Popular benchmarks of nonlinear shell analysis solved by 1D and 2D CUF-based finite elements

2020 ◽  
Vol 27 (13) ◽  
pp. 1098-1109 ◽  
Author(s):  
E. Carrera ◽  
A. Pagani ◽  
R. Augello ◽  
B. Wu
Keyword(s):  
Finite Elements ◽  
Shell Analysis ◽  
Nonlinear Shell

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.

Shell analysis with a combination of eight node and nine node finite elements

1988 ◽  
Vol 28 (2) ◽  
pp. 155-163 ◽  
Author(s):  
C.H. Yeom ◽  
M.P. Scardera ◽  
S.W. Lee
Keyword(s):  
Finite Elements ◽  
Shell Analysis

Effective Modeling and Nonlinear Shell Analysis of Thin Membranes Exhibiting Structural Wrinkling

2005 ◽  
Vol 42 (2) ◽  
pp. 287-298 ◽  
Author(s):  
Alexander Tessler ◽  
David W. Sleight ◽  
John T. Wang
Keyword(s):  
Shell Analysis ◽  
Nonlinear Shell ◽  
Thin Membranes

scholarly journals Finite elements in shell analysis: A comparison of 3D-p- and higher order shell elements

PAMM ◽  
2003 ◽  
Vol 3 (1) ◽  
pp. 250-251
Author(s):  
Christian Nachname ◽  
Jan-Hendrik Hommel ◽  
Günther Meschke
Keyword(s):  
Finite Elements ◽  
Higher Order ◽  
Shell Elements ◽  
Shell Analysis
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