Elastoplastic unified solution for displacements around a deep circular tunnel and its comparative analysis

ZENG Kai-hua1; JU Hai-yan1; ZHANG Chang-guang2

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Elastoplastic unified solution for displacements around a deep circular tunnel and its comparative analysis

更新时间：2026-06-25

- Elastoplastic unified solution for displacements around a deep circular tunnel and its comparative analysis
- Vol. 32, Issue 5, (2011)
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  CLC： TU452
- Online First：23 September 2011，
  
  Published：2011
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ZENG Kai-hua1, JU Hai-yan1, ZHANG Chang-guang2. Elastoplastic unified solution for displacements around a deep circular tunnel and its comparative analysis[J]. 2011, 32(5).
DOI：

ZENG Kai-hua1, JU Hai-yan1, ZHANG Chang-guang2. Elastoplastic unified solution for displacements around a deep circular tunnel and its comparative analysis[J]. 2011, 32(5). DOI：

摘要

基于统一强度理论和非关联线性流动法则，考虑塑性区的真实弹性应变，推导了深埋圆形隧道弹塑性位移统一解。位移统一解合理地考虑了中间主应力效应和围岩剪胀特性的影响，具有广泛的理论意义。经与文献简化位移解析解比较分析知，围岩塑性区的弹性应变对隧道位移影响显著，简化解析解所得结果偏小，简化解析解和文中统一解之间的差异与中间主应力效应和围岩剪胀特性密切相关；考虑中间主应力的影响，能更加充分发挥围岩的强度潜能；隧道支护设计应考虑围岩剪胀特性的重要影响

Abstract

Based on the unified strength theory and a non-associated linear flow rule

an elastoplastic unified solution for displacements around a deep circular tunnel is presented

which takes the true elastic strains in the plastic zone into account. The effects of intermediate principal stress and dilatancy are considered in the unified displacement solution; so the unified solution obtained has very broadly theoretical value. Compared with the simplified analytical solutions for displacement in the literature show that the influence of the elastic strains in the plastic zone on tunnel displacements is significant. The results of the simplified analytical solutions are less than those of the unified solution. The differences between the simplified analytical solutions and the unified solution are strongly related to the effects of intermediate principal stress and dilatancy. The strength potentials of rock mass are achieved due to considering the intermediate principal stress effect. The effect of dilatancy is important for the tunnel support design.

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