A dispersive homogenization model for composites and its RVE existence

Y. Liu*, F. P. van der Meer, L. J. Sluys

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

3 Citations (Scopus)
85 Downloads (Pure)


An asymptotic homogenization model considering wave dispersion in composites is investigated. In this approach, the effect of the microstructure through heterogeneity-induced wave dispersion is characterised by an acceleration gradient term scaled by a “dispersion tensor”. This dispersion tensor is computed within a statistically equivalent representative volume element (RVE). One-dimensional and two-dimensional elastic wave propagation problems are studied. It is found that the dispersive multiscale model shows a considerable improvement over the non-dispersive model in capturing the dynamic response of heterogeneous materials. To test the existence of an RVE for a realistic microstructure for unidirectional fiber-reinforced composites, a statistics study is performed to calculate the homogenized properties with increasing microstructure size. It is found that the convergence of the dispersion tensor is sensitive to the spatial distribution pattern. A calibration study on a composite microstructure with realistic spatial distribution shows that convergence is found although only with a relatively large micromodel.
Original languageEnglish
Pages (from-to)79-98
Number of pages20
JournalComputational Mechanics
Volume65 (2020)
Issue number1
Publication statusPublished - 2019


  • Composites
  • Homogenization
  • RVE
  • Spatial distribution
  • Wave dispersion


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