Random Heterogeneous Materials

Microstructure and Macroscopic Properties

Authors:

ISBN: 978-1-4757-6357-7 (Print) 978-1-4757-6355-3 (Online)

Table of contents (25 chapters)

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  1. Front Matter

    Pages i-xxi

  2. Motivation and Overview

    1. No Access

      Chapter

      Pages 1-19

      Motivation and Overview

  3. Microstructure Characterization

    1. Front Matter

      Pages 21-21

    2. No Access

      Chapter

      Pages 23-58

      Microstructural Descriptors

    3. No Access

      Chapter

      Pages 59-95

      Statistical Mechanics of Many-Particle Systems

    4. No Access

      Chapter

      Pages 96-118

      Unified Approach to Characterize Microstructure

    5. No Access

      Chapter

      Pages 119-159

      Monodisperse Spheres

    6. No Access

      Chapter

      Pages 160-176

      Polydisperse Spheres

    7. No Access

      Chapter

      Pages 177-187

      Anisotropic Media

    8. No Access

      Chapter

      Pages 188-209

      Cell and Random-Field Models

    9. No Access

      Chapter

      Pages 210-233

      Percolation and Clustering

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      Chapter

      Pages 234-256

      Some Continuum Percolation Results

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      Chapter

      Pages 257-268

      Local Volume Fraction Fluctuations

    12. No Access

      Chapter

      Pages 269-302

      Computer Simulations, Image Analyses, and Reconstructions

  4. Microstructure/Property Connection

    1. Front Matter

      Pages 303-303

    2. No Access

      Chapter

      Pages 305-356

      Local and Homogenized Equations

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      Chapter

      Pages 357-389

      Variational Principles

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      Chapter

      Pages 390-402

      Phase-Interchange Relations

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      Chapter

      Pages 403-436

      Exact Results

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      Chapter

      Pages 437-458

      Single-Inclusion Solutions

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      Chapter

      Pages 459-484

      Effective-Medium Approximations

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      Chapter

      Pages 485-508

      Cluster Expansions

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      Chapter

      Pages 509-551

      Exact Contrast Expansions

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