The Inclusion-Based Boundary Element Method Books

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The Inclusion Based Boundary Element Method iBEM


The Inclusion Based Boundary Element Method  iBEM
  • Author : Gan Song
  • Publisher : Academic Press
  • Release : 2020-11-15
  • ISBN : 0128193840
  • 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

The Inclusion Based Boundary Element Method iBEM


The Inclusion Based Boundary Element Method  iBEM
  • Author : Gan Song
  • Publisher : Academic Press
  • Release : 2020-11-01
  • ISBN : 9780128193853
  • 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
  • Author : S. Kobayashi
  • Publisher : Springer Science & Business Media
  • Release : 2013-11-11
  • ISBN : 9783662061534
  • Language : En, Es, Fr & De
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The Boundary Element Methods (BEM) has become one of the most efficient tools for solving various kinds of problems in engineering science. The International Association for Boundary Element Methods (IABEM) was established in order to promote and facilitate the exchange of scientific ideas related to the theory and applications of boundary element methods. The aim of this symposium is to provide a forum for researchers in boundary element methods and boundary-integral formulations in general to present contemporary concepts and techniques leading to the advancement of capabilities and understanding of this com putational methodology. The topics covered in this symposium include mathematical and computational aspects, applications to solid mechanics, fluid mechanics, acoustics, electromagnetics, heat transfer, optimization, control, inverse problems and other interdisciplinary problems. Papers deal ing with the coupling of the boundary element method with other computational methods are also included. The editors hope that this volume presents some innovative techniques and useful knowl edge for the development of the boundary element methods. February, 1992 S. Kobayashi N. Nishimura Contents Abe, K.

Fast Multipole Boundary Element Method


Fast Multipole Boundary Element Method
  • Author : Yijun Liu
  • Publisher : Cambridge University Press
  • Release : 2009-08-24
  • ISBN : 9781139479448
  • 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
  • Author : Masataka Tanaka
  • Publisher : Elsevier Science Limited
  • Release : 1993
  • ISBN : STANFORD:36105012367210
  • 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.