Microstructure and conductivity of hierarchical laminate composites

J. Quintanilla, S. Torquato

Research output: Contribution to journalArticle

10 Scopus citations

Abstract

Certain hierarchical laminates with a wide separation of length scales are known theoretically to have optimal transport and mechanical properties. We derive analytical expressions for the [Formula Presented]-point probability functions that statistically characterize the microstructure for more general hierarchical laminates with an arbitrary number of stages and a finite separation of length scales. Using two-point probability information, we rigorously bound the effective conductivity (or dielectric constant) tensor for macroscopically anisotropic laminates and study how the separation of length scales affects the effective properties.

Original languageEnglish (US)
Pages (from-to)4368-4378
Number of pages11
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume53
Issue number5
DOIs
StatePublished - Jan 1 1996

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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