Geometrical anisotropy in biphase particle reinforced composites

Shivakumar I. Ranganathan, Paolo Decuzzi, Lewis T. Wheeler, Mauro Ferrari

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


Particle shape plays a crucial role in the design of novel reinforced composites. We introduce the notion of a geometrical anisotropy index A to characterize the particle shape and establish its relationship with the effective elastic constants of biphase composite materials. Our analysis identifies three distinct regions of A: (i) By using ovoidal particles with small A, the effective stiffness scales linearly with A for a given volume fraction α; (ii) for intermediate values of A, the use of prolate particles yield better elastic properties; and (iii) for large A, the use of oblate particles result in higher effective stiffness. Interestingly, the transition from (ii) to (iii) occurs at a critical anisotropy Acr and is independent of α.

Original languageEnglish (US)
Pages (from-to)1-4
Number of pages4
JournalJournal of Applied Mechanics, Transactions ASME
Issue number4
StatePublished - 2010

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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