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The Inclusion-Based Boundary Element Method (iBEM)

The Inclusion-Based Boundary Element Method (iBEM)
A Book

by Gan Song,Huiming Yin,Liangliang Zhang

  • Publisher : Academic Press
  • Release : 2020-11-15
  • Pages : 350
  • ISBN : 9780128193846
  • 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
Current Research in Japan and China : Proceedings of the Fifth Japan-China Symposium on Boundary Element Methods, Sapporo, Japan, 1-4 June 1993

by Masataka Tanaka,Qinghua Du,Toshihisa Honma

  • Publisher : Elsevier Science Limited
  • Release : 1993
  • Pages : 384
  • ISBN : 9876543210XXX
  • 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.

Introduction to the Micromechanics of Composite Materials

Introduction to the Micromechanics of Composite Materials
A Book

by Huiming Yin,Yingtao Zhao

  • Publisher : CRC Press
  • Release : 2016-01-27
  • Pages : 224
  • ISBN : 1498707300
  • Language : En, Es, Fr & De
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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.

Fast Multipole Boundary Element Method

Fast Multipole Boundary Element Method
Theory and Applications in Engineering

by Yijun Liu

  • Publisher : Cambridge University Press
  • Release : 2009-08-24
  • Pages : 329
  • ISBN : 113947944X
  • 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
Principles and Applications

by Q. Du,Mana Tanaka

  • Publisher : Elsevier
  • Release : 2014-05-23
  • Pages : 428
  • ISBN : 1483297942
  • Language : En, Es, Fr & De
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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.

Green's Function and Boundary Elements of Multifield Materials

Green's Function and Boundary Elements of Multifield Materials
A Book

by Qing-Hua Qin

  • Publisher : Elsevier
  • Release : 2010-07-07
  • Pages : 266
  • ISBN : 9780080478067
  • Language : En, Es, Fr & De
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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 will benefit from the authors' thorough coverage of general principles for each topic, followed by detailed mathematical derivation and worked examples as well as tables and figures where appropriate. In-depth explanations of the concept of Green's function Coupled thermo-magneto-electro-elastic analysis Detailed mathematical derivation for Green's functions

Advanced Methods of Fatigue Assessment

Advanced Methods of Fatigue Assessment
A Book

by Dieter Radaj,Michael Vormwald

  • Publisher : Springer Science & Business Media
  • Release : 2013-05-13
  • Pages : 490
  • ISBN : 364230740X
  • Language : En, Es, Fr & De
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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 analyses elastic-plastic deformations in the near crack tip zone and discusses driving force parameters. The last chapter discusses thermomechanical fatigue, stress, and strain ranges.

Nanotube Superfiber Materials

Nanotube Superfiber Materials
Chapter 20. Multiscale Modeling of CNT Composites using Molecular Dynamics and the Boundary Element Method

by Y.J. Liu,D. Qian,P. He,N. Nishimura

  • Publisher : Elsevier Inc. Chapters
  • Release : 2013-09-16
  • Pages : 848
  • ISBN : 0128091126
  • Language : En, Es, Fr & De
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In this chapter, a hierarchical multiscale approach for modeling carbon nanotube (CNT) composites using molecular dynamics (MD) at the nanoscale and the boundary element method (BEM) at the microscale is presented. First, the current status in modeling and simulations of CNT composites is reviewed. Then, the basics of MD are introduced and the modeling techniques using MD at the nanoscale to extract the CNT properties and a cohesive interface model for CNT/polymer composites are discussed. Next, the boundary integral equations (BIEs) governing the displacement and stress fields in fiber-reinforced composite models at the microscale are presented. The BEM applied to solve the BIEs numerically is discussed and the fast multipole BEM techniques that are suitable for solving large-scale models are presented. In the numerical studies, parameters in the cohesive interface model are obtained by conducting CNT pull-out simulations with MD and these parameters are subsequently used in the BEM models of the CNT/polymer composites. Marked decreases of the estimated effective Young's moduli are observed using the new BEM models with the cohesive interface conditions as compared with earlier models with perfect bonding interface conditions. The developed BEM models combined with the MD can be a very useful tool for studying interface effects in CNT composites and for large-scale characterizations of such nanocomposites. Future efforts and directions in the research on modeling nanocomposites are offered to conclude this chapter.

Nanotube Superfiber Materials

Nanotube Superfiber Materials
Changing Engineering Design

by Mark Schulz,Vesselin Shanov,Zhangzhang Yin

  • Publisher : William Andrew
  • Release : 2013-09-16
  • Pages : 848
  • ISBN : 1455778648
  • Language : En, Es, Fr & De
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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, high strength, good electrical conductivity, high maximum current density, reduced skin and proximity effects, high thermal conductivity, lightweight, good field emission, piezoresistive, magnetoresistive, thermoelectric, and other properties. These properties will open up the door to dozens of applications including replacing copper wire for power conduction, EMI shielding, coax cable, carbon biofiber, bullet-proof vests, impact resistant glass, wearable antennas, biomedical microdevices, biosensors, self-sensing composites, supercapacitors, superinductors, hybrid superconductor, reinforced elastomers, nerve scaffolding, energy storage, and many others. The scope of the book covers three main areas: Part I: Processing; Part II: Properties; and Part III: Applications. Processing involves nanotube synthesis and macro scale material formation methods. Properties covers the mechanical, electrical, chemical and other properties of nanotubes and macroscale materials. Different approaches to growing high quality long nanotubes and spinning the nanotubes into yarn are explained in detail. The best ideas are collected from all around the world including commercial approaches. Applications of nanotube superfiber cover a huge field and provides a broad survey of uses. The book gives a broad overview starting from bioelectronics to carbon industrial machines. First book to explore the production and applications of macro-scale materials made from nano-scale particles. Sets out the processes for producing macro-scale materials from carbon nanotubes, and describes the unique properties of these materials Potential applications for CNT fiber/yarn include replacing copper wire for power conduction, EMI shielding, coax cable, carbon biofiber, bullet-proof vests, impact resistant glass, wearable antennas, biomedical microdevices, biosensors, self-sensing composites, supercapacitors, superinductors, hybrid superconductor, reinforced elastomers, nerve scaffolding, energy storage, and many others.

Boundary Element Methods in Engineering and Sciences

Boundary Element Methods in Engineering and Sciences
A Book

by M. H. Aliabadi,P. H. Wen

  • Publisher : World Scientific
  • Release : 2011
  • Pages : 402
  • ISBN : 184816579X
  • Language : En, Es, Fr & De
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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

by X. W. Gao,A. H-D. Cheng,C. A. Brebbia

  • Publisher : WIT Press
  • Release : 2013-12-11
  • Pages : 568
  • ISBN : 1845648412
  • Language : En, Es, Fr & De
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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.

Composites with Micro- and Nano-Structure

Composites with Micro- and Nano-Structure
Computational Modeling and Experiments

by Vladimír Kompiš

  • Publisher : Springer Science & Business Media
  • Release : 2010-02-18
  • Pages : 302
  • ISBN : 1402069758
  • Language : En, Es, Fr & De
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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.

The Boundary Element Method

The Boundary Element Method
Applications in Sound and Vibration

by A. Ali,C. Rajakumar

  • Publisher : CRC Press
  • Release : 2004-08-15
  • Pages : 198
  • ISBN : 9789058096579
  • Language : En, Es, Fr & De
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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 indispensable handbook and source of inspiration for researchers and professionals in these fields, this book is also an ideal textbook for graduate engineering students.

Recent Advances in Boundary Element Methods

Recent Advances in Boundary Element Methods
A Volume to Honor Professor Dimitri Beskos

by George Manolis,Demosthenes Polyzos

  • Publisher : Springer Science & Business Media
  • Release : 2009-05-12
  • Pages : 467
  • ISBN : 1402097107
  • Language : En, Es, Fr & De
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This volume, dedicated to Professor Dimitri Beskos, contains contributions from leading researchers in Europe, the USA, Japan and elsewhere, and addresses the needs of the computational mechanics research community in terms of timely information on boundary integral equation-based methods and techniques applied to a variety of fields. The contributors are well-known scientists, who also happen to be friends, collaborators as past students of Dimitri Beskos. Dimitri is one the BEM pioneers who started his career at the University of Minnesota in Minneapolis, USA, in the 1970s and is now with the University of Patras in Patras, Greece. The book is essentially a collection of both original and review articles on contemporary Boundary Element Methods (BEM) as well as on the newer Mesh Reduction Methods (MRM), covering a variety of research topics. Close to forty contributions compose an over-500 page volume that is rich in detail and wide in terms of breadth of coverage of the subject of integral equation formulations and solutions in both solid and fluid mechanics.

Analysis and Implementation of Isogeometric Boundary Elements for Electromagnetism

Analysis and Implementation of Isogeometric Boundary Elements for Electromagnetism
A Book

by Felix Wolf

  • Publisher : Springer Nature
  • Release : 2021
  • Pages : 329
  • ISBN : 3030619397
  • Language : En, Es, Fr & De
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Boundary Elements and Other Mesh Reduction Methods XXXIII

Boundary Elements and Other Mesh Reduction Methods XXXIII
A Book

by C. A. Brebbia,Viktor Popov,V. Popov

  • Publisher : WIT Press
  • Release : 2011-01-01
  • Pages : 345
  • ISBN : 1845645421
  • Language : En, Es, Fr & De
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The Wessex Institute of Technology has been convening conferences on the Boundary Element Method since 1978. The now-annual conference series is recognised internationally as the premiere forum for sharing the latest advances on the boundary element method and other meshless techniques and their applications, which continue to evolve and grow in importance. The papers presented at the latest conference will cover topics such as Advanced meshless and mesh reduction methods; Heat and mass transfer; Electrical engineering and electromagnetics; Fluid flow; Advanced formulations; Computational techniques; Advanced structural applications; Dynamics and vibrations; Damage mechanics and fracture; Material characterisation; Financial engineering applications; Stochastic modelling; and Emerging applications..

Optimization and Decision Support Systems in Civil Engineering

Optimization and Decision Support Systems in Civil Engineering
A Book

by A. B. Templeman

  • Publisher : CRC Press
  • Release : 1991
  • Pages : 92
  • ISBN : 9782881248238
  • Language : En, Es, Fr & De
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Computational Materials Science

Computational Materials Science
A Book

by Feng Xiong

  • Publisher : Trans Tech Publications Ltd
  • Release : 2011-07-04
  • Pages : 2370
  • ISBN : 3038136115
  • Language : En, Es, Fr & De
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The goal of this collection was to gather together up-to-date knowledge from researchers in academia and industry, as well as end-uses, and also give them the opportunity to share ideas, problems and solutions related to the divers aspects of Computational Materials Science, Mechanical, Industrial and Manufacturing Engineering. The result is an up-to-date survey which should be essential reading for those interested in thesetopics. Volume is indexed by Thomson Reuters CPCI-S (WoS).

Computational Mechanics

Computational Mechanics
Abstract

by Zhenhan Yao,M. W. Yuan

  • Publisher : 清华大学出版社有限公司
  • Release : 2004
  • Pages : 1286
  • ISBN : 9787302093411
  • Language : En, Es, Fr & De
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Advanced Boundary Element Methods

Advanced Boundary Element Methods
Proceedings of the IUTAM Symposium, San Antonio, Texas, April 13–16, 1987

by Thomas A. Cruse

  • Publisher : Springer Science & Business Media
  • Release : 2012-12-06
  • Pages : 489
  • ISBN : 364283003X
  • Language : En, Es, Fr & De
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The IUTAM Symposium on Advanced Boundary Element Methods brought together both established and current researchers in the broad context of applications of BEM technology. The goal of the Symposium was to provide both a formal and an informal forum for the interchange of ideas and the stimulation of new research directions.