A Closed-form Solution for Circular Openings in Elastic-brittle-plastic Extended Spatial Mobilized Plane (SMP) Medium
- Resource Type
- Article
- Authors
- Chuangzhou Wu; Wei Guo; 장보안
- Source
- 지질공학, 32(1), 111, pp.1-12 Mar, 2022
- Subject
- 자원공학
- Language
- English
- ISSN
- 2287-7169
1226-5268
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.