Analytical method for elastic-brittle-plastic analysis of a circular tunnel in a non-hydrostatic in-situ stress field considering the unified strength criterion

Ma, Yaocai; Zhu, Hehua; Cai, Wuqiang; Su, Chenlong; Wei, Xiangyang

doi:10.1016/j.apm.2023.05.029

Cited by 6 publications

(2 citation statements)

References 28 publications

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“…With the rapid development of urban rail transit networks, increasing demands of smoothness and safety of the in-service tunnels when subjected to limitation of available underground space, will conduct unforeseen adverse impacts on or even seriously damage to the adjacent in-service tunnels (Fang et al, 2022;Gan et al, 2022;Wei and Jiang, 2021;Zhang et al, 2022). To ensure the serviceability of underlying shield tunnels, it is necessary to study responses of tunnel construction on the adjacent existing shield tunnels in the complex environment (Fang et al, 2023;Ma et al, 2023;Wei, 2023;Zhang et al, 2023a;Zhang et al, 2023b;Zhou et al, 2020).…”

Section: Introductionmentioning

confidence: 99%

Analytical solution for heave of underlying shield tunnel caused by adjacent tunnelling considering shear deformation

Wei

2024

Preprint

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Excavating a shield tunnel may cause a series of unforeseen adverse impacts on the adjacent underlying in-service tunnels. Therefore, it is significant to reasonably evaluate the influence of the newly excavated tunnel on the existing underlying shield tunnel to ensure safety and applicability of the existing tunnels. In this study, a simplified analytical solution is proposed to rapidly evaluate the responses of an existing underlying tunnel caused by newly tunnel construction. An elastic Timoshenko beam model, considering the shearing deformation of the existing shield tunnel as well as the interaction between adjacent segments, is presented for evaluating the responses of underlying shield tunnel associated with the tunnelling-induced free ground settlement. An equilibrium differential equation, combined with the finite difference analysis, is derived for the responses of the underlying in-service tunnel. The adaptability and reliability of proposed analytical solution is verified in comparison with published measurements. The predicted values were compared with the calculation results of different foundation coefficients. Parametric analyses are showed to evaluate the effects of various factors on the responses of underlying in-service tunnel, including the skew angle, equivalent shear stiffness and bending stiffness of underlying existing tunnel.

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Section: Introductionmentioning

confidence: 99%

Analytical solution for heave of underlying shield tunnel caused by adjacent tunnelling considering shear deformation

Wei

2024

Preprint

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“…For example, a number of cavity contraction solutions were available for soils and rocks with various constitutive models, such as the Mohr-Coulomb model (Yu and Rowe 1999;Carranza-Torres 2003;Vrakas and Anagnostou 2014), Hoek-Brown failure criteria (Brown et al 1983;Zareifard 2020;Guan et al 2022;Cai et al 2023), strain hardening/softening Drucker-Prager model (Chen et al 2012;Chen and Abousleiman 2017), and critical state (Cam Clay) models (Yu and Rowe 1999; Chen and Abousleiman 2016; Mo and Yu 2017;Zhuang et al 2020). Also, some cavity contraction solutions were developed to investigate the influence of soil anisotropy (Chen H et al 2022), ground surface (Zhuang et al 2022), non-hydrostatic in-situ stress field (Ma et al 2023), seepage pressure (Sun et al 2023;Zhao et al 2023), and plane stress conditions (Yang et al 2022) on the characteristics of GRCs.…”

Section: Introductionmentioning

confidence: 99%

Elastoplastic solution for cylindrical cavity contraction in unsaturated soils

Zhang,

Sun,

Zhuang

et al. 2024

Géotechnique Letters

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This letter develops an elastoplastic solution for cylindrical cavity contraction in unsaturated soils under constant suction conditions. The elastoplastic cavity contraction problem is formulated into a set of first-order ordinary differential equations (ODEs) by introducing a new auxiliary variable, which is solved as an initial value problem. The new solution is validated by comparison with numerical simulation results. Finally, parametric studies show that, as soil suction increases, the internal support pressure decreases faster with cavity contraction, the unloading-induced plastic zone becomes narrower, and the changes in effective stresses are smaller for a given tunnel convergence.

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A Novel Double-Layer Plastic Zone Elastoplastic Model and Analytical Solutions Considering the Freezing Temperature Gradient of Surrounding Rock in Cold Region Tunnels

Cao,

Xia,

Zhou

et al. 2024

Applied Mathematical Modelling

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Analytical method for elastic-brittle-plastic analysis of a circular tunnel in a non-hydrostatic in-situ stress field considering the unified strength criterion

Cited by 6 publications

References 28 publications

Analytical solution for heave of underlying shield tunnel caused by adjacent tunnelling considering shear deformation

Analytical solution for heave of underlying shield tunnel caused by adjacent tunnelling considering shear deformation

Elastoplastic solution for cylindrical cavity contraction in unsaturated soils

A Novel Double-Layer Plastic Zone Elastoplastic Model and Analytical Solutions Considering the Freezing Temperature Gradient of Surrounding Rock in Cold Region Tunnels

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