Safety factor analysis of natural slopes using Rigid Plastic Finite Element Method (RPFEM)
##plugins.themes.academic_pro.article.main##
Author
-
Pham Ngoc QuangThe University of Danang - University of Science and Technology, VietnamPham Ngoc VinhThe University of Danang - University of Science and Technology, Vietnam
Từ khóa:
Tóm tắt
In this study, a new method for analyzing safety factor (Fs) of natural slopes was developed. Rigid-plastic constitutive equation for soil materials and a slope stability analysis framework were formulated to account for both soil properties (cohesive strength c and friction angle f) and slope geometry (slope angle β and slope height H). These models enable the analysis of cohesive and frictional strengths within slopes while avoiding the need for excessive element subdivision, thereby allowing for high-precision analysis. To demonstrate the effectiveness of the developed model, its validity was first verified through numerical analysis of simple models with known solutions. The results indicate that this method can reasonably evaluate the stability of slopes across a wide range of soil properties and geometric conditions.
Tài liệu tham khảo
-
[1] Ohtsuka and Y. Miyata. "Slope stability analysis taking into account pre-existing slip lines”, In Proc. of 10th International Conference on International Association for Computer Methods and Advances in Geomechanics, vol. 2, pp. 1601-1604, 2001.
[2] Fei, U. Keizo, and H. Wenfeng. "Slope stability analysis: Comparisons between limit equilibrium methods and elastoplastic finite element method”, Landslides, vol. 39, no. 4, pp. 395-402, 2003.
[3] Yusuf and T. Cetin. "The prediction of the critical factor of safety of homogeneous finite slopes using neural networks and multiple regressions”, Computers & Geosciences, vol. 51, pp. 305-313, 2013.
[4] Xianda, S. Li, C. Yuan, P. Zeng, and Y. Sun. "Prediction of slope stability using naive Bayes classifier”, KSCE Journal of Civil Engineering, vol. 22, pp. 941-950, 2018.
[5] Rukhaiyar, M. N. Alam, and N. K. Samadhiya. "A PSO-ANN hybrid model for predicting factor of safety of slope”, International Journal of Geotechnical Engineering, vol. 12, no. 6, pp. 556-566, 2018.
[6] Farzin and F. Jafari. "A simple direct method for prediction of safety factor of homogeneous finite slopes”, Geotechnical and Geological Engineering, vol. 37, no. 5, pp. 3949-3959, 2019.
[7] Balendra, A. Kukunuri, and R. S. Jakka. "Improvement in prediction of slope stability & relative importance factors using ANN”, Geotechnical and Geological Engineering, vol. 39, no. 8, pp. 5879-5894, 2021.
[8] Arsalan, M. Mohammadi, H. F. H. Ali, H. H. Ibrahim, S. N. Abdulhamid, and H. R. Nejati. "Prediction of safety factors for slope stability: comparison of machine learning techniques”, Natural Hazards, 2022, pp. 1-29.
[9] Tamura, S. Kobayashi, and T. Sumi, "Limit analysis of soil structure by rigid plastic finite element method", Soils and Foundations, vol. 24, no. 1, pp.34-42, 1984.
[10] Tamura, S. Kobayashi, and T. Sumi, "Rigid-plastic finite element method for frictional materials", Soils and Foundations, vol. 27, no. 3, pp. 1-12, 1987.
[11] Tamura, "Rigid-plastic finite element method in geotechnical engineering", In Computational Plasticity. 1990.
[12] N. Quang, S. Ohtsuka, K. Isobe, and Y. Fukumoto. "Effect of Ground Movement Direction on Ultimate Lateral Resistance of Line Alignment Piles in Clay”, GIGAKU, 2018.
[13] N. Quang, S. Ohtsuka, K. Isobe, and Y. Fukumoto. "Group effect on ultimate lateral resistance of piles against uniform ground movement", Soils and Foundations, vol. 59, no. 1, pp. 27-40, 2019.
[14] N. Quang, S. Ohtsuka, K. Isobe, Y. Fukumoto, and T. Hoshina, "Ultimate bearing capacity of rigid footing under eccentric vertical load", Soils and Foundations, vol. 59, no. 6, pp. 1980-1991, 2019.
[15] N. Quang, S. Ohtsuka, K. Isobe, and Y. Fukumoto, "Limit load space of rigid footing under eccentrically inclined load", Soils and Foundations, vol. 60, no. 4, pp. 811-824, 2020.
[16] N. Quang. "Estimation of Ultimate Lateral Resistance of Pile Group, and Ultimate Bearing Capacity of Rigid Footing under Complex Load by using Rigid Plastic Finite Element Method", (Doctoral dissertation, Nagaoka University of Technology), 2020.
[17] N. Quang and S. Ohtsuka, "Ultimate bearing capacity of rigid footing on two-layered soils of sand–clay", International Journal of Geomechanics, vol. 21, no. 7, p.04021115, 2021.
[18] N. Quang, S. Ohtsuka, K. Isobe, and Y. Fukumoto, "Consideration on Limit Load Space of Footing on Various Soils Under Eccentric Vertical Load", In Challenges and Innovations in Geomechanics: Proceedings of the 16th International Conference of IACMAG, vol. 2, no. 16, pp. 75-84, 2021.
[19] N. Quang, S. Ohtsuka, K. Isobe, and Y. Fukumoto, "Limit load space of rigid strip footing on cohesive-frictional soil subjected to eccentrically inclined loads", Computers and Geotechnics, vol. 151, pp. 104956, 2022.
[20] N. Quang and S. Ohtsuka, "Numerical Investigation on Bearing Capacity of Rigid Footing on Sandy Soils Under Eccentrically Inclined Load", In Proceedings of the 2nd Vietnam Symposium on Advances in Offshore Engineering: Sustainable Energy and Marine Planning. Springer Singapore, 2022, pp. 333-341.
[21] N. Quang, S. Ohtsuka, K. Isobe, N.V. Pham, and P.H. Hoang, "Limit load space of rigid strip footing on sand slope subjected to combined eccentric and inclined loading", Computers and Geotechnics, vol. 162, pp. 105652, 2023.
[22] N. Quang, S. Ohtsuka, K. Isobe, and P.H. Hoang, "Ultimate bearing capacity of rigid strip footings on c-ϕ soil subjected to combined eccentric and inclined loading", in IOP Conference Series: Materials Science and Engineering, vol. 1289, no. 1, p. 012088. IOP Publishing, 2023.
[23] N. Vinh, P. N. Quang, and H. Thang, "Effect of foundation surface roughness on ultimate bearing capacity of an eccentrically loaded foundation", the University of Danang – Journal of Science and Technology, vol. 21, no. 12.1, pp. 28–33, 2023.
[24] N. Quang and P. N. Vinh, "Effect of footing roughness on ultimate bearing capacity of rigid strip footing on sandy soil slope", the University of Danang – Journal of Science and Technology, vol. 21, no. 12.1, pp. 22–27, 2023.
[25] N. Quang and P. N. Vinh, "Estimation of ultimate bearing capacity of strip footings on cohesive-frictional soils using non-linear shear strength model", the University of Danang – Journal of Science and Technology, vol. 22, no. 6.A, pp. 29–34, 2024.
[26] Tatsuoka, M. Sakamoto, T. Kawamura, and S. Fukushima, "Strength and deformation characteristics of sand in plane strain compression at extremely low pressures", Soils and Foundations, vol 26, no. 1, pp. 65-84, 1986.
[27] Asaoka and S. Ohtsuka, "The analysis of failure of a normally consolidated clay foundation under embankment loading", Soils and Foundations, vol. 26, no. 2, pp. 47-59, 1986.
[28] Asaoka and S. Ohtsuka, "Bearing capacity analysis of a normally consolidated clay foundation", Soils and foundations, vol. 27, no. 3, pp. 58-70, 1987.
[29] Asaoka, S. Ohtsuka, and M. Matsuo, "Coupling analyses of limiting equilibrium state for normally consolidated and lightly overconsolidated soils", Soils and Foundations, vol. 30, no. 3, pp. 109-123, 1990.
[30] Kobayashi, "Hybrid type rigid plastic finite element analysis for bearing capacity characteristics of surface uniform loading”, Soils and Foundations, vol. 45, no. 2, pp. 17-27, 2005.
[31] Hoshina, "Rigid plastic stability analysis for slope including thin weak layer", Japanese Geotechnical Journal, vol. 6, no. 2, pp. 191-200, 2011.
[32] Hoshina, S. Ohtsuka, and K. Isobe, "Ultimate bearing capacity of ground by Rigid plastic finite element method taking account of stress dependent non-linear strength property", Journal of Applied Mechanics, vol. 6, no. 2, pp. I_327-I_336, 2012.
[33] L. Du, S. Ohtsuka, T. Hoshina, and K. Isobe, "Discussion on size effect of footing in ultimate bearing capacity of sandy soil using rigid plastic finite element method", Soils and foundations, vol. 56, no. 1, pp. 93-103, 2016.
[34] Iqbal, S. Ohtsuka, K. Isobe, Y. Fukumoto, and K. Kaneda, "Modified ultimate bearing capacity formula of strip footing on sandy soils considering strength non-linearity depending on stress level", Soils and Foundations, vol. 63, no. 3, 101325, 2023.
[35] P. N. Quang, P. N. Vinh, and H. P. Hoa, "Analyzing bearing capacity of a shallow foundation on cohesion-less soils under combined loads", the 9th International Conference on Applying New Technology in Green Buildings (ATiGB), no. 9, pp. 32–37, 2024.