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Single-Inclusion Solutions

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

Abstract

A variety of estimates of the effective properties of heterogeneous media utilize the solution of the boundary value problem of the relevant field for a single inclusion of one material in a matrix of another material. Such estimates include effective properties of dispersions in the dilute-concentration limit (Chapter 19), a variety of effective-medium type approximations (Chapter 18), and rigorous bounds on the effective properties (Chapter 21). In this chapter we will derive single-inclusion solutions for all four classes of problems, focusing on spherical and ellipsoidal inclusions.

Keywords

Concentration Field Trap Surface Lame Constant Ellipsoidal Inclusion Infinite Matrix 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

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

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