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The Inclusion Based Boundary Element Method iBEM

The Inclusion Based Boundary Element Method  iBEM

Detail Book : The Inclusion Based Boundary Element Method iBEM written by Gan Song, published by Academic Press which was released on 01 November 2020. Download The Inclusion Based Boundary Element Method iBEM Books now! Available in PDF, ePub and Kindle. 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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Author : Gan Song
Release Date : 01 November 2020
Publisher : Academic Press
Rating : 4/5 (from 21 users)
Pages : 350
ISBN : 0128193859
Format : PDF, ePUB, KF8, PDB, MOBI, Tuebl
The Inclusion Based Boundary Element Method  iBEM

The 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

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Fast Multipole Boundary Element Method

Fast 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

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Boundary Element Methods

Boundary 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

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Boundary Element Methods

Boundary 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

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Recent Advances in Boundary Element Methods

Recent Advances in Boundary Element Methods

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

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The Boundary Element Method

The Boundary Element Method

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,

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The Boundary Element Method  Volume 1

The Boundary Element Method Volume 1

The boundary element method (BEM) is a modern numerical techniquewhich has enjoyed increasing popularity over the last two decades,and is now an established alternative to traditional computationalmethods of engineering analysis. The main advantage of the BEM isits unique ability to provide a complete solution in terms ofboundary values only,

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Inclusion Boundary Reconstruction and Sensitivity Analysis in Electrical Impedance Tomography

Inclusion Boundary Reconstruction and Sensitivity Analysis in Electrical Impedance Tomography

Abstract: Reconstruction of conductive inclusions in a homogeneous background medium is commonly seen in electrical impedance tomography (EIT). One of the methods to deal with the inclusion reconstruction problems is the shape-based method. With prior knowledge of conductivity of target inclusions, the boundary of inclusions is parameterized by several shape

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The Boundary Element Method  Volume 2

The Boundary Element Method Volume 2

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

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Optimization and Decision Support Systems in Civil Engineering

Optimization and Decision Support Systems in Civil Engineering

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Symmetric Galerkin Boundary Element Method

Symmetric Galerkin Boundary Element Method

Symmetric Galerkin Boundary Element Method presents an introduction as well as recent developments of this accurate, powerful, and versatile method. The formulation possesses the attractive feature of producing a symmetric coefficient matrix. In addition, the Galerkin approximation allows standard continuous elements to be used for evaluation of hypersingular integrals. FEATURES •

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The Complex Variable Boundary Element Method in Engineering Analysis

The Complex Variable Boundary Element Method in Engineering Analysis

The Complex Variable Boundary Element Method (CVBEM) has emerged as a new and effective modeling method in the field of computational mechanics and hydraulics. The CVBEM is a generalization of the Cauchy integral formula into a boundary integral equation method. The model ing approach by boundary integration, the use of

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Boundary Element Methods

Boundary Element Methods

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

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Anisotropic Elastic Plates

Anisotropic Elastic Plates

As structural elements, anisotropic elastic plates find wide applications in modern technology. The plates here are considered to be subjected to not only inplane load but also transverse load. In other words, both plane and plate bending problems as well as the stretching-bending coupling problems are all explained in this

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Lignocellulosic Polymer Composites

Lignocellulosic Polymer Composites

The book presents emerging economic and environmentally friendly lignocellulosic polymer composites materials that are free from side effects studied in the traditional synthetic materials. This book brings together panels of highly-accomplished leading experts in the field of lignocellulosic polymers & composites from academia, government, as well as research institutions across the

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