Deterministic Numerical Modeling of Soil Structure Interaction

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In order to describe soil–structure interaction in various situations (nonlinear, static, dynamic, hydro-mechanical couplings), this book gives an overview of the main modeling methods developed in geotechnical engineering. The chapters are centered around: the finite element method (FEM), the finite difference method (FDM), and the discrete element method (DEM). Deterministic Numerical Modeling of Soil–Structure Interaction allows the reader to explore the classical and well-known FEM and FDM, using interface and contact elements available for coupled hydro-mechanical problems.<br /><br />Furthermore, this book provides insight on the DEM, adapted for interaction laws at the grain level. Within a classical finite element framework, the concept of macro-element is introduced, which generalizes constitutive laws of SSI and is particularly straightforward in dynamic situations. Finally, this book presents the SSI, in the case of a group of structures, such as buildings in a town, using the notion of metamaterials and a geophysics approach.

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Comparison between the experiment results obtained for F v = 34.5 kN...Figure 2.22. Network of contact forces between the granular particles at various...Figure 2.23. Comparison of the numerical loading curves assuming different frict...Figure 2.24. Comparison of the numerical tensile forces in the geosynthetic fabr...Figure 2.25. Comparison between the numerical and analytical curves in terms of ...Figure 2.26. Geometry of the reference numerical sample [HUC 14a] Figure 2.27. Comparison between numerical and experimental results of geosynthet...Figure 2.28. Comparison between the numerical and experimental results of the st...Figure 2.29. Efficiency of the load transfer according to the ratio D/h m for the...Figure 2.30. Comparison between the surface settlements and the vertical displac...Figure 2.31. Change in porosity within the granular embankment depending on the ...Figure 2.32. Comparison of the geometries of the load distribution acting on the...Figure 2.33. Comparison of the contact force distributions depending on the cavi...

3 Chapter 3Figure 3.1. Resolution scheme during one calculation time step Figure 3.2. Structural elements and degrees of freedom for three-dimensional mod...Figure 3.3. Components of a bounded interface (source: from [ITA 09]) Figure 3.4. Triaxial (top) and oedometric (bottom) test results (source: from [J...Figure 3.5. Tunnel face extrusion (left) and surface settlement (right) due to t...Figure 3.6. 2D and 3D numerical modeling procedures (source: from [DO 17]). For ...Figure 3.7. MSE wall and 2D equivalent model (source: from [ABD 11]) Figure 3.8. 2D numerical model of a laboratory pull-out test (source: from [ABD ...Figure 3.9. Ultimate limit state of the reference MSE wall of 6 m height (source...Figure 3.10. Main behavior parameters influencing the ultimate limit state (ULS)...Figure 3.11. 3D numerical model (left) and sequential tunnel excavation procedur...Figure 3.12. Surface displacements (source: from [JEN 04]) Figure 3.13. Physical model cross-section (dimensions in mm), 3D numerical model...Figure 3.14. Comparison between experimental and numerical results in terms of a...Figure 3.15. Numerical plastic zones (left) and iso-settlement lines obtained in...Figure 3.16. 2D plane strain numerical model (source: from [DO 14a]) Figure 3.17. Connection between lining segment elements (source: from [DO 14a]) Figure 3.18. Impact of the soil constitutive model on the bending moments in the...Figure 3.19. Bending moments in the tunnel lining obtained with a dynamic calcul...Figure 3.20. Schematic vertical cross-section Figure 3.21. 2D schematic view of the laboratory small-scale model (left) and nu...Figure 3.22. Principal stress orientation around the pile in the continuum model...Figure 3.23. 3D numerical model of the pile grid unit element (source: from [JEN...Figure 3.24. Parametric study results for two soft deposit compressibilities (S1...Figure 3.25. 3D numerical model of an embankment current section and horizontal ...Figure 3.26. System efficacy according to the embankment material shear ratio fo...Figure 3.27. Chelles experimental site (source: from [NUN 13]). For a color vers...Figure 3.28. 3D numerical models of the Chelles experimental site: elementary ce...Figure 3.29. Comparison of the numerical (CE = elementary cell; MG = global mode...Figure 3.30. Comparison of the numerical and experimental results in terms of se...Figure 3.31. Schematic cross-section of the upper part of the improved system (l...Figure 3.32. Stress at the platform base (left) and differential settlement at v...Figure 3.33. Photograph of the laboratory small-scale model and schematic horizo...Figure 3.34. Numerical model (left) and vertical displacement field in the model...Figure 3.35. Comparison of experimental and numerical results in terms of load e...Figure 3.36. Numerical model (source: from [LOP 17]). For a color version of thi...

4 Chapter 4Figure 4.1. Generalized forces for a shallow foundation Figure 4.2. Comparisons between different failure surfaces plotted with dimensio...Figure 4.3. Representation of the bearing capacity for a shallow foundation from...Figure 4.4. Components of T e U : (a) generalized forces and (b) generalized disp...Figure 4.5. Effect of the displacement history on the system response, for a giv...Figure 4.6. Elastoplastic model by [GRA 09]: evolution of the yield surfaces wit...Figure 4.7. Definition of the surface f = 0 and γ Figure 4.8. Definition of the surface g = 0 and γ g Figure 4.9. Viaduct scheme (out of scale; the dimensions reported refer to the s...Figure 4.10. Finite element model of the viaduct. The black circles represent th...Figure 4.11. Details of the pier discretization and the different cross-sections Figure 4.12. Scaled accelerogram applied to the foundations and abutment of the ...Figure 4.13. Load multiplier adopted in the cyclic calibration test no. 3 Figure 4.14. Calibration test no. 1 – phase a): normalized vertical force v vers...Figure 4.15. Calibration test no. 1 – phase a): normalized horizontal force h x v...Figure 4.16. Calibration test no. 2 – phase b): normalized moment m y versus norm...Figure 4.17. Calibration test no. 3 – phase b): normalized horizontal force h x v...Figure 4.18. Calibration test no. 3 – phase b): normalized moment m y versus norm...Figure 4.19. Calibration test no. 3 – phase b): normalized vertical displacement ...Figure 4.20. Horizontal force versus horizontal displacement at the foundations:...Figure 4.21. Bending moment versus rotation at the foundations: a) P1 and P3 pie...Figure 4.22. Time evolution of the shear force at the head of the foundations: a...Figure 4.23. Time evolution of the bending moment at the head of the foundations...Figure 4.24. Time evolution of the horizontal displacement of the pier heads: a)...Figure 4.25. Bending moment versus curvature: a) P1 and P3 piers and b) P2 pier....Figure 4.26. Time evolution of the vertical displacements of the foundations: a)...

5 Chapter 5Figure 5.1. Example of the effect of soil–structure interaction on the response ...Figure 5.2. a) Presentation of the Grenoble Town Hall (France) and the permanent...Figure 5.3. Models of structures tested in centrifuges. The black arrow indicate...Figure 5.4. Results of centrifuge trials, according to [CHA 19]. a) Soil column ...Figure 5.5. Examples of displacements u(t) calculated at the top of buildings B1...Figure 5.6. Spectral responses of soil–structure systems presented in Figure 5.5 Figure 5.7. Variation in the difference of vibration energy of the central tower...Figure 5.8. Aerial images of cities exposed to seismic hazard and presenting a m...Figure 5.9. Recording of soil motion 40 km from the WTC excited by the impact of...Figure 5.10. Accelerometer recordings in a station at the rock (on top) and in t...Figure 5.11. Aerial and forest view of the deployment (yellow dots and yellow fl...

List of Tables

1 Chapter 1 Table 1.1. Stress state in the interface Table 1.2. Geometrical parameters: R int , inner radius; R out, outer radius; L, le...Table 1.3. Material parameters: E, Young’s modulus; ν , Poisson’s ratio; n, poros...

2 Chapter 2Table 2.1. Micro- and macromechanical parameters of the discrete model Table 2.2. Micro- and macromechanical parameters of the discrete model Table 2.3. Micro- and macromechanical parameters of the numerical granular mater...Table 2.4. Numerical parameters used to reproduce the mechanical behavior of the...

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