Multi-scale modelling and simulation of effective properties of perforated sheets with periodic patterns

Srikkanth Varadharajan, Lukas Utzig, Fabian Duddeck

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

The elastic properties of a perforated sheet having hexagonal periodic patterns are evaluated using a representative volume element (RVE). The finite element method (FEM) is employed to evaluate the response of the RVE under periodic boundary conditions and numerical homogenisation technique is applied using the FEM solution to estimate the effective properties of the perforated sheet. Numerical homogenisation results are compared to analytical solutions from literature and experimental results. The RVE used in this work considers the radius formed between attached edges and investigates the effect of radius on the overall properties, which has not been sufficiently investigated in literature. Furthermore, the influence of enforcing periodic boundary conditions on the RVE along the thickness direction for such thin perforated structure is investigated. It is found that the elastic constants are overestimated on enforcing periodicity in the thickness direction.

Original languageEnglish
Pages (from-to)707-722
Number of pages16
JournalMeccanica
Volume57
Issue number3
DOIs
StatePublished - Mar 2022

Keywords

  • Effective properties
  • Finite element method
  • Numerical homogenisation
  • Perforated sheet
  • Periodic boundary condition
  • Representative volume element

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