The Inclusion-Based Boundary Element Method (iBEM) - 1st Edition - ISBN: 9780128193846

The Inclusion-Based Boundary Element Method (iBEM)

1st Edition

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Authors: Gan Song Huiming Yin Liangliang Zhang
Paperback ISBN: 9780128193846
Imprint: Academic Press
Published Date: 1st October 2020
Page Count: 350
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Description

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.

Key Features

  • 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

Readership

Graduate students and researchers from civil, mechanical, aerospace and material science and engineering disciplines

Table of Contents

  1. Introduction
    2. Mathematical Preliminaries
    3. EIM for Infinite Domain Problems
    4. EIM for Semi-infinite Domain Problems
    5. iBEM for Potential Flow Problems
    6. iBEM for Stokes Flow Problems
    7. iBEM for Linear Elastic Problems
    8. iBEM for Dynamic Problems 
    9. Conclusions and Future Work

Details

No. of pages:
350
Language:
English
Copyright:
© Academic Press 2021
Published:
1st October 2020
Imprint:
Academic Press
Paperback ISBN:
9780128193846

About the Author

Gan Song

Dr. Gan Song obtained his Ph.D. in the Department of Civil Engineering and Engineering Mechanics at Columbia University. His research interest focuses on numerical simulation of the mechanical behaviour of civil engineering materials. He develops this innovative numerical method – iBEM under the advice of Professor Yin, which is a powerful tool to characterize mechanical property of composite material containing various sizes, shapes and types of particles within affordable computational cost. The method is able to be extended to analyse fluid mechanics, potential flow, and other multi-physical problems as well.

Affiliations and Expertise

Ph.D. in the Department of Civil Engineering and Engineering Mechanics at Columbia University

Huiming Yin

Huiming Yin is an Associate Professor in the Department of Civil Engineering and Engineering Mechanics at Columbia University. His research specializes in the multi-scale/physics characterization of civil engineering materials and structures with experimental, analytical, and numerical methods. His research interests are interdisciplinary and range from structures and materials to innovative construction technologies and test methods. He has taught the courses in solid mechanics and composite materials in the past decade at Columbia University.

Affiliations and Expertise

Associate Professor in the Department of Civil Engineering and Engineering Mechanics at Columbia University

Liangliang Zhang

Liangliang Zhang is an Associate Research Scientist in the Department of Civil Engineering and Engineering Mechanics at Columbia University. He earned his Ph. D. in Engineering Mechanics at China Agricultural University. Before joining Columbia University in 2017, he worked as an engineer in company for two years and obtained multidisciplinary engineering experience covering innovative structural design and materials. His research interests are focus on the advanced smart materials and composite structures.

Affiliations and Expertise

Associate Research Scientist in the Department of Civil Engineering and Engineering Mechanics at Columbia University. He earned his Ph. D. in Engineering Mechanics at China Agricultural University.

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