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| Introduction | |
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| Soil-Structure Interaction | |
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| Twenty five Years of Boundary Elements for Dynamic Soil-Structure Interaction | |
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| Introduction | |
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| Dynamic Stiffness of Foundations | |
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| Three-Dimensional Foundations | |
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| Strip Foundations | |
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| Axisymmetric Foundations | |
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| Foundations on Saturated Poroelastic Soils | |
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| Seismic Response of Foundations | |
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| Dynamic Soil-Water-Structure Interaction. Seismic Response of Dams | |
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| Fluid-Solid Interfaces | |
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| Gravity Dams | |
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| Dam on a Rigid Foundation. Empty Reservoir | |
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| Dam on a Rigid Foundation. Reservoir Full of Water | |
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| Dam on a Flexible Foundation. Empty Reservoir | |
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| Dam on a Flexible Foundation. Reservoir Full of Water | |
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| Bottom Sediment Effects | |
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| Arch Dams | |
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| Dam on a Rigid Foundation. Empty Reservoir | |
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| Dam on a Flexible Foundation. Empty Reservoir | |
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| Dam on a Flexible Foundation. Reservoir Full of Water | |
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| Travelling Wave Effects | |
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| Poroelastic Sediment Effects | |
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| References | |
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| Computational Soil-Structure Interaction | |
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| Introduction | |
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| Physical Models | |
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| Numerical Models | |
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| Heterogeneities in the Bem | |
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| Time Domain Bem/Frequency Domain Bem | |
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| Stochastic Approach | |
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| Unbounded Structures | |
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| Guidelines | |
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| Physical and Mathematical Models | |
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| Geometry | |
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| The Unknown Fields | |
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| Loads | |
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| Incident Fields | |
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| Initial Conditions | |
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| Applied Forces and Tractions | |
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| Linear Equations | |
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| Field Equations | |
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| Coupling Equations | |
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| Variability on the Parameters | |
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| Stochastic Model of the Soil Parameters | |
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| Stochastic Model for the Applied Loads | |
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| Summary of Modelling Section | |
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| Wellposedness and Approximation | |
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| Domain Decomposition | |
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| Coupling Fields | |
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| Local Boundary Value Problems | |
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| Variational Formulations | |
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| The Sfsi Equation | |
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| Fem and Reduction Techniques | |
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| Component Mode Synthesis | |
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| Principal Directions | |
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| Boundary Integral Equations and BEM | |
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| Regularized Boundary Integral Equation in a Layered Half-Space | |
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| Regularizing Tensors | |
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| Boundary Elements | |
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| Coupling with Other Numerical Techniques | |
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| Fem-Bem Coupling Inside a Volume | |
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| Unbounded Interfaces | |
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| General Space-Wavenumber Transform | |
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| Invariant Operators | |
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| Domain Decomposition on Invariant Domains | |
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| Bem on Invariant Domains | |
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| Non Invariant Unbounded Interfaces | |
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| Statistically Homogeneous Random Medium | |
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| Weakly Perturbed Invariant Domains | |
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| Truncated Invariant Domain | |
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| Green's Functions of a Layered Half-Space | |
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| Solution in the Slowness Space | |
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| Fast Inverse Hankel Transform | |
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| Singularities | |
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| Applications | |
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| Soil-Fluid-Structure Interaction | |
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| Modal Reduction for SSI | |
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| Selecting Dynamic Interface Modes | |
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| Selecting Input Shapes for Static Correction | |
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| SSI on a Random Soil | |
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| SFSI for Periodic Sheet-Piles | |
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| Topographic Site Effects Using SSI Framework | |
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| The City-Site Effect | |
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| Spectral Ratios | |
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| SSI in Borehole Geophysics | |
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| Conclusion | |
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| References | |
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| Appendix: Mathematical Results and Formulae | |
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| Mathematical Properties of Variational Bie | |
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| Coupling on a Volume | |
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| Proper Norm for Residual Forces | |
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| Matrices for the Reflection-Transmission Scheme | |
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| Hankel Transform | |
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| Reconstruction Formulae | |
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| The Semi-Analytical Fundamental-Solution-Less Scaled Boundary Finite-Element Method to Model Unbounded Soil | |
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| Introduction | |
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| Objective of Dynamic Soil-Structure Interaction Analysis | |
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| Salient Concept | |
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| Scaled-Boundary-Transformation-Based Derivation | |
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| Governing Equations of Elastodynamics | |
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| Boundary Discretisation with Finite Elements | |
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| Dynamic Stiffness Matrix | |
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| High-Frequency Asymptotic Expansion of Dynamic Stiffness Matrix | |
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| Material Damping | |
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| Unit-Impulse Response Matrix | |
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| Mechanically Based Derivation | |
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| Analytic Solution in Frequency Domain | |
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| Numerical Solution in Frequency and Time Domains | |
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| Extensions | |
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| Incompressible Elasticity | |
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| Variation of Material Properties in Radial Direction | |
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| Reduced Set of Base Functions | |
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| Two-Dimensional Layered Unbounded Soil | |
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| Substructuring | |
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| Numerical Examples | |
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| Prism Foundation Embedded in Half-Space | |
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| Spherical Cavity in Full-Space With Spherical Symmetry | |
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| In-Plane Motion of Semi-Infinite Wedge | |
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| In-Plane Motion of Circular Cavity in Full Plane | |
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| Out-of-Plane Motion of Circular Cavity in Full Plane With Hysteretic Damping | |
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| Bounded Medium | |
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| Concluding Remarks | |
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| References | |
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| BEM Analysis of SSI Problems in Random Media | |
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| Introduction | |
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| Review of the Literature | |
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| Random Loading | |
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| Monte Carlo Simulations | |
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| Random Boundaries | |
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| Soil Modelling | |
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| Foundations | |
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| Slope Stability | |
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| Consolidation | |
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| Soil-Structure Interaction | |
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| Earthquake Source Mechanism | |
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| Probabilistic Response Spectra | |
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| Integral Equation Formulation | |
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| Theoretical Background | |
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| Formal Solution | |
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| Closure Approximation | |
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| Vibrations in Random Soil Media | |
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| Problem Statement | |
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| Ground Randomness | |
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| Analytical Solution | |
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| Approximate Solution Technique | |
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| BEM Approach with Volume Integrals | |
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| BEM Approach without Volume Integrals | |
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| General Comments | |
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| Stochastic Field Simulations | |
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| Numerical Example | |
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| BEM Formulation based on Perturbations | |
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| Background | |
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| Formulation | |
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| Fundamental Solutions | |
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| Numerical Examples | |
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| Circular Unlined Tunnel Enveloped by a Pressure Wave | |
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| Circular Unlined Tunnel in a Half-Plane under Surface Load | |
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| BEM Formulation Based on Polynomial Chaos | |
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| Background | |
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| Formulation | |
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| Response Statistics | |
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| Numerical Example | |
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| Conclusions | |
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| References | |
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| Soil-Structure Interaction in Practice | |
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| Introduction | |
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| Brief Review of Literature on Building Structures and SSI | |
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| Brief Review of Literature on Bridges and SSI | |
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| Seismic Design of Building Structures Including SSI | |
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| Brief Introduction | |
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| Design Procedure | |
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| Response Spectrum Analysis With SSI | |
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| Numerical Example: Building Structure | |
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| Conclusions | |
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| Seismic Analysis of Bridges Including SSI | |
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| Brief Introduction | |
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| Modelling of the Structure and the Soil | |
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| Modelling Backfill Soil Stiffness | |
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| Modelling Pile Stiffness | |
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| Modelling Abutment Stiffness for Linear Iterative Analysis | |
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| Iterative Analysis Procedure | |
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| Modelling Abutment Stiffness for Non-Linear Analysis | |
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| Bridge Example | |
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| Stiffness Computation | |
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| Parametric Studies | |
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| Remarks and Conclusions | |
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| References | |
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| Appendix | |
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| Related Topics and Applications | |
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| Bem Techniques for Nonlocal Elasticity | |
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| Introduction | |
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| Nonlocal Elasticity | |
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| Thermodynamic Framework | |
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| Boundary-value Problem | |
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| Hu-Washizu Principle Extended to Nonlocal Elasticity | |
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| Nonlocal Hyperelastic Material | |
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| Linear Local Elasticity with Correction Strain | |
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| A Boundary/Domain Stationarity Principle | |
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| Symmetric Galerkin BEM Technique | |
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| Nonsymmetric Collocation BEM Technique | |
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| Conclusions | |
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| References | |
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| Bem for Crack Dynamics | |
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| Abstract | |
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| Introduction | |
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| Time Domain Method (TDM) | |
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| Laplace Transform Method (LTM) | |
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| Dual Reciprocity Method (DRM) | |
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| Cauchy and Hadamard Principal-Value Integrals | |
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| Numerical Examples | |
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| A Central Inclined Crack | |
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| Elliptical Crack | |
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| Conclusions | |
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| References | |
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| Symmetric Galerkin Boundary Element Analysis in Three-Dimensional Linear-Elastic Fracture Mechanics | |
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| Abstract | |
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| Introduction | |
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| Formulation | |
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| Numerical Evaluation of Weakly Singular Integrals | |
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| Coincident Elements | |
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| Common Edge | |
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| Common Vertex | |
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| Numerical Examples | |
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| Fractures in Infinite Domains | |
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| Edge Cracked Bar | |
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| Circular Edge Crack in a Plate | |
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| Quarter Elliptic Corner Crack in a Plate | |
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| Concluding Remarks | |
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| References | |
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| Appendices | |
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| Surface Rotors | |
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| Transformations and Equivalence of Domains | |
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| 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]) | |
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| Numerical Simulation of Seismic Wave Scattering and Site Amplification, with Application to the Mexico City Valley | |
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| Abstract | |
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| Introduction | |
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| Wave Propagation in a Half-Space | |
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| Incident Waves | |
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| BEM Formulation for SH Waves | |
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| BEM Formulation for P, SV and Rayleigh Waves | |
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| Observed Amplification in the Mexico City Valley | |
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| One-dimensional Response in the Mexico City Valley | |
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| Two-dimensional Modelling Using the BEM | |
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| Conclusions | |
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| References | |
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| Index | |