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  4. Coupling of non-conforming trimmed isogeometric Kirchhoff-Love shells via a projected super-penalty approach
 
research article

Coupling of non-conforming trimmed isogeometric Kirchhoff-Love shells via a projected super-penalty approach

Coradello, Luca  
•
Kiendl, Josef
•
Buffa, Annalisa  
December 15, 2021
Computer Methods In Applied Mechanics And Engineering

Penalty methods have proven to be particularly effective for achieving the required C-1-continuity in the context of multi patch isogeometric Kirchhoff-Love shells. Due to their conceptual simplicity, these algorithms are readily applicable to the displacement and rotational coupling of trimmed, non-conforming surfaces. However, the accuracy of the resulting solution depends heavily on the choice of penalty parameters. Furthermore, the selection of these coefficients is generally problem dependent and is based on a heuristic approach. Moreover, developing a penalty-like procedure that avoids interface locking while retaining optimal accuracy is still an open question. This work focuses on these challenges. In particular, we devise a penalty-like strategy based on the L-2-projection of displacement and rotational coupling terms onto a degree-reduced spline space defined on the corresponding interface. Additionally, the penalty factors are completely defined by the problem setup and are constructed to ensure optimality of the method. This method is particularly suited for spline spaces of moderate degrees p = 2, 3, where the projection is computationally efficient and the condition number related to our choice of parameters does not yield a significant deterioration of the solution accuracy. To demonstrate this, we assess the performance of the proposed numerical framework on a series of non-trimmed and trimmed multi-patch benchmarks discretized by non-conforming meshes. We remark that only water-tight geometries have been considered in this work. We systematically observe a significant gain of accuracy per degree-of-freedom and no interface locking phenomena compared to other penalty-like approaches. Lastly, we perform a static shell analysis of a complex engineering structure, namely the blade of a wind turbine. (C) 2021 The Author(s). Published by Elsevier B.V.

  • Details
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Type
research article
DOI
10.1016/j.cma.2021.114187
Web of Science ID

WOS:000708703300002

Author(s)
Coradello, Luca  
Kiendl, Josef
Buffa, Annalisa  
Date Issued

2021-12-15

Publisher

ELSEVIER SCIENCE SA

Published in
Computer Methods In Applied Mechanics And Engineering
Volume

387

Article Number

114187

Subjects

Engineering, Multidisciplinary

•

Mathematics, Interdisciplinary Applications

•

Mechanics

•

Engineering

•

Mathematics

•

isogeometric analysis

•

multi-patch coupling

•

trimming

•

penalty method

•

kirchhoff-love shells

•

thin shells

•

geometry

•

patches

•

design

•

plates

•

cad

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
MNS  
Available on Infoscience
November 6, 2021
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/182845
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