Skip to main content Accessibility help
×
Home

Interlayer Coupling Effect on Buckling Modes of Spherical Bilayers

  • M. Sato (a1), Y. Konishi (a2) and S.-J. Park (a3)

Abstract

This study examined the critical buckling characteristics of hydrostatically pressurized double-walled complete spherical shells. An analytical model based on small deflection thin shell theory is presented; the equations are solved in conjunction with variational principles. Axisymmetric and inextensional assumptions are not initially used in the exact formulation. This approach therefore avoids any discussion about the validity of the solution and allows the model to be extended to cover more generic nonaxisymmetric cases with relative ease. The analytical results are presented using illustrative buckling modes. Based on the developed formulation, only axisymmetric eigenmodes were found to occur despite the inclusion of the effect of interactions between outer and inner shells. Critical modes that are symmetric or antisymmetric about the equator may be determined depending on the combination of the stiffness connecting the outer and inner shells and the radius-to-wall thickness ratios.

Copyright

Corresponding author

*Corresponding author (sjpark8775@yahoo.co.jp)

References

Hide All
1.Thompson, J. M. T., “The Elastic Instability of a Complete Spherical Shell,” Aeronautics Q, 13, pp. 189201 (1962).
2.Hutchinson, J. W., “Imperfection-Sensitivity of Externally Pressurized Spherical Shells,” Journal of Applied Mechanics Transaction, 34, pp. 4955 (1960).
3.Koiter, W. T., “The Nonlinear Buckling Problem of a Complete Spherical Shell Under Uniform External Pressure,” Proceedings of the Royal Netherlands Academy of Sciences, B 72, pp. 40123 (1969).
4.Tarnai, T., “Buckling Patterns of Shells and Spherical Honeycomb Structures,” Communications Mathematical Applied, 17, pp. 639652 (1989).
5.Baowan, D., Thamwattana, N. and Hill, J. M., “Continuum Modeling of Spherical and Spheroidal Carbon Onion,” European Physical Journal, D 44, pp. 117123 (2007).
6.Ru, C. Q., “Buckling of Empty Spherical Viruses Under External Pressure,” Journal Applied Physics, 105, pp. 124701_1124701_3 (2009).
7.Yin, J., Cao, Z., Li, C., Sheinman, I. and Chen, X., “Stress-Driven Buckling Patterns in Spheroidal Core/Shell Structures,” Proceedings of the National Academy of Sciences of the United States of America, 105, pp. 1913219135 (2008).
8.Sato, M., Wadee, M. A., Iiboshi, K., Sekizawa, T. and Shima, H., “Buckling Patterns of Complete Spherical Shells Filled with an Elastic Medium Under External Pressure,” International Journal of Mechanical Sciences, 59, pp. 2230 (2012).
9.Los, J. H., Pineau, N., Chevrot, G., Vignoles, G. and Leyssale, J. M., “Formation of Multiwall Fullerenes from Nanodiamonds Studied by Atomistic Simulations,” Physical Review B, 80, pp. 155420_1 -155420_5 (2009).
10.Pudlak, M. and Pincak, R., “Energy Gap Between Highest Occupied Molecular Orbital and Lowest Unoccupied Molecular Orbital in Multiwalled Fullerenes,” Physical Review A, 79, pp. 033202_1033202_5 (2009).
11.Trallero-Giner, C., Comas, F., Marques, G. E., Tall-man, R. E. and Weinstein, B. A., “Optical Phonons in Spherical Core/Shell Semiconductor Nanoparti-cles: Effect of Hydrostatic Pressure,” Physical Review, B 82, pp. 205426_1205426_14 (2010).
12.Prodan, E., Radloff, C., Halas, N. J. and Nordlander, P., “A Hybridization Model for the Plasmon Response of Complex Nanostructures,” Science, 302, pp. 419422 (2003).
13.Brush, D. O. and Almroth, B. O., Buckling of Bars, Plates, and Shells, McGraw-Hill, New York, USA (1975)

Keywords

Interlayer Coupling Effect on Buckling Modes of Spherical Bilayers

  • M. Sato (a1), Y. Konishi (a2) and S.-J. Park (a3)

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed