Abstract
A direct algorithmic process can deal with the solution of the support–ground interaction in a circular tunnel excavation through the convergence-confinement method (CCM) with the concept of increment. This process is the so-called direct calculation method (DCM) that can find solutions, the mobilized support pressure and the convergence, in the analysis of CCM. To achieve the solution, using two linear equations in the elastic region and Newton’s recursive method to find the roots in the plastic region are proposed and realized by a calculated spreadsheet. The validity of the algorithmic process for the analytical solutions was investigated and verified by the finite element computation, and compared with the published results, Rocksupport (2004), Oreste (2009), and Gschwandtner-Galler (2012). The results obtained between DCM and related studies show no significant differences.
Highlights
The convergence-confinement method (CCM) adopts the assumption of the plane strain and is used to simulate the interaction between support and ground of a circular tunnel, and can analyze the displacements/stresses generated around the tunnel
(1) The study the the theoretical theoretical explanation explanation and numerical analysis of the support–ground interaction caused a circular tunnel and numerical analysis of the support–ground interaction causedbyby a circular tunexcavation in the isotropic stress field
The roots are obtained by apport-ground interaction solution at the equilibrium state
Summary
The convergence-confinement method (CCM) adopts the assumption of the plane strain and is used to simulate the interaction between support and ground of a circular tunnel, and can analyze the displacements/stresses generated around the tunnel. This method is an effective calculation method for designing underground excavation support and consists of a combination of three different curves [1,2,3]. The curve ABCEG represents the GRC, as the tunnel continues to excavate, the surrounding rock stress decreases, and the radial displacement increases gradually This curve determines when the support is installed and the stiffness of the support plays an important role [14,15,16,17]. Numerous studies have been investigating this approach, using empirical and mathematical expressions to develop
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