The purpose of this paper is to examine computationally the stability of shells consisting of two layers when subjected to external circumferential strain. This loading appears often in biomedicine when the smooth muscle surrounding various organs such as esophagus, lung airways, or gastrointestinal tract contracts. The differential stability equations are discretized using the finite volume method and the resulting generalized eigenvalue problem is solved using the QZ decomposition technique. The predicted number of folds agrees well with available experimental measurements. The present results show that the buckling behavior under circumferential strain loading is entirely different compared with external hydrostatic pressure loading. More specifically, in the latter case, the number of folds with the smallest critical load is always equal to 2. In the former case, however, it depends on the thickness and modulus of elasticity of each layer. The thickness of the inner layer significantly affects the number of folds and the critical buckling load. The influence of the thickness of the outer layer and the ratio of the two moduli of elasticity was also examined, but their effect was not as strong as that of the thickness of the inner layer.
Skip Nav Destination
e-mail: george.papadakis@kcl.ac.uk
Article navigation
August 2010
Research Papers
Linear Stability Analysis and Buckling of Two-Layered Shells Under External Circumferential Loading: A Numerical Investigation
George Papadakis
George Papadakis
Department of Mechanical Engineering,
e-mail: george.papadakis@kcl.ac.uk
King’s College London
, London WC2R 2LS, U.K.
Search for other works by this author on:
George Papadakis
Department of Mechanical Engineering,
King’s College London
, London WC2R 2LS, U.K.e-mail: george.papadakis@kcl.ac.uk
J. Pressure Vessel Technol. Aug 2010, 132(4): 041301 (7 pages)
Published Online: July 21, 2010
Article history
Received:
October 8, 2009
Revised:
April 15, 2010
Online:
July 21, 2010
Published:
July 21, 2010
Citation
Papadakis, G. (July 21, 2010). "Linear Stability Analysis and Buckling of Two-Layered Shells Under External Circumferential Loading: A Numerical Investigation." ASME. J. Pressure Vessel Technol. August 2010; 132(4): 041301. https://doi.org/10.1115/1.4001638
Download citation file:
Get Email Alerts
Cited By
The Behavior of Elbow Elements at Pure Bending Applications Compared to Beam and Shell Element Models
J. Pressure Vessel Technol (February 2025)
Related Articles
Theory of Elastic Stability: Analysis and Sensitivity
Appl. Mech. Rev (January,2002)
Non-Classical Problems in the Theory of Elastic Stability
Appl. Mech. Rev (September,2001)
End Effects in Prestrained Plates Under Compression
J. Appl. Mech (November,2004)
An Elasticity Solution for the Global Buckling of Sandwich Beams/Wide Panels With Orthotropic Phases
J. Appl. Mech (March,2010)
Related Proceedings Papers
Related Chapters
Some Laws to Affect the Results in Numerical Calculus
International Conference on Advanced Computer Theory and Engineering, 4th (ICACTE 2011)
Fundamentals of Finite Element and Finite Volume Methods
Compact Heat Exchangers: Analysis, Design and Optimization using FEM and CFD Approach
Subsection NE—Class MC Components
Companion Guide to the ASME Boiler & Pressure Vessel Codes, Volume 1 Sixth Edition