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A mechanical model for the circular tunnel considering the interaction between the surrounding rock and support structure based on the unified strength criterion

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Abstract

It is very significant to study the stress and displacement fields in the surrounding rock induced by the tunnel excavation and its support. First of all, in order to take into account the effect of the intermediate principal stress on the tunnel surrounding rock mechanical behavior, the unified strength criterion (USC) is adopted to describe the plastic yield behavior of the surrounding rock. Secondly, the model proposed by Kastner does not consider the effect of the initial elastic displacement of the tunnel surrounding rock before the support structure is constructed and the interaction between the surrounding rock and the support structure. Therefore, a new mechanical model for the circular tunnel, which can overcome these shortcomings, is finally proposed by considering the tunnel practical construction process on basis of Kastner’s method. The effects of the calculation parameters such as the intermediate principal stress coefficient b, the initial elastic displacement u0 at the tunnel wall, the rock internal friction angle and the stiffness ks of the support structure on the surrounding rock plastic zone, and radial displacement of the tunnel wall are studied in detail. The results of the calculation examples show that the tunnel surrounding rock relative plastic zone rp/r0 and ground radial displacement us of the tunnel wall decrease with increasing b. With increasing u0, rp/r0 and us both increase, while with increasing ks and the rock internal friction angle, rp/r0 and us both decrease. In sum, it indicates that the proposed model for the circular tunnel can perfectly reflect the tunnel mechanical behavior.

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Funding

This study is supported by “the National Key Research and Development Plan of China (Grant No:2019YFC1509701)”.

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Authors and Affiliations

  1. School of Engineering and Technology, China University of Geosciences (Beijing), Beijing, 100083, China

    Hongyan Liu

  2. Key Laboratory of Deep Geodrilling Technology of Ministry of Natural Resources, Beijing, 100083, China

    Hongyan Liu

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  1. Hongyan Liu
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Correspondence to Hongyan Liu.

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Responsible Editor: Zeynal Abiddin Erguler

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Liu, H. A mechanical model for the circular tunnel considering the interaction between the surrounding rock and support structure based on the unified strength criterion. Arab J Geosci 14, 753 (2021). https://doi.org/10.1007/s12517-021-07110-6

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  • DOI: https://doi.org/10.1007/s12517-021-07110-6

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