| Introduction | p. xvii |
| Soil-Structure Interaction | |
| Twenty five Years of Boundary Elements for Dynamic Soil-Structure Interaction | |
| Introduction | p. 1 |
| Dynamic Stiffness of Foundations | p. 9 |
| Three-Dimensional Foundations | p. 13 |
| Strip Foundations | p. 16 |
| Axisymmetric Foundations | p. 20 |
| Foundations on Saturated Poroelastic Soils | p. 24 |
| Seismic Response of Foundations | p. 28 |
| Dynamic Soil-Water-Structure Interaction. Seismic Response of Dams | p. 31 |
| Fluid-Solid Interfaces | p. 34 |
| Gravity Dams | p. 35 |
| Dam on a Rigid Foundation. Empty Reservoir | p. 36 |
| Dam on a Rigid Foundation. Reservoir Full of Water | p. 37 |
| Dam on a Flexible Foundation. Empty Reservoir | p. 38 |
| Dam on a Flexible Foundation. Reservoir Full of Water | p. 39 |
| Bottom Sediment Effects | p. 42 |
| Arch Dams | p. 44 |
| Dam on a Rigid Foundation. Empty Reservoir | p. 45 |
| Dam on a Flexible Foundation. Empty Reservoir | p. 46 |
| Dam on a Flexible Foundation. Reservoir Full of Water | p. 49 |
| Travelling Wave Effects | p. 51 |
| Poroelastic Sediment Effects | p. 56 |
| References | p. 57 |
| Computational Soil-Structure Interaction | |
| Introduction | p. 61 |
| Physical Models | p. 61 |
| Numerical Models | p. 62 |
| Heterogeneities in the Bem | p. 63 |
| Time Domain Bem/Frequency Domain Bem | p. 64 |
| Stochastic Approach | p. 65 |
| Unbounded Structures | p. 65 |
| Guidelines | p. 66 |
| Physical and Mathematical Models | p. 66 |
| Geometry | p. 66 |
| The Unknown Fields | p. 67 |
| Loads | p. 68 |
| Incident Fields | p. 68 |
| Initial Conditions | p. 68 |
| Applied Forces and Tractions | p. 69 |
| Linear Equations | p. 69 |
| Field Equations | p. 69 |
| Coupling Equations | p. 69 |
| Variability on the Parameters | p. 70 |
| Stochastic Model of the Soil Parameters | p. 70 |
| Stochastic Model for the Applied Loads | p. 71 |
| Summary of Modelling Section | p. 73 |
| Wellposedness and Approximation | p. 74 |
| Domain Decomposition | p. 74 |
| Coupling Fields | p. 74 |
| Local Boundary Value Problems | p. 74 |
| Variational Formulations | p. 75 |
| The Sfsi Equation | p. 76 |
| Fem and Reduction Techniques | p. 77 |
| Component Mode Synthesis | p. 78 |
| Principal Directions | p. 79 |
| Boundary Integral Equations and BEM | p. 80 |
| Regularized Boundary Integral Equation in a Layered Half-Space | p. 80 |
| Regularizing Tensors | p. 81 |
| Boundary Elements | p. 82 |
| Coupling with Other Numerical Techniques | p. 83 |
| Fem-Bem Coupling Inside a Volume | p. 84 |
| Unbounded Interfaces | p. 87 |
| General Space-Wavenumber Transform | p. 87 |
| Invariant Operators | p. 89 |
| Domain Decomposition on Invariant Domains | p. 89 |
| Bem on Invariant Domains | p. 90 |
| Non Invariant Unbounded Interfaces | p. 92 |
| Statistically Homogeneous Random Medium | p. 92 |
| Weakly Perturbed Invariant Domains | p. 92 |
| Truncated Invariant Domain | p. 92 |
| Green's Functions of a Layered Half-Space | p. 93 |
| Solution in the Slowness Space | p. 94 |
| Fast Inverse Hankel Transform | p. 95 |
| Singularities | p. 95 |
| Applications | p. 96 |
| Soil-Fluid-Structure Interaction | p. 96 |
| Modal Reduction for SSI | p. 96 |
| Selecting Dynamic Interface Modes | p. 98 |
| Selecting Input Shapes for Static Correction | p. 99 |
| SSI on a Random Soil | p. 100 |
| SFSI for Periodic Sheet-Piles | p. 103 |
| Topographic Site Effects Using SSI Framework | p. 107 |
| The City-Site Effect | p. 107 |
| Spectral Ratios | p. 109 |
| SSI in Borehole Geophysics | p. 112 |
| Conclusion | p. 112 |
| References | p. 114 |
| Appendix: Mathematical Results and Formulae | p. 122 |
| Mathematical Properties of Variational Bie | p. 122 |
| Coupling on a Volume | p. 123 |
| Proper Norm for Residual Forces | p. 124 |
| Matrices for the Reflection-Transmission Scheme | p. 124 |
| Hankel Transform | p. 125 |
| Reconstruction Formulae | p. 125 |
| The Semi-Analytical Fundamental-Solution-Less Scaled Boundary Finite-Element Method to Model Unbounded Soil | |
| Introduction | p. 127 |
| Objective of Dynamic Soil-Structure Interaction Analysis | p. 129 |
| Salient Concept | p. 130 |
| Scaled-Boundary-Transformation-Based Derivation | p. 134 |
| Governing Equations of Elastodynamics | p. 134 |
| Boundary Discretisation with Finite Elements | p. 135 |
| Dynamic Stiffness Matrix | p. 136 |
| High-Frequency Asymptotic Expansion of Dynamic Stiffness Matrix | p. 137 |
| Material Damping | p. 139 |
| Unit-Impulse Response Matrix | p. 140 |
| Mechanically Based Derivation | p. 141 |
| Analytic Solution in Frequency Domain | p. 144 |
| Numerical Solution in Frequency and Time Domains | p. 147 |
| Extensions | p. 148 |
| Incompressible Elasticity | p. 148 |
| Variation of Material Properties in Radial Direction | p. 149 |
| Reduced Set of Base Functions | p. 150 |
| Two-Dimensional Layered Unbounded Soil | p. 150 |
| Substructuring | p. 151 |
| Numerical Examples | p. 152 |
| Prism Foundation Embedded in Half-Space | p. 152 |
| Spherical Cavity in Full-Space With Spherical Symmetry | p. 155 |
| In-Plane Motion of Semi-Infinite Wedge | p. 159 |
| In-Plane Motion of Circular Cavity in Full Plane | p. 161 |
| Out-of-Plane Motion of Circular Cavity in Full Plane With Hysteretic Damping | p. 162 |
| Bounded Medium | p. 165 |
| Concluding Remarks | p. 167 |
| References | p. 171 |
| BEM Analysis of SSI Problems in Random Media | |
| Introduction | p. 175 |
| Review of the Literature | p. 179 |
| Random Loading | p. 180 |
| Monte Carlo Simulations | p. 180 |
| Random Boundaries | p. 181 |
| Soil Modelling | p. 181 |
| Foundations | p. 182 |
| Slope Stability | p. 183 |
| Consolidation | p. 184 |
| Soil-Structure Interaction | p. 184 |
| Earthquake Source Mechanism | p. 185 |
| Probabilistic Response Spectra | p. 187 |
| Integral Equation Formulation | p. 187 |
| Theoretical Background | p. 187 |
| Formal Solution | p. 188 |
| Closure Approximation | p. 190 |
| Vibrations in Random Soil Media | p. 191 |
| Problem Statement | p. 192 |
| Ground Randomness | p. 192 |
| Analytical Solution | p. 194 |
| Approximate Solution Technique | p. 195 |
| BEM Approach with Volume Integrals | p. 195 |
| BEM Approach without Volume Integrals | p. 199 |
| General Comments | p. 201 |
| Stochastic Field Simulations | p. 201 |
| Numerical Example | p. 203 |
| BEM Formulation based on Perturbations | p. 206 |
| Background | p. 207 |
| Formulation | p. 208 |
| Fundamental Solutions | p. 211 |
| Numerical Examples | p. 213 |
| Circular Unlined Tunnel Enveloped by a Pressure Wave | p. 213 |
| Circular Unlined Tunnel in a Half-Plane under Surface Load | p. 216 |
| BEM Formulation Based on Polynomial Chaos | p. 216 |
| Background | p. 216 |
| Formulation | p. 217 |
| Response Statistics | p. 222 |
| Numerical Example | p. 223 |
| Conclusions | p. 227 |
| References | p. 228 |
| Soil-Structure Interaction in Practice | |
| Introduction | p. 235 |
| Brief Review of Literature on Building Structures and SSI | p. 235 |
| Brief Review of Literature on Bridges and SSI | p. 238 |
| Seismic Design of Building Structures Including SSI | p. 238 |
| Brief Introduction | p. 238 |
| Design Procedure | p. 239 |
| Response Spectrum Analysis With SSI | p. 246 |
| Numerical Example: Building Structure | p. 247 |
| Conclusions | p. 249 |
| Seismic Analysis of Bridges Including SSI | p. 251 |
| Brief Introduction | p. 251 |
| Modelling of the Structure and the Soil | p. 251 |
| Modelling Backfill Soil Stiffness | p. 251 |
| Modelling Pile Stiffness | p. 253 |
| Modelling Abutment Stiffness for Linear Iterative Analysis | p. 255 |
| Iterative Analysis Procedure | p. 257 |
| Modelling Abutment Stiffness for Non-Linear Analysis | p. 260 |
| Bridge Example | p. 261 |
| Stiffness Computation | p. 264 |
| Parametric Studies | p. 268 |
| Remarks and Conclusions | p. 269 |
| References | p. 270 |
| Appendix | p. 272 |
| Related Topics and Applications | |
| Bem Techniques for Nonlocal Elasticity | |
| Introduction | p. 275 |
| Nonlocal Elasticity | p. 277 |
| Thermodynamic Framework | p. 279 |
| Boundary-value Problem | p. 281 |
| Hu-Washizu Principle Extended to Nonlocal Elasticity | p. 284 |
| Nonlocal Hyperelastic Material | p. 284 |
| Linear Local Elasticity with Correction Strain | p. 285 |
| A Boundary/Domain Stationarity Principle | p. 287 |
| Symmetric Galerkin BEM Technique | p. 290 |
| Nonsymmetric Collocation BEM Technique | p. 293 |
| Conclusions | p. 294 |
| References | p. 295 |
| Bem for Crack Dynamics | |
| Abstract | p. 297 |
| Introduction | p. 297 |
| Time Domain Method (TDM) | p. 299 |
| Laplace Transform Method (LTM) | p. 303 |
| Dual Reciprocity Method (DRM) | p. 305 |
| Cauchy and Hadamard Principal-Value Integrals | p. 307 |
| Numerical Examples | p. 308 |
| A Central Inclined Crack | p. 308 |
| Elliptical Crack | p. 310 |
| Conclusions | p. 311 |
| References | p. 312 |
| Symmetric Galerkin Boundary Element Analysis in Three-Dimensional Linear-Elastic Fracture Mechanics | |
| Abstract | p. 315 |
| Introduction | p. 315 |
| Formulation | p. 316 |
| Numerical Evaluation of Weakly Singular Integrals | p. 320 |
| Coincident Elements | p. 321 |
| Common Edge | p. 324 |
| Common Vertex | p. 326 |
| Numerical Examples | p. 327 |
| Fractures in Infinite Domains | p. 328 |
| Edge Cracked Bar | p. 331 |
| Circular Edge Crack in a Plate | p. 336 |
| Quarter Elliptic Corner Crack in a Plate | p. 339 |
| Concluding Remarks | p. 339 |
| References | p. 341 |
| Appendices | |
| Surface Rotors | p. 342 |
| Transformations and Equivalence of Domains | p. 343 |
| Equivalence of D[superscript c subscript 2]([eta subscript 1], [eta subscript 2], [eta subscript 1], [eta subscript 2]) and D[superscript c subscript 1]([eta subscript 1], [eta subscript 2], [eta subscript 1], [eta subscript 2]) | p. 344 |
| Numerical Simulation of Seismic Wave Scattering and Site Amplification, with Application to the Mexico City Valley | |
| Abstract | p. 345 |
| Introduction | p. 345 |
| Wave Propagation in a Half-Space | p. 347 |
| Incident Waves | p. 349 |
| BEM Formulation for SH Waves | p. 351 |
| BEM Formulation for P, SV and Rayleigh Waves | p. 355 |
| Observed Amplification in the Mexico City Valley | p. 359 |
| One-dimensional Response in the Mexico City Valley | p. 364 |
| Two-dimensional Modelling Using the BEM | p. 365 |
| Conclusions | p. 369 |
| References | p. 373 |
| Index | p. 377 |
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