The ‘panel analysis’ technique in the computational study of axisymmetric thin-walled shell systems
File(s)
Accepted version
Author(s)
Sadowski, AJ
Pototschnig, Ludovica
Constantinou, Petrina
Type
Journal Article
Abstract
Thin-walled shells of revolution under circumferentially uniform pre-buckling stress states are important fundamental systems, often serving as reference ‘base cases’ to which the behaviour of more complex unsymmetrical systems can be related. However, the same simplicity that often permits closed-form algebraic expressions for the critical buckling load is also often responsible for a lack of localisation and significant ambiguity in the critical buckling mode. The computation of the linear or nonlinear buckling loads requires the systematic trial of many potential buckling modes to identify the one which minimises the necessary strain energy. In times when researchers used custom-written tools usually based on circumferential Fourier series expansions, this operation was relatively straightforward. However, today's analysts using ‘general’ commercial 3D finite element packages must apply careful safeguards to correctly identify the correct buckling load and associated mode in axisymmetric shell systems.
This paper presents a detailed computational strategy to accurately and efficiently investigate the correct buckling load and mode number of axisymmetric shell systems using the technique of a ‘panel analysis’. This is implemented in the ABAQUS finite element solver controlled by the SIMULIA™ Isight automation software and the Python object-oriented programming language. The methodology is illustrated on three classical benchmark problems from the scientific literature on the buckling of cylindrical shells under meridional compression, with special attention given to meshing considerations.
This paper presents a detailed computational strategy to accurately and efficiently investigate the correct buckling load and mode number of axisymmetric shell systems using the technique of a ‘panel analysis’. This is implemented in the ABAQUS finite element solver controlled by the SIMULIA™ Isight automation software and the Python object-oriented programming language. The methodology is illustrated on three classical benchmark problems from the scientific literature on the buckling of cylindrical shells under meridional compression, with special attention given to meshing considerations.
Date Issued
2018-12
Date Acceptance
2018-07-26
Citation
Finite Elements in Analysis and Design, 2018, 152, pp.55-68
ISSN
0168-874X
Publisher
Elsevier
Start Page
55
End Page
68
Journal / Book Title
Finite Elements in Analysis and Design
Volume
152
Copyright Statement
© 2018 Elsevier B.V. All rights reserved. This manuscript is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Licence http://creativecommons.org/licenses/by-nc-nd/4.0/
Identifier
https://www.sciencedirect.com/science/article/pii/S0168874X18304001?via%3Dihub
Subjects
Science & Technology
Physical Sciences
Technology
Mathematics, Applied
Mechanics
Mathematics
Panel analysis
Axisymmetric shell
Buckling
Wave number
ABAQUS
Isight
ELASTIC CYLINDRICAL-SHELLS
IMPERFECT CONICAL SHELLS
AXIAL-COMPRESSION
SPHERICAL-SHELLS
STABILITY
COLLAPSE
DESIGN
LOADS
Design Practice & Management
01 Mathematical Sciences
09 Engineering
Publication Status
Published
Date Publish Online
2018-08-28