Page 10 - Numerical Analysis and Modelling in Geomechanics
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            5.13  (a) Displacement-time and (b) force-time functions at the pile head    150
            5.14  Radial particle velocities                                151
            5.15  Verticle particle velocities                              152
            5.16  Radial particle velocities at (a) 7 m and (b) 16.5 m, impact hammer,    154
                 Flitwick
            5.17  Schematics of stage 1 model for vibrodriving, and for shaft/soil    155
            5.18  Measured and computed radial particle velocities at 2 m, 7 m and 16.5 157
                 m from the vibrodriven pile, Flitwick
            5.19  Radial velocities at 5.7 m, 14.5 m and 32.9 m, vibrodriving at Second   157
                 Severn Crossing
            5.20  Vertical velocities at 5.7 m, 14.5 m and 32.9 m, vibrodriving at Second 158
                 Severn Crossing
            5.21  Schematic view of soil plus structure                     159
            5.22  Frame deformations during passage of a transient wave from impact  160
                 piling
            5.23  Wall displacements during passage of a transient wave     161
            5.24  Vertical displacements of three surface nodes during vibrodriving, (a)  163
                 free-ground and (b) with a brickwork wall
            5.25  Meshes for pipe deformation analyses                      164
            5.26  Pipe deformation during passage of a P-wave               165
            5.27  Pipe deformation at 45°, during passage of an S-wave, and    165
                 justification
            5.28  Pipe deformation due to a Rayleigh wave                   166
            6.1   Construction sequence of the railroad tunnel              177
            6.2   Soil profile. The three zones in the grain size distribution denotes, from 179
                 left to right: gravel, sand and silt
            6.3   Location of the measurement points                        180
            6.4   Surface settlements recorded during the tunnel excavation    181
            6.5   Finite element mesh for the plane strain back analyses    182
            6.6   Elastic moduli of the sand layers obtained by the in situ dilatometer    183
                 tests and by the elastic back analyses of the displacement
                 measurements
            6.7   Comparison between the vertical displacements measured in the field  184
                 and those obtained by the elastic back analysis
            6.8   Schematic representation of the relationship between average shear    185
                 stress τ and displacement δ for direct shear tests on a stiff soil sample,
                 and relevant failure envelopes
            6.9   Variation of the friction angle φ with increasing square root of the    185
                 second invariant of the deviatoric plastic strains J 2
            6.10  Comparison between the vertical displacements measured at the end  186
                 of construction and those obtained by the elasto-plastic analysis
            6.11  Contour lines of the square root of the second invariant of the    186
                 deviatoric plastic strains
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