Nonlinear buckling analysis of higher-order shear deformable FG-CNTRC plates stiffened by oblique FG-CNTRC stiffeners

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buckling and postbuckling, nonlinear, functionally graded carbon nanotube-reinforced composite, plate, higher-order shear deformation theory, oblique stiffener


The nonlinear buckling analysis of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) plates subjected to axial compression load is analytically examined in this paper. Assuming that the FG-CNTRC plates are stiffened by an oblique FG-CNTRC stiffener system. Reddy’s higher-order shear deformation plate theory (HSDPT) with the geometrical nonlinearities of von Kármán is applied to establish the basic formulations. Moreover, the smeared stiffener technique is successfully improved for the higher-order shear deformable anisotropic oblique stiffener system by using a homogeneous model of the anisotropic beam. Galerkin’s method is used to achieve the expressions of critical buckling loads and postbuckling load-deflection curves in explicit form. The numerical values display the influences of FG-CNTRC stiffeners, material, and geometrical properties on the nonlinear buckling response of plates.


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H.-S. Shen and Z. H. Zhu. Buckling and postbuckling behavior of functionally graded nanotube-reinforced composite plates in thermal environments. Computers, Materials & Continua (CMC), 18, (2), (2010), pp. 155–182.

L. W. Zhang, Z. X. Lei, and K. M. Liew. Buckling analysis of FG-CNT reinforced composite thick skew plates using an element-free approach. Composites Part B: Engineering, 75, (2015), pp. 36–46. DOI:

S. Zghal, A. Frikha, and F. Dammak. Mechanical buckling analysis of functionally graded power-based and carbon nanotubes-reinforced composite plates and curved panels. Composites Part B: Engineering, 150, (2018), pp. 165–183. DOI:

H.-S. Shen and C.-L. Zhang. Thermal buckling and postbuckling behavior of functionally graded carbon nanotube-reinforced composite plates. Materials & Design, 31, (2010), pp. 3403–3411. DOI:

M. Mirzaei and Y. Kiani. Thermal buckling of temperature dependent FG-CNT reinforced composite plates. Meccanica, 51, (2015), pp. 2185–2201. DOI:

H.-S. Shen and H. Wang. Nonlinear vibration of compressed and thermally postbuckled nanotube-reinforced composite plates resting on elastic foundations. Aerospace Science and Technology, 64, (2017), pp. 63–74. DOI:

M. Mirzaei and Y. Kiani. Nonlinear free vibration of FG-CNT reinforced composite plates. Structural Engineering and Mechanics, 64, (3), (2017), pp. 381–390.

V. H. Nam, D. T. Dong, N. T. Phuong, and H. D. Tuan. Nonlinear thermo-mechanical stability of multilayer-FG plates reinforced by orthogonal and oblique stiffeners according to FSDT. Journal of Reinforced Plastics and Composites, 38, (2019), pp. 521–536. DOI:

V. H. Nam, N. T. Phuong, D. T. Dong, N. T. Trung, and N. V. Tue. Nonlinear thermomechanical buckling of higher-order shear deformable porous functionally graded material plates reinforced by orthogonal and/or oblique stiffeners. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 233, (2019), pp. 6177–6196. DOI:

D. T. Dong, V. H. Nam, N. T. Trung, N. T. Phuong, and V. T. Hung. Nonlinear thermomechanical buckling of sandwich FGM oblique stiffened plates with nonlinear effect of elastic foundation. Journal of Thermoplastic Composite Materials, 35, (2020), pp. 1441–1467. DOI:

C. M. Wang, J. N. Reddy, and K. H. Lee. Introduction. In Shear Deformable Beams and Plates, pp. 1–7. Elsevier, (2000). DOI:






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