June 15, 2021

Download Ebook Free The Inclusion-Based Boundary Element Method

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 Date : 2020-11-15
Category : Technology & Engineering
Total pages :350
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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

Introduction to the Micromechanics of Composite Materials

Introduction to the Micromechanics of Composite Materials
Author : Huiming Yin,Yingtao Zhao
Publisher : CRC Press
Release Date : 2016-01-27
Category : Science
Total pages :224
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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
Author : Yijun Liu
Publisher : Cambridge University Press
Release Date : 2009-08-24
Category : Technology & Engineering
Total pages :129
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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 : Q. Du,Mana Tanaka
Publisher : Elsevier
Release Date : 2014-05-23
Category : Technology & Engineering
Total pages :428
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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.

Boundary Element Methods

Boundary Element Methods
Author : Masataka Tanaka,Qinghua Du,Toshihisa Honma
Publisher : Elsevier Science Limited
Release Date : 1993
Category : Science
Total pages :384
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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.

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 Date : 2013-12-11
Category : Mathematics
Total pages :568
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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.

Automatic Object Recognition

Automatic Object Recognition
Author : Firooz A. Sadjadi,Society of Photo-optical Instrumentation Engineers
Publisher : Society of Photo Optical
Release Date : 1991
Category : Computers
Total pages :475
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Computational Materials Science

Computational Materials Science
Author : Feng Xiong
Publisher : Trans Tech Publications Ltd
Release Date : 2011-07-04
Category : Technology & Engineering
Total pages :2370
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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).

Boundary Element Method

Boundary Element Method
Author : F. París,Jose Canas,José Cañas
Publisher : Oxford University Press, USA
Release Date : 1997
Category : Technology & Engineering
Total pages :392
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Disk includes versions of BETIS and SERBA programs and input and output files corresponding to the examples that appear in the book.

The Trefftz Finite and Boundary Element Method

The Trefftz Finite and Boundary Element Method
Author : Qing-Hua Qin
Publisher : WIT Press
Release Date : 2000
Category : Technology & Engineering
Total pages :282
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This text provides an accessible and up-to-date introduction to the Trefftz finite element method. The author's main emphasis is on fundamental concepts and the development of different Trefftz element formulations for stress analysis of various elastic problems. The book is a reference for postgraduate students, researchers, scientists and professional engineers in computational mechanics, structural design, and applied mathematics.

ASME Technical Papers

ASME Technical Papers
Author : Anonim
Publisher : Unknown
Release Date : 2021
Category : Mechanical engineering
Total pages :129
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Nanotube Superfiber Materials

Nanotube Superfiber Materials
Author : Y.J. Liu,D. Qian,P. He,N. Nishimura
Publisher : Elsevier Inc. Chapters
Release Date : 2013-09-16
Category : Technology & Engineering
Total pages :848
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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.

Advances in Boundary Element Methods

Advances in Boundary Element Methods
Author : B. H. V. Topping
Publisher : Hyperion Books
Release Date : 1996
Category : Boundary element methods
Total pages :152
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Includes a selection of papers that were presented at the Third International Conference on Computational Structures Technology, which was held from 21-23 August 1996, at Budapest, Hungary.

Shape Design Sensitivity Analysis by the Boundary Element Method

Shape Design Sensitivity Analysis by the Boundary Element Method
Author : Jing Zhang
Publisher : Unknown
Release Date : 1991
Category :
Total pages :304
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A Boundary Spectral Method for Elasticity Problems with Spherical Inhomogeneities

A Boundary Spectral Method for Elasticity Problems with Spherical Inhomogeneities
Author : Hamid Reza Sadraie
Publisher : Unknown
Release Date : 2006
Category :
Total pages :158
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