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ARTICLE
Three-Dimensional Collapse Analysis for a Shallow Cavity in Layered Strata Based on Upper Bound Theorem
Hongtao Wang1,2,*, Ping Liu1,2, Lige Wang3,4,*, Chi Liu5, Xin Zhang1,2, Luyao Liu1,2
1 School of Civil Engineering, Shandong Jianzhu University, Jinan, China
2 Key Laboratory of Building Structural Retrofitting and Underground Space Engineering (Shandong Jianzhu University), Ministry
of Education, Jinan, China
3 Department of Chemical and Biological Engineering, University of Sheffield, Sheffield, UK
4 State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of
Sciences, Wuhan, China
5 Jinan Rail Transit Group Co., Ltd., Jinan, China
* Corresponding Authors: Hongtao Wang. Email: ; Lige Wang. Email:
(This article belongs to the Special Issue: Modeling and Simulation of Fluid flows in Fractured Porous Media: Current Trends and Prospects)
Computer Modeling in Engineering & Sciences 2020, 124(1), 375-391. https://doi.org/10.32604/cmes.2020.08270
Received 11 August 2019; Accepted 25 March 2020; Issue published 19 June 2020
Abstract
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 axisymmetric 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 external 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 parameters 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.
Keywords
Cite This Article
APA Style
Wang, H., Liu, P., Wang, L., Liu, C., Zhang, X. et al. (2020). Three-dimensional collapse analysis for a shallow cavity in layered strata based on upper bound theorem. Computer Modeling in Engineering & Sciences, 124(1), 375-391. https://doi.org/10.32604/cmes.2020.08270
Vancouver Style
Wang H, Liu P, Wang L, Liu C, Zhang X, Liu L. Three-dimensional collapse analysis for a shallow cavity in layered strata based on upper bound theorem. Comput Model Eng Sci. 2020;124(1):375-391 https://doi.org/10.32604/cmes.2020.08270
IEEE Style
H. Wang, P. Liu, L. Wang, C. Liu, X. Zhang, and L. Liu "Three-Dimensional Collapse Analysis for a Shallow Cavity in Layered Strata Based on Upper Bound Theorem," Comput. Model. Eng. Sci., vol. 124, no. 1, pp. 375-391. 2020. https://doi.org/10.32604/cmes.2020.08270