Periodic Homogenization and Material Symmetry in Linear Elasticity

Mariya Ptashnyk, Brian Seguin*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


Here homogenization theory is used to establish a connection between the symmetries of a periodic elastic structure associated with the microscopic properties of an elastic material and the material symmetries of the effective, macroscopic elasticity tensor. Previous results of this type exist but here more general symmetries on the microscale are considered. Using an explicit example, we show that it is possible for a material to be fully anisotropic on the microscale and yet the symmetry group on the macroscale can contain elements other than plus or minus the identity. Another example demonstrates that not all material symmetries of the macroscopic elastic tensor are generated by symmetries of the periodic elastic structure.

Original languageEnglish
Pages (from-to)225-241
Number of pages17
JournalJournal of Elasticity
Issue number2
Early online date4 Feb 2016
Publication statusPublished - Aug 2016


  • Macroscopic elasticity tensor
  • Material symmetry
  • Microstructure
  • Multiscale analysis

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering


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