0
Journal of Pressure Vessel Technology | Volume 132 | Issue 4 | Research Paper
Research Papers: Fluid-Structure Interaction

Linear Stability Analysis and Buckling of Two-Layered Shells Under External Circumferential Loading: A Numerical Investigation

[+] Author and Article Information
George Papadakis

Department of Mechanical Engineering, King’s College London, London WC2R 2LS, U.K.george.papadakis@kcl.ac.uk

J. Pressure Vessel Technol 132(4), 041301 (Jul 21, 2010) (7 pages) doi:10.1115/1.4001638 History: Received October 08, 2009; Revised April 15, 2010; Published July 21, 2010; Online July 21, 2010
Article
References
Figures
Tables

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.
FIGURES IN THIS ARTICLE
<>
Copyright © 2010 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
+Airway wall deformation under imposed circumferential strain eθθ
View Large  |  Save Figure  |  Download Slide (.ppt)
Airway wall deformation under imposed circumferential strain eθθ
Figure 1

Airway wall deformation under imposed circumferential strain eθθ

Grahic Jump Location
+Comparison between measurements and predictions for the most unstable mode number: (a) cases 1–12 and (b) cases 13–24
View Large  |  Save Figure  |  Download Slide (.ppt)
Comparison between measurements and predictions for the most unstable mode number: (a) cases 1–12 and (b) cases 13–24
Figure 2

Comparison between measurements and predictions for the most unstable mode number: (a) cases 1–12 and (b) cases 13–24

Grahic Jump Location
+Critical load against mode number: (a) circumferential strain loading and (b) hydrostatic pressure loading (ti/R=0.1).
View Large  |  Save Figure  |  Download Slide (.ppt)
Critical load against mode number: (a) circumferential strain loading and (b) hydrostatic pressure loading (ti/R=0.1).
Figure 3

Critical load against mode number: (a) circumferential strain loading and (b) hydrostatic pressure loading (ti/R=0.1).

Grahic Jump Location
+Displacement eigen-functions for (a) radial component and (b) circumferential component (pressure loading ti/R=0.1)
View Large  |  Save Figure  |  Download Slide (.ppt)
Displacement eigen-functions for (a) radial component and (b) circumferential component (pressure loading ti/R=0.1)
Figure 4

Displacement eigen-functions for (a) radial component and (b) circumferential component (pressure loading ti/R=0.1)

Grahic Jump Location
+Displacement eigen-functions for (a) radial component and (b) circumferential component (circumferential strain loading ti/R=0.1)
View Large  |  Save Figure  |  Download Slide (.ppt)
Displacement eigen-functions for (a) radial component and (b) circumferential component (circumferential strain loading ti/R=0.1)
Figure 5

Displacement eigen-functions for (a) radial component and (b) circumferential component (circumferential strain loading ti/R=0.1)

Grahic Jump Location
+Critical load against mode number (a) circumferential strain loading and (b) hydrostatic pressure loading (ti/R=0.05)
View Large  |  Save Figure  |  Download Slide (.ppt)
Critical load against mode number (a) circumferential strain loading and (b) hydrostatic pressure loading (ti/R=0.05)
Figure 6

Critical load against mode number (a) circumferential strain loading and (b) hydrostatic pressure loading (ti/R=0.05)

Grahic Jump Location
+Variation in the preferred number of folds against normalized thickness of the internal layer
View Large  |  Save Figure  |  Download Slide (.ppt)
Variation in the preferred number of folds against normalized thickness of the internal layer
Figure 7

Variation in the preferred number of folds against normalized thickness of the internal layer

Grahic Jump Location
+Variation in the preferred number of folds against normalized thickness of the outer layer
View Large  |  Save Figure  |  Download Slide (.ppt)
Variation in the preferred number of folds against normalized thickness of the outer layer
Figure 8

Variation in the preferred number of folds against normalized thickness of the outer layer

Grahic Jump Location
+Variation in the preferred number of folds against the ratio of moduli of elasticity of the two layers
View Large  |  Save Figure  |  Download Slide (.ppt)
Variation in the preferred number of folds against the ratio of moduli of elasticity of the two layers
Figure 9

Variation in the preferred number of folds against the ratio of moduli of elasticity of the two layers

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Clamping, Interference, Microslip, and Self-Piercing Rivets
Structural Shear Joints> Chapter 3
Various Structures
Design of Plate and Shell Structures> Chapter 12
Axially Loaded Members
Design & Analysis of ASME Boiler and Pressure Vessel Components in the Creep Range> Chapter 2
Openings
Guidebook for the Design of ASME Section VIII Pressure Vessels> Chapter 5
Members in Compression
Design & Analysis of ASME Boiler and Pressure Vessel Components in the Creep Range> Chapter 7
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In