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Parametric study of the convergence of deep tunnels with long term effects: Abacuses
Quevedo, Felipe P.M.,Bernaud, Denise Techno-Press 2018 Geomechanics & engineering Vol.15 No.4
The objective of this paper is to present abacuses obtained from a parametric study of deep-lined tunnels using a numerical finite element model. This numerical model was implemented in software GEOMEC91, which is a two-dimensional axisymmetric model that considers the progress of excavation and the placing of the lining through the activation and deactivation of elements. It is adopted a step of excavation constant (1/3 of radius), constant velocity and circular cross section along the tunnel axis. It is used for rock mass a viscoplastic constitutive law with von-Mises criterion of viscoplasticity without hardening whose deformation rate over time is given by the Bingham model. The lining uses a linear elastic constitutive law. In total are 1716 analysis presented in 60 abacuses that show the value of ultimate convergence ($U_{eq}$) due to tunneling speed. In addition, it is shown an example of the use of the abacuses to determine the ultimate convergence ($U_{eq}$) of the tunnel and pressure ($P_{eq}$) on the lining.
Elastoplastic Analysis of Inclusion Reinforced Structures
Sudret, Bruno,Samir, Maghous Patrick de Buhan,Bernaud, Denise 대한금속재료학회(대한금속학회) 1998 METALS AND MATERIALS International Vol.4 No.3
An analytical model for assessing the global elastoplastic behaviour of inclusion-reinforced materials is presented in this contribution. It is based upon a description of the reinforced material as a two-phase composite system, namely a matrix material and the reinforcements which are assumed to behave as tensile-compressive load carrying elements. An anisotropic elastoplastic constitutive law exhibiting work-hardening is then derived in an explicit form. It involves a number of hardening parameters equal to the number of reinforcing directions. Such a model, which is readily implementable in a finite element computer code, is applied to the numerical simulation of the settlement of a shallow strip footing resting upon a soil reinforced in two symmetric directions ($quot;micropiling technique$quot;). The load-settlement curve predicted from using the work-hardening model is finally compared with that deduced from a previously-adopted elastic perfectly plastic schematization of the reinforced soil.