scholarly journals On the use of deep, shallow or flat shell finite elements for the analysis of thin shell structures

1981 ◽  
Vol 26 (3) ◽  
pp. 321-330 ◽  
Author(s):  
Sergio Idelsohn
Keyword(s):  
Finite Elements ◽  
Thin Shell ◽  
Shell Structures ◽  
Flat Shell

Stress Resultant Analysis of Steel Penstocks Using a Flat Shell Element

2012 ◽  
Vol 170-173 ◽  
pp. 1887-1892
Author(s):  
Jing Min Liu ◽  
Lu Feng Yang ◽  
Jin Zhang ◽  
Wei Zhang
Keyword(s):  
Finite Element ◽  
Structural Analysis ◽  
Thin Shell ◽  
Shell Element ◽  
Shell Structures ◽  
Stress Resultant ◽  
Flat Shell ◽  
Flat Shell Element ◽  
Finite Element Procedure ◽  
Internal Forces

A finite element procedure of a four-node rectangular flat shell element (FSE) is programmed for structural analysis of steel penstocks. The influence of axial constraint and support settlement on the internal forces of the steel penstocks is investigated. It can be concluded that the FSE is suitable for thin shell structures of steel penstocks and can achieve satisfying accuracy. The axial constraint caused by rest piers would remarkably increase the axial internal forces along pipeline, while the influence of support settlement on the internal forces of the steel penstock is limited, and so is the increment.

Analysis of thick and thin shell structures by curved finite elements

1970 ◽  
Vol 2 (3) ◽  
pp. 419-451 ◽  
Author(s):  
Sohrabuddin Ahmad ◽  
Bruce M. Irons ◽  
O. C. Zienkiewicz
Keyword(s):  
Finite Elements ◽  
Thin Shell ◽  
Shell Structures

Plastic buckling and collapse of thin shell structures, using layered plastic modeling and co-rotational ANDES finite elements

2009 ◽  
Vol 198 (5-8) ◽  
pp. 785-798 ◽  
Author(s):  
Nélvio Dal Cortivo ◽  
Carlos A. Felippa ◽  
Henri Bavestrello ◽  
William T.M. Silva
Keyword(s):  
Finite Elements ◽  
Thin Shell ◽  
Shell Structures ◽  
Plastic Buckling

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.

Buckling Design of Axially Compressed Cylindrical Shells Based on Energy Barrier Approach

2021 ◽  
pp. 2150165
Author(s):  
Haigui Fan ◽  
Wenguang Gu ◽  
Longhua Li ◽  
Peiqi Liu ◽  
Dapeng Hu
Keyword(s):  
Experimental Data ◽  
Energy Barrier ◽  
Thin Shell ◽  
Design Method ◽  
Lightweight Design ◽  
Cylindrical Shells ◽  
Design Criterion ◽  
The Other ◽  
Shell Structures ◽  
Buckling Loads

Buckling design of axially compressed cylindrical shells is still a challenging subject considering the high imperfection-sensitive characteristic in this kind of structure. With the development of various design methods, the energy barrier concept dealing with buckling of imperfection-sensitive cylindrical shells exhibits a promising prospect in recent years. In this study, buckling design of imperfection-sensitive cylindrical shells under axial compression based on the energy barrier approach is systematically investigated. The methodology about buckling design based on the energy barrier approach is described in detail first taking advantage of the cylindrical shells whose buckling loads have been extensively tested. Then, validation and discussion about this buckling design method have been carried out by the numerical and experimental analyses on the cylindrical shells with different geometrical and boundary imperfections. Results in this study together with the available experimental data have verified the reliability and advantage of the buckling design method based on energy barrier approach. A design criterion based on the energy barrier approach is therefore established and compared with the other criteria. Results indicate that buckling design based on energy barrier approach can be used as an efficient way in the lightweight design of thin-shell structures.

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