On the size of RVE in finite elasticity of random composites

Z. F. Khisaeva, M. Ostoja-Starzewski

Research output: Contribution to journalArticlepeer-review


This paper presents a quantitative study of the size of representative volume element (RVE) of random matrix-inclusion composites based on a scale-dependent homogenization method. In particular, mesoscale bounds defined under essential or natural boundary conditions are computed for several nonlinear elastic, planar composites, in which the matrix and inclusions differ not only in their material parameters but also in their strain energy function representations. Various combinations of matrix and inclusion phases described by either neo-Hookean or Ogden function are examined, and these are compared to those of linear elastic types.

Original languageEnglish (US)
Pages (from-to)153-173
Number of pages21
JournalJournal of Elasticity
Issue number2
StatePublished - Nov 2006


  • Finite elasticity
  • Homogenization theory
  • Mesoscale bounds
  • Micromechanics
  • Random composites
  • Representative volume element

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

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