Evaluation of the effective elastic moduli of tetragonal fiber-reinforced composites based on Maxwell's concept of equivalent inhomogeneity

Sofia G. Mogilevskaya, Volodymyr I. Kushch, Henryk K. Stolarski, Steven L. Crouch

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

Maxwell's concept of an equivalent inhomogeneity is employed for evaluating the effective elastic properties of tetragonal, fiber-reinforced, unidirectional composites with isotropic phases. The microstructure induced anisotropic effective elastic properties of the material are obtained by comparing the far-field solutions for the problem of a finite cluster of isotropic, circular cylindrical fibers embedded in an infinite isotropic matrix with that for the problem of a single, tetragonal, circular cylindrical equivalent inhomogeneity embedded in the same isotropic matrix. The former solutions precisely account for the interactions between all fibers in the cluster and for their geometrical arrangement. The solutions to several example problems that involve periodic (square arrays) composites demonstrate that the approach adequately captures microstructure induced anisotropy of the materials and provides reasonably accurate estimates of their effective elastic properties.

Original languageEnglish (US)
Pages (from-to)4161-4172
Number of pages12
JournalInternational Journal of Solids and Structures
Volume50
Issue number25-26
DOIs
StatePublished - Dec 1 2013

Keywords

  • Circular cylindrical fibers
  • Elastic moduli
  • Fourier series
  • Maxwell's methodology
  • Tetragonal fiber-reinforced composites

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