Analysis of particle-to-particle elastic interactions in syntactic foams

Gabriele Tagliavia, Maurizio Porfiri, Nikhil Gupta

Research output: Contribution to journalArticle


This work analyzes the elastic interaction between a pair of hollow particles embedded in a dissimilar medium subjected to remote uniaxial tensile loading. The Boussinesq-Papkovich stress function approach is combined with a multi-pole series expansion to derive a semi-analytical solution of the Navier-Cauchy equation and determine stress and displacement fields in the inclusions and the surrounding medium. Stress profiles, stress intensification factors, circumferential stress resultants in the particles, and strain energy storage are presented for a broad range of particle wall thicknesses, sizes, and relative inter-particle distances. Results specialized to glass-vinyl ester systems demonstrate that particle wall thicknesses and size distributions can be used to modulate the effects of particle-to-particle interaction on the overall mechanical behavior of syntactic foams.

Original languageEnglish (US)
Pages (from-to)952-968
Number of pages17
JournalMechanics of Materials
Issue number12
StatePublished - Dec 1 2011



  • Homogenization
  • Multiple inclusions
  • Particle reinforced composite
  • Porosity
  • Syntactic foam

ASJC Scopus subject areas

  • Materials Science(all)
  • Instrumentation
  • Mechanics of Materials

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