Static stability study of stiffened functionally graded composite plates reinforced by carbon nanotubes using finite element method
Keywords:stability, nanotubes reinforced, unstable regions, stiffened
This paper presents some results on the linear stability research of Stiffened Functionally Graded Carbon NanoTube-Reinforced Composite (SFG-CNTRC) plates under static in-plane loads by the Finite Element Method (FEM) and a new four-variable refined plate theory. The governing equations for the static buckling of the system are obtained by the new four-variable refined plate theory and FEM. The eigenvalue problem method was used to solve the equation to determine the critical force of the plates. A numerical example is compared with the results in another research to check the validity of the present algorithm. The influences of some factors such as plate theory, CNT distribution along the layer thickness, stiffener height ratio, and fiber orientation angle on the critical buckling loads and unstable regions are discussed.
Z. X. Lei, K. M. Liew, and J. L. Yu. Buckling analysis of functionally graded carbon nanotubereinforced composite plates using the element-free kp-Ritz method. Composite Structures, 98, (2013), pp. 160–168. DOI: https://doi.org/10.1016/j.compstruct.2012.11.006
N. T. Chung, H. X. Luong, and N. T. T. Xuan. Dynamic stability analysis of laminated composite plates with piezoelectric layers. Vietnam Journal of Mechanics, 36, (2014), pp. 95–107. DOI: https://doi.org/10.15625/0866-7136/36/2/3467
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: https://doi.org/10.1016/j.compositesb.2015.01.033
R. Moradi-dastjerdi and H. Malek-Mohammadi. Free vibration and buckling analyses of functionally graded nanocomposite plates reinforced by carbon nanotube. Mechanics of Advanced Composite Structures, 4, (1), (2017), pp. 59–73.
Omer Civalek and M. Avcar. Free vibration and buckling analyses of CNT reinforced laminated non-rectangular plates by discrete singular convolution method. Engineering with Computers, 38, (2020), pp. 489–521. DOI: https://doi.org/10.1007/s00366-020-01168-8
A. M. Bash, S. E. Mnawe, and S. A. Salah. Numerical buckling analysis of carbon fibre-epoxy composite plates with different cutouts number by finite element method. AIMS Materials Science, 7, (1), (2020), pp. 46–59. DOI: https://doi.org/10.3934/matersci.2020.1.46
N. V. Thanh. Nonlinear static stability of stiffened nanocomposite plate s subjected various types of loads. VNU Journal of Science: Mathematics - Physics, 38, (2022). DOI: https://doi.org/10.25073/2588-1124/vnumap.4685
T. Q. Minh, V. M. Duc, D. T. Dong, and V. H. Nam. Nonlinear buckling analysis of higherorder shear deformable FG-CNTRC plates stiffened by oblique FG-CNTRC stiffeners. Vietnam Journal of Mechanics, 44, (2022), pp. 431–444. DOI: https://doi.org/10.15625/0866-7136/17933
Z. Liu, C. Wang, G. Duan, and J. Tan. Isogeometric analysis of functionally graded CNT-reinforced composite plates based on refined plate theory. Journal of Mechanical Science and Technology, 34, (2020), pp. 3687–3700. DOI: https://doi.org/10.1007/s12206-020-0821-0
N. E. Meiche, A. Tounsi, N. Ziane, I. Mechab, and E. A. Adda.Bedia. A new hyperbolic shear deformation theory for buckling and vibration of functionally graded sandwich plate. International Journal of Mechanical Sciences, 53, (2011), pp. 237–247. DOI: https://doi.org/10.1016/j.ijmecsci.2011.01.004
H.-T. Thai and T. P. Vo. A new sinusoidal shear deformation theory for bending, buckling, and vibration of functionally graded plates. Applied Mathematical Modelling, 37, (2013), pp. 3269–3281. DOI: https://doi.org/10.1016/j.apm.2012.08.008
H.-T. Thai and S.-E. Kim. A simple higher-order shear deformation theory for bending and free vibration analysis of functionally graded plates. Composite Structures, 96, (2013), pp. 165–173. DOI: https://doi.org/10.1016/j.compstruct.2012.08.025
T. H. Daouadji, A. Tounsi, and E. A. A. Bedia. A new higher order shear deformation model for static behavior of functionally graded plates. Advances in Applied Mathematics and Mechanics, 5, (2013), pp. 351–364. DOI: https://doi.org/10.4208/aamm.11-m11176
N. T. Chung, D. T. N. Thu, and L. X. Thuy. Dynamic analysis of stiffened functionally graded composite plates reinforced by carbon nanotubes subjected to blast loads using a new fourvariable refined plate theory. International Journal of Computational Materials Science and Engineering, 12, (2022). DOI: https://doi.org/10.1142/S2047684123500045
B. A. M. M. Selim, Z. Liu, and K. M. Liew. Active control of functionally graded carbon nanotube–reinforced composite plates with piezoelectric layers subjected to impact loading. Journal of Vibration and Control, 26, (2019), pp. 581–598. DOI: https://doi.org/10.1177/1077546319889849
H. Mallek, H. Jrad, M. Wali, A. Kessentini, F. Gamaoun, and F. Dammak. Dynamic analysis of functionally graded carbon nanotube–reinforced shell structures with piezoelectric layers under dynamic loads. Journal of Vibration and Control, 26, (2019), pp. 1157–1172. DOI: https://doi.org/10.1177/1077546319892753
F. Ebrahimi and A. Dabbagh. Mechanics of nanocomposites: homogenization and analysis. CRC Press, (2020). DOI: https://doi.org/10.1201/9780429316791
H. Q. Tran, V. T. Vu, M. T. Tran, and P. Nguyen-Tri. A new four-variable refined plate theory for static analysis of smart laminated functionally graded carbon nanotube reinforced composite plates. Mechanics of Materials, 142, (2020). DOI: https://doi.org/10.1016/j.mechmat.2019.103294
J. N. Reddy. Mechanics of laminated composite plates and shells. CRC Press, (2003). DOI: https://doi.org/10.1201/b12409
N. N. Thuy and N. T. Chung. Dynamic analysis of smart stiffened composite plates using higher order theory. In Proceedings of the 10th National Conference on Mechanics, Vietnam, (2017), pp. 1197–1204.
S. Stoykov and P. Ribeiro. Stability of nonlinear periodic vibrations of 3D beams. Nonlinear Dynamics, 66, (2011), pp. 335–353. DOI: https://doi.org/10.1007/s11071-011-0150-z
S. K. Georgantzinos, P. A. Antoniou, G. I. Giannopoulos, A. Fatsis, and S. I. Markolefas. Design of laminated composite plates with carbon nanotube inclusions against buckling: waviness and agglomeration effects. Nanomaterials, 11, (2021). DOI: https://doi.org/10.3390/nano11092261
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