The 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 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

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  • Author : Gan Song
  • Publisher : Academic Press
  • Pages : 350 pages
  • ISBN : 9780128193846
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKThe Inclusion Based Boundary Element Method iBEM

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

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 : 01 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

Boundary Element Methods

Boundary Element Methods
  • Author : Masataka Tanaka,Qinghua Du,Toshihisa Honma
  • Publisher : Elsevier Science Limited
  • Release : 18 October 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 Element Methods

Boundary Element Methods
  • Author : S. Kobayashi,N. Nishimura
  • Publisher : Springer Science & Business Media
  • Release : 11 November 2013
GET THIS BOOKBoundary Element Methods

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

Introduction to the Micromechanics of Composite Materials

Introduction to the Micromechanics of Composite Materials
  • Author : Huiming Yin,Yingtao Zhao
  • Publisher : CRC Press
  • Release : 27 January 2016
GET THIS BOOKIntroduction to the Micromechanics of Composite Materials

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

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

Twenty-Second Symposium on Naval Hydrodynamics

Twenty-Second Symposium on Naval Hydrodynamics
  • Author : National Research Council,Naval Surface Warfare Center, Carderock Division,Office of Naval Research,Division on Engineering and Physical Sciences,Commission on Physical Sciences, Mathematics, and Applications,Naval Studies Board
  • Publisher : National Academies Press
  • Release : 02 February 2000
GET THIS BOOKTwenty-Second Symposium on Naval Hydrodynamics

The Twenty-Second Symposium on Naval Hydrodynamics was held in Washington, D.C., from August 9-14, 1998. It coincided with the 100th anniversary of the David Taylor Model Basin. This international symposium was organized jointly by the Office of Naval Research (Mechanics and Energy Conversion S&T Division), the National Research Council (Naval Studies Board), and the Naval Surface Warfare Center, Carderock Division (David Taylor Model Basin). This biennial symposium promotes the technical exchange of naval research developments of common interest to

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 in Engineering and Sciences

Boundary Element Methods in Engineering and Sciences
  • Author : M. H. Aliabadi,P. H. Wen
  • Publisher : World Scientific
  • Release : 18 October 2021
GET THIS BOOKBoundary Element Methods in Engineering and Sciences

The boundary element method (BEM), also known as the boundary integral equation method (BIEM), is a modern numerical technique. It is an established alternative to traditional computational methods of engineering analysis. This book provides a comprehensive account of the method and its application to problems in engineering and science.

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.

Nanotube Superfiber Materials

Nanotube Superfiber Materials
  • Author : Mark Schulz,Vesselin Shanov,Zhangzhang Yin
  • Publisher : William Andrew
  • Release : 16 September 2013
GET THIS BOOKNanotube Superfiber Materials

Nanotube Superfiber Materials refers to different forms of macroscale materials with unique properties constructed from carbon nanotubes. These materials include nanotube arrays, ribbons, scrolls, yarn, braid, and sheets. Nanotube materials are in the early stage of development and this is the first dedicated book on the subject. Transitioning from molecules to materials is a breakthrough that will positively impact almost all industries and areas of society. Key properties of superfiber materials are high flexibility and fatigue resistance, high energy absorption,

The Boundary Element Method

The Boundary Element Method
  • Author : A. Ali,C. Rajakumar
  • Publisher : CRC Press
  • Release : 15 August 2004
GET THIS BOOKThe Boundary Element Method

The Boundary Element Method, or BEM, is a powerful numerical analysis tool with particular advantages over other analytical methods. With research in this area increasing rapidly and more uses for the method appearing, this timely book provides a full chronological review of all techniques that have been proposed so far, covering not only the fundamentals of the BEM but also a wealth of information on related computational analysis techniques and formulations, and their applications in engineering, physics and mathematics. An

Advanced Methods of Fatigue Assessment

Advanced Methods of Fatigue Assessment
  • Author : Dieter Radaj,Michael Vormwald
  • Publisher : Springer Science & Business Media
  • Release : 13 May 2013
GET THIS BOOKAdvanced Methods of Fatigue Assessment

In five chapters, this volume presents recent developments in fatigue assessment. In the first chapter, a generalized Neuber concept of fictitious notch rounding is presented where the microstructural support factors depend on the notch opening angle besides the loading mode. The second chapter specifies the notch stress factor including the strain energy density and J-integral concept while the SED approach is applied to common fillet welded joints and to thin-sheet lap welded joints in the third chapter. The forth chapter