The Scaled Boundary Finite Element Method

The Scaled Boundary Finite Element Method
Author: John P. Wolf
Publisher: John Wiley & Sons
Total Pages: 398
Release: 2003-03-14
Genre: Technology & Engineering
ISBN: 9780471486824

A novel computational procedure called the scaled boundary finite-element method is described which combines the advantages of the finite-element and boundary-element methods : Of the finite-element method that no fundamental solution is required and thus expanding the scope of application, for instance to anisotropic material without an increase in complexity and that singular integrals are avoided and that symmetry of the results is automatically satisfied. Of the boundary-element method that the spatial dimension is reduced by one as only the boundary is discretized with surface finite elements, reducing the data preparation and computational efforts, that the boundary conditions at infinity are satisfied exactly and that no approximation other than that of the surface finite elements on the boundary is introduced. In addition, the scaled boundary finite-element method presents appealing features of its own : an analytical solution inside the domain is achieved, permitting for instance accurate stress intensity factors to be determined directly and no spatial discretization of certain free and fixed boundaries and interfaces between different materials is required. In addition, the scaled boundary finite-element method combines the advantages of the analytical and numerical approaches. In the directions parallel to the boundary, where the behaviour is, in general, smooth, the weighted-residual approximation of finite elements applies, leading to convergence in the finite-element sense. In the third (radial) direction, the procedure is analytical, permitting e.g. stress-intensity factors to be determined directly based on their definition or the boundary conditions at infinity to be satisfied exactly. In a nutshell, the scaled boundary finite-element method is a semi-analytical fundamental-solution-less boundary-element method based on finite elements. The best of both worlds is achieved in two ways: with respect to the analytical and numerical methods and with respect to the finite-element and boundary-element methods within the numerical procedures. The book serves two goals: Part I is an elementary text, without any prerequisites, a primer, but which using a simple model problem still covers all aspects of the method and Part II presents a detailed derivation of the general case of statics, elastodynamics and diffusion.

Boundary Element Methods for Soil-Structure Interaction

Boundary Element Methods for Soil-Structure Interaction
Author: W.S. Hall
Publisher: Springer Science & Business Media
Total Pages: 429
Release: 2007-05-08
Genre: Technology & Engineering
ISBN: 0306483874

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.

The Scaled Boundary Finite Element Method

The Scaled Boundary Finite Element Method
Author: Chongmin Song
Publisher: John Wiley & Sons
Total Pages: 775
Release: 2018-06-19
Genre: Science
ISBN: 1119388457

An informative look at the theory, computer implementation, and application of the scaled boundary finite element method This reliable resource, complete with MATLAB, is an easy-to-understand introduction to the fundamental principles of the scaled boundary finite element method. It establishes the theory of the scaled boundary finite element method systematically as a general numerical procedure, providing the reader with a sound knowledge to expand the applications of this method to a broader scope. The book also presents the applications of the scaled boundary finite element to illustrate its salient features and potentials. The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation covers the static and dynamic stress analysis of solids in two and three dimensions. The relevant concepts, theory and modelling issues of the scaled boundary finite element method are discussed and the unique features of the method are highlighted. The applications in computational fracture mechanics are detailed with numerical examples. A unified mesh generation procedure based on quadtree/octree algorithm is described. It also presents examples of fully automatic stress analysis of geometric models in NURBS, STL and digital images. Written in lucid and easy to understand language by the co-inventor of the scaled boundary element method Provides MATLAB as an integral part of the book with the code cross-referenced in the text and the use of the code illustrated by examples Presents new developments in the scaled boundary finite element method with illustrative examples so that readers can appreciate the significant features and potentials of this novel method—especially in emerging technologies such as 3D printing, virtual reality, and digital image-based analysis The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation is an ideal book for researchers, software developers, numerical analysts, and postgraduate students in many fields of engineering and science.

The Application of Stress-wave Theory to Piles

The Application of Stress-wave Theory to Piles
Author: Jaime Alberto dos Santos
Publisher: IOS Press
Total Pages: 772
Release: 2008
Genre: Science
ISBN: 9781586039097

"This volume contains 101 papers presented at the 8th International Conference on the Application of Stress Wave Theory to Piles, held in Lisbon, Portugal in 2008." "It is divided in 14 chapters according to the conference themes: Wave mechanics applied to pile engineering; Relationship between static resistance to driving and long-term static soil resistance; Case histories involving measurementand analysis of stress waves; Dynamic monitoring of driven piles; Dynamic soil-pile interaction models - numerical and physical modeling; High-strain dynamic test; Low-strain dynamic test; Rapid-load test; Monitoring and analysis of vibratory driven piles; Correlation of dynamic and static load tests; Quality assurance of deep foundations using dynamic methods; Incorporation of dynamic testing into design codes and testing standards; Ground vibrations induced by pile motions; Dynamic measurements in ground field testing." "This conference aims to contribute to a better and more efficient professional interaction between specialized contractors, designers and academicians. By joining the contribution of all of them it was possible to elucidate the today's state-of-the-art in science, technology and practice in the application of stress wave theory to piles."--BOOK JACKET.

Strong Motion Instrumentation for Civil Engineering Structures

Strong Motion Instrumentation for Civil Engineering Structures
Author: Mustafa Ă–zder Erdik
Publisher: Springer Science & Business Media
Total Pages: 597
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 9401006962

Most of the existing strong motion instrumentation on civil engineering structures is installed and operated as federal, state, university, industry or private applications, in many cases operated as a closed system. This hampers co-operation and data exchange, hampering the acquisition of strong motion and structural data, sometimes even within a single country. There is a powerful need to inform engineers of existing strong motion data and to improve the accessibility of data worldwide. This book will play a role in fulfilling such a need by disseminating state-of-the art information, technology and developments in the strong motion instrumentation of civil engineering structures. The subject has direct implications for the earthquake response of structures, improvements in design for earthquake resistance, and hazard mitigation. Readership: Researchers in earthquake engineering, engineers designing earthquake resistant structures, and producers of strong motion recording equipment.

Soil-Structure Interaction: Numerical Analysis and Modelling

Soil-Structure Interaction: Numerical Analysis and Modelling
Author: J.W. Bull
Publisher: CRC Press
Total Pages: 742
Release: 2002-11-01
Genre: Architecture
ISBN: 1482271397

This book describes how a number of different methods of analysis and modelling, including the boundary element method, the finite element method, and a range of classical methods, are used to answer some of the questions associated with soil-structure interaction.

Surface Waves in Geomechanics: Direct and Inverse Modelling for Soils and Rocks

Surface Waves in Geomechanics: Direct and Inverse Modelling for Soils and Rocks
Author: Carlo G. Lai
Publisher: Springer Science & Business Media
Total Pages: 390
Release: 2007-03-23
Genre: Science
ISBN: 3211380655

Theories of surface waves develop since the end of XIX century and many fundamental problems like existence, phase and group velocities, attenuation (quality factor), mode conversion, etc. have been, in part successfully, solved within the framework of such simple models as ideal fluids^ or linear elasticity. However, a sufficiently complete presentation of this subject, particularly for solids, is still missing in the literature. The sole exception is the book of I. A. Viktorov^ which contains an extensive discussion of fundamental properties of surface waves in homogeneous and stratified linear elastic solids with particular emphasis on contributions of Russian scientists. Unfortunately, the book has never been translated to English and its Russian version is also hardly available. Practical applications of surface waves develop intensively since a much shorter period of time than theories even though the motivation of discoverers of surface waves such as Lord Rayleigh stems from their appearance in geophysics and seismology. Nowadays the growing interest in practical applications of surface waves stem from the following two main factors: surface waves are ideal for developing relatively cheap and convenient methods of nondestructive testing of various systems spanning from nanomaterials (e.g.

Seismic Wave Propagation in Non-Homogeneous Elastic Media by Boundary Elements

Seismic Wave Propagation in Non-Homogeneous Elastic Media by Boundary Elements
Author: George D. Manolis
Publisher: Springer
Total Pages: 301
Release: 2016-09-23
Genre: Technology & Engineering
ISBN: 3319452061

This book focuses on the mathematical potential and computational efficiency of the Boundary Element Method (BEM) for modeling seismic wave propagation in either continuous or discrete inhomogeneous elastic/viscoelastic, isotropic/anisotropic media containing multiple cavities, cracks, inclusions and surface topography. BEM models may take into account the entire seismic wave path from the seismic source through the geological deposits all the way up to the local site under consideration. The general presentation of the theoretical basis of elastodynamics for inhomogeneous and heterogeneous continua in the first part is followed by the analytical derivation of fundamental solutions and Green's functions for the governing field equations by the usage of Fourier and Radon transforms. The numerical implementation of the BEM is for antiplane in the second part as well as for plane strain boundary value problems in the third part. Verification studies and parametric analysis appear throughout the book, as do both recent references and seminal ones from the past. Since the background of the authors is in solid mechanics and mathematical physics, the presented BEM formulations are valid for many areas such as civil engineering, geophysics, material science and all others concerning elastic wave propagation through inhomogeneous and heterogeneous media. The material presented in this book is suitable for self-study. The book is written at a level suitable for advanced undergraduates or beginning graduate students in solid mechanics, computational mechanics and fracture mechanics.

Wave 2002: Wave Propagation - Moving Load - Vibration Reduction

Wave 2002: Wave Propagation - Moving Load - Vibration Reduction
Author: Nawawi Chouw
Publisher: CRC Press
Total Pages: 409
Release: 2021-07-29
Genre: Technology & Engineering
ISBN: 1000446794

Detailing the proceedings of the Wave 2002 workshop at Okayama University in Japan, this collection of eighteen peer-reviewed papers concerns the issue of the ground vibration and noise caused by construction activities, explosions in the ground, or high-speed trains. Providing key information for engineers, researchers, scientists, practitioners, teachers and students working in the field of structural dynamics or soil dynamics, this text also includes a useful address list in the appendix to enable readers to gather further information if required.