Buckling Analysis of Nonlocal Anisotropic Thin-Walled Cylindrical Shells Subject to Combined Loading
Publication: Journal of Engineering Mechanics
Volume 142, Issue 12
Abstract
The equilibrium governing equations of nonlocal anisotropic thin-walled circular cylindrical shell under combined axial compressive force, torsional load, and external pressure are explicitly derived. This is accomplished by appropriately combining the equilibrium equations and the strain-displacement relations according to Flügge’s shell theory and the stress-stain equations of Eringen’s nonlocal elasticity theory. An analytical solution for the buckling of the shells is presented by using the complex method. This model is validated by a good agreement between the results given by the present model and available data in the literature. Furthermore, the model is utilized to elucidate the buckling properties for different load combinations.
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References
Allahbakhsh, H., and Shariati, M. (2014). “Instability of cracked CFRP composite cylindrical shells under combined loading.” Thin-Wall. Struct., 74(1), 28–35.
Ansari, R., Sahmani, S., and Rouhi, H. (2011). “Rayleigh-Ritz axial buckling analysis of single-walled carbon nanotubes with different boundary conditions.” Phys. Lett. A, 375(9), 1255–1263.
Eringen, A. C. (1972). “Linear theory of nonlocal elasticity and dispersion of plane-waves.” Int. J. Eng. Sci., 10(3), 233–248.
Eringen, A. C. (1983). “On differential-equations of nonlocal elasticity and solutions of screw dislocation and surface-waves.” J. Appl. Phys., 54(9), 4703–4710.
Fazelzadeh, S. A., and Ghavanloo, E. (2012). “Nonlocal anisotropic elastic shell model for vibrations of single-walled carbon nanotubes with arbitrary chirality.” Compos. Struct., 94(3), 1016–1022.
Ghavanloo, E., and Fazelzadeh, S. A. (2013). “Effect of temperature change on the radial breathing mode frequency of single-walled carbon nanotubes.” Nano, 8(5), 1350057.
Khademolhosseini, F., Rajapakse, R. K. N. D., and Nojeh, A. (2010). “Torsional buckling of carbon nanotubes based on nonlocal elasticity shell models.” Compos. Mater. Sci., 48(4), 736–742.
Kirshnamoorthy, G. (1974). “Buckling of thin cylinders under combined external pressure and axial compression.” J. Aircraft, 11(2), 65–68.
Lam, K. Y., and Qian, W. (2000). “Free vibration of symmetric angle-ply thick laminated composite cylindrical shells.” Compos. Part B, 31(4), 345–354.
Peddieson, J., Buchanan, G. R., and McNitt, R. P. (2003). “Application of nonlocal continuum models to nanotechnology.” Int. J. Eng. Sci., 41(3–5), 305–312.
Rafii-Tabar, H., Ghavanloo, E., and Fazelzadeh, S. A. (2016). “Nonlocal continuum-based modeling of mechanical characteristics of nanoscopic structures.” Phys. Rep., 638(1), 1–97.
Sun, C., and Liu, K. (2008). “Combined torsional buckling of multi-walled carbon nanotubes coupling with axial loading and radial pressures.” Int. J. Solids Struct., 45(7-8), 2128–2139.
Sun, J., Xu, X. S., and Lim, C. W. (2013). “Symplectic method for dynamic buckling of cylindrical shells under combined loading.” Int. J. Appl. Mech., 5(4), 1350042.
Wang, X., Lu, G. X., and Lu, Y. J. (2007). “Buckling of embedded multi-walled carbon nanotubes under combined torsion and axial loading.” Int. J. Solids Struct., 44(1), 336–351.
Winterstetter, T. A., and Schmidt, H. (2002). “Stability of circular cylindrical steel shells under combined loading.” Thin-Wall. Struct., 40(10), 893–910.
Yao, X. H., and Sun, Y. G. (2012). “Combined bending stability of carbon nanotubes subjected to thermo-electro-mechanical loadings.” Comput. Mater. Sci., 54(1), 135–144.
Yoo, C. H., and Lee, S. C. (2011). Stability of structures, Elsevier, Amsterdam, Netherlands.
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© 2016 American Society of Civil Engineers.
History
Received: Apr 30, 2016
Accepted: Jul 7, 2016
Published online: Aug 25, 2016
Published in print: Dec 1, 2016
Discussion open until: Jan 25, 2017
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