The Inclusion Based Boundary Element Method  iBEM  Book

The Inclusion Based Boundary Element Method iBEM


  • Author : Huiming Yin
  • Publisher : Academic Press
  • Release Date : 2022-05-01
  • Genre: Technology & Engineering
  • Pages : 354
  • ISBN 10 : 9780128193853
  • Total Read : 81
  • File Size : 16,5 Mb

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The 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  Book

The Inclusion Based Boundary Element Method iBEM


  • Author : Huiming Yin
  • Publisher : Elsevier
  • Release Date : 2022-04-21
  • Genre: Technology & Engineering
  • Pages : 354
  • ISBN 10 : 9780128193846
  • Total Read : 62
  • File Size : 14,6 Mb

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The 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 Boundary Element Method in Acoustics Book

The Boundary Element Method in Acoustics


  • Author : Stephen Kirkup
  • Publisher : Stephen Kirkup
  • Release Date : 1998
  • Genre: Acoustical engineering
  • Pages : 136
  • ISBN 10 : 0953403106
  • Total Read : 99
  • File Size : 20,6 Mb

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The Boundary Element Method in Acoustics Summary:

Boundary Elements and Other Mesh Reduction Methods XXXVI Book

Boundary Elements and Other Mesh Reduction Methods XXXVI


  • Author : X. W. Gao
  • Publisher : WIT Press
  • Release Date : 2013-12-11
  • Genre: Mathematics
  • Pages : 569
  • ISBN 10 : 9781845648411
  • Total Read : 95
  • File Size : 6,9 Mb

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Boundary Elements and Other Mesh Reduction Methods XXXVI Summary:

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.

Boundary Element Methods Book

Boundary Element Methods


  • Author : Stefan A. Sauter
  • Publisher : Springer Science & Business Media
  • Release Date : 2010-11-01
  • Genre: Mathematics
  • Pages : 561
  • ISBN 10 : 9783540680932
  • Total Read : 82
  • File Size : 10,8 Mb

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Boundary Element Methods Summary:

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.

The Isogeometric Boundary Element Method Book

The Isogeometric Boundary Element Method


  • Author : Gernot Beer
  • Publisher : Unknown
  • Release Date : 2020
  • Genre: Boundary element methods
  • Pages : 335
  • ISBN 10 : 3030233413
  • Total Read : 61
  • File Size : 12,9 Mb

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The Isogeometric Boundary Element Method Summary:

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.

Fast Multipole Boundary Element Method Book

Fast Multipole Boundary Element Method


  • Author : Yijun Liu
  • Publisher : Cambridge University Press
  • Release Date : 2009-08-24
  • Genre: Technology & Engineering
  • Pages : null
  • ISBN 10 : 9781139479448
  • Total Read : 97
  • File Size : 10,5 Mb

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Fast Multipole Boundary Element Method Summary:

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.

Flow Induced Alignment in Composite Materials Book

Flow Induced Alignment in Composite Materials


  • Author : T.D. Papthanasiou
  • Publisher : Woodhead Publishing
  • Release Date : 2021-10-20
  • Genre: Technology & Engineering
  • Pages : 398
  • ISBN 10 : 9780128185759
  • Total Read : 89
  • File Size : 13,6 Mb

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Flow Induced Alignment in Composite Materials Summary:

The purpose of aligning short fibers in a fiber-reinforced material is to improve the mechanical properties of the resulting composite. Aligning the fibers, generally in a preferred direction, allows them to contribute as much as possible to reinforcing the material. The first edition of this book detailed, in a single volume, the science, processing, applications, characterization and properties of composite materials reinforced with short fibers that have been orientated in a preferred direction by flows arising during processing. The technology of fiber-reinforced composites is continually evolving and this new edition provides timely and much needed information about this important class of engineering materials. Each of the original chapters have been brought fully up-to-date and new developments such as: the advent of nano-composites and the issues relating to their alignment; the wider use of long-fiber composites and the appearance of models able to capture their orientation during flow; the wider use of flows in micro-channels in the context of composites fabrication; and the increase in computing power, which has made relevant simulations (especially coupling flow kinematics to fiber content and orientation) much easier to perform are all covered in detail. The book will be an essential up-to-date reference resource for materials scientists, students, and engineers who are working in the relevant areas of particulate composites, short fiber-reinforced composites or nanocomposites. Presents recent progress on flow-induced alignment, modelling and design of fiber and particulate filled polymer composites Discusses important advances such as alignment of CNTs in polymer nanocomposites and molecular alignment of polymers induced by the injection molding process in the presence of fillers such as short fibers Presents fiber interaction/diffusion modelling and also the fiber flexure/breakage models