On effective material parameters of thin perforated shells under static loading

Stefano Giani, Harri Hakula*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

Abstract

One of the defining properties of thin shell problems is that the solution can be viewed as a linear combination of local features, each with its own characteristic thickness-dependent length scale. For perforated shells it is thus possible that for the given dimensionless thickness, the local features dominate, and the problem of deriving effective material parameters becomes ill-posed. In the general case, one has to account for many different aspects of the problem that directly affect the effective material parameters. Through a computational study we derive a conjecture for the admissible thickness-ranges. The effective material parameters are derived with a minimisation process over a set of feasible instances. The efficacy of the conjecture and the minimisation process is demonstrated with an extensive set of numerical experiments.

Original languageEnglish
Article number113094
Number of pages18
JournalComputer Methods in Applied Mechanics and Engineering
Volume367
DOIs
Publication statusPublished - 1 Aug 2020
MoE publication typeA1 Journal article-refereed

Keywords

  • Homogenisation
  • Hp-adaptivity
  • Perforated materials
  • Shells

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