A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
A variationally consistent hyperstatic reaction method for tunnel lining design
In this technical note, a consistent finite element formulation of the Hyperstatic Reaction Method (HRM) for tunnel linings design is proposed by introducing a variational consistently linearized formulation. It permits to consider a nonlinear interaction between a lining structure and the surrounding ground. Recent advances of the HRM in regard to the consideration of the nonlinear response of the segmented tunnel lining exposed to design loads use an iterative algorithm for solving the nonlinear system of equations. In the proposed Variationally consistent Hyperstatic Reaction Method (VHRM), a distributed nonlinear spring model representing the interaction between the lining and the ground soils is considered in a variationally consistent format. Computing the tangential spring stiffness via consistent linearization, and using Newton-Raphson iteration, requires significantly smaller number of iterations as compared to the original HRM model based on nodal springs. Furthermore, the method is applicable for simulations using solid finite elements (2D and 3D), as well as beam or finite shell elements, respectively.
A variationally consistent hyperstatic reaction method for tunnel lining design
In this technical note, a consistent finite element formulation of the Hyperstatic Reaction Method (HRM) for tunnel linings design is proposed by introducing a variational consistently linearized formulation. It permits to consider a nonlinear interaction between a lining structure and the surrounding ground. Recent advances of the HRM in regard to the consideration of the nonlinear response of the segmented tunnel lining exposed to design loads use an iterative algorithm for solving the nonlinear system of equations. In the proposed Variationally consistent Hyperstatic Reaction Method (VHRM), a distributed nonlinear spring model representing the interaction between the lining and the ground soils is considered in a variationally consistent format. Computing the tangential spring stiffness via consistent linearization, and using Newton-Raphson iteration, requires significantly smaller number of iterations as compared to the original HRM model based on nodal springs. Furthermore, the method is applicable for simulations using solid finite elements (2D and 3D), as well as beam or finite shell elements, respectively.
A variationally consistent hyperstatic reaction method for tunnel lining design
Bùi, Hoàng-Giang (Dr.-Ing.) (author) / Ninić, Jelena (Prof. Dr.-Ing.) (author) / Do, Ngoc-Anh (Prof. Dr.) (author) / Dias, Daniel (Prof. Dr.) (author) / Meschke, Günther (Prof. Dr. techn.) (author)
2021-10-26
Article (Journal)
Electronic Resource
English
Reliability of tunnel lining design using the Hyperstatic Reaction Method
| British Library Online Contents | 2018
Reliability of tunnel lining design using the Hyperstatic Reaction Method
| British Library Online Contents | 2018
The behaviour of the segmental tunnel lining studied by the hyperstatic reaction method
| Taylor & Francis Verlag | 2014