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http://dx.doi.org/10.9720/kseg.2022.1.001

A Closed-Form Solution for Circular Openings in an Elastic-Brittle-Plastic Extended Spatial Mobilized Plane Medium  

Wu, Chuangzhou (Institute of Port, Coastal and Offshore Engineering, Ocean College, Zhejiang University)
Guo, Wei (State Key Laboratory of Hydraulic Engineering Simulation and Safety, School of Civil Engineering, Tianjin University)
Jang, Bo-An (Department of Geophysics, Kangwon National University)
Publication Information
The Journal of Engineering Geology / v.32, no.1, 2022 , pp. 1-12 More about this Journal
Abstract
Based on the extended spatial mobilization plane (SMP) criterion, we present an elastic-brittle-plastic solution for an axisymmetric cylindrical tunnel. The influences of the intermediate principal compressive stress and material strain-softening behavior are considered. Closed-form formulas for the critical support force, radius of plastic zone, and distributions of stress and displacement in surrounding rock are proposed. The elastic-plastic solution based on SMP is compared with the Kastner solution to verify the credibility of the obtained elastic-plastic solution. The elastic-brittle-plastic solution following the SMP criterion and the current solution based on the Mohr-Coulomb criterion are also compared. The rock strain-softening rate and the intermediate principal stress affect the stability of the surrounding rock. The results provide guidance for optimizing the design of support systems for tunnels.
Keywords
tunnel; underground construction; rock; failure; tunneling; plasticity;
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