 
          1396
        
        
          Proceedings of the 18
        
        
          th
        
        
          International Conference on Soil Mechanics and Geotechnical Engineering, Paris 2013
        
        
          foundation seismic forces by about 14% while the foundation
        
        
          seismic displacements increased. Furthermore, the performance-
        
        
          based soil-foundation-structure interaction analyses demonstrate
        
        
          that the pile length can be shortened if increased displacements
        
        
          and rotations of the foundation can be tolerated under the bridge
        
        
          seismic and non-seismic performance criteria.
        
        
          Figure 14. Transverse shear-displacement time history results for Pier
        
        
          M5 using nonlinear inelastic soil springs (Yang, #2441).
        
        
          In paper #2630, Chang assesses an existing pile foundation
        
        
          through numerical models. He also suggests a new design by
        
        
          checking up the maximum moment of the pile with the moment
        
        
          capacities for the seismicity of interest. The pile displacements
        
        
          correspondent to the moment capacities can be found and used
        
        
          as the allowable pile displacements.
        
        
          The work of Vintila et al. (paper #3031) investigates the
        
        
          influence of seismic loads in foundation design for aeolian
        
        
          units. It proposes optimal design and construction techniques
        
        
          for different types of foundations on various soil profiles. The
        
        
          parameters are determined in the field from geoeletric studies
        
        
          and in the lab from oedometric as well as trixial tests. The
        
        
          behaviour of shallow foundations may be improved by making
        
        
          a skirt along the foundation edge. The foundation is thus
        
        
          embedded in a rock of good quality and the active surface is
        
        
          increases from 54% up to 70%. Large diameter piles connected
        
        
          to a slab may also be used; it acts as a compensating box and
        
        
          reduces the deformations. Finally, for thick loess layers (20m or
        
        
          more), floating pile foundation may be chosen.
        
        
          The effect of the loading history on soil-structure systems is
        
        
          analysed by Taranov et al. with respect to the rheological
        
        
          properties of the materials (paper #3065). They treat the integral
        
        
          equations of the creep theory in an algebraic way considering
        
        
          three different sequential processes: linear creeping of the
        
        
          foundation, nonlinear creeping of the base soil and simultaneous
        
        
          creeping of the soil and foundation. By using the Dynamic
        
        
          Hereditary creep theory, they can estimate the foundations
        
        
          settlements (logarithmical increase) due to machinery dynamic
        
        
          loads. As displayed in Fig.15, data obtained from special
        
        
          vibrostamp experimental tests allows to validate the theoretical
        
        
          approach in order to describe the deformation progress with
        
        
          time on steady-state phase of creep.
        
        
          Figure 15. The curve of settlement progress with time a
        
        
          z
        
        
          =10µm
        
        
          (Taranov et al., #3065).
        
        
          9 NUMERICAL MODELLING
        
        
          Four papers are mainly dedicated to numerical simulations even
        
        
          though several other papers involve numerical modelling. In
        
        
          this section, 3D FEM models are always considered.
        
        
          Dynamic FEM analysis is carried out by Sawamura et al.
        
        
          (#2299) to investigate the influence of spacing between multi-
        
        
          arch culverts and its mechanical behaviour under seismic
        
        
          conditions. In a previous study, dynamic centrifuge tests have
        
        
          been carried out to confirm the difference of dynamic behaviour
        
        
          due to the influence of spacing. Light fill material can be used
        
        
          for the reduction of earth pressure during earthquakes. In the
        
        
          present paper, 3D elasto-plastic FEM simulations are performed
        
        
          for static as well as dynamic loads. For wide unit intervals, large
        
        
          maximum bending moments are found. Figure 16 shows the
        
        
          earth pressure distribution on the boundary portions of the
        
        
          ground and arch culvert when maximum bending moment is
        
        
          generated at right foot. When the arch culvert bends to the left,
        
        
          as a result of seismic force, it turns out that a large earth
        
        
          pressure acts on the right-hand side of arch culvert. Comparing
        
        
          various spacings (from L=0.25H in red to L=1.5H in yellow),
        
        
          the earth pressure becomes higher for larger unit intervals. This
        
        
          could be due to the difference of horizontal displacements of the
        
        
          soil around arch culvert as shown in Figure 16. On the other
        
        
          hand, near the top part of the arch culvert, all cases lead to very
        
        
          close results.
        
        
          80
        
        
          0
        
        
          40
        
        
          80
        
        
          0
        
        
          40
        
        
          0
        
        
          20
        
        
          40
        
        
          60
        
        
          80
        
        
          100
        
        
          Case-1 : 49.1
        
        
          Case-2 : 52.1
        
        
          Case-3 : 58.3
        
        
          Case-4 : 61.9
        
        
          Single  : 66.1
        
        
          Case-1 : 26.9
        
        
          Case-2 : 30.8
        
        
          Case-3 : 38.5
        
        
          Case-4 : 43.5
        
        
          Single  : 55.0
        
        
          Case-1 : 12.1
        
        
          Case-2 : 13.1
        
        
          Case-3 : 17.8
        
        
          Case-4 : 219
        
        
          Single  : 32.2
        
        
          Case-1 (L=0.25H)
        
        
          Case-2 (L=0.50H)
        
        
          Case-3 (L=1.00H)
        
        
          Case-4 (L=1.50H)
        
        
          Case-single
        
        
          Unit: kPa
        
        
          Figure 16. Earth pressure distribution on the boundary portions of the
        
        
          ground and arch culvert when maximum bending moment is generated
        
        
          at right foot (Sawamura et al., #2299).
        
        
          Since static and seismic earth pressures are often determined
        
        
          from plan strain approaches, a 3D limit analysis numerical
        
        
          approach is proposed by Santana et al. (#2846) to determine
        
        
          seismic active horizontal earth pressure coefficients for vertical
        
        
          rigid walls. In this work, an associated flow rule and perfectly
        
        
          plastic behaviour are assumed. Various aspect ratios (b/h) are
        
        
          considered for the wall and different friction angles for the soil
        
        
          as well as soil-wall interface friction ratios. The applied loads
        
        
          involve the soil weight and equivalent static forces directed
        
        
          towards the wall, equal to
        
        
          
        
        
          , where
        
        
          
        
        
          is the seismic horizontal
        
        
          coefficient (
        
        
          
        
        
          =0, 0.1, 0.2, 0.3, 0.4 and 0.5). No vertical seismic
        
        
          coefficient was considered.
        
        
          As depicted in Fig.17, the mechanisms involved in the
        
        
          mobilization of the active earth pressures are inferred from the
        
        
          plastic deformation zones. The numerical results show a
        
        
          significant three-dimensional effect of the b/h ratio: for small
        
        
          values of this ratio, there is a significant decrease in the soil
        
        
          seismic horizontal active earth pressure coefficients. For large
        
        
          aspect ratios, the pressure coefficients are very close to the two-
        
        
          dimensional case. The ratios between the 3D and 2D seismic
        
        
          horizontal earth pressure coefficients are found to be
        
        
          independent on the soil/wall friction ratio.