Abstract
In the freeze–thaw zone of the eastern Sichuan–Tibet Mountains, the phases of water in cracks show strong seasonal variations, which significantly affect the stability of perilous rocks. However, few studies have clearly addressed the role of water/ice in crack development from a fracture mechanics viewpoint to explain the seasonality of rock collapse. In this study, we built physical models from a fracture mechanics viewpoint to calculate water-freezing stress, hydrostatic pressure, and their combinations induced by water/ice in cracks and show the crack propagation mechanism under temperature fluctuations in different seasons in mountainous regions. On the basis of these models, we calculate fracture conditions, simulate the crack process, and illustrate the rock collapse mechanism in different seasons using the extended finite element method. The results indicate that different phases of water, which induce stress under spatiotemporal fluctuations of temperature, determine the various propagation styles and influence what kind and when a collapse will occur. The collapse of fractured rocks in different seasons generally results from rock damage accumulation owing to the initiation, propagation, and connection of primary cracks under freezing stress or hydrostatic pressure or different combinations of these processes.
This is a preview of subscription content, access via your institution.



















References
Alippi C, Camplani R, Galperti C, Marullo A, Roveri M (2010) An hybrid wireless-wired monitoring system for real-time rock collapse forecasting. In: The 7th IEEE international conference on mobile ad-hoc and sensor systems (IEEE MASS 2010). pp 224–231
Backers T, Stephansson O (2012) ISRM suggested method for the determination of mode II fracture toughness. Rock Mech Rock Eng 45:1011–1022. https://doi.org/10.1007/s00603-012-0271-9
Bassis JN, Walker CC (2011) Upper and lower limits on the stability of calving glaciers from the yield strength envelope of ice. Proc R Soc A Math Phys Eng Sci 468:913–931. https://doi.org/10.1098/rspa.2011.0422
Chen H, Tang H, He X (2012) Stability analysis of perilous rock in views of damage and fracture mechanics. Adv Mater Res 455–456:1561–1566.
Dramis F, Govi M, Guglielmin M, Mortara G (1995) Mountain permafrost and slope instability in the Italian Alps. The Val Pola Landslide. Permafr Periglac Process 6:73–81. https://doi.org/10.1002/ppp.3430060108
Du M, Liu J, Zhang X, Li Y, Tang Y (2017) Spatial distributions of surface-air-temperature on the Tibetan Plateau and its recent change. Int J Energy Environ Eng 11:89–93
Eisbacher GH (1979) Cliff collapse and rock avalanches (sturzstroms) in the Mackenzie Mountains, northwestern Canada. Can Geotech J 16:309–334. https://doi.org/10.1139/t79-032
Erdogan F, Sih GC (1963) On the crack extension in plates under plane loading and transverse shear. J Basic Eng 85:519–525. https://doi.org/10.1115/1.3656897
Ez Eldin MAM, Tang H, Xu Y, Xiong C, Ge Y (2013) Engineering geological and geophysical assessment of the 2009 Jiwei Shan rockslide, Wulong, China. Open J Geol 3:60–70. https://doi.org/10.4236/ojg.2013.32B014
Fowell RJ, Hudson JA, Xu C, Chen JF (1995) Suggested method for determining mode-I fracture-toughness using cracked chevron-notched Bbrazilian disc (ccnbd) specimens. Int J Rock Mech Min Sci Geomech Abstr 32:57–64. https://doi.org/10.1016/0148-9062(95)92395-X
Godbout S, Chénard L, Marquis A (2000) Instantaneous Young’s modulus of ice from liquid manure. Can Agric Eng 42:95–100
Griffith AA (1921) The phenomena of rupture and flow in solids. Philosop Trans R Soc London Ser A Contain Papers Mathr Phys Char 221:163–198. https://doi.org/10.1098/rsta.1921.0006
Hallet B (2006) Geology. why do freezing rocks break? Science 314:1092–1093. https://doi.org/10.1126/science.1135200
Hore K, Kelman I, Mercer J, Gaillard JC (2018) Climate change and disasters. In: Rodríguez H, Donner W, Trainor JE (eds) Handbook of disaster research. Springer International Publishing, Cham, pp 145–159
Hu KH, Wu CH, Tang JB, Pasuto A, Li YJ, Yan SX (2018) New understandings of the June 24th 2017 Xinmo Landslide, Maoxian, Sichuan, China. Landslides 15:2465–2474. https://doi.org/10.1007/s10346-018-1073-2
Locat P, Couture R, Leroueil S, Locat J, Jaboyedoff M (2006) Fragmentation energy in rock avalanches. Can Geotech J 43:830–851. https://doi.org/10.1139/t06-045
Mamot P, Weber S, Schröder T, Krautblatter M (2018) A temperature- and stress-controlled failure criterion for ice-filled permafrost rock joints. Cryosphere 12:3333–3353. https://doi.org/10.5194/tc-12-3333-2018
McCarthy C, Savage H, Nettles M (2017) Temperature dependence of ice-on-rock friction at realistic glacier conditions. Philos Trans A Math Phys Eng Sci. https://doi.org/10.1098/rsta.2015.0348
Neaupane KM, Yamabe T (2001) A fully coupled thermo-hydro-mechanical nonlinear model for a frozen medium. Comput Geotech 28:613–637. https://doi.org/10.1016/S0266-352x(01)00015-5
Nicholson DT, Nicholson FH (2000) Physical deterioration of sedimentary rocks subjected to experimental freeze-thaw weathering. Earth Surf Proc Land 25:1295–1307. https://doi.org/10.1002/1096-9837(200011)25:12%3c1295::Aid-esp138%3e3.0.Co;2-e
Panek T, Hradecky J, Silhan K, Smolkova V, Altova V (2009) Time constraints for the evolution of a large slope collapse in karstified mountainous terrain of the southwestern Crimean Mountains, Ukraine. Geomorphology 108:171–181. https://doi.org/10.1016/j.geomorph.2009.01.003
Wang Y, Waisman H (2018) An arc-length method for controlled cohesive crack propagation using high-order XFEM and Irwin’s crack closure integral. Eng Fract Mech 199:235–256. https://doi.org/10.1016/j.engfracmech.2018.05.018
Wu Y, Wang Y, Haim W, He S, Li X (2020) Fracture of rocks in the mountains of Southeast Tibet under hydrothermal conditions at different elevations. Bull Eng Geol Env 79:4291–4308. https://doi.org/10.1007/s10064-020-01806-x
Xu Q, Shang Y, van Asch T, Wang S, Zhang Z, Dong X (2012) Observations from the large, rapid Yigong rock slide – debris avalanche, southeast Tibet. Can Geotech J 49:589–606. https://doi.org/10.1139/t2012-021
Acknowledgements
Funding for this work was provided through the National Key R&D Program of China (2018YFC1505003-5) and the National Natural Science Foundation of China (41877291, 41672356). We thank Esther Posner, PhD, from Liwen Bianji, Edanz Editing, China (www.liwenbianji.cn/ac), for editing the English text of a draft of this manuscript.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Wu, Y., Li, X. & Zhu, L. Fracture mechanism of rock collapse in the freeze–thaw zone of the eastern Sichuan–Tibet Mountains under seasonal fluctuating combinations of water and heat. Nat Hazards 108, 2309–2333 (2021). https://doi.org/10.1007/s11069-021-04781-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11069-021-04781-y
Keywords
- Rock collapse
- Fracture mechanics
- Seasonal temperature fluctuation
- Eastern Sichuan–Tibet
- Combination of water and heat