Boundary Element Methods for Soil Structure Interaction Soil Structure Interaction Twenty Five Years of Boundary Elements for Dynamic Soil Structure Interaction Computational Soil Structure Interaction The Semi Analytical Fundamental Solution Less Scaled Boundary Finite Element Method to Model Unbounded Soil BEM Analysis of SSI Problems in Random Media Soil Structure Interaction in Practice Related Topics and Applications BEM Techniques in Nonlocal Elasticity BEM for Crack Dynamics Symmetric Galerkin Boundary Element Analysis in Three Dimensional Linear Elastic Fracture Mechanics Numerical Simulation of Seismic Wave Scattering and Site Amplification with Application to the Mexico City Valley. W S HALL School of Computing and Mathematics University of Teesside Middlesbrough TS1 3BA UK G OLIVETO Division of Structural Engineering Department of Civil and Environmental Engineering University of Catania Viale A. Doria 6 95125 Catania Italy Soil Structure Interaction is a challenging multidisciplinary subject which covers several areas of Civil Engineering. Virtually every construction is connected to the ground and the interaction between the artefact and the foundation medium may affect considerably both the superstructure and the foundation soil. The Soil Structure Interaction problem has become an important feature of Structural Engineering with the advent of massive constructions on soft soils such as nuclear power plants concrete and earth dams. Buildings bridges tunnels and underground structures may also require particular attention to be given to the problems of Soil Structure Interaction. Dynamic Soil Structure Interaction is prominent in Earthquake Engineering problems. The complexity of the problem due also to its multidisciplinary nature and to the fact of having to consider bounded and unbounded media of different mechanical characteristics requires a numerical treatment for any application of engineering significance. The Boundary Element Method appears to be well suited to solve problems of Soil Structure Interaction through its ability to discretize only the boundaries of complex and often unbounded geometries. Non linear problems which often arise in Soil Structure Interaction may also be treated advantageously by a judicious mix of Boundary and Finite Element discretizations.