, Volume 53, Issue 6, pp 1187–1201 | Cite as

Asymptotic homogenization of fibre-reinforced composites: a virtual element method approach

  • Edoardo ArtioliEmail author
Novel Computational Approaches to Old and New Problems in Mechanics


A virtual element method approach is presented for solving the unit cell problem, in application of the asymptotic homogenization method, and computing the antiplane shear homogenized material moduli of a composite material reinforced by cylindrical inclusions of arbitrary cross section. Validation of the proposed numerical method is proved by comparison with analytical and numerical reference solutions, for a number of micro-structural arrays and for different grading properties of the material constituents. A point on numerical efficiency is also made with respect to the possibility of local refinement granted by the innovative numerical procedure which relies on a mesh conformity concept ampler than the one of classical finite element method. The flexibility of the method allows for a large variety of microstructure shapes.


VEM Virtual element method Homogenization Cell problem Periodic condition 


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Authors and Affiliations

  1. 1.Department of Civil Engineering and Computer Science (DICII)University of Rome - Tor VergataRomeItaly

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