Semi-Analytical Solution for Stresses and Displacements in a Tunnel Excavated in Transversely Isotropic Formation with non-Linear Behavior

Autor: The Manh Vu, Jean Sulem, Didier Subrin, Nathalie Monin
Přispěvatelé: Géotechnique (cermes), Laboratoire Navier (navier umr 8205), Institut Français des Sciences et Technologies des Transports, de l'Aménagement et des Réseaux (IFSTTAR)-École des Ponts ParisTech (ENPC)-Centre National de la Recherche Scientifique (CNRS)-Institut Français des Sciences et Technologies des Transports, de l'Aménagement et des Réseaux (IFSTTAR)-École des Ponts ParisTech (ENPC)-Centre National de la Recherche Scientifique (CNRS), Institut Français des Sciences et Technologies des Transports, de l'Aménagement et des Réseaux (IFSTTAR)-École des Ponts ParisTech (ENPC)-Centre National de la Recherche Scientifique (CNRS)
Jazyk: angličtina
Rok vydání: 2013
Předmět:
Materials science
Discretization
Deep tunnel
Transversely anisotropic rock
0211 other engineering and technologies
Near and far field
02 engineering and technology
010502 geochemistry & geophysics
[PHYS.MECA.SOLID]Physics [physics]/Mechanics [physics]/Mechanics of the solides [physics.class-ph]
01 natural sciences
Squeezing ground
Transverse isotropy
Cohesion (geology)
Non linear behavior
[SPI.MECA.SOLID]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of the solides [physics.class-ph]
021101 geological & geomatics engineering
0105 earth and related environmental sciences
Civil and Structural Engineering
business.industry
Complex variable theory
Geology
Structural engineering
Mechanics
Geotechnical Engineering and Engineering Geology
Transfer matrix
Non-linear behavior
business
Radial stress
Zdroj: Rock Mechanics and Rock Engineering
Rock Mechanics and Rock Engineering, Springer Verlag, 2013, 46 (2), pp.213-229. ⟨10.1007/s00603-012-0296-0⟩
ISSN: 0723-2632
1434-453X
DOI: 10.1007/s00603-012-0296-0⟩
Popis: International audience; A semi-analytical solution based on the transfer matrix technique is proposed to analyze the stresses and displacements in a two-dimensional circular opening excavated in transversely isotropic formation with nonlinear behavior. A non-isotropic far field can be accounted for and the process of excavation is simulated by progressive reduction of the internal radial stress. A hyperbolic stress-strain law is proposed to take into account the nonlinear behavior of the rock. The model contains seven independent parameters corresponding to the five elastic constants of an elastic material with transverse isotropy and to the friction coefficient and cohesion along the parallel joints (weakness planes). This approach is based on the discretization of the space into concentric rings. It requires the establishment of elementary solutions corresponding to the stress and displacement fields inside each ring for given conditions at its boundaries. These solutions, based on complex variable theory, are obtained in the form of infinite series. The appropriate number of terms to be kept for acceptable approximation is discussed. This non-linear model is applied to back analyze the convergence measurements of Saint-Martin-la-Porte access gallery. Shortterm and long-term ground parameters are evaluated.
Databáze: OpenAIRE
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