Kinetic analysis of polyhedral block system using an improved potential-based penalty function approach for explicit discontinuous deformation analysis
- verfasst von
- 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.
- Organisationseinheit(en)
-
Institut für Kontinuumsmechanik
- Externe Organisation(en)
-
Ton Duc Thang University
Beijing University of Technology
China University of Geosciences (CUG)
Bauhaus-Universität Weimar
- Typ
- Artikel
- Journal
- Applied Mathematical Modelling
- Band
- 82
- Seiten
- 314-335
- Anzahl der Seiten
- 22
- ISSN
- 0307-904X
- Publikationsdatum
- 06.2020
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Modellierung und Simulation, Angewandte Mathematik
- Elektronische Version(en)
-
https://doi.org/10.1016/j.apm.2020.01.026 (Zugang:
Offen)
