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 language | English |
---|---|
Article number | 113094 |
Number of pages | 18 |
Journal | Computer Methods in Applied Mechanics and Engineering |
Volume | 367 |
DOIs | |
Publication status | Published - 1 Aug 2020 |
MoE publication type | A1 Journal article-refereed |
Keywords
- Homogenisation
- Hp-adaptivity
- Perforated materials
- Shells