Page 201 - Numerical Analysis and Modelling in Geomechanics
P. 201

182 ANNAMARIA CIVIDINI AND GIANCARLO GIODA






























            Figure 6.5 Finite element mesh for the plane strain back analyses.
            observed,  however,  that  the  numerical  model  “tuned”  by  the  elastic  back
            analyses  could  not  be  adopted  for  the  analysis  of  a  different  construction
            procedure. In fact, the shape and size of the “weak” zone were a priori chosen in
            the calculations, and it is quite likely that a change of the method of excavation
            would involve, in turn, a change of this zone.


                                 Elasto-plastic calculations
            In order to circumvent the above-mentioned drawback it was decided to develop
            an elasto-plastic model able to analyse the spreading of the “plastic” zone around
            the railroad tunnel. To this purpose, a simple elasto-plastic material model was
            considered, which is based on experimental observations from compression and
            shear tests on “stiff” soil samples [23].
              Among the various features of the mechanical behaviour of these geological
            materials only the so-called strain softening was considered, even though other
            aspects, anisotropy in particular, could play a non-negligible role in defining the
            overall stress-strain response.
              Figure  6.8  shows  a  qualitative  representation  of  the  results  of  a  direct  shear
            test on a stiff soil sample under a constant, average vertical stress σ, in terms of
            the diagram between the average shear stress τ and the horizontal displacement
            δ.
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