Elastic coefficients of composites containing spherical inclusions in a periodic array

Ashok S. Sangani, Wenqiang Lu

Research output: Contribution to journalArticle

68 Scopus citations

Abstract

The effective elasticity tensor of a composite medium consisting of spherical elastic particles firmly embedded in a periodic cubic arrangement into another elastic medium is characterized by three scalars α, β and γ. We employ a method of singularity distribution and determine these scalars for various values of volume fraction of the spheres and the Lamé constants of the particles and the matrix. The results, which are presented for the simple, body-centered and face-centered cubic arrays, are in agreement with the previously known results of Nunan and Keller (J. Mech. Phys. Solids 32, 259, 1984) for the rigid particles and of Iwakuma and Nemat-Nasser (Computers and Structures 16, 13, 1983) for the non-rigid particles.

Original languageEnglish (US)
Pages (from-to)1-21
Number of pages21
JournalJournal of the Mechanics and Physics of Solids
Volume35
Issue number1
DOIs
StatePublished - 1987

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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