On effective material parameters of thin perforated shells under static loading

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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Date
2020-08-01
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Mcode
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Language
en
Pages
18
Series
Computer Methods in Applied Mechanics and Engineering, Volume 367
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.
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Keywords
Homogenisation, Hp-adaptivity, Perforated materials, Shells
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Citation
Giani , S & Hakula , H 2020 , ' On effective material parameters of thin perforated shells under static loading ' , Computer Methods in Applied Mechanics and Engineering , vol. 367 , 113094 . https://doi.org/10.1016/j.cma.2020.113094