Kinetic analysis of polyhedral block system using an improved potential-based penalty function approach for explicit discontinuous deformation analysis

authored by: Fei Zheng, Xiaoying Zhuang, Hong Zheng, Yu Yong Jiao, Timon Rabczuk
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.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): Ton Duc Thang University
Beijing University of Technology
China University of Geosciences
Bauhaus-Universität Weimar
Type: Article
Journal: Applied Mathematical Modelling
Volume: 82
Pages: 314-335
No. of pages: 22
ISSN: 0307-904X
Publication date: 06.2020
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Modelling and Simulation, Applied Mathematics
Electronic version(s): https://doi.org/10.1016/j.apm.2020.01.026 (Access: Open)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{ba397c5f04ef4812a16333457583bac1,
title = "Kinetic analysis of polyhedral block system using an improved potential-based penalty function approach for explicit discontinuous deformation analysis",
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",
author = "Fei Zheng and Xiaoying Zhuang and Hong Zheng and Jiao, {Yu Yong} and Timon Rabczuk",
note = "Funding information: This study was financially supported by Sofja Kovalevskaja Program from Alexander von Humboldt Foundation .",
year = "2020",
month = jun,
doi = "10.1016/j.apm.2020.01.026",
language = "English",
volume = "82",
pages = "314--335",
journal = "Applied Mathematical Modelling",
issn = "0307-904X",
publisher = "Elsevier Inc.",
}