Scale and boundary conditions effects in elastic properties of random composites

M. Jiang, K. Alzebdeh, I. Jasiuk, M. Ostoja-Starzewski

Research output: Contribution to journalArticle

58 Citations (Scopus)

Abstract

We study elastic anti-plane responses of unidirectional fiber-matrix composites. The fibers are of circular cylinder shape, aligned in the axial direction, and arranged randomly, with no overlap, in the transverse plane. We assume that both fibers and matrix are linear elastic and isotropic. In particular, we focus on the effects of scale of observation and boundary conditions on the overall anti-plane (axial shear) elastic moduli. We conduct this analysis numerically, using a two-dimensional square spring network, at the mesoscale level. More specifically, we consider finite "windows of observation", which we increase in size. We subject these regions to several different boundary conditions: displacement-controlled. traction-controlled, periodic, and mixed (combination of any of the first three) to evaluate the mesoscale moduli. The first two boundary conditions give us scale-dependent bounds on the anti-plane elastic moduli. For each boundary condition case we consider many realizations of t he random composite to obtain statistics. In this parametric study we cover a very wide range of stiffness ratios ranging from composites with very soft inclusions (approximating holes) to those with very stiff inclusions (approaching rigid fibers), all at several volume fractions.

Original languageEnglish
Pages (from-to)63-78
Number of pages16
JournalActa Mechanica
Volume148
Issue number1-4
DOIs
Publication statusPublished - 2001

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials

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