 
          812
        
        
          Proceedings of the 18
        
        
          th
        
        
          International Conference on Soil Mechanics and Geotechnical Engineering, Paris 2013
        
        
          Figure 4. Comparison of measured and predicted displacement of
        
        
          diaphragm wall at MQ3 profile (excavation depth = 21.4 m; wall
        
        
          thickness = 1.5 m, height = 28.78 m; anchor free length = 34.5 m, fixed
        
        
          length = 8.0 m, dip angle = 35
        
        
          o
        
        
          , prestress = 540 kN, spacing = 1.0 m);
        
        
          (1) – prestressing of geotechnical anchor; (2) – final excavation.
        
        
          Figure 5. Comparison of measured and predicted displacement of
        
        
          diaphragm wall at MQ5 profile (excavation depth = 20.1 m; wall
        
        
          thickness = 1.2 m, height = 27.20 m; anchor free length = 26.5 m, fixed
        
        
          length = 8.0 m, dip angle = 25
        
        
          o
        
        
          , prestress = 292 kN, spacing = 1.2 m);;
        
        
          (1) – prestressing of geotechnical anchor; (2) – final excavation
        
        
          The retaining structure is modeled by using plate elements for
        
        
          diaphragm wall and using anchor / geotextile elements for
        
        
          geotechnical anchors. The analysis is performed in three
        
        
          characteristic phases: (0) – excavation to the anchor installation
        
        
          level; (1) – installation and pre stressing of the anchor;
        
        
          (2) – excavation to the final depth. Detailed information about
        
        
          structure elements, geometry of the excavation pit and material
        
        
          properties can be found in Nikolinakou (2011).
        
        
          6
        
        
          REFERENCES
        
        
          Brinkgrawe R.B., Broere W. and Waterman D. 2008. PLAXIS 2D
        
        
          Version 9, Plaxis bv. Delft
        
        
          Collins I.F., Muhunthan B., Tai A.T. and Pender M.J. 2007. The
        
        
          concept of a 'Reynolds-Taylor state' and the mechanics of sands.
        
        
          
            Géotechnique
          
        
        
          57 (5), 437-447.
        
        
          Fahey M. and Carter J.P. 1993. A finite element study of the
        
        
          pressuremeter test in sand using a nonlinear elastic plastic model.
        
        
          
            Canadian Geotechnical Journal
          
        
        
          30, 348-361.
        
        
          Gutierrez M. 2003. Modeling of steady-state response of granular soils.
        
        
          
            Soils and Foundations
          
        
        
          43 (5), 93-105.
        
        
          5
        
        
          DISCUSSION AND CONCLUSION
        
        
          A numerical simulation of isotropic compression of Berlin sand
        
        
          (Figure 2.a) shows the capability of the IWAN model to predict
        
        
          the volumetric strain development following the concept of
        
        
          limit compression line. IWAN model accurately predicts
        
        
          measured sand behavior, and overall behave similarly to the
        
        
          MIT-S1 soil model.
        
        
          Iwan W. D. 1967. On a class of models for the yielding behavior of
        
        
          continuous and composite systems.
        
        
          
            Journal of Applied Mechanics,
          
        
        
          34 (3), 612-617.
        
        
          Jefferies M. and Been K. (2006). Soil liquefaction - A critical state
        
        
          approach
        
        
          
            .
          
        
        
          Oxon: Taylor & Francis.
        
        
          Li X.S. and Dafalias Y.F. 2000. Dilatancy for cohesionless soils.
        
        
          
            Géotechnique
          
        
        
          50 (4), 449-460
        
        
          Numerical simulation of drained triaxial tests (Figure 3.a)
        
        
          shows the capability of the IWAN model to predict the real sand
        
        
          behavior of dense and loose samples. Comparing the results to
        
        
          the results gained by MIT-S1 soil model, the prediction of peak
        
        
          strength, stress reduction and dilatancy is more accurate.
        
        
          Masing G. 1926. Eigenspannungen und Vervestigung beim Messing.
        
        
          
            Proceedings, Second International Congress of Applied Mechnaics
          
        
        
          (pp. 332-335). Zürich: Orell Füssliverlag.
        
        
          Muir Wood D. 1990. Soil Behavior and Critical State Soil Mechanics.
        
        
          Cambridge, UK: Cambridge University Press
        
        
          Prediction of displacements for the deep excavation using
        
        
          IWAN model (Figure 4 and 5) are similar to predictions using
        
        
          MIT-S1 model. Minor deviation of results can be observed for
        
        
          the final excavation depth on MQ5 profile while all other
        
        
          simulations give almost same results. Comparing predictions to
        
        
          inclinometer measurements of wall displacements, the same
        
        
          trend can be observed. For the case of anchor prestressing wall
        
        
          displacements are toward the back soil, and attain typical shape
        
        
          of inward movement for the final excavation.
        
        
          Nikolinakou M.A., Whittle A.J., Savidis S. and Schran U. 2011.
        
        
          Prediction and Interpretation of the Performance of a Deep
        
        
          Excavation in Berlin Sand,
        
        
          
            Journal of geotechnical and
          
        
        
          
            Geoenvironmental Engineering
          
        
        
          , ASCE, Nov.2011.
        
        
          Pestana J.M. and Salvati L.A. 2006. Small-Strain Behavior of Granular
        
        
          Soils. I: Model for Cemented and Uncemented Sands and Gravels.
        
        
          
            Journal of Geotechnical and Geoenvironmental Engineering
          
        
        
          132
        
        
          (8), 1071-1081.
        
        
          Segelman D.J. and Star M.J. 2008. Inversion of Masing models via
        
        
          continuous Iwan systems.
        
        
          
            International Journal of Non-Linear
          
        
        
          
            Mechanics
          
        
        
          , 43, 74-80.
        
        
          Observed results add to the confidence of using IWAN soil
        
        
          model in complex numerical simulation. The model predicts
        
        
          well real sand behavior for wide range of stress, strain and
        
        
          densities by using a single set of input parameters. Material
        
        
          parameters for the shear and dilatancy, calibrated to several
        
        
          sand types, may be used with confidence, while the basic
        
        
          parameters can be derived from basic laboratory and in situ
        
        
          tests.
        
        
          Sheng D., Yao Y. and Carter J. P. 2008. A volume-stress model for
        
        
          sands under isotropic and critical states.
        
        
          
            Canadian Geotechnical
          
        
        
          
            Journa,
          
        
        
          45, 1639-1645.
        
        
          Sokolić I. 2010. A sand model embedded into the generalized Iwan
        
        
          system, unpublished PhD Thesis, Faculty of Civil Engineering
        
        
          Zagreb (in Croatian, unpublished)