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2022 Vol.32, Issue 1

Research Article

A Closed-Form Solution for Circular Openings in an Elastic–Brittle–Plastic Extended Spatial Mobilized Plane Medium
Chuangzhou Wu1
,
Wei Guo2
,
Bo-An Jang3*
1Professor, Institute of Port, Coastal and Offshore Engineering, Ocean College, Zhejiang University
2Professor, State Key Laboratory of Hydraulic Engineering Simulation and Safety, School of Civil Engineering, Tianjin University
3Professor, Department of Geophysics, Kangwon National University
*Corresponding Author
31 March 2022. pp. 1-12
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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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Information
  • Publisher :Korean Society of Engineering Geology
  • Publisher(Ko) :대한지질공학회
  • Journal Title :The Journal of Engineering Geology
  • Journal Title(Ko) :지질공학
  • Volume : 32
  • No :1
  • Pages :1-12
  • Received Date : 2022-03-08
  • Revised Date : 2022-03-28
  • Accepted Date : 2022-03-28
  • DOI :https://doi.org/10.9720/kseg.2022.1.001
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