Elastic moduli of two-dimensional composites with sliding inclusions-A comparison of effective medium theories

Sukky Jun, Iwona Jasiuk

Research output: Contribution to journalArticlepeer-review

Abstract

We study the effective elastic moduli of two-dimensional (2D) composite materials containing sliding circular inclusions distributed randomly in the matrix. To simulate sliding we introduce a sliding parameter, which in two limiting cases gives perfect bonding and pure sliding boundary conditions. We evaluate elastic moduli using four effective medium theories; the self-consistent method, the differential scheme, the Mori-Tanaka method and the generalized self-consistent method. In this paper we focus on two aspects: one is the study of the effect of interface on the elastic constants of composites and the other is a comparison of the results from effective medium theories for the cases of both sliding and perfect bonding. In the discussion we use the recently-stated Cherkaev-Lurie-Milton theorem, which gives general relations between the effective elastic constants of 2D composites. We also compare the results from the effective medium theories with those from numerical simulations.

Original languageEnglish (US)
Pages (from-to)2501-2523
Number of pages23
JournalInternational Journal of Solids and Structures
Volume30
Issue number18
DOIs
StatePublished - 1993
Externally publishedYes

ASJC Scopus subject areas

  • Modeling and Simulation
  • General Materials Science
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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