Abstract
In order to investigate the freeze-thaw law of frame-anchored supported slopes in the seasonal freezing zone, based on the theory of the heat and matter passing, the mathematic model equations of temperature, moisture, and stress fields were established. The temperature and moisture fields were analyzed using the finite difference method, and the stress fields were analyzed using the finite unit method at each time step. For the synergistic effect of soil and support structure, a zero-width four-node unit is proposed as a link unit to reflect the linkage between the two. The calculation program was prepared using MATLAB software, and the accuracy practicability of the program is verified by the accordance of calculating and experimenting results. These results indicate the following: the top of the slope is more affected by temperature, and the maximum depth of surface temperature effect on the soil is 2.0m and 1.5m at freezing and thawing, respectively. The shear stress at freezing is about 2.5 times of that at thawing and is evenly distributed on the slope, when the slope is in a stable state; the shear stress at the foot of the slope appears stress concentration at the thawing, and sudden change of shear stress occurs at the intersection of the thawing and freezing zones, at which time the slope is in an unstable state; the inner force of anchor rod in freezing condition is the largest among the 3 working conditions, about 2.4~2.5 times of the initial condition; the anchor rod leaves residual stress in thawing, about 1.1~1.3 times of the initial condition. It shows that the frost deformation during the frozen-thaw process has a great influence on the internal force of the anchor rod. Once its tensile limit is exceeded, the anchor rod will be pulled out, resulting in protection failure and slope instability. Therefore, the effect of frost deformation on the internal force of anchor rod should not be ignored, and it is necessary to pay attention to the slope engineering in similar soil climate areas.
Similar content being viewed by others
References
Jin D, Sun JF, Fu SL (2005) Discussion on the formation mechanism of two types of low-angle landslide disasters in permafrost regions of Qinghai-Tibet Plateau. Rock and Soil Mechanics 26(5):774–778
Zhang S, He N, Zhong W, Hu KH, Yang HJ (2021a) Review and prospect on landslide disaster monitoring and prediction. Journal of China Three Gorges University 43(9):39–48
Li G, Li N, Yu C, He M (2021). Bearing capacity behaviour of prestressed anchor cable under slope blasting excavation. Arabian Journal of Geosciences, 9:1-16.
Wu J, Liu L, Deng Y, Zhang G, Wang Q (2021) Distinguishing the effects of cementation versus density on the mechanical behavior of cement-based stabilized clays. Construction and Building Materials. 8:22–31
Wu J, Xuan Y, Deng Y, Li X, Zhou A (2020) Combined vacuum and surcharge preloading method to improve lianyungang soft marine clay for embankment widening project: A case. Geotextiles and Geomembranes. 9:32–41
Zhang L, Ren F, Hao L, Cheng DB, Sun BY (2021b) The influence mechanism of freeze-thaw on soil erosion: a review. Water 8:1010–1021
Xin J, Cui Z, Ma M, Lu W (2021) Effect of freeze-thaw cycles on shear strength of unsaturated bentonite modified clay show more outline. Physics and Chemistry of the Earth Parts 121:101–112
Abdolghanizadeh K, Hosseini M, Saghafiyazdi M (2020) Effect of freezing temperature and number of freeze–thaw cycles on mode i and mode ii fracture toughness of sandstone - sciencedirect. Theoretical and Applied Fracture Mechanics 105:201–222
Vahdani M, Ghazavi M, Roustaei M (2020) A capped constitutive model for frozen-thawed soil. Transportation Geotechnics 26:100–119
Ye SH, Zhao ZF (2020) Seismic response of prestressed anchors with frame structure. Mathematical Problems in Engineering 3:1–15
Kumbasaroglu A (2020) Effect of anchor bars on seismic behavior of infilled walled frames. KSCE Journal of Civil Engineering 24:2980–2992
Yu S, Xin L, Wei C (2021) Study on reinforcement effect of H type assembled anchoring joint in portal frame. Advances in Structural Engineering 24:1883–1895
Kong XQ, Wang CP (1981) The application of finite element method in heat transfer. Science Press, Beijing
An WD (1990) Temperature and water stress of frozen soil and its interaction. Lanzhou University Press, Lanzhou
Lu XL (2016) Nonlinear finite element theory and application of reinforced concrete structures. Tongji University Press, Shanghai
Zeng P (2014) Finite element analysis and application. Tsinghua University Press, Beijing
M. Necati Özisik (2017) Finite difference methods in heat transfer. CRC Press
Li SH, Li YX, Gao XY, Shi DM (2020) The influence of freezing and thawing on the shear strength of undisturbed loess. Chinese Journal of Civil and Environmental Engineering 42:48–55
Xu XZ, Wang JC, Zhang LX (2014) Physics of frozen soil. Science Press, Beijing
Jiang ZY, Sun JZ, Tang JM (2008) Research on the stress-strain relationship of frozen soil under reciprocating load. Glacier and Geocryology 2:301–305
He M, Li N, Liu NF (2012) Analysis and verification of hydro-thermal-mechanical coupling model for saturated frozen soil. Chinese Journal of Geotechnical Engineering 34:1858–1865
Lu JH, Yang ZN, Shi W, Li GY (2021) Model test of reinforced expamsive soil slope stability in frezze-thaw cycles. Journal of Jilin University 5:1587–1596
Wang GA, Gao J, Du YH (2021) Analysis of subgrade slope stability in cold region based on rock and soil water-physical properties. Geotechnical Engineering Technique 35:174–178
Jamshidvand S, Ardakani A, Kordnaeij A (2021) Effect of cement and zeolite on silty sand samples under freeze–thaw cycles. Road Materials and Pavement Design 3:1–24
Bourne MA, Sijacki D (2021) AGN jet feedback on a moving mesh: gentle cluster heating by weak shocks and lobe disruption. Monthly Notices of the Royal Astronomical Society 506(1):488–513. https://doi.org/10.1093/mnras/stab1662
Lu S-F, Feng S-J, Zheng Q-T, Bai Z-B (2021) A multi-phase multi-component model for coupled processes in anaerobic landfills: theory implementation and validation. Géotechnique 71(9):826–842. https://doi.org/10.1680/jgeot.20.P.002
Orozco LF, Caicedo B (2017) Water migration in unsaturated partially hydrophobic soils. Géotechnique Letters 7(1):18–23. https://doi.org/10.1680/jgele.16.00105
Mahir N (2017) Three dimensional heat transfer from a square cylinder at low Reynolds numbers. International Journal of Thermal Sciences 119:37–50. https://doi.org/10.1016/j.ijthermalsci.2017.04.031
Jamshidvand S, Ardakani A, Kordnaeij A (2021) Effect of cement and zeolite on silty sand samples under freeze–thaw cycles. Road Materials and Pavement Design 1–24. https://doi.org/10.1080/14680629.2021.1924238
Atila (2020) Effect of Anchor Bars on Seismic Behavior of Infilled Walled Frames. KSCE Journal of Civil Engineering 24:2980–2992
Funding
The work described in this paper was fully supported by a grant from the QingHai Depaetment of Science and Technology Project “Study on the mechanism of meltwater precipitation causing disaster on alpine loess slopes and the synergistic slope protection by mixed planting (No. 2020-ZJ-718)” and Ministry of Education of the People’s Republic of China “Chunhui Program (No. QDCH2018002).”
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no competing interests.
Additional information
Responsible Editor: Zeynal Abiddin Erguler
Rights and permissions
About this article
Cite this article
Tian, X., Yuan-xun, L., Shuai-hua, Y. et al. Coupling effect of heat-moisture-stress on the freeze-thaw characteristics of slope supported with framed anchor. Arab J Geosci 15, 33 (2022). https://doi.org/10.1007/s12517-021-09305-3
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s12517-021-09305-3