A new penalty function element for thin shell analysis

1982 ◽  
Vol 18 (6) ◽  
pp. 845-861 ◽  
Author(s):  
E. Haugeneder
Keyword(s):  
Penalty Function ◽  
Thin Shell ◽  
Shell Analysis ◽  
Function Element

scholarly journals Application of Hyperelastic Nodal Force Method to Evaluation of Aortic Valve Cusps Coaptation: Thin Shell vs. Membrane Formulations

Mathematics ◽  
2021 ◽  
Vol 9 (12) ◽  
pp. 1450
Author(s):  
Yuri Vassilevski ◽  
Alexey Liogky ◽  
Victoria Salamatova
Keyword(s):  
Aortic Valve ◽  
Finite Elements ◽  
Shell Model ◽  
Thin Shell ◽  
Aortic Valves ◽  
Shear Moduli ◽  
Force Method ◽  
Elastic Potentials ◽  
Shell Analysis ◽  
First Time

Coaptation characteristics are crucial in an assessment of the competence of reconstructed aortic valves. Shell or membrane formulations can be used to model the valve cusps coaptation. In this paper we compare both formulations in terms of their coaptation characteristics for the first time. Our numerical thin shell model is based on a combination of the hyperelastic nodal forces method and the rotation-free finite elements. The shell model is verified on several popular benchmarks for thin-shell analysis. The relative error with respect to reference solutions does not exceed 1–2%. We apply our numerical shell and membrane formulations to model the closure of an idealized aortic valve varying hyperelasticity models and their shear moduli. The coaptation characteristics become almost insensitive to elastic potentials and sensitive to bending stiffness, which reduces the coaptation zone.

scholarly journals The fragmentation of expanding shells – limitations of the thin-shell model

2009 ◽  
Vol 5 (S266) ◽  
pp. 375-375
Author(s):  
Jim Dale ◽  
Richard Wünsch ◽  
Jan Palouš ◽  
Ant Whitworth
Keyword(s):  
Shell Model ◽  
Thin Shell ◽  
Shell Analysis ◽  
Expanding Shells

AbstractWe study the fragmentation of expanding shells in the context of the linear thin-shell analysis. We simulate shell fragmentation using the flash AMR code and a variant of the Benz SPH code.

Rotation free isogeometric thin shell analysis using PHT-splines

2011 ◽  
Vol 200 (47-48) ◽  
pp. 3410-3424 ◽  
Author(s):  
N. Nguyen-Thanh ◽  
J. Kiendl ◽  
H. Nguyen-Xuan ◽  
R. Wüchner ◽  
K.U. Bletzinger ◽  
...  
Keyword(s):  
Thin Shell ◽  
Shell Analysis
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