Synopses & Reviews
This state-of-the-art book consists of up to date contributions from leading European researchers and practitioners centred on Soil-Structure Interaction problems. The Boundary Element Method is used as an appropriate solution technique for these problems involving complex geometries, and often unbounded media. For non-linear problems the Boundary Element Method is used in conjunction with the Finite Element Method. Other topics are treated, such as Fracture Mechanics, from which advanced methods may be taken for future use in Earthquake Engineering. Overall, the book provides an authoritative guide to the literature on the subject covered and is expected to be an invaluable tool for practising engineers, students and scholars in the fields of Structural, Geotechnical and Earthquake Engineering. Engineers and students may readily locate the materials or methods available for the solution of their particular problem while scholars may discover methods previously not considered for the particular application being considered. The book should also be of interest to the larger community of applied mathematicians and software developers in seeing a field where the Boundary Element Method can provide a wealth of relevant and efficient solutions. Finally the book can be used as a starting point for research and for the investigation of unsolved problems in Soil-Structure and Fluids-Structure-Soil Interaction, particularly non-linear coupled problems which could be advantageously approached by means of Boundary Element Methods.
Synopsis
The book provides an authoritative guide to the literature on the subject covered and is expected to be an invaluable tool for practising engineers, students and scholars in the fields of Structural, Geotechnical and Earthquake Engineering. Engineers and students may readily locate the materials or methods available for the solution of their particular problem while scholars may discover methods previously not considered for the particular application being considered. The book should also be of interest to the larger community of applied mathematicians and software developers in seeing a field where the Boundary Element Method can provide a wealth of relevant and efficient solutions. Finally the book can be used as a starting point for research and for the investigation of unsolved problems in Soil-Structure and Fluids-Structure-Soil Interaction, particularly non-linear coupled problems which could be advantageously approached by means of Boundary Element Methods.
Table of Contents
Introduction;
W.S. Hall, G. Oliveto. 1: Soil-Structure Interaction. 1. Twenty-Five Years of Boundary Elements for Dynamic Soil-Structure Interaction; J. Dominguez. 1. Introduction. 2. Dynamic Stiffness of Foundations. 3. Seismic Response of Foundations. 4. Dynamic Soil-Water-Structure Interaction. Seismic Response of Dams. 5. Gravity Dams. 6. Arch Dams. 7. References. 2. Computational Soil-Structure Interaction; D. Clouteau, D. Aubry. 1. Introduction. 2. Physical and Mathematical Models. 3. Domain Decomposition. 4. Boundary Integral Equations and BEM. 5. Unbounded Interfaces. 6. Green's Functions in a Layered Half-Space. 7. Applications. 8. Conclusion. 9. References. 10. Appendix: Mathematical Results and Formulae. 3. The Semi-Analytical Fundamental-Solutionless Scaled Boundary Finite-Element Method to Model Unbounded Soil; J.P. Wolf, C. Song. 1. Introduction. 2. Objective of Dynamic Soil-Structure Interaction Analysis. 3. Salient Concept. 4. Scaled-Boundary-Transformation-Based Derivation. 5. Mechanically Based Derivation. 6. Analytic Solution in Frequency Domain. 7. Numerical Solution in Frequency and Time Domains. 8. Extensions. 9. Numerical Examples. 10. Bounded Medium. 11. Concluding Remarks. 12. References. 4. BEM Analysis of SSI Problems in Random Media; G.D. Manolis, C.Z. Karakostos. 1. Introduction. 2. Review of the Literature. 3. Integral Equation Formulation. 4. Vibrations in Random Soil Media. 5. BEM Formulation Based on Perturbations. 6. BEM Formulation Based on Polynomial Chaos. 7. Conclusions. 8. References. 5. Soil-Structure Interaction in Practice; C.C. Spyrakos. 1. Introduction. 2. Seismic Design of Building Structures Including SSI. 3. Seismic Analysis of Bridges Including SSI. 4. References. 5. Appendix.
2: Related Topics and Applications. 6. BEM Techniques for Nonlocal Elasticity1. Introduction. 2. Nonlocal Elasticity. 3. Thermodynamic Framework. 4. Boundary-Value Problem. 5. Hu Washizu Principle Extended to Nonlocal Elasticity. 6. A Boundary/Domain Stationarity Principle. 7. Symmetric Galerkin BEM Technique. 8.Nonsymmetric Galerkin BEM Technique. 9. Conclusions. 10. References. 7. BEM for Crack Dynamics; M.H. Aliabadi. 1. Introduction. 2. Time Domain Method (TDM). 3. Laplace Transform Method (LTM). 4. Dual Reciprocity Method (DRM). 5. Cauchy and Hadamard Principle-Value Integrals. 6. Numerical Examples. 7. Conclusions. 8. References. 8. Symmetric Galerkin Boundary Element Analysuis in Three-Dimensional Linear-Elastic Fracture Mechanics; A. Frangi, et al. 1. Introduction. 2. Formulation. 3. Numerical Evaluation of Weakly Singular Integrals. 4. Numerical Examples. 5. Concluding Remarks. 6. References. 7. Surface Rotors. 8. Transformations and Equivalence of Domains. 9. Equivalence of D^{c}_{2}(eta˜_{1}, eta_{2}, eta_{1}, eta_{2}), and D^{c}_{1}eta_{1}, eta˜_{2}, eta˜_{1}, eta_{2}). 9. Numerical Simulation of Seismic Wave Scattering and Site Amplification, with Application to the Mexico City Valley; L.C. Wrobel, et al. Abstract. 1. Introduction. 2. Wave Propagation in a Half-Space. 3. BEM Formulation for SH Waves. 4. BEM Formulation for P, SV and Rayleigh Waves. 5. Observed Amplification in the Mexico City Valley. 6. One-Dimensional Response in the Mexico City Valley. 7. Two-Dimensional Modelling Using the BEM. Dimensional Modelling Using the BEM. 8. Conclusions. 9. References. Index.