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Application of the Finite Cell Method to Tunnel Engineering Simulation
Author(s) -
Bui HoangGiang,
Meschke Günther,
Schillinger Dominik
Publication year - 2018
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201800011
Subject(s) - finite element method , quadrature (astronomy) , constitutive equation , domain (mathematical analysis) , finite volume method , boundary (topology) , computer simulation , structural engineering , computer science , geometry , engineering , mathematics , mathematical analysis , mechanics , simulation , physics , electrical engineering
The Finite Cell Method (FCM) is an embedded domain method, in which the simulation domain is divided into a physical domain and a fictitious domain. The adaptive quadrature scheme employs the quad‐tree (oct‐tree in 3D) data structure to generate the quadrature points up to the specified level around the material boundary. In this paper, the FCM is applied for machine driven tunnel advancement simulations [1]. The geometry of the excavation volume is embedded into a background mesh by employing the B‐Rep concept. The mesh for the soil volume is structured and is fixed during the tunnel advancement. The tunnel lining is embedded in the soil mesh as a surface mesh, which incorporates the shell element formulation. In terms of the material description, the soil is represented as a saturated two‐phase medium [2], which consists of the soil matrix and the pore water. The effective stress of the soil is governed by means of the elastoplastic Mohr‐Coulomb constitutive model. Selected numerical benchmarks are performed to demonstrate the performance of the proposed method.