Abstract
The dynamic failure mode and energy-based identification method for a counter-bedding rock slope with weak intercalated layers are discussed in this paper using large scale shaking table test and the Hilbert-Huang Transform (HHT) marginal spectrum. The results show that variations in the peak values of marginal spectra can clearly indicate the process of dynamic damage development inside the model slope. The identification results of marginal spectra closely coincide with the monitoring results of slope face displacement in the test. When subjected to the earthquake excitation with 0.1 g and 0.2 g amplitudes, no seismic damage is observed in the model slope, while the peak values of marginal spectra increase linearly with increasing slope height. In the case of 0.3 g seismic excitation, dynamic damage occurs near the slope crest and some rock blocks fall off the slope crest. When the seismic excitation reaches 0.4 g, the dynamic damage inside the model slope extends to the part with relative height of 0.295-0.6, and minor horizontal cracks occur in the middle part of the model slope. When the seismic excitation reaches 0.6 g, the damage further extends to the slope toe, and the damage inside the model slope extends to the part with relative height below 0.295, and the upper part (near the relative height of 0.8) slides outwards. Longitudinal fissures appear in the slope face, which connect with horizontal cracks, the weak intercalated layers at middle slope height are extruded out and the slope crest breaks up. The marginal spectrum identification results demonstrate that the dynamic damage near the slope face is minor as compared with that inside the model slope. The dynamic failure mode of counter-bedding rock slope with weak intercalated layers is extrusion and sliding at the middle rock strata. The research results of this paper are meaningful for the further understanding of the dynamic failure mode of counter-bedding rock slope with weak intercalated layers.
Similar content being viewed by others
References
Areias PMA, Rabczuk T, Camanho PP (2014) Finite strain fracture of 2D problems with injected anisotropic softening elements. Theoretical and Applied Fracture Mechanics 72: 50–63. DOI: 10.1016/j.tafmec.2014.06.006
Biondi G, Massimino MR, Maugeri M (2015) Experimental study in the shaking table of the input motion characteristics in the dynamic SSI of a SDOF model. Bulletin of Earthquake Engineering 13(6): 1835–1839. DOI: 10.1007/s10518-014-9696-8
Carter BJ, Lajtai EZ. (1992) Rock slope stability and distributed joint systems. Canadian Geotechnical Journal 29(6): 53–60. DOI: 10.1139/t92-006
Che A, Yang H, Wang B, et al. (2016) Wave propagations through jointed rock masses and their effects on the stability of slopes. Engineering Geology 201: 45–56. DOI: 10.1016/j.enggeo.2015.12.018
Chen ZL, Xu Q, Hu X. (2013) Study on Dynamic Response of the “Dualistic” Structure Rock Slope with Seismic Wave Theory. Journal of Mountain Science 10(6): 996–1007. DOI: 10.1007/ s11629-012-2490-7
Donatello C (2007) Nonlinear static methods vs. experimental shaking table test results. Journal of Earthquake Engineering 11(6): 847–875. DOI: 10.1080/13632460601173938
Douglas DB, Keith AF (2000) Important factors to consider in properly evaluating the stability of rock slopes. Slope Stability 2000: 58–71. DOI: 10.1061/40512(289)5
Einstein HH, Veneziano D, Baecher GB, et al. (1983) The effect of discontinuity persistence on rock slope stability. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts 20(5): 227–236. DOI: 10.1016/0148-9062(83)90003-7
Gurocak Z, Alemdag S, Zaman MM (2008) Rock slope stability and excavatability assessment of rocks at the Kapikaya dam site, Turkey. Engineering Geology 96: 17–27. DOI: 10.1016/j.enggeo.2007.08.005
Halakatevakis N, Sofianos AI (2010) Strength of a blocky rock mass based on an extended plane of weakness theory. International Journal of Rock Mechanics and Mining Sciences 47(4): 568–582. DOI: 10.1016/j.ijrmms.2010.01.008
Huang NE, Shen Z, Long SR, et al. (1998) The empirical mode decomposition and Hilbert spectrum for nonlinear and non-stationary time series analysis. Proceeding of the Royal Society. Ser. A. London, England. 454: 903–995. DOI: 10.1098/rspa.l 998.0193
Huang QX, Wang JL (2011) Study of the deformation characteristics of an anti-dip slope with soft internal layers. China Civil Engineering Journal 44(5): 109–114. DOI: 10.15951/j.tmgcxb.2011.05.001.
Huang RQ, Li G, Ju NP (2013) Shaking table test on strong earthquake response of stratified rock slopes. Chinese Journal of Rock Mechanics and Engineering 32(5): 865–875. (In Chinese)
Li CS (2011) Study on seismic response and deformation failure mechanism of countertendency layered rock slope under strong earthquake. Institute of Engineering Mechanics, China Earthquake Administration, Harbin, China. pp 78–98.
Li CS, Lam SSE, Zhang MZ, Wong YL (2006) Shaking table test of a 1:20 scale high-rise building with a transfer plate system. Journal of Structural Engineering 132: 1732–1744. DOI: 10.1061/(ASCE)0733-9445(2006)132:11(1732)
Li G (2012) Failure mechanism of stratiform rock slope under strong earthquake. ChengDu University of Technical, Chengdu, China. pp 141–153.
Li J, Law SS, Ding Y (2012) Substructure damage identification based on response reconstruction in frequency domain and model updating. Engineering Structures 41: 270–284. DOI: 10.1016/j.engstruct.2012.03.035
Li YD, Cui J, Guan TD, Jing LP (2015) Investigation into dynamic response of regional sites to seismic waves using shaking table testing. Earthquake Engineering and Engineering Vibration 14: 411–421. DOI: 10.1007/s11803-015-0033-2
Liu HX, Xu Q, Li YR (2014a) Effect of lithology and structure on seismic response of steep slope in a shaking table test. Journal of Mountain Science 11(2): 371–383. DOI: 10.1007/s11629-013-2790-6
Liu J, Liu FH, Kong XJ, Yu L (2014b) Large-scale shaking table model tests of aseismic measures for concrete faced rock-fill dams. Soil Dynamics and Earthquake Engineering 61-62: 152-163. DOI: 10.1016/j.soildyn.2014.02.006
Liu Q, Zhou RZ, Liu YH (2009) Computation and analysis of seismic response and energy based on Hilber-Huang transform. Engineering Journal of Wuhan University 42(6): 780–785. (In Chinese)
Lu XL, Wu XH (2000) Study on a new shear wall system with shaking table test and finite element analysis. Earthquake Engineering & Structural Dynamics 29: 1425–1440. DOI: 10.1002/1096-9845(200010)29:101425<::AIDEQE965>3.0.CO;2-A
Luo WG, Han JP, Qian J (2011) Structural damage identification based on hilbert-huang transform and verification via shaking table model test. Earthquake Resistant Engineering and Retrofitting 31(1): 49–54. (In Chinese)
Mineo S, Pappalardo G, Rapisarda F, et al. (2015) Integrated geostructural, seismic and infrared thermography surveys for the study of an unstable rock slope in the Peloritani Chain (NE Sicily). Engineering Geology 195: 225–235. DOI: 10.1016/j.enggeo.2015.06.010
Qu HL, Zhang JJ (2012) Shaking table tests on influence of site conditions on seismic earth pressures of retaining wall. Chinese Journal of Geotechnical Engineering 34(7): 1228–1233. (In Chinese)
Rabczuk T, Belytschko T (2004) Cracking particles: a simplified meshfree method for arbitrary evolving cracks. International Journal for Numerical Methods in Engineering 61(13): 2316–2343. DOI: 10.1002/nme.1151
Tan RJ, Yang XZ, Hu RL (2009) Review of deformation mechanism and stability analysis of anti-dipped rock slopes. Rock and Soil Mechanics 30(Supp.2): 479–485. (In Chinese)
Terzaghi K. (1962) Stability of steep slopes on hard rock. Geotechnique 12: 251–270.
Ueng TS, Wu CW, Cheng HW, Chen CH (2010) Settlements of saturated clean sand deposits in shaking table tests. Soil Dynamics and Earthquake Engineering 30: 50–60. DOI: 10.1016/j.soildyn.2009.09.006
Wang KL, Lin ML (2011) Initiation and displacement of landslide induced by earthquake-a study of shaking table model slope test. Engineering Geology 122: 106–114. DOI: 10.1016/j.enggeo2011.04.008
Wang LF, Chen HK, Tang HM (2013) Mechanical mechanism of failure for anti-inclined rock slopes. Chinese Journal of Geotechnical Engineering 35(5): 884–889. (In Chinese)
Wang ZC, Chen GD (2014) Analytical mode decomposition with Hilbert transform for modal parameter identification of buildings under ambient vibration. Engineering Structures 59: 173–184. DOI: 10.1016/ j.engstruct.2013.10.020
Wartman J, Riemer M F, Bray JD (1998) Newmark analysis of a shaking table slope stability experiment. Proc, Geotechniacl Earthquake Engineering and Soil Dynamics III, ASCE, Geotechnical Special Publication No.75. Seattle, USA.
Wen CP, Yang GL (2011) Large-scale shaking table tests study of seismic displacement mode of retaining structures under earthquake loading. Chinese Journal of Rock Mechanics and Engineering 30(7): 1502–1512. (In Chinese)
Wu J, Wang W, Chang C, et al. (2005) Effects of strength properties of discontinuities on the unstable lower slope in the Chiu-fen-erh-shan landslide, Taiwan. Engineering Geology 78(3): 173–186. DOI: 10.1016/j.enggeo.2004.12. 005
Yang GX, Ye HL, Wu FQ (2012) Shaking table model test on dynamic response characteristics and failure mechanism of anti-dip layered rock slope. Chinese Journal of Geotechnical Engineering 31(11): 2214–2221. (In Chinese)
Yuan WZ (1998) Similarity theory and statics model test. Southwest Jiaotong University Press, ChengDu, China. pp 112–119. (In Chinese)
Zhang JJ, Han PF (2012) Displacement based seismic design method for gravity retaining walls-Large scale shaking table tests. Chinese Journal of Geotechnical Engineering 34(3): 417–423. (In Chinese)
Zheng W, Zhuang X, Tannant DD, et al. (2014) Unified continuum/discontinuum modeling framework for slope stability assessment. Engineering Geology 179: 90–101. DOI: 10.1016/j.enggeo.2014.06.014
Zhu H, Zhuang H, Cai Y (2011) High rock slope stability analysis using the enriched meshless Shepard and least squares method. International Journal of Computational Methods 8: 209–228. DOI: 10.1142/S0219876211002551
Zhuang X, Augarde C, Mathisen K (2012) Fracture modeling using meshless methods and level sets in 3D: framework and modelling. International Journal for Numerical Methods in Engineering 92: 969–998.
Zhuang X, Zhu H, Augarde C (2014) An improved meshless Shepard and least square method possessing the delta property and requiring no singular weight function. Computational Mechanics 53: 343–357.
Zhong YM, Qin SR, Tang BP (2004) Study on the marginal spectrum in Hilbert Huang transform. Systems Engineering and Electronics 26(9): 1323–1326. (In Chinese)
Zou LF, Xu WY, Ning Y, et al. (2009) Overview of toppling failure mechanism of countertendency layered rock slopes. Journal of Yangtze River Scientific Research Institute 26(5): 25–29. (In Chinese)
Zuo BC, Chen CX, Liu XW, et al. (2005) Modeling experiment study on failure mechanism of counter-tilt rock slope. Chinese Journal of Rock Mechanics and Engineering 24(19): 3505–3511. (In Chinese)
Acknowledgments
This research is financially supported by the National Basic Research Program (973 Program) of the Ministry of Science and Technology of the People’s Republic of China (Grant No. 2011CB013605), the Research Program of Ministry of Transport of the People's Republic of China (Grant No. 2013318800020). The authors are grateful to the unnamed reviewers for their valuable comments on the early version of the manuscript.
Author information
Authors and Affiliations
Corresponding author
Additional information
http://orcid.org/0000-0003-0080-0289
http://orcid.org/0000-0003-1944-2354
http://orcid.org/0000-0002-4762-8730
http://orcid.org/0000-0003-2356-1006
Electronic supplementary material
11629_2015_3662_MOESM1_ESM.pdf
Dynamic failure mode and energy-based identification method for a counter-bedding rock slope with weak intercalated layers
Rights and permissions
About this article
Cite this article
Fan, G., Zhang, Jj., Fu, X. et al. Dynamic failure mode and energy-based identification method for a counter-bedding rock slope with weak intercalated layers. J. Mt. Sci. 13, 2111–2123 (2016). https://doi.org/10.1007/s11629-015-3662-z
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11629-015-3662-z