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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Language
en
Pages
18
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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.Description
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