Random Heterogeneous Materials

Microstructure and Macroscopic Properties

  • Salvatore Torquato

Part of the Interdisciplinary Applied Mathematics book series (IAM, volume 16)

Table of contents

  1. Front Matter
    Pages i-xxi
  2. Motivation and Overview

    1. Salvatore Torquato
      Pages 1-19
  3. Microstructure Characterization

    1. Front Matter
      Pages 21-21
    2. Salvatore Torquato
      Pages 23-58
    3. Salvatore Torquato
      Pages 59-95
    4. Salvatore Torquato
      Pages 96-118
    5. Salvatore Torquato
      Pages 119-159
    6. Salvatore Torquato
      Pages 160-176
    7. Salvatore Torquato
      Pages 177-187
    8. Salvatore Torquato
      Pages 188-209
    9. Salvatore Torquato
      Pages 210-233
    10. Salvatore Torquato
      Pages 234-256
    11. Salvatore Torquato
      Pages 257-268
  4. Microstructure/Property Connection

    1. Front Matter
      Pages 303-303
    2. Salvatore Torquato
      Pages 305-356
    3. Salvatore Torquato
      Pages 357-389
    4. Salvatore Torquato
      Pages 390-402
    5. Salvatore Torquato
      Pages 403-436
    6. Salvatore Torquato
      Pages 437-458
    7. Salvatore Torquato
      Pages 459-484
    8. Salvatore Torquato
      Pages 485-508
    9. Salvatore Torquato
      Pages 509-551
    10. Salvatore Torquato
      Pages 552-592
    11. Salvatore Torquato
      Pages 593-631
    12. Salvatore Torquato
      Pages 632-655
    13. Salvatore Torquato
      Pages 656-660
  5. Back Matter
    Pages 663-703

About this book



The study of random heterogeneous materials is an exciting and rapidly growing multidisciplinary endeavor. This field demands a unified rigorous means of characterizing the microstructures and macroscopic properties of the widely diverse types of heterogeneous materials that abound in nature and synthetic products. This book is the first of its kind to provide such an approach. Emphasis is placed on foundational theoretical methods that can simultaneously yield results of practical utility.

The first part of the book deals with the quantitive characterization of the microstructure of heterogeneous materials. The second part of the book treats a wide variety of macroscopic transport, electromagnetic, mechanical, and chemical properties of heterogeneous materials and describes how they are linked to the microstructure of model and real materials. Contemporary topics covered include the statistical mechanics of many-partical systems, the canonical n-point correlation function, percolation theory, computer-simulation methods, image analyses and reconstructions of real materials, homogenization theory, exact property predictions, variational bounds, expansion techniques, and cross property relations.

This clear and authoritative volume will be of particular interest to graduate students and researchers in applied mathematics, physics, chemistry, material sciences, engineering, geophysics, and biology. Moreover, the book is self-contained and approachable by nonspecialist.

Salvatore Torquato is a professor in the Department of Chemistry and in the Materials Institute at Princeton University. He also holds affiliated appointments at Princeton University in applied and Computational Mathematics Program and in Chemical Engineering. Among other honors, he was a John Simon Guggenheim Fellow in 1998. He has published over two hundred journal articles across a variety of scientific disciplines.


Clustering Simulation heterogeneous materials image analysis imaging techniques materials science mechanics

Authors and affiliations

  • Salvatore Torquato
    • 1
  1. 1.Department of Chemistry and Princeton Materials InstitutePrinceton UniversityPrincetonUSA

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag New York 2002
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4757-6357-7
  • Online ISBN 978-1-4757-6355-3
  • Series Print ISSN 0939-6047
  • Buy this book on publisher's site
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