Abstract
Rupture and safety of perilous rock are dominated by control fissure behind perilous rock block. Based on model-I and model-II stress strength factors of control fissure under acting of weight of perilous rock, water pressure in control fissure and earthquake forces, method to calculate critical linking length of control fissure is established. Take water pressure in control fissure as a variable periodic load, and abide by P-M criterion, when control fissure is filled with water, establish the method to calculate fatigue fracture life of control fissure in critical status by contributing value of stress strength factor stemming from water pressure of control fissure in Paris’s fatigue equation. Further, parameters (C and m) of sandstone with quartz and feldspar in the area of the Three Gorges Reservoir of China are obtained by fatigue fracture testing.
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References
Chen Hongkai, Tang Hongmei, Ye Siqiao. Research on damage model of control fissure in perilous rock[J]. Applied Mathematics and Mechanics (English Edition), 2006, 27(7):967–974.
Chen Hongkai, Tang Hongmei, Wang Rong. Calculation method of stability for unstable rock and application to the Three Gorges Reservoir[J]. Chinese Journal of Rock Mechanics and Engineering, 2004, 23(4):614–619 (in Chinese).
The standard of Chongqing city. The design standard of Engineering against geological disasters[S]. DB50/5029-2004, 58–72 (in Chinese).
Yuan Jianxin. Rock damage problems[J]. Rock and Soil Mechanics, 1993, 14(1):1–31 (in Chinese).
Hong Qichao. Basic fracture mechanics in engineering[M]. Shanghai: Press of Shanghai Jiaotong University, 1987, 52–162 (in Chinese).
Kuang Zhengbang. Field at end of cracks[M]. Xi’an: Press of Xi’an Jiaotong University, 2002, 23–62 (in Chinese).
Wang Gang, Zhang Yi, Guo Maolin. Analysis and calculation of fracture life of materials under action of low periodic fatigue and non-symmetric loads[J]. Chinese Journal of Applied Mechancis, 2001, 18(1):91–97 (in Chinese).
Zhou Junqi, Wang Linghui. Macro-mechanics behavior in fatigue fracture of a glass-geramic material[J]. Materials Science & Technology, 1998, 6(1):73–77 (in Chinese).
Li Ning, Zhang Ping, Chen Yunsheng, et al. Fatigue properties of cracked, saturated and frozen sandstone samples under cyclic loading[J]. International Journal of Rock Mechanics & Mining Sciences, 2003, 40:145–150.
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(Communicated by XIE He-ping)
Project supported by the National Natural Science Foundation of China (No.50678182) and the Chunhui International Fundation of China (NO.Z2005155002)
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Chen, Hk., Tang, Hm. Method to calculate fatigue fracture life of control fissure in perilous rock. Appl Math Mech 28, 643–649 (2007). https://doi.org/10.1007/s10483-007-0509-1
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DOI: https://doi.org/10.1007/s10483-007-0509-1