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1 - Introduction

Published online by Cambridge University Press:  05 October 2023

Leiting Dong  and
Satya N. Atluri
Leiting Dong
Affiliation:
Beihang University, China
Satya N. Atluri
Affiliation:
University of California, Irvine
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Summary

This chapter provides a very brief summary of the types of heterogeneous materials considered in this monograph: fiber-reinforced composites, particulate composites, nanocomposites, porous composites, and so on. A succinct summary is given of analytical homogenization methods to determine the overall properties of particulate composites based on the upper and lower bounds of Hashin and Shtrikman; the Eshelby ellipsoidal inclusion theory and the Self-consistent Method of Eshelby; and the Mori-Tanaka Method and some other semi-analytical methods. Numerical methods such as the finite element method, the boundary element method, XFEM, and so on to model a representative volume element (RVE) of a heterogeneous material are reviewed, and thus the motivation for the Computational Grains method discussed in the rest of this book is presented.

Keywords

heterogeneous materialsanalytical homogenization methodsnumerical methodsfinite element methodrepresentative volume elementComputational Grains method
Type
Chapter
Information
Computational Grains
Micromechanical Genome for Heterogeneous Materials
 , pp. 1 - 16
Publisher: Cambridge University Press
Print publication year: 2023

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References

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  • Introduction
  • Leiting Dong, Beihang University, China, Satya N. Atluri, University of California, Irvine
  • Book: Computational Grains
  • Online publication: 05 October 2023
  • Chapter DOI: https://doi.org/10.1017/9781108917759.002
Available formats
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  • Introduction
  • Leiting Dong, Beihang University, China, Satya N. Atluri, University of California, Irvine
  • Book: Computational Grains
  • Online publication: 05 October 2023
  • Chapter DOI: https://doi.org/10.1017/9781108917759.002
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Introduction
  • Leiting Dong, Beihang University, China, Satya N. Atluri, University of California, Irvine
  • Book: Computational Grains
  • Online publication: 05 October 2023
  • Chapter DOI: https://doi.org/10.1017/9781108917759.002
Available formats
×