustness of the proposed methods in solving contact of polyhedral block systems.
KW - Contact interaction
KW - Convex polyhedron
KW - Explicit discontinuous deformation analysis
KW - Kinetic problems
KW - Potential function method
UR - http://www.scopus.com/inward/record.url?scp=85079104392&partnerID=8YFLogxK
U2 - 10.1016/j.apm.2020.01.026
DO - 10.1016/j.apm.2020.01.026
M3 - Article
AN - SCOPUS:85079104392
VL - 82
SP - 314
EP - 335
JO - Applied Mathematical Modelling
JF - Applied Mathematical Modelling
SN - 0307-904X
ER -