冲切破坏模式下溶洞顶板极限承载力计算

doi:10.13722/j.cnki.jrme.2018.0387

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Abstract Based on the punching failure mode of the cavern roof， a functional equation of the failure surface of the punching body was established by using the upper bound method in limit analysis so that the functional expression of the ultimate bearing capacity of the three-dimensional cavern roof was derived. The breaking line equation of the punching body is obtained with variation method. The formula for the bottom diameter of the punching body and the ultimate bearing capacity of the three-dimensional cavern roof were obtained through the partial derivative. The rationality of the theoretical method was verified through comparison with the experimental results. The impact of GSI on the ultimate bearing capacity of cavern roof and the bottom diameter of the punching body were analyzed. The results indicated that when h is 1D to 4D，the ultimate bearing capacity of cavern roof increases approximately linearly with the increasing of h. When h is 5D，the ultimate bearing capacity of cavern roof is the same as the that of bedrock. When the ratio of thickness to diameter is constant，the ultimate bearing capacity of roof increases nonlinearly with the increasing of GSI. When h is 1D and GSI takes 44，the capacity coefficient of cavern roof is 0.73，and when GSI takes 100，the value is 1.42，which is about twice the former. Under the same thickness of cavern roof，the diameter of the bottom of the punching body decreases approximately linearly with the increasing of GSI. When GSI takes 44 and the thickness of the cavern roof is 1D，the diameter of the bottom of the punching body is 0.20 m，which is 1.25，1.54 and 1.70 times of that when the GSI is taken as 65，85 and 100，respectively. Similar relationships exist for other thickness of cavern roof.

Key words： foundation engineering cavern roof ultimate bearing capacity punching failure experimental study limit analysis upper bound method

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	Articles by authors
	LEI Yong1
	LIU Yixin1
	DENG Jiazheng1
	YIN Junfan2
	ZHANG Zongtang1

Cite this article:

LEI Yong1,LIU Yixin1,DENG Jiazheng1, et al. Calculation of ultimate bearing capacity of cave roof under punching failure mode[J]. , 2018, 37(9): 2162-2169.

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http://www.rockmech.org/EN/10.13722/j.cnki.jrme.2018.0387 OR http://www.rockmech.org/EN/Y2018/V37/I9/2162

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