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KSCE Journal of Civil Engineering

, Volume 20, Issue 2, pp 687–701 | Cite as

Theoretical solutions for a circular opening in an elastic–brittle–plastic rock mass incorporating the out-of-plane stress and seepage force

  • Jin-feng Zou
  • Shuai-shuai Li
  • Yuan Xu
  • Han-cheng DanEmail author
  • Lian-heng Zhao
Geotechnical Engineering

Abstract

Seepage force is simplified as seepage volumetric force in the stress field along the radial direction. Out-of-plane stress and seepage force are incorporated, and the theoretical solutions for stress, displacement, and plastic radius of a circular opening for the elastic-brittle-plastic and elastic-plastic rock mass are proposed based on the Mohr–Coulomb (MC) and generalized Hoek-Brown (HB) failure criteria. The presented solution and Wang’s solution (2012) are compared, and the corrected version of the proposed method is validated. Numerical examples of the proposed method based on the MC and generalized HB failure criteria reveal that the distributions of stress and displacement in the surrounding rock of the tunnel are significantly influenced by seepage force and out-ofplane stress. Displacement and plastic radius when seepage force and out-of-plane stress are considered are larger than those when the seepage force is not considered; the regulations of stress, however, run opposite. The results of displacement and plastic radius based on the generalized HB failure criterion are larger than those based on the MC failure criterion.

Keywords

out-of-plane stress seepage force elastic-brittle-plastic model elastic-plastic model circular tunnel 

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Copyright information

© Korean Society of Civil Engineers and Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  • Jin-feng Zou
    • 1
  • Shuai-shuai Li
    • 1
  • Yuan Xu
    • 1
  • Han-cheng Dan
    • 1
    Email author
  • Lian-heng Zhao
    • 1
  1. 1.School of Civil EngineeringCentral South UniversityChangsha, HunanChina

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