Stability Analysis of FGCNT Beams with Imperfections


  • Pranav Kumar Department of Civil Engineering, National Institute of Technology Patna, India
  • Ajay Kumar Department of Civil Engineering, National Institute of Technology Delhi, India
Volume: 13 | Issue: 4 | Pages: 11326-11331 | August 2023 |


Functionally Graded Carbon Nanotube (FG CNT) reinforced curved beams are being used nowadays in different structural applications due to their properties although they have stability issues due to geometric imperfections that affect the load-bearing capacity of the beam and residual strength, hence a geometric imperfection is being introduced as a hollow trapezoidal layer is incorporated in the curved beam design to get better strength. Hence a new frictional endo-stratified thermal model is proposed to analyze the frictional effect between interface layers with the help of elastic and plastic deformation of the curved beam. Thus, analysis is done in ABAQUS using a finite element model to determine the stability due to frictional characteristics. The proposed design is giving better results than existing designs with higher specific gravity and tensile strength.


functionally graded CNT, reinforced curved beams, friction behavior, delamination, thermal behavior


Download data is not yet available.


M. J. Mirzaali et al., "Mechanics of bioinspired functionally graded soft-hard composites made by multi-material 3D printing," Composite Structures, vol. 237, Apr. 2020, Art. no. 111867.

Z. Cheng, Z. Sui, H. Yin, and H. Feng, "Numerical simulation of dynamic fracture in functionally graded materials using peridynamic modeling with composite weighted bonds," Engineering Analysis with Boundary Elements, vol. 105, pp. 31–46, Aug. 2019.

M. Rezaiee-Pajand, E. Arabi, and A. R. Masoodi, "Nonlinear analysis of FG-sandwich plates and shells," Aerospace Science and Technology, vol. 87, pp. 178–189, Apr. 2019.

M. Malikan, V. A. Eremeyev, and K. K. Zur, "Effect of Axial Porosities on Flexomagnetic Response of In-Plane Compressed Piezomagnetic Nanobeams," Symmetry, vol. 12, no. 12, Dec. 2020, Art. no. 1935.

R. Hron, M. Kadlec, and R. Ruzek, "Effect of the Test Procedure and Thermoplastic Composite Resin Type on the Curved Beam Strength," Materials, vol. 14, no. 2, Jan. 2021, Art. no. 352.

E. K. Njim, M. Al-Waily, and S. H. Bakhy, "A Critical Review of Recent Research of Free Vibration and Stability of Functionally Graded Materials of Sandwich Plate," IOP Conference Series: Materials Science and Engineering, vol. 1094, no. 1, Oct. 2021, Art. no. 012081.

Z. Li and J. Zheng, "Nonlinear stability of the encased functionally graded porous cylinders reinforced by graphene nanofillers subjected to pressure loading under thermal effect," Composite Structures, vol. 233, Feb. 2020, Art. no. 111584.

N. R. Kolanu, G. Raju, and M. Ramji, "A unified numerical approach for the simulation of intra and inter laminar damage evolution in stiffened CFRP panels under compression," Composites Part B: Engineering, vol. 190, Jun. 2020, Art. no. 107931.

S. Minakuchi, K. Sawaguchi, K. Takagaki, S. Niwa, and N. Takeda, "Effect of inter-laminar toughened layers on process-induced strain and deformation of L-shaped composites," Advanced Composite Materials, vol. 28, no. 5, pp. 445–461, Sep. 2019.

M. Arefi, S. Firouzeh, E. Mohammad-Rezaei Bidgoli, and O. Civalek, "Analysis of porous micro-plates reinforced with FG-GNPs based on Reddy plate theory," Composite Structures, vol. 247, Sep. 2020, Art. no. 112391.

F. Tornabene, M. Viscoti, R. Dimitri, and M. A. Aiello, "Higher order formulations for doubly-curved shell structures with a honeycomb core," Thin-Walled Structures, vol. 164, Jul. 2021, Art. no. 107789.

F. Tornabene, M. Viscoti, R. Dimitri, and J. N. Reddy, "Higher order theories for the vibration study of doubly-curved anisotropic shells with a variable thickness and isogeometric mapped geometry," Composite Structures, vol. 267, Jul. 2021, Art. no. 113829.

H. Luinge and L. L. Warnet, "On an application of multi-material composite laminates in the aerospace sector," Advanced Composites and Hybrid Materials, vol. 3, no. 3, pp. 294–302, Sep. 2020.

T. D. Hien, N. D. Hung, N. T. Hiep, G. V. Tan, and N. V. Thuan, "Finite Element Analysis of a Continuous Sandwich Beam resting on Elastic Support and Subjected to Two Degree of Freedom Sprung Vehicles," Engineering, Technology & Applied Science Research, vol. 13, no. 2, pp. 10310–10315, Apr. 2023.

N. T. Hiep, D. S. Dan, N. D. Diem, and D. N. Tien, "NURBS-based Isogeometric Analysis and Refined Plate Theory Application on a Functionally Graded Plate Subjected to Random Loads," Engineering, Technology & Applied Science Research, vol. 13, no. 2, pp. 10243–10248, Apr. 2023.

A. S. Alghamdi, "Wear and Indentation Resistance of Polyethylene Nanocomposites at High Temperatures," Engineering, Technology & Applied Science Research, vol. 12, no. 4, pp. 9018–9022, Aug. 2022.

P. Kumar and A. Kumar, "Stability analysis of imperfect functionally graded CNTs reinforced curved beams," Mechanics Based Design of Structures and Machines, Sep. 2022.


How to Cite

P. Kumar and A. Kumar, “Stability Analysis of FGCNT Beams with Imperfections”, Eng. Technol. Appl. Sci. Res., vol. 13, no. 4, pp. 11326–11331, Aug. 2023.


Abstract Views: 300
PDF Downloads: 294

Metrics Information

Most read articles by the same author(s)