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

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The Inclusion Based Boundary Element Method iBEM Excerpt :

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

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The Inclusion Based Boundary Element Method iBEM Excerpt :

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 Isogeometric Boundary Element Method Book

The Isogeometric Boundary Element Method


  • Author : Gernot Beer
  • Publisher : Springer Nature
  • Release Date : 2019-09-21
  • Genre: Science
  • Pages : 335
  • ISBN 10 : 9783030233396

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The Isogeometric Boundary Element Method Excerpt :

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.

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

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Boundary Elements and Other Mesh Reduction Methods XXXVI Excerpt :

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

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Boundary Element Methods Excerpt :

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 Boundary Element Method  The Boundary Element Method Book

The Boundary Element Method The Boundary Element Method


  • Author : L. C. Wrobel
  • Publisher : Wiley
  • Release Date : 2002-06-14
  • Genre: Technology & Engineering
  • Pages : 1066
  • ISBN 10 : 0470841397

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The Boundary Element Method The Boundary Element Method Excerpt :

The boundary element method (BEM) is a modern numerical technique, which has enjoyed increasing popularity over the last two decades, and is now an established alternative to traditional computational methods of engineering analysis. The main advantage of the BEM is its unique ability to provide a complete solution in terms of boundary values only, with substantial savings in modelling effort. This two volume book set is designed to provide the readers with a comprehensive and up-to-date account of the boundary element method and its application to solving engineering problems. Each volume is a self-contained book including a substantial amount of material not previously covered by other text books on the subject. Volume 1 covers applications to heat transfer, acoustics, electrochemistry and fluid mechanics problems, while volume 2 concentrates on solids and structures, describing applications to elasticity, plasticity, elastodynamics, fracture mechanics and contact analysis. The early chapters are designed as a teaching text for final year undergraduate courses. Both volumes reflect the experience of the authors over a period of more than twenty years of boundary element research.

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

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Fast Multipole Boundary Element Method Excerpt :

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

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Flow Induced Alignment in Composite Materials Excerpt :

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

Introduction to the Micromechanics of Composite Materials Book

Introduction to the Micromechanics of Composite Materials


  • Author : Huiming Yin
  • Publisher : CRC Press
  • Release Date : 2016-01-27
  • Genre: Science
  • Pages : 224
  • ISBN 10 : 9781498707305

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Introduction to the Micromechanics of Composite Materials Excerpt :

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.

Boundary Element Methods Book

Boundary Element Methods


  • Author : Q. Du
  • Publisher : Elsevier
  • Release Date : 2014-05-23
  • Genre: Technology & Engineering
  • Pages : 428
  • ISBN 10 : 9781483297941

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Boundary Element Methods Excerpt :

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 in Engineering and Sciences Book

Boundary Element Methods in Engineering and Sciences


  • Author : M. H. Aliabadi
  • Publisher : World Scientific
  • Release Date : 2011
  • Genre: Technology & Engineering
  • Pages : 412
  • ISBN 10 : 9781848165793

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Boundary Element Methods in Engineering and Sciences Excerpt :

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.

Composites with Micro  and Nano Structure Book

Composites with Micro and Nano Structure


  • Author : Vladimír Kompiš
  • Publisher : Springer Science & Business Media
  • Release Date : 2010-02-18
  • Genre: Technology & Engineering
  • Pages : 302
  • ISBN 10 : 9781402069758

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Composites with Micro and Nano Structure Excerpt :

This book presents new results in the knowledge and simulations for composite nano-materials. It includes selected, extended papers presented in the thematic ECCOMAS conference on Composites with Micro- and Nano-Structure (CMNS) – Computational Modelling and Experiments. It contains atomistic and continuum numerical methods and experimental validation for composite materials reinforced with particles or fibres, porous materials, homogenization and other important topics.

Advances in Boundary Element   Meshless Techniques XX Book

Advances in Boundary Element Meshless Techniques XX


  • Author : I. Benedetti A. Milazzo M.H. Aliabadi
  • Publisher : Engineering Conferences
  • Release Date : 2019-07-01
  • Genre: Computers
  • Pages : 237
  • ISBN 10 : 9780957673168

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Advances in Boundary Element Meshless Techniques XX Excerpt :

Proceedings of the 20th International Conference. The Conferences on Boundary Element and Meshless Techniques are devoted to fostering the continued involvement of the research community in identifying new problem areas, mathematical procedures, innovative applications, and novel solution techniques as applied to the Boundary Element Method and Meshless Techniques. Previous conferences devoted to were held in London, UK (1999), New Jersey, USA (2001), Beijing, China (2002), Granada, Spain (2003), Lisbon, Portugal (2004), Montreal, Canada (2005), Paris, France (2006), Naples, Italy (2007), Seville, Spain (2008), Athens, Greece (2009), Berlin, Germany (2010), Brasilia, Brazil (2011), Prague, Czech Republic (2012), Paris, France (2013), Florence, Italy (2014), Valencia, Spain (2015), Ankara, Turkey (2016), Bucharest, Romania (2017) and Malaga Spain (2018).