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The Inclusion-Based Boundary Element Method (iBEM)

The Inclusion-Based Boundary Element Method (iBEM)
A Book

by Gan Song,Huiming Yin,Liangliang Zhang

  • Publisher : Academic Press
  • Release : 2020-11-15
  • Pages : 350
  • ISBN : 9780128193846
  • Language : En, Es, Fr & De
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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

Boundary Element Methods

Boundary Element Methods
A Book

by Stefan A. Sauter,Christoph Schwab

  • Publisher : Springer Science & Business Media
  • Release : 2010-11-01
  • Pages : 561
  • ISBN : 9783540680932
  • Language : En, Es, Fr & De
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This work presents a thorough treatment of boundary element methods (BEM) for solving strongly elliptic boundary integral equations obtained from boundary reduction of elliptic boundary value problems in $\mathbb{R}^3$. The book is self-contained, the prerequisites on elliptic partial differential and integral equations being presented in Chapters 2 and 3. The main focus is on the development, analysis, and implementation of Galerkin boundary element methods, which is one of the most flexible and robust numerical discretization methods for integral equations. For the efficient realization of the Galerkin BEM, it is essential to replace time-consuming steps in the numerical solution process with fast algorithms. In Chapters 5-9 these methods are developed, analyzed, and formulated in an algorithmic way.

Introduction to the Micromechanics of Composite Materials

Introduction to the Micromechanics of Composite Materials
A Book

by Huiming Yin,Yingtao Zhao

  • Publisher : CRC Press
  • Release : 2016-01-27
  • Pages : 224
  • ISBN : 1498707300
  • Language : En, Es, Fr & De
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Presents Concepts That Can Be Used in Design, Processing, Testing, and Control of Composite Materials Introduction to the Micromechanics of Composite Materials weaves together the basic concepts, mathematical fundamentals, and formulations of micromechanics into a systemic approach for understanding and modeling the effective material behavior of composite materials. As various emerging composite materials have been increasingly used in civil, mechanical, biomedical, and materials engineering, this textbook provides students with a fundamental understanding of the mechanical behavior of composite materials and prepares them for further research and development work with new composite materials. Students will understand from reading this book: The basic concepts of micromechanics such as RVE, eigenstrain, inclusions, and in homogeneities How to master the constitutive law of general composite material How to use the tensorial indicial notation to formulate the Eshelby problem Common homogenization methods The content is organized in accordance with a rigorous course. It covers micromechanics theory, the microstructure of materials, homogenization, and constitutive models of different types of composite materials, and it enables students to interpret and predict the effective mechanical properties of existing and emerging composites through microstructure-based modeling and design. As a prerequisite, students should already understand the concepts of boundary value problems in solid mechanics. Introduction to the Micromechanics of Composite Materials is suitable for senior undergraduate and graduate students.

Boundary Element Methods in Applied Mechanics

Boundary Element Methods in Applied Mechanics
Proceedings of the First Joint Japan/US Symposium on Boundary Element Methods, University of Tokyo, Tokyo, Japan, 3-6 October 1988

by Masataka Tanaka,Thomas A. Cruse

  • Publisher : Pergamon
  • Release : 1988
  • Pages : 556
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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This Proceedings features a broad range of computational mechanics papers on both solid and fluid mechanics as well as electromagnetics, acoustics, heat transfer and other interdisciplinary problems. Topics covered include theoretical developments, numerical analysis, intelligent and adaptive solution strategies and practical applications.

Fast Multipole Boundary Element Method

Fast Multipole Boundary Element Method
Theory and Applications in Engineering

by Yijun Liu

  • Publisher : Cambridge University Press
  • Release : 2009-08-24
  • Pages : 329
  • ISBN : 113947944X
  • Language : En, Es, Fr & De
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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
Principles and Applications

by Q. Du,Mana Tanaka

  • Publisher : Elsevier
  • Release : 2014-05-23
  • Pages : 428
  • ISBN : 1483297942
  • Language : En, Es, Fr & De
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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 Trefftz Finite and Boundary Element Method

The Trefftz Finite and Boundary Element Method
A Book

by Qing-Hua Qin

  • Publisher : WIT Press
  • Release : 2000
  • Pages : 282
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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This text provides an accessible and up-to-date introduction to the Trefftz finite element method. The author's main emphasis is on fundamental concepts and the development of different Trefftz element formulations for stress analysis of various elastic problems. The book is a reference for postgraduate students, researchers, scientists and professional engineers in computational mechanics, structural design, and applied mathematics.

The Boundary Element Method, Volume 1

The Boundary Element Method, Volume 1
Applications in Thermo-Fluids and Acoustics

by L. C. Wrobel

  • Publisher : John Wiley & Sons
  • Release : 2002-04-22
  • Pages : 468
  • ISBN : 9780471720393
  • Language : En, Es, Fr & De
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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 Methods

Boundary Element Methods
Current Research in Japan and China : Proceedings of the Fifth Japan-China Symposium on Boundary Element Methods, Sapporo, Japan, 1-4 June 1993

by Masataka Tanaka,Qinghua Du,Toshihisa Honma

  • Publisher : Elsevier Science Limited
  • Release : 1993
  • Pages : 384
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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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.

Boundary Elements and Other Mesh Reduction Methods XXXIII

Boundary Elements and Other Mesh Reduction Methods XXXIII
A Book

by C. A. Brebbia,Viktor Popov,V. Popov

  • Publisher : WIT Press
  • Release : 2011-01-01
  • Pages : 345
  • ISBN : 1845645421
  • Language : En, Es, Fr & De
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The Wessex Institute of Technology has been convening conferences on the Boundary Element Method since 1978. The now-annual conference series is recognised internationally as the premiere forum for sharing the latest advances on the boundary element method and other meshless techniques and their applications, which continue to evolve and grow in importance. The papers presented at the latest conference will cover topics such as Advanced meshless and mesh reduction methods; Heat and mass transfer; Electrical engineering and electromagnetics; Fluid flow; Advanced formulations; Computational techniques; Advanced structural applications; Dynamics and vibrations; Damage mechanics and fracture; Material characterisation; Financial engineering applications; Stochastic modelling; and Emerging applications..

Applied Mechanics Reviews

Applied Mechanics Reviews
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1993
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Computational Materials Science

Computational Materials Science
A Book

by Feng Xiong

  • Publisher : Trans Tech Publications Ltd
  • Release : 2011-07-04
  • Pages : 2370
  • ISBN : 3038136115
  • Language : En, Es, Fr & De
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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).

Green's Function and Boundary Elements of Multifield Materials

Green's Function and Boundary Elements of Multifield Materials
A Book

by Qing-Hua Qin

  • Publisher : Elsevier
  • Release : 2010-07-07
  • Pages : 266
  • ISBN : 9780080478067
  • Language : En, Es, Fr & De
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Green's Function and Boundary Elements of Multifield Materials contains a comprehensive treatment of multifield materials under coupled thermal, magnetic, electric, and mechanical loads. Its easy-to-understand text clarifies some of the most advanced techniques for deriving Green's function and the related boundary element formulation of magnetoelectroelastic materials: Radon transform, potential function approach, Fourier transform. Our hope in preparing this book is to attract interested readers and researchers to a new field that continues to provide fascinating and technologically important challenges. You will benefit from the authors' thorough coverage of general principles for each topic, followed by detailed mathematical derivation and worked examples as well as tables and figures where appropriate. In-depth explanations of the concept of Green's function Coupled thermo-magneto-electro-elastic analysis Detailed mathematical derivation for Green's functions

Computational Mechanics ’95

Computational Mechanics ’95
Volume 1 and Volume 2 Theory and Applications

by S.N. Atluri,G. Yagawa,Thomas A. Cruse

  • Publisher : Springer Science & Business Media
  • Release : 2013-11-11
  • Pages : 3161
  • ISBN : 3642796540
  • Language : En, Es, Fr & De
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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.

Optimization and Decision Support Systems in Civil Engineering

Optimization and Decision Support Systems in Civil Engineering
A Book

by A. B. Templeman

  • Publisher : CRC Press
  • Release : 1991
  • Pages : 92
  • ISBN : 9782881248238
  • Language : En, Es, Fr & De
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Automatic Object Recognition

Automatic Object Recognition
3-5 April 1991, Orlando, Florida

by Firooz A. Sadjadi,Society of Photo-optical Instrumentation Engineers

  • Publisher : Society of Photo Optical
  • Release : 1991
  • Pages : 475
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Automatic Object Recognition

Automatic Object Recognition
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1991
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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The Boundary Element Method, Volume 1

The Boundary Element Method, Volume 1
Applications in Thermo-Fluids and Acoustics

by L. C. Wrobel

  • Publisher : John Wiley & Sons
  • Release : 2002-04-22
  • Pages : 468
  • ISBN : 9780471720393
  • Language : En, Es, Fr & De
GET BOOK

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 Isogeometric Boundary Element Method

The Isogeometric Boundary Element Method
A Book

by Gernot Beer,Benjamin Marussig,Christian Duenser

  • Publisher : Springer Nature
  • Release : 2019-09-21
  • Pages : 335
  • ISBN : 3030233391
  • Language : En, Es, Fr & De
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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.

The Boundary Element Method, Volume 2

The Boundary Element Method, Volume 2
Applications in Solids and Structures

by M. H. Aliabadi

  • Publisher : John Wiley & Sons
  • Release : 2002-04-29
  • Pages : 598
  • ISBN : 9780470842980
  • Language : En, Es, Fr & De
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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.