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On Effective Material Parameters of Thin Perforated Shells under Static Loading

Giani, S.; Hakula, H.

On Effective Material Parameters of Thin Perforated Shells under Static Loading Thumbnail


Authors

H. Hakula



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.

Citation

Giani, S., & Hakula, H. (2020). On Effective Material Parameters of Thin Perforated Shells under Static Loading. Computer Methods in Applied Mechanics and Engineering, 367, Article 113094. https://doi.org/10.1016/j.cma.2020.113094

Journal Article Type Article
Acceptance Date Apr 22, 2020
Online Publication Date May 18, 2020
Publication Date Aug 1, 2020
Deposit Date Apr 23, 2020
Publicly Available Date May 18, 2021
Journal Computer Methods in Applied Mechanics and Engineering
Print ISSN 0045-7825
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 367
Article Number 113094
DOI https://doi.org/10.1016/j.cma.2020.113094

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