This paper deals with an analytical approach of the buckling behavior of a functionally graded circular cylindrical shell under axial pressure with external axial and circumferential stiffeners. The shell properties are assumed to vary continuously through the thickness direction. Fundamental relations and equilibrium and stability equations are derived using the third-order shear deformation theory. The resulting equations are employed to obtain the closed-form solution for the critical buckling loads. A simply supported boundary condition is considered for both edges of the shell. The comparison of the results of this study with those in the literature validates the present analysis. The effects of material composition (volume fraction exponent), of the number of stiffeners and of shell geometry parameters on the characteristics of the critical buckling load are described. The analytical results are compared and validated using the finite-element method. The results show that the inhomogeneity parameter, the geometry of the shell and the number of stiffeners considerably affect the critical buckling loads.
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Hossein Farahani 1; Reza Azarafza 2; Farzan Barati 3
@article{CRMECA_2014__342_9_501_0,
author = {Hossein Farahani and Reza Azarafza and Farzan Barati},
title = {Mechanical buckling of a functionally graded cylindrical shell with axial and circumferential stiffeners using the third-order shear deformation theory},
journal = {Comptes Rendus. M\'ecanique},
pages = {501--512},
publisher = {Elsevier},
volume = {342},
number = {9},
year = {2014},
doi = {10.1016/j.crme.2014.04.001},
language = {en},
}
TY - JOUR AU - Hossein Farahani AU - Reza Azarafza AU - Farzan Barati TI - Mechanical buckling of a functionally graded cylindrical shell with axial and circumferential stiffeners using the third-order shear deformation theory JO - Comptes Rendus. Mécanique PY - 2014 SP - 501 EP - 512 VL - 342 IS - 9 PB - Elsevier DO - 10.1016/j.crme.2014.04.001 LA - en ID - CRMECA_2014__342_9_501_0 ER -
%0 Journal Article %A Hossein Farahani %A Reza Azarafza %A Farzan Barati %T Mechanical buckling of a functionally graded cylindrical shell with axial and circumferential stiffeners using the third-order shear deformation theory %J Comptes Rendus. Mécanique %D 2014 %P 501-512 %V 342 %N 9 %I Elsevier %R 10.1016/j.crme.2014.04.001 %G en %F CRMECA_2014__342_9_501_0
Hossein Farahani; Reza Azarafza; Farzan Barati. Mechanical buckling of a functionally graded cylindrical shell with axial and circumferential stiffeners using the third-order shear deformation theory. Comptes Rendus. Mécanique, Volume 342 (2014) no. 9, pp. 501-512. doi : 10.1016/j.crme.2014.04.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2014.04.001/
[1] Buckling and postbuckling behavior of cylindrical shells under combined external pressure and axial compression, Thin-Walled Struct., Volume 12 (1991), pp. 321-334
[2] A survey of recent progress in the theory of elastic shells, Appl. Mech. Rev., Volume 9 (1956), pp. 365-368
[3] Dynamics of composite and sandwich panels – parts I and II, Shock Vib. Dig., Volume 8 (1976), pp. 37-48
[4] Stress–strain relations in the theory of thin elastic shells, J. Math. Phys., Volume 31 (1952), pp. 109-119
[5] Laminated transversely isotropic cylindrical shells, J. Appl. Mech., Volume 38 (1971), pp. 400-407
[6] On the theory of laminated anisotropic shells and plates, J. Aerosp. Sci., Volume 29 (1962), pp. 969-975
[7] On a laminated orthotropic shell theory including transverse shear deformation, J. Appl. Mech., Volume 39 (1972), pp. 1091-1096
[8] A higher-order shear deformation theory of laminated elastic shells, Int. J. Eng. Sci., Volume 23 (1985), pp. 319-330
[9] Bending of laminated anisotropic shells by a shear deformable finite element, Fibre Sci. Technol., Volume 17 (1982), pp. 9-24
[10] Buckling and post-buckling behavior of cylindrical shells under combined external pressure and axial compression, Thin-Walled Struct., Volume 12 (1991), pp. 321-334
[11] Effect of eccentricity of stiffeners on the general instability of stiffened cylindrical shells under hydrostatic pressure, J. Mech. Eng. Sci., Volume 5 (1963), pp. 23-27
[12] Post-buckling analysis of stiffened cylindrical shells under combined external pressure and axial compression, Thin-Walled Struct., Volume 15 (1993), pp. 43-63
[13] Stiffened plates and cylindrical shells under interactive buckling, Finite Elem. Anal. Des., Volume 38 (2001), pp. 155-178
[14] General solution for nonlinear buckling of nonhomogeneous axial symmetric ring- and stringer-stiffened cylindrical shells, Comput. Struct., Volume 34 (1990) no. 4, pp. 585-591
[15] Buckling analysis of stringer-stiffened laminated cylindrical shells with nonuniform eccentricity, Arch. Appl. Mech., Volume 81 (2011), pp. 875-886
[16] Mechanics of Laminated Composite Plates and Shells, Theory Anal., CRC Press LLC, Boca Raton, FL, USA, 2004
[17] Buckling of Bars, Plates and Shells, McGraw-Hill, New York, 1975
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