Developments in Boundary Element Methods

Developments in Boundary Element Methods
Author: P.K. Banerjee
Publisher: CRC Press
Total Pages: 299
Release: 2005-12-07
Genre: Architecture
ISBN: 0203974506

Nine detailed survey chapters by different authors present a number of applications of BEMs.

The Boundary Element Method, Volume 2

The Boundary Element Method, Volume 2
Author: M. H. Aliabadi
Publisher: John Wiley & Sons
Total Pages: 614
Release: 2002-04-29
Genre: Technology & Engineering
ISBN: 9780470842980

The boundary element method (BEM) is a modern numerical technique, which has enjoyed increasing popularity over the last two decades, and is now an established alternative to traditional computational methods of engineering analysis. The main advantage of the BEM is its unique ability to provide a complete solution in terms of boundary values only, with substantial savings in modelling effort. This two-volume book set is designed to provide the readers with a comprehensive and up-to-date account of the boundary element method and its application to solving engineering problems. Each volume is a self-contained book including a substantial amount of material not previously covered by other text books on the subject. Volume 1 covers applications to heat transfer, acoustics, electrochemistry and fluid mechanics problems, while volume 2 concentrates on solids and structures, describing applications to elasticity, plasticity, elastodynamics, fracture mechanics and contact analysis. The early chapters are designed as a teaching text for final year undergraduate courses. Both volumes reflect the experience of the authors over a period of more than twenty years of boundary element research. This volume, Applications in Solids and Structures, provides a comprehensive presentation of the BEM from fundamentals to advanced engineering applications and encompasses: Elasticity for 2D, 3D and Plates and Shells Non-linear, Transient and Thermal Stress Analysis Crack Growth and Multi-body Contact Mechanics Sensitivity Analysis and Optimisation Analysis of Assembled Structures. An important feature of this book is the in-depth presentation of BEM formulations in all the above fields, including detailed discussions of the basic theory, numerical algorithms and where possible simple examples are included, as well as test results for practical engineering applications of the method. Although most of the methods presented are the latest developments in the field, the author has included some simple techniques, which are helpful in understanding the computer implementation of BEM. Another notable feature is the comprehensive presentation of a new generation of boundary elements known as the Dual Boundary Element Method. Written by an internationally recognised authority in the field, this is essential reading for postgraduates, researchers and practitioners in Aerospace, Mechanical and Civil Engineering and Applied Mathematics.

Boundary Element Methods

Boundary Element Methods
Author: Q. Du
Publisher: Elsevier
Total Pages: 429
Release: 2014-05-23
Genre: Science
ISBN: 1483297942

Significant developments in the boundary element method during the last two decades have made it a powerful alternative to the domain-type numerical methods of solution such as the finite element method. The advances made in the BEM are more or less due to the innovation of efficient computational techniques by introducing boundary elements for discretization of the boundary integral equations resulting from the so-called direct formulation. BEM has therefore become an efficient tool for optimal design and other inverse problems. These proceedings include discussion of the applications of BEM in mechanical engineering and the principles that have developed to make it an increasingly useful method of problem solving.

The Boundary Element Method, Volume 1

The Boundary Element Method, Volume 1
Author: L. C. Wrobel
Publisher: John Wiley & Sons
Total Pages: 480
Release: 2002-04-22
Genre: Technology & Engineering
ISBN: 9780471720393

The boundary element method (BEM) is a modern numerical techniquewhich has enjoyed increasing popularity over the last two decades,and is now an established alternative to traditional computationalmethods of engineering analysis. The main advantage of the BEM isits unique ability to provide a complete solution in terms ofboundary values only, with substantial savings in modelling effort. This two-volume book set is designed to provide the readers with acomprehensive and up-to-date account of the boundary element methodand its application to solving engineering problems. Each volume isa self-contained book including a substantial amount of materialnot previously covered by other text books on the subject. Volume 1covers applications to heat transfer, acoustics, electrochemistryand fluid mechanics problems, while volume 2 concentrates on solidsand structures, describing applications to elasticity, plasticity,elastodynamics, fracture mechanics and contact analysis. The earlychapters are designed as a teaching text for final yearundergraduate courses. Both volumes reflect the experience of theauthors over a period of more than twenty years of boundary element research. This volume, Applications in Thermo-Fluids and Acoustics, provides acomprehensive presentation of the BEM from fundamentals to advancedengineering applications and encompasses: Steady and transient heat transfer Potential and viscous fluid flows Frequency and time-domain acoustics Corrosion and other electrochemical problems. A unique feature of this book is an in-depth presentation of BEMformulations in all the above fields, including detaileddiscussions of the basic theory, numerical algorithms and practicalengineering applications of the method. Written by an internationally recognised authority in the field,this is essential reading for postgraduates, researchers andpractitioners in civil, mechanical and chemical engineering andapplied mathematics.

Boundary Element Advances in Solid Mechanics

Boundary Element Advances in Solid Mechanics
Author: Dimitri Beskos
Publisher: Springer
Total Pages: 311
Release: 2014-05-04
Genre: Technology & Engineering
ISBN: 3709127904

This volume presents and discusses recent advances in boundary element methods and their solid mechanics applications. It illustrates these methods in their latest forms, developed during the last five to ten years, and demonstrates their advantages in solving a wide range of solid mechanics problems.

Linear and Non-Linear Deformations of Elastic Solids

Linear and Non-Linear Deformations of Elastic Solids
Author: Arabinda Roy
Publisher: CRC Press
Total Pages: 407
Release: 2019-12-06
Genre: Technology & Engineering
ISBN: 1000758885

Linear and Non-Linear Deformations of Elastic Solids aims to compile the advances in the field of linear and non-linear elasticity through discussion of advanced topics. Broadly classified into two parts, it includes crack, contact, scattering and wave propagation in linear elastic solids and bending vibration, stability in non-linear elastic solids supported by MATLAB examples. This book is aimed at graduate students and researchers in applied mathematics, solid mechanics, applied mechanics, structural mechanics and includes comprehensive discussion of related analytical/numerical methods.

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.

Linear and Nonlinear Crack Growth Using Boundary Elements

Linear and Nonlinear Crack Growth Using Boundary Elements
Author: Adrián Cisilino
Publisher: Computational Mechanics
Total Pages: 216
Release: 2000
Genre: Mathematics
ISBN:

This text provides a three dimensional Boundary Element Method for the analysis of fatigue crack problems in both linear and nonlinear fracture mechanics. Special attention is devoted to the use of singular and near-singular integrals.

Fracture and Damage of Composites

Fracture and Damage of Composites
Author: M. H. Aliabadi
Publisher: WIT Press
Total Pages: 305
Release: 2006
Genre: Technology & Engineering
ISBN: 1853126691

Covering various aspects of dynamic fractures this book contains state-of-the-art contributions from leading scientists in the field of crack dynamics.