Homogenization of non-periodic zones in periodic domains using the embedded unit cell approach

M. Grigorovitch, E. Gal

Research output: Contribution to journalArticlepeer-review


In this paper we present the development of the embedded unit cell (EUC) approach, a new concept designed to facilitate homogenization and multi scale analysis of composite materials/domains in cases where the classical theory of homogenization is not valid due to lack of periodic microscopic response, e.g. in the boundary of a periodic macroscopic domain. The EUC approach is based on a non-periodic formulation of the asymptotic homogenization theory and evaluates the local/micro response of non-periodic zones, based on alternative boundary conditions. Finally, a verification study, which demonstrates the appropriate numerical performance of the suggested homogenization approach, is presented.

Original languageEnglish
Pages (from-to)95-108
Number of pages14
JournalComputers and Structures
StatePublished - 15 Jan 2017


  • Composite materials
  • Embedded unit cell (EUC)
  • Homogenization
  • Multiscale formulation
  • Non-periodic response
  • Non-periodic unit cell

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • General Materials Science
  • Computer Science Applications
  • Civil and Structural Engineering
  • Modelling and Simulation


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