Boundary Element Analysis

Boundary Element Analysis
Author: Mohammed Ameen
Publisher: CRC Press
Total Pages: 288
Release: 2001
Genre: Mathematics
ISBN: 9780849310010

Boundary Element Analysis: Theory and Programming introduces the theory behind the boundary element method and its computer applications. The author uses Cartesian tensor notation throughout the book and includes the steps involved in deriving many of the equations. The text includes computer programs in Fortran 77 for elastostatic, plate bending, and free and forced vibration problems with detailed descriptions of the code.

Boundary Elements and Other Mesh Reduction Methods XXIX

Boundary Elements and Other Mesh Reduction Methods XXIX
Author: C. A. Brebbia
Publisher: WIT Press
Total Pages: 353
Release: 2007
Genre: Mathematics
ISBN: 1845640764

This book contains the edited proceedings of the 29th World Conference on Boundary Elements and Other Mesh Reduction Methods, an internationally recognised forum for the dissemination of the latest advances on Mesh Reduction Techniques and their applications in sciences and engineering. The range of topics included in this volume are as follows: Advances in Mesh Reduction; Meshless Methods Techniques; Dual Reciprocity Method, Modified Trefftz Method; Fundamental Solution Method; Damage Mechanics and Fracture; Advanced Stress Analysis and Structural Applications; Plates and Shells; Dynamics and Vibrations; Material Characterisation; Acoustics; Heat and mass Transfer; Fluid Mechanics Applications; Wave Propagation; Inverse Problems and Computational Techniques.

Numerical Fracture Mechanics

Numerical Fracture Mechanics
Author: M.H. Aliabadi
Publisher: Springer Science & Business Media
Total Pages: 296
Release: 1991-07-31
Genre: Science
ISBN: 9780792311751

The purpose of this book is to present, describe and demonstrate the use of numerical methods in solving crack problems in fracture mechanics. The text concentrates, to a large extent, on the application of the Boundary Element Method (BEM) to fracture mechanics, although an up-to-date account of recent advances in other numerical methods such as the Finite Element Method is also presented. The book is an integrated presentation of modem numerical fracture mechanics, it contains a compilation of the work of many researchers as well as accounting for some of authors' most recent work on the subject. It is hoped that this book will bridge the gap that exists between specialist books on theoretical fracture mechanics on one hand, and texts on numerical methods on the other. Although most of the methods presented are the latest developments in the field of numerical fracture mechanics, the authors have also included some simple techniques which are essential for understanding the physical principles that govern crack problems in general. Different numerical techniques are described in detail and where possible simple examples are included, as well as test results for more complicated problems. The book consists of six chapters. The first chapter initially describes the historical development of theoretical fracture mechanics, before proceeding to present the basic concepts such as energy balance, stress intensity factors, residual strength and fatigue crack growth as well as briefly describing the importance of stress intensity factors in corrosion and residual stress cracking.

Boundary Element Analysis of Viscous Flow

Boundary Element Analysis of Viscous Flow
Author: Koichi Kitagawa
Publisher: Springer Science & Business Media
Total Pages: 148
Release: 2013-03-08
Genre: Science
ISBN: 3642840299

In recent years, the performance of digital computers has been improved by the rapid development of electronics at remarkable speed. In addition, substantial research has been carried out in developing numerical analysis techniques. Nowadays, a variety of problems in the engineering and scientific fields can be solved by using not only super computers but also personal computers. After the first book titled "Boundary Element" was published by Brebbia in 1978, the boundary element method (BEM) has been recognized as a powerful numerical technique which has some advantages over the finite difference method (FDM) and finite element method (FEM). A great amount of research has been carried out on the applications of BEM to various problems. The numerical analysis of fluid mechanics and heat transfer problems plays a key role in analysing some phenomena and it has become recognized as a new research field called "Computational Fluid Dynamics". In partic ular, the analysis of viscous flow including thermal convection phenomena is one of the most important problems in engineering fields. The FDM and FEM have been generally .applied to solve these problems because of non singularities of governing equations.

Slope Analysis Using Boundary Elements

Slope Analysis Using Boundary Elements
Author: Yansheng Jiang
Publisher: Springer Science & Business Media
Total Pages: 184
Release: 2013-03-09
Genre: Science
ISBN: 3642839185

The aim of this book is to provide a new angle on the analysis of slope stability with the Boundary Element Method. The main advantages of BEM are the reduction of the dimensionality of the problem to be solved and accurate selective calculation of internal stresses. This makes it possible, as shown in the book, to develop the algorithms of slip surface analysis of slope more accurate, more rigorous and more easy to be used than in the conventional limit equilibrium methods. The full elastoplastic analysis of slope is also investigated. Besides, the interested reader can find a detailed study of Melan's fundamental solution such as its displacements, its corresponding Galerkin tensor and the treatment of body forces in the half-plan. The basic theory of BEM is outlined in the book so that undergraduate and graduate students of civil engineering, mining engineering and engineering geology can read it without difficulty.

Boundary Element Methods

Boundary Element Methods
Author: Carlos A. Brebbia
Publisher: Springer Science & Business Media
Total Pages: 638
Release: 2013-11-11
Genre: Science
ISBN: 3662112701

Advanced Numerical Simulation Methods

Advanced Numerical Simulation Methods
Author: Gernot Beer
Publisher: CRC Press
Total Pages: 342
Release: 2015-07-27
Genre: Mathematics
ISBN: 1315766310

This entertaining introduction to advanced numerical modeling aims to lead the reader on a journey towards theholy grail of numerical simulation, i.e. one without the requirement of mesh generation, that takes data directly from CAD programs. This hands-on book emphasizes implementation and examples of programming in a higher level language are given. Written for users of simulation software, so they can understand the benefits of this new technology and demand progress from a somewhat conservative industry. Written for software developers, so they can see that this is a technology with a big future and written for researchers, in the hope that it will attract more people to work in this field.

Fourier BEM

Fourier BEM
Author: Fabian M.E. Duddeck
Publisher: Springer Science & Business Media
Total Pages: 178
Release: 2013-06-26
Genre: Mathematics
ISBN: 3540456260

Like FEM, the Boundary Element Method (BEM) provides a general numerical tool for the solution of complex engineering problems. In the last decades, the range of its applications has remarkably been enlarged. Therefore dynamic and nonlinear problems can be tackled. However they still demand an explicit expression of a fundamental solution, which is only known in simple cases. In this respect, the present book proposes an alternative BEM-formulation based on the Fourier transform, which can be applied to almost all cases relevant in engineering mechanics. The basic principle is presented for the heat equation. Applications are taken from solid mechanics (e.g. poroelasticity, thermoelasticity). Transient and stationary examples are given as well as linear and nonlinear. Completed with a mathematical and mechanical glossary, the book will serve as a comprehensive text book linking applied mathematics to real world engineering problems.

Symmetric Galerkin Boundary Element Method

Symmetric Galerkin Boundary Element Method
Author: Alok Sutradhar
Publisher: Springer Science & Business Media
Total Pages: 276
Release: 2008-09-26
Genre: Technology & Engineering
ISBN: 3540687726

Symmetric Galerkin Boundary Element Method presents an introduction as well as recent developments of this accurate, powerful, and versatile method. The formulation possesses the attractive feature of producing a symmetric coefficient matrix. In addition, the Galerkin approximation allows standard continuous elements to be used for evaluation of hypersingular integrals. FEATURES • Written in a form suitable for a graduate level textbook as well as a self-learning tutorial in the field. • Covers applications in two-dimensional and three-dimensional problems of potential theory and elasticity. Additional basic topics involve axisymmetry, multi-zone and interface formulations. More advanced topics include fluid flow (wave breaking over a sloping beach), non-homogeneous media, functionally graded materials (FGMs), anisotropic elasticity, error estimation, adaptivity, and fracture mechanics. • Presents integral equations as a basis for the formulation of general symmetric Galerkin boundary element methods and their corresponding numerical implementation. • Designed to convey effective unified procedures for the treatment of singular and hypersingular integrals that naturally arise in the method. Symbolic codes using Maple® for singular-type integrations are provided and discussed in detail. • The user-friendly adaptive computer code BEAN (Boundary Element ANalysis), fully written in Matlab®, is available as a companion to the text. The complete source code, including the graphical user-interface (GUI), can be downloaded from the web site http://www.ghpaulino.com/SGBEM_book. The source code can be used as the basis for building new applications, and should also function as an effective teaching tool. To facilitate the use of BEAN, a video tutorial and a library of practical examples are provided.