New Approach to Determine Three-Dimensional Contacts in Blocks System: Penetration Edges Method
Publication: International Journal of Geomechanics
Volume 6, Issue 5
Abstract
Detection of contacts between three-dimensional (3D) blocks is a key problem in three-dimensional distinct element analysis. In this paper, the limitations of the – method are discussed. The writers have also put forward the “penetration edges method” for the detection of contacts in 3D blocks system. The contact relations between two 3D blocks are classified into seven types and 3D contact detection is determined by the contact type. The principle of this new approach is simple to implement and can overcome the limitation of the – method as discovered in this study. Limited case studies have indicated that the present algorithm is as efficient as the – method but is free from the limitation of this method.
Get full access to this article
View all available purchase options and get full access to this article.
References
Cheng, Y. M. (1998). “Advancement and improvements in discontinuous deformation analysis.” Comput. Geotech., 22(2), 153–163.
Cundall, P. A. (1971). “A computer model for simulating progressive, large-scale movements in block rock systems.” Proc., Symp. of the Int. Society of Rock Mechanics, Vol. 1, Nancy, France, 1, II-8.
Cundall, P. A. (1988). “Formulation of a 3D distinct element model—Part I: A scheme to detect and represent contacts in system composed of many polyhedral blocks.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 25(3), 107–116.
Cundall, P. A., and Hart, R. D. (1985). “Development of generalized 2D and 3D distinct element—Programs for modeling jointed rock.” Contract No. DACA 39-82-C-0015, U.S. Army Corps of Engineers, Washington, D.C.
Ohnishi, Y., and Miki, S. (1996). “Development of circular and elliptic disc elements for DDA.” Proc., 1st Int. Forum on Discontinuous Analysis (DDA) and Simulations of Discontinuous Media.” TSI, Berkeley, Calif., 44–51.
O’Rourke, J. (1998). Computational geometry in C, 2nd Ed., Cambridge University Press, Cambridge, U.K.
Shi, G. H. (1988). “Discontinuous deformation analysis—A new numerical model for the statics and dynamics of block system.” Ph.D. thesis, Univ. of California, Berkeley, Calif.
Sloan, S. W. (1985). “A point in polygon program: Software for engineering.” Comput. Mech., 4–6.
Zhang, Y. H. (2004). “Numerical analysis methods of complicated deformation: Coupling method and manifold method.” Ph.D. thesis, Hong Kong Polytechnic Univ., Hong Kong.
Zhou, W. Y., and Yang, Q. (2005). Numerical computational methods for rock mechanics, China Electric Power, Beijing, China.
Information & Authors
Information
Published In
International Journal of Geomechanics
Volume 6 • Issue 5 • September 2006
Pages: 303 - 310
Copyright
© 2006 ASCE.
History
Received: Apr 7, 2004
Accepted: Feb 16, 2006
Published online: Sep 1, 2006
Published in print: Sep 2006
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.