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Computational Mechanics
Erschienen in: Computational Mechanics 4/2019

12.08.2018 | Original Paper

A weak form quadrature element formulation of geometrically exact shells incorporating drilling degrees of freedom

verfasst von: Run Zhang, Hongzhi Zhong, Xiaohu Yao

Erschienen in: Computational Mechanics | Ausgabe 4/2019

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Abstract

Geometrically nonlinear analysis of shell structures is conducted using weak form quadrature elements. A new geometrically exact shell formulation incorporating drilling degrees of freedom is established wherein rotation quaternions in combination with a total Lagrange updating scheme are employed for rotation description. An extended kinematic condition to serve as the drilling rotation constraint, derived from polar decomposition of modified mid-surface deformation gradient, is exactly satisfied in the formulation. Several benchmark examples are presented to illustrate the versatility and robustness of the present formulation.
Vorheriger Artikel Powder-scale multi-physics modeling of multi-layer multi-track selective laser melting with sharp interface capturing method
Nächster Artikel Isogeometric hyperelastic shell analysis with out-of-plane deformation mapping

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Metadaten
Titel
A weak form quadrature element formulation of geometrically exact shells incorporating drilling degrees of freedom
verfasst von
Run Zhang
Hongzhi Zhong
Xiaohu Yao
Publikationsdatum
12.08.2018
Verlag
Springer Berlin Heidelberg
Erschienen in
Computational Mechanics / Ausgabe 4/2019
Print ISSN: 0178-7675
Elektronische ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-018-1615-4

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