Upper bound limit analysis of circular tunnel in cohesive-frictional soils using isogeometric analysis based on Bézier extraction

Vo-Minh, T.; Nguyen-Son, L.; Nguyen-Van, G.; Thai-Phuong, T.

doi:10.1016/j.tust.2021.103995

Cited by 10 publications

(2 citation statements)

References 42 publications

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“…Shu et al [16] analyzed the stability of 3D slopes characterized by spatially variable undrained shear strength based on the plastic limit analysis upper-bound theorem. Vo-Minh et al [17] presented an isogeometric analysis (IGA) based on Bezier extraction to investigate the stability of a circular tunnel in cohesive-frictional soils subjected to uniform surcharge loading. Rasmussen et al [18] developed the classic lattice spring model combined with the synthetic rock mass technique and Barton-Bandis joint constitutive model to analyze the probabilistic stability of rock tunnels in low in situ stress environments.…”

Section: Introductionmentioning

confidence: 99%

Long-Term Effect Analysis of a High Slope with Tunnel Structure Based on Three-Dimensional Mesh Reconstruction

Shi

Yuan

Che

et al. 2023

Advances in Civil Engineering

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The instability of high rock slopes with tunnel structures increases under the effects of earthquakes and rainfall. Limited studies have been conducted on the long-term effect analysis of high rock slopes with tunnels. Field electrical measurements on rock slopes have been conducted to study the response of high rock slopes with large cross-section tunnels during rainfall and seismic loading. The material threshold was determined using the resistivity probability density statistical method, and a three-dimensional geological visualization model was obtained. A three-dimensional mesh reconstruction method consisting of material segmentation, cluster filtering, mesh generation, and material attribute mapping modules was proposed. The three-dimensional model of high-cutting rock slope was reconstructed, and the three-dimensional finite element model of the rock slope with tunnel was obtained. The response analysis of the slope was performed during rainfall and seismic loading by employing the El-Centro wave. The results demonstrated that plastic strain was generated in the fracture zone of the upper part of the tunnel during rainfall, and the strain value was 8.135 × 10−4. In the subsequent stages, it had a tendency to expand into the tunnel under continuous rainfall. The maximum principal strain was 3.324 × 10−2 under the effect of a strong earthquake. A large strain was generated in the fracture zone at the upper part of the tunnel. It had a tendency to expand under long-term load, which significantly affected the safety of the tunnel.

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Section: Introductionmentioning

confidence: 99%

Long-Term Effect Analysis of a High Slope with Tunnel Structure Based on Three-Dimensional Mesh Reconstruction

Shi

Yuan

Che

et al. 2023

Advances in Civil Engineering

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show abstract

“…Recently, Borden et al [31] and Scott et al [32] proposed that the basis functions for Bsplines, NURBS, and T-splines in IGA consisted of the linear Bernstein polynomials using a Bézier extraction operator; this transformation enables the element structure of IGA to be the same as the element structure of FEM, and the IGA procedure is implemented by FEM program. Therefore, the Bézier extraction operator arouses particular interest in geo-mechanical simulation [33][34][35].…”

Section: Introductionmentioning

confidence: 99%

Hydro-Mechanical Coupling of Cement-Based Slurry Grouting in Saturated Geomaterials

2023

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A mathematical model is proposed to simulate the fully hydro-mechanical coupling of two-phase cement-based slurry migration in saturated deformable geomaterials from microscopic to macroscopic scale. The mass conservation equations and the momentum balance equations for cement-based slurry and geomaterials are derived based on the thermodynamically constrained averaging theory (TCAT). The Galerkin discretization of the governing equations of hydro-mechanical coupling are developed by the isogeometric analysis (IGA) integrated with the Bézier extraction operator, and the numerical calculation is implemented with the generalized backward Euler method. The presented modeling is verified by comparison of the numerical calculation with the experimental tests, and the pore fluid pressure of the stratum and the slurry concentration of cement-based slurry migration in saturated deformable geomaterials are discussed. The modeling presented provides an effective alternative method to simulate cement-based slurry migration and explore isothermal multiphase coupled problems.

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Experimental Investigation of Face Stability of a Slurry Shield Tunnel Based on a Newly Developed Model Test System

et al. 2023

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Upper bound limit analysis of circular tunnel in cohesive-frictional soils using isogeometric analysis based on Bézier extraction

Cited by 10 publications

References 42 publications

Long-Term Effect Analysis of a High Slope with Tunnel Structure Based on Three-Dimensional Mesh Reconstruction

Long-Term Effect Analysis of a High Slope with Tunnel Structure Based on Three-Dimensional Mesh Reconstruction

Hydro-Mechanical Coupling of Cement-Based Slurry Grouting in Saturated Geomaterials

Experimental Investigation of Face Stability of a Slurry Shield Tunnel Based on a Newly Developed Model Test System

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