Ground reaction curve of a circular tunnel considering the effects of the altered zone and the self-weight of the plastic zones

Zaheri, Milad; Ranjbarnia, Masoud

doi:10.1080/19648189.2021.1877829

Cited by 8 publications

(1 citation statement)

References 37 publications

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“…Only the forms of the expression are different. Daemen 11 , Brown et al 12 , Park et al 13 , Fan et al 14 , Xia et al 15 , Gao et al 16 , Pronina 17 , Zhang 18 , Zareifard et al 19 , Masoudian et al 20 , Zhang et al 21 , Kargar 22 , Kabwe et al 23 , Zaheri et al 24 , 25 and Li et al 26 and so on, deeply researched or detailedly summarized the elasto-plastic analytical solution of tunnel under axisymmetric conditions. Regarding the elastic–plastic analytical solution of a tunnel under the non-axisymmetric conditions, domestic and foreign researchers, for example, Daemen 11 , Brown et al 12 , Xu et al 27 and so on, have also conducted a lot of research.…”

Section: Introductionmentioning

confidence: 99%

An new elastic–plastic analytical solution of circular tunnel under non-axisymmetric conditions

Bai³

et al. 2022

Sci Rep

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The surrounding rock is in the initial stress state before the tunnel excavation, and it undergoes the stress redistribution to reach the secondary stress state after the tunnel excavation. The surrounding rock is not only the main load source but also is an important part of the load bearing structure. Once the stress of some zone in the surrounding rock exceeds the strength of the rock mass, the part surrounding rock will enter into a state of plasticity or failure. Analytical solution is the most powerful mean to analyze this kind of underground cavern engineering problems. However, the existing solutions can not directly or simultaneously obtain the secondary stress field and excavation disturbance displacement field that we are concerned about. The implicit approximate solution cannot be degenerated to an accurate axisymmetric expression for the most existing non-axisymmetric elastic–plastic solutions. Therefore, this paper derives the elastic solution of a circular tunnel under the condition of the non-axisymmetric external load with the radial and shear inner loads. On this basis, the new elastic–plastic solution and the plastic zone radius equation of the circular tunnel under the conditions of the non-axisymmetric external load with radial inner load are derived. It can directly obtain the secondary stress field and excavation disturbance displacement field, and can degenerate to an accurate axisymmetric expression. The distribution characteristics of the analytical solution are in good agreement with the numerical test results, indicating that the new solution can provide a relatively accurate theoretical basis for the analysis and research of tunnel engineering.

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