 
          1217
        
        
          Technical Committee 202 /
        
        
          
            Comité technique 202
          
        
        
          Figure 11. In-situ response of the ballast layer: lateral deformations
        
        
          (Source: Fig 4, Indraratna et al. 2013).
        
        
          Zornberg et al. (2013) introduced a mathematical model to
        
        
          investigate the soil-geosynthetic interaction behavior under
        
        
          small displacements. A new parameter, defined as ‘Stiffness of
        
        
          Soil-Geosynthetic Interaction’ (K
        
        
          SGI
        
        
          ) is proposed to evaluate
        
        
          soil-geosynthetic interaction. This parameter is capable of
        
        
          quantifying the performance of geosynthetic reinforcement
        
        
          under small displacement conditions.  K
        
        
          SGI
        
        
          was proposed on the
        
        
          assumption of a linear relationship between unit tension and
        
        
          strain in geosynthetic reinforcement and uniform soil-
        
        
          geosynthetic interface shear over the active length of the
        
        
          geosynthetic. Zornberg et al. (2013) conducted several
        
        
          geosynthetic pullout tests of biaxial geosynthetic with
        
        
          dimensions of 300
        
        
          
        
        
          600 mm in clean poorly graded sand to
        
        
          validate the proposed model. Figure 12 shows a good agreement
        
        
          between the experimental data and the results obtained with the
        
        
          proposed model.
        
        
          Figure 12. Results for the pullout test for LVDTs 2, 3, and 4 in (T
        
        
          2
        
        
          -u)
        
        
          space (Source: Fig 7, Zornberg et al. 2013).
        
        
          6 NUMERICAL MODELLING
        
        
          1.1
        
        
          
            Finite element modelling (FEM)
          
        
        
          There are 5 articles described in this section. The majority of the
        
        
          papers discusses Finite Element Modelling (FEM) on the
        
        
          stability analysis of soft clay subgrade and embankments
        
        
          (Carvajal and Romana 2013, Mansikkamaki and Lansivaara
        
        
          2013, Islam et al. 2013 and Chirica et al. 2013), while one paper
        
        
          examines the application of a stochastic subsoil model on the
        
        
          deformation of bridge piers considering the soil heterogeneity
        
        
          (Jacobse et al. 2013).
        
        
          Carvajal and Romana (2013) developed a FEM model of a
        
        
          multilayered system to investigate the influence of soft soil
        
        
          depth on pavement response during static and cyclic loading
        
        
          (Figure 13). They concluded that deep ground treatments should
        
        
          be applied to achieve an allowable capacity of soft soils up to a
        
        
          depth of 6 m to reduce the maintenance costs.
        
        
          0
        
        
          1x10
        
        
          5
        
        
          2x10
        
        
          5
        
        
          3x10
        
        
          5
        
        
          4x10
        
        
          5
        
        
          5x10
        
        
          5
        
        
          6x10
        
        
          5
        
        
          7x10
        
        
          5
        
        
          -14
        
        
          -12
        
        
          -10
        
        
          -8
        
        
          -6
        
        
          -4
        
        
          -2
        
        
          -0
        
        
          Average lateral deformation of ballast, (S
        
        
          h
        
        
          )
        
        
          avg
        
        
          (mm)
        
        
          Fresh ballast (uniformly graded)
        
        
          Recycled ballast (broadly graded)
        
        
          Fresh ballast with geocomposite
        
        
          Recycled ballast with geocomposite
        
        
          Number of load cycles, N
        
        
          Figure 13. Geometry of the finite element model (Source: Fig.1c,
        
        
          Carvajal and Romana 2013).
        
        
          Islam et al. (2013) investigated the long-term performance of
        
        
          the instrumented preloaded Nerang-Broadbeach Roadway
        
        
          (NBR) embankment founded on a soft sensitive estuarine clay.
        
        
          Fully coupled nonlinear Finite Element Analyses (FEA) were
        
        
          carried out adopting an elasto-viscoplastic (EVP) and an elasto-
        
        
          plastic Modified Cam Clay (MCC) constitutive model. It was
        
        
          concluded that the MCC model under-predicted the ultimate
        
        
          settlement whereas the creep-based EVP model captured
        
        
          settlement quite well, albeit over-predicting the pore pressure
        
        
          response (Figure 14).
        
        
          0
        
        
          50
        
        
          100
        
        
          150
        
        
          200
        
        
          250
        
        
          Days
        
        
          0
        
        
          20
        
        
          40
        
        
          60
        
        
          80
        
        
          Excess PoreWater Pressure (kPa)
        
        
          PP1
        
        
          MCC
        
        
          EVP
        
        
          Figure 14. Comparison of measured and predicted settlements and pore
        
        
          water pressures (Source: Figs. 4 and 5, Islam et al. 2013).
        
        
          Mansikkamaki and Lansivaara (2013) introduced a 2D and
        
        
          3D FEM analysis to evaluate the embankment stability of slopes
        
        
          reinforced with a wooden pile structure and a sheet pile wall.
        
        
          Wooden piles and sheet pile walls can be used to improve
        
        
          embankment stability if the supporting forces are reasonable.
        
        
          FEM can provide valuable additional information to evaluate
        
        
          how sensitive the structural forces can be for the soil strength
        
        
          variation and also to determine what would be the real nature of
        
        
          the failure. Figure 15 shows the failure surfaces observed with
        
        
          and without reinforcement.
        
        
          (a)
        
        
          (b)
        
        
          Figure 15. Failure surfaces from the safety analysis. (a)  without the
        
        
          reinforcement (b) with the sheet pile wall (Source: Fig 8, Mansikkamaki
        
        
          and Lansivaara 2013).