Geomechanics and Engineering

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Analysis of cavity expansion based on general strength criterion and energy theory

  • Chao Li (State Key Laboratory of Intelligent Construction and Healthy Operation and Maintenance of Deep Underground Engineering, China University of Mining and Technology) ;
  • Meng-meng Lu (State Key Laboratory of Intelligent Construction and Healthy Operation and Maintenance of Deep Underground Engineering, China University of Mining and Technology) ;
  • Bin Zhu (State Key Laboratory of Intelligent Construction and Healthy Operation and Maintenance of Deep Underground Engineering, China University of Mining and Technology) ;
  • Chao Liu (State Key Laboratory of Intelligent Construction and Healthy Operation and Maintenance of Deep Underground Engineering, China University of Mining and Technology) ;
  • Guo-Yao Li (State Key Laboratory of Intelligent Construction and Healthy Operation and Maintenance of Deep Underground Engineering, China University of Mining and Technology) ;
  • Pin-Qiang Mo (State Key Laboratory of Intelligent Construction and Healthy Operation and Maintenance of Deep Underground Engineering, China University of Mining and Technology)
  • Received : 2023.11.25
  • Accepted : 2024.03.04
  • Published : 2024.04.10
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Abstract

This study presents an energy analysis for large-strain cavity expansion problem based on the general strength criterion and energy theory. This study focuses on the energy dissipation problem during the cavity expansion process, dividing the soil mass around the cavity into an elastic region and a plastic region. Assuming compliance with the small deformation theory in the elastic region and the large deformation theory in the plastic region, combined with the general strength criterion of soil mass and energy theory, the energy dissipation solution for cavity expansion problem is derived. Firstly, from an energy perspective, the process of cavity expansion in soil mass is described as an energy conversion process. The energy dissipation mechanism is introduced into the traditional analysis of cavity expansion, and a general analytical solution for cavity expansion related to energy is derived. Subsequently, based on this general analytical solution of cavity expansion, the influence of different strength criterion, large-strain, expansion radius, cavity shape and characteristics of soil mass on the stress distribution, displacement field and energy evolution around the cavity is studied. Finally, the effectiveness and reliability of theoretical solution is verified by comparing the results of typical pressure-expansion curves with existing literature algorithms. The results indicate that different strength criterion have a relatively small impact on the displacement and strain field around the cavity, but a significant impact on the stress distribution and energy evolution around the cavity.

Keywords

Acknowledgement

The authors thank Project 2022QN1019 supported by the Fundamental Research Funds for the Central Universities, and Doctor of entrepreneurship and innovation in Jiangsu Province (JSSCBS20221497), the Science and Technology Planning Project of Jiangsu Province (BK20231079), and the Foundation of State Key Laboratory of Mountain Bridge and Tunnel Engineering (Grant No. SKLBT-2213), the National Natural Science Foundation of China (Grant No. 52178374, 52209150, 52178373).

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