Theory of Three-Dimensional Discontinuous Deformation Analysis and Its Application to a Slope Toppling at Amatoribashi, Japan
Publication: International Journal of Geomechanics
Volume 5, Issue 3
Abstract
A three-dimensional (3D) rock slope toppling occurred in a discontinuous rock mass. To simulate the failure process and study the mechanism of this rock failure with contact and large displacement in 3D, a new discrete numerical method has been developed called the 3D discontinuous deformation analysis (DDA). This article first introduces the basic principles and then derives the formulas in detail. Finally, the slope failure simulation is applied as an example to investigate the applicability of this new method to rock slope failure research. The simulation results indicate the advantages of using this new method to study the mechanism of a rock slope failure with 3D behavior.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The writers acknowledge Mr. Tasuya Ochiai in the Asia Air Survey Co., Ltd., and Mr. Keiichi Momma of the Japan Association for Ring Net Barrier for their kind help with this study.
References
Bicanic, N., Stirling, C., and Pearce, C. J. (2002). “Discontinuous modelling of structural masonry.” Proc., 5th Congress on Computational Mechanics (WCCM V), Yang, H. A., Rammerstofer, F. G., and Eberhardsteiner, J., eds., Vienna, 1–18.
Chen, G., and Ohnishi, Y. (1999). “A non-linear model for discontinuities in DDA.” Proc., 3rd Int. Conf. on Analysis of Discontinuous Deformation, Amadei, B., ed., Vail, 57–64.
Chen, G., Zen, K., Kasama, K., and Nii, K. (2002). “Simulation of granular ground-comparisons of DDA to DEM.” Proc., 37th Japan National Conf. on Geotechnical Engineering, The Japan Geotechnical Society, Osaka, 1531–1532 (in Japanese).
Cundall, P. A. (1988). “Formulation of a three-dimensional distinct element model. I: A scheme to detect and represent contacts in a system composed of many polyhedral blocks.” International Journal of Rock Mechanics and Mining Science & Geomechanical Abstract, 25(3), 107–116.
Goodman, R. E. (1976). Methods of geological engineering, West Publishing Company, Saint Paul, Minn.
Hayashi, T., and Mura, T. (1971). Calculus of variations, Corona Publishing Co., Tokyo (in Japanese).
Huebner, K. H. (1975). The finite element method for engineers, Wiley, New York.
Jing, L. (1998). “Formulation of discontinuous deformation analysis (DDA): An implicit discrete element model for block systems.” Eng. Geol., 49(3–4), 371–381.
Ohnishi, Y., Chen, G., and Miki, S. (1995). “Recent development of DDA in rock mechanics.” Proc., 1st Int. Conf. on the Analysis of Discontinuous Deformation, Li, J. C., Wang, C. Y., and Sheng, J., eds., Chungli, 26–47.
Sasaki, T., Ohnishi, Y., and Yoshinaka, R. (1994). “Discontinuous deformation analysis and its application to rock mechanics problems.” J. Jpn. Soc. Civ.Eng., 493/III-27, 11–20 (in Japanese).
Sasaki, T., Sasaki, K., and Yoshinaka, R. (2002). “Study of a rock stone falling by discontinuous deformation analysis.” Proc., 7th Conf. on Computational Engineering and Science, The Japan Society for Computational Engineering and Science, Tokyo, 423–426 (in Japanese).
Shi, G. H. (1989). “Discontinuous deformation analysis a new numerical model for the static and dynamic of block systems.” PhD dissertation, Dept. of Civil Engineering, Univ. of California, Berkeley, Calif.
Shi, G. H., and Goodman, R. E. (1988). “Discontinuous deformation analysis: A new method for computing stress, strain and sliding of block system.” Key Questions in Rock Mechanics, Balkema, Rotterdam, The Netherlands, 381–393.
Varnes, D. D. J. (1978). “Slope movement types and processes in landslide analysis and control.” Transportation Research Board Special Rep. 176, National Academy of Science, Washington D.C., 11–33.
Wu, J. H. (2003). “Numerical analysis of discontinuous rock masses using discontinuous deformation analysis.” PhD dissertation, School of Civil Engineering, Kyoto Univ., Japan.
Zhong, Z. H. (1993). Finite element procedures for contact-impact problems, Oxford Univ. Press, Oxford, U.K.
Information & Authors
Information
Published In
Copyright
© 2005 ASCE.
History
Received: Jul 1, 2002
Accepted: Aug 23, 2004
Published online: Sep 1, 2005
Published in print: Sep 2005
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.