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Boundary Element Methods for Soil-Structure Interaction

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ISBN-10: 1402013000

ISBN-13: 9781402013003

Edition: 2003

Authors: W. S. Hall, G. Oliveto

List price: $249.99
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Book details

List price: $249.99
Copyright year: 2003
Publisher: Springer
Publication date: 5/31/2003
Binding: Hardcover
Pages: 412
Size: 6.25" wide x 9.50" long x 0.75" tall
Weight: 1.980
Language: English

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