New Geometric Restriction for the Displacement–Constraint Points in Discontinuous Deformation Analysis
Publication: International Journal of Geomechanics
Volume 17, Issue 5
Abstract
A displacement-based seismic discontinuous deformation analysis (DDA) considers the influence of an earthquake by applying a time-dependent displacement constraint to simulate time-dependent ground movement of the base rock. However, unexpected variations of the base block stress and the block area in a seismic DDA may affect the block contacts with another block. This study theoretically clarifies the mechanism that causes unwanted base block distortion in a seismic DDA. A new geometric restriction is proposed for the assignment of displacement–constraint points to simulate the ground movement of two-dimensional (2D) and three-dimensional (3D) convex and concave blocks without changing the DDA algorithm. Additionally, the Daguangbao rock avalanche triggered by the Wenchuan earthquake in China is considered as a case study to demonstrate the capability of the new geometric restriction in a DDA to solve practical problems.
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Acknowledgments
The first author appreciates the partial financial support from the Ministry of Science and Technology of Taiwan (Grant NSC 102-2221-E-006 -197 -MY3) to finish the study. In addition, special thanks is given to the China Earthquake Administration for providing acceleration data from the Wenchuan earthquake near the Daguangbao slope.
References
Bao, H., Yagoda-Biran, G., and Hatzor, Y. H. (2014). “Site response analysis with two-dimensional numerical discontinuous deformation analysis method.” Earthquake Eng. Struct. Dyn., 43(2), 225–246.
Barla, M., Piovano, G., and Grasselli, G. (2012). “Rock slide simulation with the combined finite-discrete element method.” Int. J. Geomech., 711–721.
Bock, Y., Prawirodirdjo, L., and Melbourne, T. I. (2004). “Detection of arbitrarily large dynamic ground motions with a dense high-rate GPS network.” Geophys. Res. Lett., 31(6), L06604.
Doolin, D. M. (2005). “Unified displacement boundary constraint formulation for discontinuous deformation analysis (DDA).” Int. J. Numer. Anal. Methods Geomech., 29(12), 1199–1207.
FLAC3D 3.0 [Computer software]. Fast Lagrangian analysis of continua in 3 dimensions, Itasca Consulting Group, Inc., Minneapolis.
Hatzor, Y. H., Arzi, A. A., Zaslavsky, Y., and Shapira, A. (2004). “Dynamic stability analysis of jointed rock slopes using the DDA method: King Herod?s Palace, Masada, Israel.” Int. J. Rock Mech. Min. Sci., 41(5), 813–832.
Hatzor, Y. H., and Feintuch, A. (2001). “The validity of dynamic block displacement prediction using DDA.” Int. J. Rock Mech. Min. Sci., 38(4), 599–606.
Hsiung, S. M., and Shi, G. H. (2001). “Simulation of earthquake effects on underground excavation using Discontinuous Deformation Analysis (DDA).” 38th U. S. Rock Mechanics Symp., American Rock Mechanics Association, Alexandria, VA, 1413–1420.
Huang, R., Pei, X., Fan, X., Zhang, W., Li, S., and Li, B. (2012). “The characteristics and failure mechanism of the largest landslide triggered by the Wenchuan earthquake, May 12, 2008, China.” Landslides, 9(1), 131–142.
Irie, K., Koyama, T., Nishiyama, S., Yasuda, Y., and Ohnishi, Y. (2012). “A numerical study on the effect of shear resistance on the landslide by discontinuous deformation analysis (DDA).” Geomech. Geoeng., 7(1), 57–68.
Itasca. (2007). “3DEC 4.1-3 dimensional distinct element code theory and background.” Itasca Consulting Group, Inc., Minneapolis.
Jiang, Q., Chen, Y., Zhou, C., and Yeung, M. R. (2013). “Kinetic energy dissipation and convergence criterion of discontinuous deformation analysis (DDA) for geotechnical engineering.” Rock Mech. Rock Eng., 46(6), 1443–1460.
Jiang, W., and Zheng, H. (2015). “An efficient remedy for the false volume expansion of DDA when simulating large rotation.” Comput. Geotech., 70, 18–23.
Jing, L. (1998). “Formulation of discontinuous deformation analysis (DDA)–an implicit discrete element model for block systems.” Eng. Geol., 49(3), 371–381.
Kamai, R., and Hatzor, Y. H. (2008). “Numerical analysis of block stone displacements in ancient masonry structures: A new method to estimate historic ground motions.” Int. J. Numer. Anal. Methods Geomech., 32(11), 1321–1340.
Kong, X., and Liu, J. (2002). “Dynamic failure numeric simulations of model concrete-faced rock-fill dam.” Soil Dyn. Earthquake Eng., 22(9–12), 1131–1134.
Koyama, T., Akao, S., Nishiyama, S., and Ohnishi, Y. (2009). “Earthquake response analysis for rock slope using discontinuous deformation analysis (DDA).” J. JSCE, 65(3), 644–662 (in Japanese).
Lou, Y., Zhang, W., Shi, C., and Liu, J. (2014). “High-rate (1-Hz and 50-Hz) GPS seismology: Application to the 2013 Mw 6.6 Lushan earthquake.” J. Asian Earth. Sci., 79(A), 426–431.
Miki, S., Sasaki, T., Ohnishi, Y., Nishiyama, S., and Koyama, T. (2013). “Application of NMM-DDA to earthquake induced slope failure and landslide.” 47th U. S. Rock Mechanics/Geomechanics Symp., American Rock Mechanics Association, Alexandria, VA, 13–492.
Ohnishi, Y., Sasaki, T., and Shi, G. H. (2005). Discontinuous deformation analysis (DDA), Computational Mechanics Lecture Series 6, Maruzen Co., Ltd., Tokyo (in Japanese).
Sasaki, T., Hagiwara, I., Sasaki, K., Yoshinaka, R., Ohnishi, Y., and Nishiyama, S. (2004). “Earthquake response analysis of rock-fall models by discontinuous deformation analysis.” ISRM Int. Symp. 3rd ARMS, Millpress, Rotterdam, Netherlands, 1267–1272.
Shi, G. H. (1989). “Discontinuous deformation analysis. A new numerical model for the static and dynamics of block systems.” Ph.D. dissertation, Dept. of Civil Engineering, Univ. of California, Berkeley, CA.
Song, J. (2002). “Numerical analysis of discontinuous rock masses using modified manifold method.” Ph.D. dissertation, School of Civil Engineering, Kyoto Univ., Kyoto, Japan.
Su, H. Z., Hu, J., and Li, J. Y. (2013). “Deep stability evaluation of high-gravity dam under combining action of powerhouse and dam.” Int. J. Geomech., 257–272.
Tsesarsky, M., Hatzor, Y. M., and Sitar, N. (2005). “Dynamic displacement of a block on an inclined plane: analytical, experimental and DDA results.” Rock Mech. Rock Eng., 38(2), 153–167.
Wang, W. N., Chigira, M., and Furuya, T. (2003). “Geological and geomorphological precursors of the Chiu-fen-erh-shan landslide triggered by the Chi-Chi earthquake in central Taiwan.” Eng. Geol., 69(1–2), 1–13.
Wu, A., Yang, Q., Ma, G., and Li, X. (2011). “Study on the formation mechanism of Tangjiashan landslide triggered by Wenchuan earthquake using DDA simulation.” Int. J. Comput. Methods, 8(2), 229–243.
Wu, J. H. (2010). “Seismic landslide simulations in discontinuous deformation analysis.” Comput. Geotech., 37(5), 594–601.
Wu, J. H. (2015). “The elastic distortion problem with large rotation in discontinuous deformation analysis.” Comput. Geotech., 69, 352–364.
Wu, J. H., and Chen, C. H. (2009). “Back calculating the seismic shear strengths of the Tsaoling landslide associated with accelerograph and GPS data.” Iran. J. Sci. Technol. Trans. B Eng., 33(B4), 301–311.
Wu, J. H., and Chen, C. H. (2011). “Application of DDA to simulate characteristics of the Tsaoling landslide.” Comput. Geotech., 38(5), 741–750.
Wu, J. H., and Lin, H. M. (2013). “Improvement of open-close iteration in DDA.” Proc., 11th Int. Conf. on Analysis of Discontinuous Deformation, ICADD-11, CRC Press/Balkema, Leiden, Netherlands, 185–191.
Wu, J. H., Lin, J. S., and Chen, C. S. (2009). “Dynamic discrete analysis of an earthquake-induced large scale landslide.” Int. J. Rock Mech. Min. Sci., 46(2), 397–407.
Wu, J. H., Ohnishi, Y., and Nishiyama, S. (2004). “Simulation of the mechanical behavior of inclined jointed rock masses during tunnel construction using discontinuous deformation analysis (DDA).” Int. J. Rock Mech. Min. Sci., 41(5), 731–743.
Wu, J. H., Ohnishi, Y., Shi, G. H., and Nishiyama, S. (2005). “Theory of three-dimensional Discontinuous Deformation Analysis and its application to a slope toppling at Amatoribashi, Japan.” Int. J. Geomech., 179–195.
Wu, J. H., and Tsai, P. H. (2011). “New dynamic procedure for back-calculating the shear strength parameters of large landslides.” Eng. Geol., 123(1–2), 129–147.
Yagoda, G., and Hatzor, Y. H. (2007). “Seismic risk estimation from overturning analysis of hellenistic columns using DDA.” Proc., 8th Int. Conf. on Analysis of Discontinuous Deformation, ICADD-8, China Univ. of Mining and Technology, Beijing, 123–128.
Yagoda-Biran, G., and Hatzor, Y. H. (2010). “Constraining paleo PGA values by numerical analysis of overturned columns.” Earthquake Eng. Struct. Dyn., 39, 463–472.
Yin, Y., Wang, M., Li, B., and Feng, Z. (2012). “Dynamic response characteristics of Daguangbao landslide triggered by Wenchuan earthquake.” Chin. J. Rock. Mech. Eng., 31, 1969–1982 (in simplified Chinese).
Zhang, Y., Chen, G., Zhang, L., Li, Y., and Wu, J. (2013). “Effects of near-fault seismic loadings on run-out of large-scale landslide: A case study.” Eng. Geol., 166, 216–236.
Zhang, Y., Fu, X., and Sheng, Q. (2014). “Modification of the discontinuous deformation analysis method and its application to seismic response analysis of large underground caverns.” Tunnelling Underground Space Technol., 40, 241–250.
Zhang, Y., Zhang, J., Chen, G., Zhang, L., and Li, Y. (2015). “Effects of vertical seismic force on initiation of the Daguangbao landslide induced by the 2008 Wenchuan earthquake.” Soil Dyn. Earthquake Eng., 73, 91–102.
Zhong, Z. H. (1993). Finite element procedures for contact-impact problems, Oxford University Press, Oxford, UK.
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Published In
International Journal of Geomechanics
Volume 17 • Issue 5 • May 2017
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© 2016 American Society of Civil Engineers.
History
Received: Jul 17, 2015
Accepted: Dec 30, 2015
Published online: Feb 23, 2016
Discussion open until: Jul 23, 2016
Published in print: May 1, 2017
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