Hyperstatic Reaction Method for the Design of U-Shaped Tunnel Supports

Du, Dianchun; Dias, Daniel; Anh, Ngoc; Oreste, Pierpaolo

doi:10.1061/(asce)gm.1943-5622.0001127

Cited by 14 publications

(4 citation statements)

References 16 publications

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“…The HRM method permits calculating the displacements and internal forces of lining in a fast and accurate way [13][14][15][16][17][18][19][20]. The tunnel lining in this bi-dimensional method is subdivided into a finite number of linear beam elements (Figure 1) which are connected by nodes.…”

Section: Hrm Methodsmentioning

confidence: 99%

A Simplified Way to Evaluate the Effect of Temperature on a Circular Tunnel

Dias

Anh

2021

Geotechnics

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Temperature differences between the surrounding ground and the tunnel lining will cause a variation of the tunnel lining forces. The hyperstatic reaction method (HRM) could be efficiently and simply used to investigate the impact of thermal load on tunnel linings. First, the steady state numerical solution is derived for a shallow circular tunnel to estimate the internal forces and displacements of tunnel lining caused by thermal load. The effective strain coefficient βTl is deduced to calculate the thermal stresses in tunnel lining. Secondly, the influence of the temperature difference on the internal forces of tunnel lining is investigated using the HRM method considering different lining elastic modulus, lining thickness and ground coefficient of thermal expansion. Lastly, the impact of fires which will be able to modify the elastic modulus of tunnel lining is investigated, which makes it possible to predict the damage of tunnel lining caused by fires.

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Section: Hrm Methodsmentioning

confidence: 99%

A Simplified Way to Evaluate the Effect of Temperature on a Circular Tunnel

Dias

Anh

2021

Geotechnics

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“…The main advantage of the square and rectangular tunnels compared to the circular ones is that they have a greater space utilization ratio. Design methods of these tunnels were developed and could be categorized in analytical methods [1,6,7] and numerical methods [7][8][9][10][11][12][13][14][15][16][17]. Analytical methods are very effective because they can give results quickly.…”

Section: Introductionmentioning

confidence: 99%

“…The Hyperstatic Reaction Method (HRM) is a numerical method that was developed based on the finite element method and originally used to design circular tunnels [4,18], horseshoe-shaped tunnels [12,19], and sub-rectangular tunnels [17]. In the HRM method, the interaction of the soil and tunnel lining is simulated through tangential and normal springs assigned at the nodes of the tunnel lining.…”

Section: Introductionmentioning

confidence: 99%

Behaviour of Square and Rectangular Tunnels Using an Improved Finite Element Method

et al. 2022

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Due to its advantages (fast and accurate calculations), the Hyperstatic Reaction Method (HRM) was used to calculate the internal forces of circular tunnel linings in former works. This paper presents an improved HRM method that is developed to estimate the internal forces induced in square and rectangular tunnel linings. Based on the comparison of the internal forces induced in these linings obtained from the HRM method and the finite element method (FEM), the improved HRM method was validated. An extensive parametric analysis of the tunnel lining and ground parameters was then carried out using both the HRM and FEM. The results indicated a great influence of the lateral earth pressure coefficient K0, and the tunnel lining flexibility ratio F on the internal forces induced. Accordingly, the bending moments M, normal forces N, and shear forces T, induced in the tunnel lining decrease when the flexibility ratio of tunnel lining F increases. The maximum bending moment is observed at the tunnel sides that are perpendicular with the larger principal stress direction.

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“…In terms of numerical simulation of tunnel stability, Do et al 10 established a 3D numerical model to evaluate the effects of mutual disturbance on the support stability during double-hole tunnel construction. Du et al 11 applied numerical methods to study the effects of different parameters, including geometry and horizontal and vertical loads of U-shaped supports, on the supporting force. Gao et al 12 presented new correlations for estimating the surrounding rock pressure of symmetrically shaped tunnels by using numerical calculation method.…”

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confidence: 99%

Investigation of the support constraint effect and failure instability law of tunnels constructed using the New Austrian tunneling method

Chen

Wang

Sun

et al. 2022

Sci Rep

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The application of a reasonable numerical calculation method is the key to accurately analyzing tunnel rock-support interactions. In this paper, we address the support constraint effect of tunnels and analyze the influence of related factors based on the confinement convergence method. Rupturable support models are developed using FLAC3D to intuitively show the numerical calculation results of tunnels. The results imply that the virtual supporting force generated by the support constraint effect should be considered in two-dimensional rock tunnel model calculations, and that the supporting force of the support should be increased by 2–3% of the maximum supporting force. Boundary effects should be considered in the three-dimensional tunnel model calculations, in which the influence range of the model boundary effect is nearly 1.5 times the tunnel span. A comparison of the field monitoring data and numerical calculations of the Baoshan tunnel project shows that the numerical results that consider the support constraint effect are in better agreement with the actual project situation. The rupturable support models can also reflect the stress and failure evolution law of supports, and provide support for the accurate evaluation of tunnel engineering stability.

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Hyperstatic Reaction Method for the Design of U-Shaped Tunnel Supports

Cited by 14 publications

References 16 publications

A Simplified Way to Evaluate the Effect of Temperature on a Circular Tunnel

A Simplified Way to Evaluate the Effect of Temperature on a Circular Tunnel

Behaviour of Square and Rectangular Tunnels Using an Improved Finite Element Method

Investigation of the support constraint effect and failure instability law of tunnels constructed using the New Austrian tunneling method

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