Geomechanics and Engineering

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Solution for surrounding rock of strain-softening considering confining pressure-dependent Young's modulus and nonlinear dilatancy

  • Liang, Peng (Key Laboratory of Ministry of Education for Efficient Mining and Safety of Metal Mines, University of Science and Technology Beijing) ;
  • Gao, Yongtao (Key Laboratory of Ministry of Education for Efficient Mining and Safety of Metal Mines, University of Science and Technology Beijing) ;
  • Zhou, Yu (Key Laboratory of Ministry of Education for Efficient Mining and Safety of Metal Mines, University of Science and Technology Beijing) ;
  • Zhu, Chun (School of Earth Science and Engineering, Hohai University) ;
  • Sun, Yanhua (School of Civil Engineering, Guizhou University of Engineering Science)
  • Received : 2020.05.18
  • Accepted : 2020.07.08
  • Published : 2020.08.25
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Abstract

This paper presents an elastic-plastic solution for the circular tunnel of elastic-strain softening behavior considering the pressure-dependent Young's modulus and the nonlinear dilatancy. The proposed solution is verified by the results of the field measuring and numerical simulation from a practical project, and a published closed-form analysis solution. The influence of each factor is discussed in detail, and the ability of Young's modulus and dilatancy characterizing the mechanical response of surrounding rock is investigated. It is found that, in low levels of support pressure, adopting the constant Young's modulus model will seriously misestimate the surrounding rock deformation. Using the constant dilatancy model will underestimate the surrounding rock deformation. When adopting the constant dilatancy model, as the dilation angle increases, the range of the plastic region increases, and the surrounding rock deformation weakens. When adopting the nonlinear dilatancy, the plastic region range and the surrounding rock deformation are the largest. The surrounding rock deformation using pressure-dependent Young's modulus model is between those resulted from two constant Young's modulus models. The constant α of pressuredependent Young's modulus model is the main factor affecting the tunnel displacement. The influence of α using a constant dilatancy model is much more apparent than that using a nonlinear dilatancy model.

Keywords

Acknowledgement

The research described in this paper was financially supported by the National Natural Science Foundation of China (Grant No. 51504016) and Fundamental Research Funds for the Central Universities (Grant No. FRF-TP-18-016A3) and Technology top talent support project of Guizhou Provincial Education Department ([2017]098).

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