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The Inclusion Based Boundary Element Method

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The Inclusion Based Boundary Element Method iBEM

The Inclusion Based Boundary Element Method  iBEM  Book
Author : Gan Song,Huiming Yin,Liangliang Zhang
Publisher : Academic Press
Release : 2020-11-01
ISBN : 0128193859
Language : En, Es, Fr & De

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Book Description :

The Inclusion-Based Boundary Element Method (iBEM) is an innovative numerical method for the study of the multi-physical and mechanical behaviour of composite materials, linear elasticity, potential flow or Stokes fluid dynamics. It combines the basic ideas of Eshelby’s Equivalent Inclusion Method (EIM) in classic micromechanics and the Boundary Element Method (BEM) in computational mechanics. The book starts by explaining the application and extension of the EIM from elastic problems to the Stokes fluid, and potential flow problems for a multiphase material system in the infinite domain. It also shows how switching the Green’s function for infinite domain solutions to semi-infinite domain solutions allows this method to solve semi-infinite domain problems. A thorough examination of particle-particle interaction and particle-boundary interaction exposes the limitation of the classic micromechanics based on Eshelby’s solution for one particle embedded in the infinite domain, and demonstrates the necessity to consider the particle interactions and boundary effects for a composite containing a fairly high volume fraction of the dispersed materials. Starting by covering the fundamentals required to understand the method and going on to describe everything needed to apply it to a variety of practical contexts, this book is the ideal guide to this innovative numerical method for students, researchers, and engineers. The multidisciplinary approach used in this book, drawing on computational methods as well as micromechanics, helps to produce a computationally efficient solution to the multi-inclusion problem The iBEM can serve as an efficient tool to conduct virtual experiments for composite materials with various geometry and boundary or loading conditions Includes case studies with detailed examples of numerical implementation

Inclusion Boundary Reconstruction and Sensitivity Analysis in Electrical Impedance Tomography

Inclusion Boundary Reconstruction and Sensitivity Analysis in Electrical Impedance Tomography Book
Author : N.A
Publisher :
Release : 2018
ISBN :
Language : En, Es, Fr & De

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Book Description :

Abstract: Reconstruction of conductive inclusions in a homogeneous background medium is commonly seen in electrical impedance tomography (EIT). One of the methods to deal with the inclusion reconstruction problems is the shape-based method. With prior knowledge of conductivity of target inclusions, the boundary of inclusions is parameterized by several shape coefficients and recovered from EIT measurements. This paper presents a shape-based inclusion reconstruction method and its numerical implementation with boundary element method (BEM). A shape perturbation method (SPM) is proposed to calculate the shape sensitivity in EIT. To evaluate the accuracy of the presented method, a series of numerical tests are conducted. The characteristics of EIT shape sensitivity are analysed. Some factors influencing the reconstruction performance are discussed.

Fast Multipole Boundary Element Method

Fast Multipole Boundary Element Method Book
Author : Yijun Liu
Publisher : Cambridge University Press
Release : 2009-08-24
ISBN : 113947944X
Language : En, Es, Fr & De

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Book Description :

The fast multipole method is one of the most important algorithms in computing developed in the 20th century. Along with the fast multipole method, the boundary element method (BEM) has also emerged as a powerful method for modeling large-scale problems. BEM models with millions of unknowns on the boundary can now be solved on desktop computers using the fast multipole BEM. This is the first book on the fast multipole BEM, which brings together the classical theories in BEM formulations and the recent development of the fast multipole method. Two- and three-dimensional potential, elastostatic, Stokes flow, and acoustic wave problems are covered, supplemented with exercise problems and computer source codes. Applications in modeling nanocomposite materials, bio-materials, fuel cells, acoustic waves, and image-based simulations are demonstrated to show the potential of the fast multipole BEM. Enables students, researchers, and engineers to learn the BEM and fast multipole method from a single source.

Boundary Element Methods

Boundary Element Methods Book
Author : Q. Du,Mana Tanaka
Publisher : Elsevier
Release : 2014-05-23
ISBN : 1483297942
Language : En, Es, Fr & De

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Book Description :

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 Complex Variable Boundary Element Method in Engineering Analysis

The Complex Variable Boundary Element Method in Engineering Analysis Book
Author : Theodore V. Hromadka,Chintu Lai
Publisher : Springer Science & Business Media
Release : 2012-12-06
ISBN : 1461246601
Language : En, Es, Fr & De

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Book Description :

The Complex Variable Boundary Element Method (CVBEM) has emerged as a new and effective modeling method in the field of computational mechanics and hydraulics. The CVBEM is a generalization of the Cauchy integral formula into a boundary integral equation method. The model ing approach by boundary integration, the use of complex variables for two-dimensional potential problems, and the adaptability to now-popular microcomputers are among the factors that make this technique easy to learn, simple to operate, practical for modeling, and efficient in simulating various physical processes. Many of the CVBEM concepts and notions may be derived from the Analytic Function Method (AFM) presented in van der Veer (1978). The AFM served as the starting point for the generalization of the CVBEM theory which was developed during the first author's research engagement (1979 through 1981) at the University of California, Irvine. The growth and expansion of the CVBEM were subsequently nurtured at the U. S. Geological Survey, where keen interest and much activity in numerical modeling and computational mechanics-and-hydraulics are prevalent. Inclusion of the CVBEM research program in Survey's computational-hydraulics projects, brings the modeling researcher more uniform aspects of numerical mathematics in engineering and scientific problems, not to mention its (CVBEM) practicality and usefulness in the hydrologic investigations. This book is intended to introduce the CVBEM to engineers and scientists with its basic theory, underlying mathematics, computer algorithm, error analysis schemes, model adjustment procedures, and application examples.

Boundary Elements and Other Mesh Reduction Methods XXXVI

Boundary Elements and Other Mesh Reduction Methods XXXVI Book
Author : X. W. Gao,A. H-D. Cheng,C. A. Brebbia
Publisher : WIT Press
Release : 2013-12-11
ISBN : 1845648412
Language : En, Es, Fr & De

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Book Description :

The Conference on Boundary Elements and Mesh Reduction Methods (BEM/MRM) is recognised as the international forum for the latest advances in these techniques and their applications in science and engineering. Launched in 1978 the Conference continues to attract original contributions and has become the forum for their rapid dissemination throughout the international scientific community. Practically all new boundary element ideas have first appeared in the proceedings of these meetings.

Recent Advances in Boundary Element Methods

Recent Advances in Boundary Element Methods Book
Author : George Manolis,Demosthenes Polyzos
Publisher : Springer Science & Business Media
Release : 2009-05-12
ISBN : 1402097107
Language : En, Es, Fr & De

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Book Description :

This volume, dedicated to Professor Dimitri Beskos, contains contributions from leading researchers in Europe, the USA, Japan and elsewhere, and addresses the needs of the computational mechanics research community in terms of timely information on boundary integral equation-based methods and techniques applied to a variety of fields. The contributors are well-known scientists, who also happen to be friends, collaborators as past students of Dimitri Beskos. Dimitri is one the BEM pioneers who started his career at the University of Minnesota in Minneapolis, USA, in the 1970s and is now with the University of Patras in Patras, Greece. The book is essentially a collection of both original and review articles on contemporary Boundary Element Methods (BEM) as well as on the newer Mesh Reduction Methods (MRM), covering a variety of research topics. Close to forty contributions compose an over-500 page volume that is rich in detail and wide in terms of breadth of coverage of the subject of integral equation formulations and solutions in both solid and fluid mechanics.

The Boundary Element Method Volume 1

The Boundary Element Method  Volume 1 Book
Author : L. C. Wrobel
Publisher : John Wiley & Sons
Release : 2002-04-22
ISBN : 9780471720393
Language : En, Es, Fr & De

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Book Description :

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.

The Boundary Element Method Volume 2

The Boundary Element Method  Volume 2 Book
Author : M. H. Aliabadi
Publisher : John Wiley & Sons
Release : 2002-04-29
ISBN : 9780470842980
Language : En, Es, Fr & De

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Book Description :

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.

The Isogeometric Boundary Element Method

The Isogeometric Boundary Element Method Book
Author : Gernot Beer,Benjamin Marussig,Christian Duenser
Publisher : Springer Nature
Release : 2019-09-21
ISBN : 3030233391
Language : En, Es, Fr & De

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Book Description :

This book discusses the introduction of isogeometric technology to the boundary element method (BEM) in order to establish an improved link between simulation and computer aided design (CAD) that does not require mesh generation. In the isogeometric BEM, non-uniform rational B-splines replace the Lagrange polynomials used in conventional BEM. This may seem a trivial exercise, but if implemented rigorously, it has profound implications for the programming, resulting in software that is extremely user friendly and efficient. The BEM is ideally suited for linking with CAD, as both rely on the definition of objects by boundary representation. The book shows how the isogeometric philosophy can be implemented and how its benefits can be maximised with a minimum of user effort. Using several examples, ranging from potential problems to elasticity, it demonstrates that the isogeometric approach results in a drastic reduction in the number of unknowns and an increase in the quality of the results. In some cases even exact solutions without refinement are possible. The book also presents a number of practical applications, demonstrating that the development is not only of academic interest. It then elegantly addresses heterogeneous and non-linear problems using isogeometric concepts, and tests them on several examples, including a severely non-linear problem in viscous flow. The book makes a significant contribution towards a seamless integration of CAD and simulation, which eliminates the need for tedious mesh generation and provides high-quality results with minimum user intervention and computing.

Computational Mechanics 95

Computational Mechanics    95 Book
Author : S.N. Atluri,G. Yagawa,Thomas A. Cruse
Publisher : Springer Science & Business Media
Release : 2013-11-11
ISBN : 3642796540
Language : En, Es, Fr & De

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Book Description :

AI!, in the earlier conferences (Tokyo, 1986; Atlanta, 1988, Melbourne, 1991; and Hong Kong, 1992) the response to the call for presentations at ICES-95 in Hawaii has been overwhelming. A very careful screening of the extended abstracts resulted in about 500 paper being accepted for presentation. Out of these, written versions of about 480 papers reached the conference secretariat in Atlanta in time for inclusion in these proceedings. The topics covered at ICES-95 range over the broadest spectrum of computational engineering science. The editors thank the international scientific committee, for their advice and encouragement in making ICES-95 a successful scientific event. Special thanks are expressed to the International Association for Boundary Elements Methods for hosting IABEM-95 in conjunction with ICES-95. The editors here express their deepest gratitude to Ms. Stacy Morgan for her careful handling of a myriad of details of ICES-95, often times under severe time constraints. The editors hope that the readers of this proceedings will find a kaleidoscopic view of computational engineering in the year 1995, as practiced in various parts of the world. Satya N. Atluri Atlanta, Georgia, USA Genki Yagawa Tokyo,Japan Thomas A. Cruse Nashville, TN, USA Organizing Committee Professor Genki Yagawa, University of Tokyo, Japan, Chair Professor Satya Atluri, Georgia Institute of Technology, U.S.A.

Symmetric Galerkin Boundary Element Method

Symmetric Galerkin Boundary Element Method Book
Author : Alok Sutradhar,Glaucio Paulino,Leonard J. Gray
Publisher : Springer Science & Business Media
Release : 2008-09-26
ISBN : 3540687726
Language : En, Es, Fr & De

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Book Description :

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.

Boundary Element Methods

Boundary Element Methods Book
Author : Masataka Tanaka,Qinghua Du,Toshihisa Honma
Publisher : Elsevier Science Limited
Release : 1993
ISBN :
Language : En, Es, Fr & De

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Book Description :

The remarkable developments in boundary element research in recent decades have been mainly attributable to the innovation of efficient computational techniques by introducing boundary elements for discretization of the boundary integral equations. Owing to the many important breakthroughs in this domain, BEM has been widely recognized as one of the main techniques in computer-aided engineering (CAE). BEM is an efficient tool for optimal shape design and other topical inverse problems. Further advances continue to be made in innovating and developing more efficient solution procedures based on BEM for both linear and nonlinear problems. The impact of advanced computer technology, including down-sizing and networks as well as super and parallel computers, is a major influence factor in the further extensions and applications of BEM. The most important topics in BEM are described here by well-known researchers in the field. The 38 papers are characterized by a combination of tutorial and state of the art aspects.

Anisotropic Elastic Plates

Anisotropic Elastic Plates Book
Author : Chyanbin Hwu
Publisher : Springer Science & Business Media
Release : 2010-05-25
ISBN : 1441959149
Language : En, Es, Fr & De

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Book Description :

As structural elements, anisotropic elastic plates find wide applications in modern technology. The plates here are considered to be subjected to not only inplane load but also transverse load. In other words, both plane and plate bending problems as well as the stretching-bending coupling problems are all explained in this book. In addition to the introduction of the theory of anisotropic elasticity, several important subjects have are discussed in this book such as interfaces, cracks, holes, inclusions, contact problems, piezoelectric materials, thermoelastic problems and boundary element analysis.

Lignocellulosic Polymer Composites

Lignocellulosic Polymer Composites Book
Author : Vijay Kumar Thakur
Publisher : John Wiley & Sons
Release : 2014-10-30
ISBN : 1118773985
Language : En, Es, Fr & De

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Book Description :

The book presents emerging economic and environmentally friendly lignocellulosic polymer composites materials that are free from side effects studied in the traditional synthetic materials. This book brings together panels of highly-accomplished leading experts in the field of lignocellulosic polymers & composites from academia, government, as well as research institutions across the globe and encompasses basic studies including preparation, characterization, properties and theory of polymers along with applications addressing new emerging topics of novel issues. Provide basic information and clear understanding of the present state and the growing utility of lignocellulosic materials from different natural resources Includes contributions from world-renowned experts on lignocellulosic polymer composites and discusses the combination of different kinds of lignocellulosic materials from natural resources Discusses the fundamental properties and applications of lignocellulosic polymers in comparison to traditional synthetic materials Explores various processing/ mechanical/ physic-chemical aspects of lignocellulosic polymer composites

Computational Materials Science

Computational Materials Science Book
Author : Feng Xiong
Publisher : Trans Tech Publications Ltd
Release : 2011-07-04
ISBN : 3038136115
Language : En, Es, Fr & De

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Book Description :

The goal of this collection was to gather together up-to-date knowledge from researchers in academia and industry, as well as end-uses, and also give them the opportunity to share ideas, problems and solutions related to the divers aspects of Computational Materials Science, Mechanical, Industrial and Manufacturing Engineering. The result is an up-to-date survey which should be essential reading for those interested in thesetopics. Volume is indexed by Thomson Reuters CPCI-S (WoS).

Boundary Elements and Other Mesh Reduction Methods XXXV

Boundary Elements and Other Mesh Reduction Methods XXXV Book
Author : C. A. Brebbia
Publisher : WIT Press
Release : 2013
ISBN : 1845647246
Language : En, Es, Fr & De

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Book Description :

The Boundary Element Method, as well as other meshless techniques continue to evolve and grow in importance, with new applications developed every year. The proceedings of the Wessex Institute of Technology 's conferences on the Boundary Element Method, first convened in 1978 and now held annually, are recognised internationally as the record of the latest advances on the Method and other meshless techniques and their applications. The papers presented at the 35th conference cover topics such as Advanced meshless and mesh reduction methods; Advanced formulations; Computational methods; Stochastic modelling; Emerging applications; Solid mechanics applications; Dynamics and vibrations; Damage mechanics and fracture; Material characterisation; Fluid flow modelling; Electrical engineering and electromagnetics; Heat and mass transfer.

Advances in Boundary Element Methods

Advances in Boundary Element Methods Book
Author : B. H. V. Topping
Publisher : Hyperion Books
Release : 1996
ISBN :
Language : En, Es, Fr & De

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Book Description :

Includes a selection of papers that were presented at the Third International Conference on Computational Structures Technology, which was held from 21-23 August 1996, at Budapest, Hungary.