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Three-Dimensional Collapse Analysis for a Shallow Cavity in Layered Strata Based on Upper Bound Theorem

文献类型：期刊论文

作者Wang, Hongtao1,5; Liu, Ping1,5; Wang, Lige3,4; Liu, Chi2; Zhang, Xin1,5; Liu, Luyao1,5
刊名CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
出版日期2020
卷号124期号:1页码:375-391
关键词Shallow cavity three-dimensional collapse layered rock strata upper bound theorem Hoek-Brown strength criterion
ISSN号1526-1492
DOI10.32604/cmes.2020.08270
英文摘要Layered rock strata are observed to be common during the excavation of tunnels or cavities, and may significantly affect the deformation and failure characteristics of surrounding rock masses due to various complex forms and mechanical properties. In this paper, we propose a three-dimensional axisym-metric velocity field for roof collapse of shallow cavities in multi rock layers, by considering the influences of roof cross-section shapes, supporting pressure, ground overload, etc. The internal energy dissipation rate and work rates of exter-nal forces corresponding to the velocity field are computed by employing the Hoek-Brown strength criterion and its associated flow rule. Further, the equations of the collapse surfaces and the corresponding weight of collapsing rock masses are derived on the basis of upper bound theorem. Furthermore, we validate the proposed method by comparing the results of numerical calculations and existing research findings. The change laws of the collapse range under varying para-meters are obtained for the presence of rectangular and spherical cavities. We also find that the three-dimensional mechanism is relatively safer for engineering designing actually, compared with the traditional two-dimensional mechanism. All these conclusions may provide workable guidelines for the support design of shallow cavities in layered rock strata practically.
资助项目National Natural Science Foundation of China[51704177] ; National Natural Science Foundation of China[51809159] ; Project of Shandong Province Higher Educational Science and Technology Program[J16LG04] ; Open Research Fund of State Key Laboratory of Geomechanics and Geotechnical Engineering[Z018005] ; Shandong Co-Innovation Center for Disaster Prevention and Mitigation of Civil Structures[XTP201911] ; Doctoral Research Fund of Shandong Jianzhu University[XNBS1501]
WOS研究方向Engineering ; Mathematics
语种英语
WOS记录号WOS:000546262900019
出版者TECH SCIENCE PRESS
源URL[http://119.78.100.198/handle/2S6PX9GI/24456]  
专题中科院武汉岩土力学所
通讯作者Wang, Hongtao; Wang, Lige
作者单位1.Shandong Jianzhu Univ, Sch Civil Engn, Jinan, Peoples R China
2.Jinan Rail Transit Grp Co Ltd, Jinan, Peoples R China
3.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn, Wuhan, Peoples R China
4.Univ Sheffield, Dept Chem & Biol Engn, Sheffield, S Yorkshire, England
5.Shandong Jianzhu Univ, Minist Educ, Key Lab Bldg Struct Retrofitting & Underground Sp, Jinan, Peoples R China
推荐引用方式
GB/T 7714		 Wang, Hongtao,Liu, Ping,Wang, Lige,et al. Three-Dimensional Collapse Analysis for a Shallow Cavity in Layered Strata Based on Upper Bound Theorem[J]. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES,2020,124(1):375-391.
APA Wang, Hongtao,Liu, Ping,Wang, Lige,Liu, Chi,Zhang, Xin,&Liu, Luyao.(2020).Three-Dimensional Collapse Analysis for a Shallow Cavity in Layered Strata Based on Upper Bound Theorem.CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES,124(1),375-391.
MLA Wang, Hongtao,et al."Three-Dimensional Collapse Analysis for a Shallow Cavity in Layered Strata Based on Upper Bound Theorem".CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES 124.1(2020):375-391.

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来源：武汉岩土力学研究所

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