The Inclusion Based Boundary Element Method iBEM

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  • Publisher : Academic Press
  • Release : 01 May 2022
  • ISBN : 9780128193853
  • Page : 354 pages
  • Rating : 4.5/5 from 103 voters

The Inclusion Based Boundary Element Method iBEM Book PDF 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

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The Inclusion-Based Boundary Element Method (iBEM)

The Inclusion-Based Boundary Element Method (iBEM)
  • Author : Huiming Yin,Gan Song,Liangliang Zhang,Chunlin Wu
  • Publisher : Academic Press
  • Release Date : 2022-05-01
  • ISBN : 9780128193853
DOWNLOAD 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

Virtual Experiments and Designs of Composites with the Inclusion-based Boundary Element Method (iBEM)

Virtual Experiments and Designs of Composites with the Inclusion-based Boundary Element Method (iBEM)
  • Author : Chunlin Wu
  • Publisher : Unknown
  • Release Date : 2021
  • ISBN : OCLC:1268951485
DOWNLOAD BOOKVirtual Experiments and Designs of Composites with the Inclusion-based Boundary Element Method (iBEM)

The combination of shape functions and domain integrals of polygonal / polyhedral subdomain enables its application to arbitrary shaped particles. It serves as a powerful tool to conduct virtual experiments for composite materials with various geometry and investigate the effective moduli under uni-axial load of samples with large number of particles or under the periodic boundary condition. In the future, the iBEM will be implemented for time independent and dependent nonlinear behavior of composites, such as elastoplastic, viscoelastic, and dynamic elastic

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
  • ISBN : 9781845648411
DOWNLOAD 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.

The Isogeometric Boundary Element Method

The Isogeometric Boundary Element Method
  • Author : Gernot Beer,Christian Duenser
  • Publisher : Unknown
  • Release Date : 2020
  • ISBN : 3030233413
DOWNLOAD BOOKThe Isogeometric Boundary Element Method

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

Boundary Element Methods

Boundary Element Methods
  • Author : Stefan A. Sauter,Christoph Schwab
  • Publisher : Springer Science & Business Media
  • Release Date : 2010-11-01
  • ISBN : 9783540680932
DOWNLOAD BOOKBoundary Element Methods

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

Fast Multipole Boundary Element Method

Fast Multipole Boundary Element Method
  • Author : Yijun Liu
  • Publisher : Cambridge University Press
  • Release Date : 2009-08-24
  • ISBN : 9781139479448
DOWNLOAD 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

Flow-Induced Alignment in Composite Materials

Flow-Induced Alignment in Composite Materials
  • Author : T.D. Papthanasiou,Andre Benard
  • Publisher : Woodhead Publishing
  • Release Date : 2021-10-20
  • ISBN : 9780128185759
DOWNLOAD BOOKFlow-Induced Alignment in Composite Materials

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

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
  • ISBN : 9781498707305
DOWNLOAD 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

Green's Function and Boundary Elements of Multifield Materials

Green's Function and Boundary Elements of Multifield Materials
  • Author : Qing-Hua Qin
  • Publisher : Elsevier
  • Release Date : 2010-07-07
  • ISBN : 0080478069
DOWNLOAD BOOKGreen's Function and Boundary Elements of Multifield Materials

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

Boundary Element Methods

Boundary Element Methods
  • Author : Q. Du,Mana Tanaka
  • Publisher : Elsevier
  • Release Date : 2014-05-23
  • ISBN : 9781483297941
DOWNLOAD 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 Date : 2011
  • ISBN : 9781848165793
DOWNLOAD 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.

Optimization and Decision Support Systems in Civil Engineering

Optimization and Decision Support Systems in Civil Engineering
  • Author : A. B. Templeman
  • Publisher : CRC Press
  • Release Date : 1991
  • ISBN : 2881248233
DOWNLOAD BOOKOptimization and Decision Support Systems in Civil Engineering

Analysis and Implementation of Isogeometric Boundary Elements for Electromagnetism

Analysis and Implementation of Isogeometric Boundary Elements for Electromagnetism
  • Author : Felix Wolf
  • Publisher : Springer Nature
  • Release Date : 2020-11-30
  • ISBN : 9783030619398
DOWNLOAD BOOKAnalysis and Implementation of Isogeometric Boundary Elements for Electromagnetism

This book presents a comprehensive mathematical and computational approach for solving electromagnetic problems of practical relevance, such as electromagnetic scattering and the cavity problems. After an in-depth introduction to the mathematical foundations of isogeometric analysis, which discusses how to conduct higher-order simulations efficiently and without the introduction of geometrical errors, the book proves quasi-optimal approximation properties for all trace spaces of the de Rham sequence, and demonstrates inf-sup stability of the isogeometric discretisation of the electric field integral equation (EFIE).

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 Date : 2000-03-02
  • ISBN : 9780309065375
DOWNLOAD 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

Advances in Boundary Element & Meshless Techniques XX

Advances in Boundary Element & Meshless Techniques XX
  • Author : I. Benedetti A. Milazzo M.H. Aliabadi
  • Publisher : Engineering Conferences
  • Release Date : 2019-07-01
  • ISBN : 9780957673168
DOWNLOAD BOOKAdvances in Boundary Element & Meshless Techniques XX

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),