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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

The Boundary Element Method with Programming

The Boundary Element Method with Programming Book
Author : Gernot Beer,Ian Smith,Christian Duenser
Publisher : Springer Science & Business Media
Release : 2008-09-03
ISBN : 3211715762
Language : En, Es, Fr & De

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Book Description :

This thorough yet understandable introduction to the boundary element method presents an attractive alternative to the finite element method. It not only explains the theory but also presents the implementation of the theory into computer code, the code in FORTRAN 95 can be freely downloaded. The book also addresses the issue of efficiently using parallel processing hardware in order to considerably speed up the computations for large systems. The applications range from problems of heat and fluid flow to static and dynamic elasto-plastic problems in continuum mechanics.

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.

The Boundary Element Method in Geophysical Survey

The Boundary Element Method in Geophysical Survey Book
Author : Balgaisha Mukanova,Igor Modin
Publisher : Springer
Release : 2018-02-12
ISBN : 331972908X
Language : En, Es, Fr & De

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Book Description :

This volume is devoted to the application of the integral equations method (IEM) and boundary elements method (BEM) to problems involving the sounding of geological media using direct current (DC). Adaptive mesh generation algorithms and numerical methods for solving a system of integral equations are discussed. Integral equations for the media, which contains piecewise linear contact boundaries, immersed local inclusions, and subsurface relief, are derived and solved numerically. Both 2.5D and 3D models with ground surface relief are considered. For 2D conductivity distributions, the influence of the relief on the interpretation of results is shown. Search solutions of the direct problem with ground surface relief are compared using the appropriate interpretation of results based on different inversion programs.

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.

Boundary Element Methods

Boundary Element Methods Book
Author : Masataka Tanaka,Qinghua Du,Toshihisa Honma
Publisher : Elsevier Science Limited
Release : 1993
ISBN : 0987650XXX
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.

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.

Introduction to the Micromechanics of Composite Materials

Introduction to the Micromechanics of Composite Materials Book
Author : Huiming Yin,Yingtao Zhao
Publisher : CRC Press
Release : 2016-01-27
ISBN : 1498707300
Language : En, Es, Fr & De

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Book Description :

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.

A Boundary Spectral Method for Elasticity Problems with Spherical Inhomogeneities

A Boundary Spectral Method for Elasticity Problems with Spherical Inhomogeneities Book
Author : Hamid Reza Sadraie
Publisher : Unknown
Release : 2006
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download A Boundary Spectral Method for Elasticity Problems with Spherical Inhomogeneities book written by Hamid Reza Sadraie, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

The Trefftz Finite and Boundary Element Method

The Trefftz Finite and Boundary Element Method Book
Author : Qing-Hua Qin
Publisher : WIT Press
Release : 2000
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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.

An Adaptive Isogeometric Boundary Element Method for Predicting the Effective Thermal Conductivity of Steady State Heterogeneity

An Adaptive Isogeometric Boundary Element Method for Predicting the Effective Thermal Conductivity of Steady State Heterogeneity Book
Author : Anonim
Publisher : Unknown
Release : 2018
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Highlights: An adaptive IGBEM is presented to predict effective thermal conductivity of steady state heterogeneities. The GSCS model with complex shapes can be easily handled and more accurate effective heat conductivities can be obtained. Both the regular and the nearly-singular integrals in the adaptive IGBEM are calculated easily and effectively. Abstract: This work presents an adaptive isogeometric boundary element method (IGBEM) for the calculation of effective thermal conductivity of steady state heterogeneities. Based on the generalized self-consistent scheme (GSCS), some integral equation formulations which only contain the unknown temperatures on the interface are used to calculate the effective thermal conductivity of steady state composites. In our approach, the geometries of the inclusion and original matrix are described using NURBS basis functions. The advantage over currently used methods is that no geometrical errors exist in the analysis process. And the geometry data in the isogeometric GSCS model can be taken directly from CAD programs. In addition, based on the upper bound of the relative error of the Gaussian quadrature formula, an adaptive integration method is used to compute the boundary integrals, which makes the computation of the integrals easier and more efficient at optimal computational cost. The comparisons between the results obtained by the present method and the existing counterparts are carried out and the good agreement can be observed.

Boundary Integral Equations in Elasticity Theory

Boundary Integral Equations in Elasticity Theory Book
Author : A.M. Linkov
Publisher : Springer Science & Business Media
Release : 2013-11-11
ISBN : 9401599149
Language : En, Es, Fr & De

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Book Description :

by the author to the English edition The book aims to present a powerful new tool of computational mechanics, complex variable boundary integral equations (CV-BIE). The book is conceived as a continuation of the classical monograph by N. I. Muskhelishvili into the computer era. Two years have passed since the Russian edition of the present book. We have seen growing interest in numerical simulation of media with internal structure, and have evidence of the potential of the new methods. The evidence was especially clear in problems relating to multiple grains, blocks, cracks, inclusions and voids. This prompted me, when preparing the English edition, to place more emphasis on such topics. The other change was inspired by Professor Graham Gladwell. It was he who urged me to abridge the chain of formulae and to increase the number of examples. Now the reader will find more examples showing the potential and advantages of the analysis. The first chapter of the book contains a simple exposition of the theory of real variable potentials, including the hypersingular potential and the hypersingular equations. This makes up for the absence of such exposition in current textbooks, and reveals important links between the real variable BIE and the complex variable counterparts. The chapter may also help readers who are learning or lecturing on the boundary element method.

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.

The Boundary Element Method in Engineering

The Boundary Element Method in Engineering Book
Author : Adib A. Becker
Publisher : McGraw-Hill Companies
Release : 1992
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download The Boundary Element Method in Engineering book written by Adib A. Becker, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Advanced Formulations in Boundary Element Methods

Advanced Formulations in Boundary Element Methods Book
Author : M. H. Aliabadi,C. A. Brebbia
Publisher : Elsevier Applied Science
Release : 1993
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Advanced Formulations in Boundary Element Methods book written by M. H. Aliabadi,C. A. Brebbia, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Frequency Domain Hybrid Finite Element Methods for Electromagnetics

Frequency Domain Hybrid Finite Element Methods for Electromagnetics Book
Author : John Leonidas Volakis,Kubilay Sertel,Brian C. Usner
Publisher : Morgan & Claypool Publishers
Release : 2006
ISBN : 1598290800
Language : En, Es, Fr & De

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Book Description :

This book provides a brief overview of the popular Finite Element Method (FEM) and its hybrid versions for electromagnetics with applications to radar scattering, antennas and arrays, guided structures, microwave components, frequency selective surfaces, periodic media, and RF materials characterizations and related topics. It starts by presenting concepts based on Hilbert and Sobolev spaces as well as Curl and Divergence spaces for generating matrices, useful in all engineering simulation methods. It then proceeds to present applications of the finite element and finite element-boundary integral methods for scattering and radiation. Applications to periodic media, metamaterials and bandgap structures are also included. The hybrid volume integral equation method for high contrast dielectrics and is presented for the first time. Another unique feature of the book is the inclusion of design optimization techniques and their integration within commercial numerical analysis packages for shape and material design. To aid the reader with the method's utility, an entire chapter is devoted to two-dimensional problems. The book can be considered as an update on the latest developments since the publication of our earlier book (Finite Element Method for Electromagnetics, IEEE Press, 1998). The latter is certainly complementary companion to this one.

Boundary Element Methods

Boundary Element Methods Book
Author : IABEM (Organization). Symposium,N. Nishimura
Publisher : Springer Verlag
Release : 1992
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Boundary Element Methods book written by IABEM (Organization). Symposium,N. Nishimura, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Boundary Elements XXI

Boundary Elements XXI Book
Author : Wessex Institute of Technology
Publisher : Wit Pr/Computational Mechanics
Release : 1999
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Covering the latest developments in the field of boundary elements, this work contains a selection of papers presented at the 21st International Conference on the topic. The 70 papers have been contributed by researchers from many countries and are divided under various headings.

Automatic Object Recognition

Automatic Object Recognition Book
Author : Firooz A. Sadjadi,Society of Photo-optical Instrumentation Engineers
Publisher : Society of Photo Optical
Release : 1991
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Automatic Object Recognition book written by Firooz A. Sadjadi,Society of Photo-optical Instrumentation Engineers, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.