The buckling of simply supported laminated composite plates is studied using various higher-order shear deformation theories. A Navier-type analytical method is used to solve the governing differential equations. The critical buckling loads of simply supported laminated composite plates under a uniaxial buckling load are calculated. The present results are compared with available published results to verify the accuracy of the higher-order shear deformation theories considered.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
M. Aydogdu, “A new shear deformation theory for laminated composite plates,” Composite Structures., 89, 94–101 (2009).
N. Grover, D. K. Maiti, and B. N. Singh, “A new inverse hyperbolic shear deformation theory for static and buckling analysis of laminated composite and sandwich plates,” Composite Structures, 95, 667–675 (2013).
P. Malekzadeh and M. Shojaee, “Buckling analysis of quadrilateral laminated plates with carbon nanotubes reinforced composite layers,” Thin-Walled Structures, 71, 108–118 (2013).
U. Topal and Ü. Uzman, “Optimum design of laminated composite plates to maximize buckling load using MFD method,” Thin-Walled Structures, 45, 660–669 (2007).
I. Shufrin, O. Rabinovitch, and M. Eisenberger, “Buckling of laminated plates with general boundary conditions under combined compression, tension, and shear. A semi-analytical solution,” Thin-Walled Structures, 46, 925–938 (2008).
L. C. Shiau, S. Y. Kuo, and C. Y. Chen, “Thermal buckling behavior of composite laminated plates,” Composite Structures, 92, 508–514 (2010).
U. Topal and Ü. Uzman, “Multiobjective optimization of angle-ply laminated plates for maximum buckling load,” Finite Elements in Analysis and Design, 46, 273–279 (2010).
E. J. Barbero, A. Madeo, G. Zagari, R. Zinno, and G. Zucco, “A mixed isostatic 24 dof element for static and buckling analysis of laminated folded plates,” Composite Structures, 116, 223–234 (2014).
Z. Wu and W. J. Chen, “Thermomechanical buckling of laminated composite and sandwich plates using global–local higher order theory,” Int. J. of Mech. Sci., 49, 712–721 (2007).
10.J. Xie, Q. Q. Ni, and I. Masaharu, “Buckling analysis of laminated composite plates with internal supports,” Composite Structures, 69, 201–208 (2005).
Q. Q. Ni, J. Xie, and I. Masaharu, “Buckling analysis of laminated composite plates with arbitrary edge supports,” Composite Structures, 69, 209–217 (2005).
M. Touratier, “An efficient standard plate theory,” Int. J. Eng. Sci., 29, No. 8, 901–916 (1991).
J. L. Mantari, A. S. Oktem, and C. G. Soares, “A new higher order shear deformation theory for sandwich and composite laminated plates,” Composites: Part B, 43, 1489–1499 (2012).
M. Karama, K. S. Afaq, and S. Mistou, “Mechanical behaviour of laminated composite beam by new multi-layered laminated composite structures model with transverse shear stress continuity,” Int. J. Solids Struct., 40, 1525–1546 (2003).
M. Levinson, “An accurate simple theory of static and dynamics of elastic plates,” Mech. Res. Commun., 7, 343–350 (1980).
A. J. M. F. Ferreira, C. M. C. Roque, A. M. A. Neves, R. M. N. Jorge, C. M. M. Soares, and J. N. Reddy, “Buckling analysis of isotropic and laminated plates by radial basis functions according to a higher-order shear deformation theory,” Thin-Walled Structures, 49, 804–811 (2011).
N. S. Putcha and J. N. Reddy, “Stability and natural vibration analysis of laminated plates by using a mixed element based on a refined plate theory,” J. of Sound and Vibration, 104, No. 2, 285–300 (1986).
J. N. Reddy and N. D. Phan, “Stability and vibration of isotropic, orthotropic and laminated plates according to a higher-order shear deformation theory,” J. of Sound and Vibration, 98, No. 2, 157–170 (1985).
Acknowledgements
This work was financially supported by the Scientific Research Foundation project of Liaoning provincial education department (L2013073), the Science and Technology Department Foundation project of Liaoning Province (2012220013), and the National Natural Science Foundation of China (51306126 ).
Author information
Authors and Affiliations
Corresponding author
Additional information
Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 51, No. 5, pp. 911–922 , September-October, 2015.
Rights and permissions
About this article
Cite this article
Xiang, S., Wang, J., Ai, Y.T. et al. Buckling Analysis of Laminated Composite Plates by Using Various Higher-Order Shear Deformation Theories. Mech Compos Mater 51, 645–654 (2015). https://doi.org/10.1007/s11029-015-9534-3
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11029-015-9534-3