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Transverse shear parametrization in hierarchic large rotation shell formulations
Citation Link: https://doi.org/10.15480/882.9494
Publikationstyp
Journal Article
Date Issued
2024-02-05
Sprache
English
TORE-DOI
Volume
125
Issue
9
Article Number
e7443
Citation
International Journal for Numerical Methods in Engineering 125 (9): e7443 (2024)
Publisher DOI
Scopus ID
Publisher
John Wiley & Sons, Inc.
Consistent treatment of large rotations in common Reissner–Mindlin formulations is a complicated task. Reissner–Mindlin formulations that use a hierarchic parametrization provide an elegant way to facilitate large rotation shell analyses. This can be achieved by the assumption of linearized transverse shear strains, resulting in an additive split of strain components, which technically simplifies implementation of corresponding shell finite elements. The present study aims at validating this assumption by systematically comparing numerical solutions with those of a newly implemented hierarchic and fully nonlinear Reissner–Mindlin shell element.
Subjects
hierarchic shell formulation
isogeometric analysis
large rotations
linearized transverse shear
Reissner–Mindlin model
shear deformable shells
DDC Class
510: Mathematics
620: Engineering
Funding Organisations
More Funding Information
Deutsche Forschungsgemeinschaft
http://dx.doi.org/10.13039/501100001659
http://dx.doi.org/10.13039/501100001659
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publishedVersion
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