Abstract
In this paper, a numerical procedure using the node-based smoothed finite element method (NS-FEM) is proposed to evaluate the stability of a plane strain circular tunnel in cohesive-frictional soils subjected to continuous loading on the ground surface. In the NS-FEM, the strain smoothing is calculated over smoothing domains associated with the nodes of the elements. The soil is described as a uniform Mohr–Coulomb material and it obeys an associated flow rule. The limit load and failure mechanisms of circular tunnel are calculated from solving the optimization problems. In this study, the influence of the soil weight (γD/c′), the ratio of tunnel diameter to its depth (H/D) on the stability numbers (σ s /c′) and collapse mechanisms are investigated. The results obtained from the present analysis are compared with the available literature for tunnels located below the horizontal ground surface.
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Vo-Minh, T., Nguyen-Minh, T., Chau-Ngoc, A. (2018). Upper Bound Limit Analysis of Circular Tunnel in Cohesive-Frictional Soils Using the Node-Based Smoothed Finite Element Method. In: Nguyen-Xuan, H., Phung-Van, P., Rabczuk, T. (eds) Proceedings of the International Conference on Advances in Computational Mechanics 2017. ACOME 2017. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-10-7149-2_9
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