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The Inclusion Based Boundary Element Method iBEM

The Inclusion Based Boundary Element Method  iBEM
  • Author : Gan Song
  • Publsiher : Academic Press
  • Release : 15 November 2020
  • ISBN : 9780128193846
  • Pages : 350 pages
  • Rating : 4/5 from 21 ratings
GET THIS BOOKThe Inclusion Based Boundary Element Method iBEM

Summary:
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 Inclusion-Based Boundary Element Method (iBEM)

The Inclusion-Based Boundary Element Method (iBEM)
  • Author : Gan Song,Huiming Yin,Liangliang Zhang
  • Publisher : Academic Press
  • Release : 15 November 2020
GET THIS BOOKThe Inclusion-Based Boundary Element Method (iBEM)

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


Boundary Element Methods

Boundary Element Methods
  • Author : Stefan A. Sauter,Christoph Schwab
  • Publisher : Springer Science & Business Media
  • Release : 01 November 2010
GET THIS BOOKBoundary Element Methods

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


Boundary Elements and Other Mesh Reduction Methods XXXVI

Boundary Elements and Other Mesh Reduction Methods XXXVI
  • Author : X. W. Gao,A. H-D. Cheng,C. A. Brebbia
  • Publisher : WIT Press
  • Release : 11 December 2013
GET THIS BOOKBoundary Elements and Other Mesh Reduction Methods XXXVI

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.


Fast Multipole Boundary Element Method

Fast Multipole Boundary Element Method
  • Author : Yijun Liu
  • Publisher : Cambridge University Press
  • Release : 24 August 2009
GET THIS BOOKFast Multipole Boundary Element Method

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


Boundary Element Methods

Boundary Element Methods
  • Author : Q. Du,Mana Tanaka
  • Publisher : Elsevier
  • Release : 23 May 2014
GET THIS BOOKBoundary Element Methods

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.


Boundary Element Methods

Boundary Element Methods
  • Author : Masataka Tanaka,Qinghua Du,Toshihisa Honma
  • Publisher : Elsevier Science Limited
  • Release : 14 April 1993
GET THIS BOOKBoundary Element Methods

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


Boundary Integral Equations in Elasticity Theory

Boundary Integral Equations in Elasticity Theory
  • Author : A.M. Linkov
  • Publisher : Springer Science & Business Media
  • Release : 11 November 2013
GET THIS BOOKBoundary Integral Equations in Elasticity Theory

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


Boundary Element Methods in Applied Mechanics

Boundary Element Methods in Applied Mechanics
  • Author : Masataka Tanaka,Thomas A. Cruse
  • Publisher : Pergamon
  • Release : 14 April 1988
GET THIS BOOKBoundary Element Methods in Applied Mechanics

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.


The Complex Variable Boundary Element Method

The Complex Variable Boundary Element Method
  • Author : T. V. Hromadka
  • Publisher : Springer
  • Release : 01 November 1984
GET THIS BOOKThe Complex Variable Boundary Element Method

The Complex Variable Boundary Element Method or CVBEM is a generalization of the Cauchy integral formula into a boundary integral equation method or BIEM. This generalization allows an immediate and extremely valuable transfer of the modeling techniques used in real variable boundary integral equation methods (or boundary element methods) to the CVBEM. Consequently, modeling techniques for dissimilar materials, anisotropic materials, and time advancement, can be directly applied without modification to the CVBEM. An extremely useful feature offered by the CVBEM


A Beginner's Course in Boundary Element Methods

A Beginner's Course in Boundary Element Methods
  • Author : Whye-Teong Ang
  • Publisher : Universal-Publishers
  • Release : 01 August 2007
GET THIS BOOKA Beginner's Course in Boundary Element Methods

This is a course in boundary element methods for the absolute beginners. Basic concepts are carefully explained through the use of progressively more complicated boundary value problems in engineering and physical sciences. The readers are assumed to have prior basic knowledge of vector calculus (covering topics such as line, surface and volume integrals and the various integral theorems), ordinary and partial differential equations, complex variables, and computer programming. Electronic ebook edition available at Powells.com. Click on Powells logo to


Green's Function and Boundary Elements of Multifield Materials

Green's Function and Boundary Elements of Multifield Materials
  • Author : Qing-Hua Qin
  • Publisher : Elsevier
  • Release : 07 July 2010
GET THIS BOOKGreen's Function and Boundary Elements of Multifield Materials

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


The Trefftz Finite and Boundary Element Method

The Trefftz Finite and Boundary Element Method
  • Author : Qing-Hua Qin
  • Publisher : WIT Press
  • Release : 14 April 2021
GET THIS BOOKThe Trefftz Finite and Boundary Element Method

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
  • Author : L. C. Wrobel
  • Publisher : John Wiley & Sons
  • Release : 22 April 2002
GET THIS BOOKThe Boundary Element Method, Volume 1

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



Computational Mechanics ’95

Computational Mechanics ’95
  • Author : S.N. Atluri,G. Yagawa,Thomas A. Cruse
  • Publisher : Springer Science & Business Media
  • Release : 11 November 2013
GET THIS BOOKComputational Mechanics ’95

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