Seismic Stability of Heterogeneous Slopes with Tensile Strength Cutoff Using Discrete-Kinematic Mechanism and a Pseudostatic Approach
Publication: International Journal of Geomechanics
Volume 22, Issue 12
Abstract
Frequently, the Mohr–Coulomb (M-C) yield criterion is used to determine slope stability. It offers an exaggerated, unreliable, and cautious assessment of the tensile strength of bonded materials, which are composed primarily of compressive elements, especially when subjected to seismic excitation. This work modifies the M-C yield criterion to integrate the concept of tensile strength cutoff, which involves restricting or eliminating the tensile strength of bonded materials. Analyses of the seismic stability of heterogeneous slopes use the discrete kinematic approach. Using a pseudostatic method of analysis, vertical and horizontal forces simulating seismic excitation are characterized. The primary objective of this study is to provide an insight into the effect of tensile strength cutoff on critical failure surfaces. For steep slopes, seismic excitation increases the range of base failure and decreases stability by 45%, while tensile strength cutoff exacerbates the decline. On steep slopes, an overturning failure is guided by the tensile strength cutoff; however, on mild slopes, it is indifferent to such a cutoff. Its application to two nonhomogeneous slopes indicates that a face failure may occur when a relatively weak layer exists in the slope and that the introduction of a tension crack yields the most conservative estimates, while its failure surface corresponds to the critical failure surface with tensile strength cutoff under the strong seismic excitation.
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Acknowledgments
This study was sponsored by the National Natural Science Foundation of China (Grant No. 42077435). This support is greatly appreciated.
References
Antäo, A. N., N. M. da Costa Guerra, M. M. Fernandes, and A. S. Cardoso. 2008. “Influence of tension cut-off on the stability of anchored concrete soldier-pile walls in clay.” Can. Geotech. J. 45 (7): 1036–1044. https://doi.org/10.1139/T08-039.
Baker, R. 1981. “Tensile strength, tension cracks, and stability of slopes.” Soils Found. 21 (2): 1–17. https://doi.org/10.3208/sandf1972.21.2_1.
Bishop, A. W., and V. K. Garga. 1969. “Drained tension tests on London clay.” Géotechnique 19 (2): 309–313. https://doi.org/10.1680/geot.1969.19.2.309.
Chen, G.-H., J.-F. Zou, Q.-J. Pan, Z.-H. Qian, and H.-Y. Shi. 2020. “Earthquake-induced slope displacements in heterogeneous soils with tensile strength cut-off.” Comput. Geotech. 124: 103637. https://doi.org/10.1016/j.compgeo.2020.103637.
Chen, W. F. 1975. Limit analysis and soil plasticity. Amsterdam, Netherlands: Elsevier.
Dai, Z. H., and C. J. Lu. 2006. “Mechanical explanations on mechanism of slope stability.” [In Chinese.] Chin. J. Geotech. Eng. 28 (10): 1191–1197.
Deng, D.-p., L. Li, and L.-h. Zhao. 2019. “Stability analysis of a layered slope with failure mechanism of a composite slip surface.” Int. J. Geomech. 19 (6): 04019050. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001417.
Duncan, J. M., and S. G. Wright. 2005. Soil strength and slope stability. Hoboken, NJ: Wiley.
Drucker, D. C., and W. Prager. 1952. “Soil mechanics and plastic analysis or limit design.” Q. Appl. Math. 10 (2): 157–165. https://doi.org/10.1090/qam/48291.
Eberhardt, E., D. Stead, and J. S. Coggan. 2004. “Numerical analysis of initiation and progressive failure in natural rock slopes—The 1991 Randa rockslide.” Int. J. Rock Mech. Min. Sci. 41 (1): 69–87. https://doi.org/10.1016/S1365-1609(03)00076-5.
Gao, Y. F., F. Zhang, G. H. Lei, and D. Y. Li. 2013. “An extended limit analysis of three-dimensional slope stability.” Géotechnique 63 (6): 518–524. https://doi.org/10.1680/geot.12.T.004.
He, Y., Y. Liu, Y. Zhang, and R. Yuan. 2019a. “Stability assessment of three-dimensional slopes with cracks.” Eng. Geol. 252: 136–144. https://doi.org/10.1016/j.enggeo.2019.03.001.
He, Y., Y. Liu, H. Hazarika, and R. Yuan. 2019b. “Stability analysis of seismic slopes with tensile strength cut-off.” Comput. Geotech. 112: 245–256. https://doi.org/10.1016/j.compgeo.2019.04.029.
Hou, C., T. Zhang, Z. Sun, D. Dias, and M. Shang. 2019. “Seismic analysis of nonhomogeneous slopes with cracks using a discretization kinematic approach.” Int. J. Geomech. 19 (9): 04019104. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001487.
Hou, C.-T., and X.-L. Yang. 2020. “Seismic stability of 3D tunnel face considering tensile strength cut-off.” KSCE J. Civ. Eng. 24 (7): 2232–2243. https://doi.org/10.1007/s12205-020-1804-5.
Li, Z.-W., T.-Z. Li, and X.-L. Yang. 2020a. “Three-dimensional active earth pressure from cohesive backfills with tensile strength cutoff.” Int. J. Numer. Anal. Methods Geomech. 44 (7): 942–961. https://doi.org/10.1002/nag.3021.
Li, Z. W., and X. L. Yang. 2019. “Required strength of geosynthetics for reinforced 3D slopes in cohesive backfills with tensile strength cut-off.” Geotext. Geomembr. 47 (6): 729–739. https://doi.org/10.1016/j.geotexmem.2019.103483.
Li, Z.-W., X.-L. Yang, and T.-Z. Li. 2020b. “Static and seismic stability assessment of 3D slopes with cracks.” Eng. Geol. 265: 105450. https://doi.org/10.1016/j.enggeo.2019.105450.
Li, Z., and S. Xiao. 2022. “Seismic stability analysis of two-stage slopes reinforced with one row of piles.” Soil Dyn. Earthquake Eng. 153: 107079. https://doi.org/10.1016/j.soildyn.2021.107079.
Luo, W., J. Li, G. Tang, J. Chen, and C. Dai. 2021. “Upper-bound limit analysis for slope stability based on modified Mohr–Coulomb failure criterion with tensile cutoff.” Int. J. Geomech. 21 (10): 04021184. https://doi.org/10.1061/(ASCE)GM.1943-5622.0002154.
Lv, G. D., Y. He, and B. S. Wei. 2020. “Dynamic stability analysis of slope subjected to surcharge load considering tensile strength cut-off.” Math. Probl. Eng. 2020: 5196303.
Michalowski, R. L. 1985. “Limit analysis of quasi-static pyramidal indentation of rock.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 22 (1): 31–38. https://doi.org/10.1016/0148-9062(85)92591-4.
Michalowski, R. L. 2013. “Stability assessment of slopes with cracks using limit analysis.” Can. Geotech. J. 50 (10): 1011–1021. https://doi.org/10.1139/cgj-2012-0448.
Michalowski, R. L. 2018. “Failure potential of infinite slopes in bonded soils with tensile strength cut-off.” Can. Geotech. J. 55 (4): 477–485. https://doi.org/10.1139/cgj-2017-0041.
Michalowski, R. L., and S. Utili. 2019. “Stability of intact slopes with tensile strength cut-off.” Géotechnique 69 (12): 1123–1126. https://doi.org/10.1680/jgeot.17.D.014.
Park, D., and R. L. Michalowski. 2017. “Three-dimensional stability analysis of slopes in hard soil/soft rock with tensile strength cut-off.” Eng. Geol. 229: 73–84. https://doi.org/10.1016/j.enggeo.2017.09.018.
Park, D., Z. W. Wang, and R. L. Michalowski. 2017. “Consequences of seismic excitation on slopes in soils with a tensile strength cutoff.” In Geotechnical Frontiers, Geotechnical Special Publication 278, edited by T. L. Brandon and R. J. Valentine, 304–313. Reston, VA: ASCE.
Paul, B. 1961. “A modification of the Coulomb–Mohr theory of fracture.” J. Appl. Mech. 28 (2): 259–268. https://doi.org/10.1115/1.3641665.
Perazzelli, P., and G. Anagnostou. 2017. “Uplift resistance of strip anchors in cohesive frictional mediums of limited tensile strength.” Int. J. Geomech. 17 (9): 04017042. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000901.
Qin, C.-B., and S. C. Chian. 2018a. “Kinematic analysis of seismic slope stability with a discretisation technique and pseudo-dynamic approach: A new perspective.” Géotechnique 68 (6): 492–503. https://doi.org/10.1680/jgeot.16.P.200.
Qin, C., and S. C. Chian. 2018b. “New perspective on seismic slope stability analysis.” Int. J. Geomech. 18 (7): 06018013. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001170.
Qin, C., S. C. Chian, and S. Du. 2020. “Revisiting seismic slope stability: Intermediate or below-the-toe failure?” Géotechnique 70 (1): 71–79. https://doi.org/10.1680/jgeot.18.T.001.
Rao, P., J. Wu, Q. Chen, and S. Nimbalkar. 2021a. “Three-dimensional assessment of cracked slopes with pore water pressure using limit analysis.” Environ. Earth Sci. 80 (18): 645. https://doi.org/10.1007/s12665-021-09932-9.
Rao, P. P., J. Wu, G. Y. Jiang, Y. W. Shi, Q. S. Chen, and S. Nimbalkar. 2021b. “Seismic stability analysis for a two-stage slope.” Geomech. Eng. 27 (2): 189–196.
Rao, P., L. Zhao, Q. Chen, and S. Nimbalkar. 2019. “Three-dimensional slope stability analysis incorporating coupled effects of pile reinforcement and reservoir drawdown.” Int. J. Geomech. 19 (4): 06019002. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001375.
Sahoo, P. P., and S. K. Shukla. 2019. “Taylor’s slope stability chart for combined effects of horizontal and vertical seismic coefficients.” Géotechnique 69 (4): 344–354. https://doi.org/10.1680/jgeot.17.P.222.
Spencer, E. 1968. “Effect of tension on stability of embankments.” J. Soil Mech. Found. Div. 94: 1159–1176. https://doi.org/10.1061/JSFEAQ.0001185.
Steedman, R. S., and X. Zeng. 1990. “The influence of phase on the calculation of pseudo-static earth pressure on a retaining wall.” Géotechnique 40 (1): 103–112. https://doi.org/10.1680/geot.1990.40.1.103.
Sun, Z., J. Li, Q. Pan, D. Dias, S. Li, and C. Hou. 2018. “Discrete kinematic mechanism for nonhomogeneous slopes and its application.” Int. J. Geomech. 18 (12): 04018171. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001303.
Utili, S. 2013. “Investigation by limit analysis on the stability of slopes with cracks.” Géotechnique 63 (2): 140–154. https://doi.org/10.1680/geot.11.P.068.
Utili, S., and A. H. Abd. 2016. “On the stability of fissured slopes subject to seismic action.” Int. J. Numer. Anal. Methods Geomech. 40 (5): 785–806. https://doi.org/10.1002/nag.2498.
Zhang, Y.-b., Y. Liu, R. Yuan, and Y. He. 2021. “Comparison of seismic stability for slopes with tensile strength cut-off and cracks.” J. Mountain Sci. 18 (12): 3336–3347. https://doi.org/10.1007/s11629-021-6777-4.
Zhao, L.-H., X. Cheng, Y. Zhang, L. Li, and D.-J. Li. 2016. “Stability analysis of seismic slopes with cracks.” Comput. Geotech. 77: 77–90. https://doi.org/10.1016/j.compgeo.2016.04.007.
Zhou, Z., F. Zhang, Y.-f. Gao, and S. Shu. 2019. “Nested Newmark model to estimate permanent displacement of seismic slopes with tensile strength cut-off.” J. Cent. South Univ. 26 (7): 1830–1839. https://doi.org/10.1007/s11771-019-4137-0.
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© 2022 American Society of Civil Engineers.
History
Received: Feb 1, 2022
Accepted: Jun 9, 2022
Published online: Sep 26, 2022
Published in print: Dec 1, 2022
Discussion open until: Feb 26, 2023
ASCE Technical Topics:
- Analysis (by type)
- Continuum mechanics
- Dynamics (solid mechanics)
- Earthquake engineering
- Engineering fundamentals
- Engineering mechanics
- Excitation (physics)
- Failure analysis
- Geomechanics
- Geotechnical engineering
- Material mechanics
- Material properties
- Materials engineering
- Motion (dynamics)
- Seismic effects
- Seismic tests
- Slope stability
- Slopes
- Solid mechanics
- Strength of materials
- Tensile strength
- Tests (by type)
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