Journal
APPLIED MATHEMATICAL MODELLING
Volume 82, Issue -, Pages 314-335Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2020.01.026
Keywords
Contact interaction; Convex polyhedron; Potential function method; Explicit discontinuous deformation analysis; Kinetic problems
Funding
- Sofja Kovalevskaja Program from Alexander von Humboldt Foundation
Ask authors/readers for more resources
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. (C) 2020 Elsevier Inc. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available