On Effective Material Parameters of Thin Perforated Shells under Static Loading

Giani, S.; Hakula, H.

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
• Electronic ISSN: 1879-2138
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 367
• Article Number: 113094
• DOI: https://doi.org/10.1016/j.cma.2020.113094
• Public URL: https://durham-repository.worktribe.com/output/1272271