Geometrically nonlinear analysis of sandwich composite beams reinforced by agglomeration carbon nanotubes
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https://doi.org/10.15625/0866-7136/17911Keywords:
nanocomposite sandwich beam, agglomeration effect of CNTs, Eshelby-Mori-Tanaka approach, total Lagrange formulation, large deflection analysisAbstract
In this work, geometrically nonlinear behavior of sandwich composite beams reinforced by carbon nanotubes is studied, taking into account the influence of agglomeration of the carbon nanotubes (CNTs). The core of the sandwich beams is homogeneous while the two face sheets are made of CNT reinforced composite with the effective material properties being estimated by the Eshelby-Mori-Tanaka approach. A first-order shear deformable nonlinear beam element is formulated in the context of the total Lagrange formulation and used to construct the discretized nonlinear equilibrium equation. The Newton-Raphson based iterative procedure is used in conjunction with the arc-length method to trace the equilibrium paths of the beams. Detail parametric studies are carried out to illustrate the influence of the CNTs agglomeration, the amount of CNT volume fraction as well as the thicknesses of face sheets on the nonlinear behavior of the structure.
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References
M. A. Crisfield. Non-linear finite element analysis of solids and structures, Volume 1: Essentials. JohnWiley and Sons, Chichester, (1991).
T. Belytschko, W. K. Liu, and B. Moran. Nonlinear finite elements for continua and structures. JohnWiley & Sons, Chichester, (2000).
D. K. Nguyen and T. T. Tran. A co-rotational formulation for large displacement analysis of functionally graded sandwich beam and frame structures. Mathematical Problems in Engineering, (2016), pp. 1–12.
B. T. T. Hoai, D. K. Nguyen, T. T. T. Huong, and L. T. N. Anh. Large dispalcements of FGSW beams in thermal environment using a finite element formulation. Vietnam Journal of Mechanics, 42, (2020), pp. 43–61.
D. K. Nguyen, T. T. H. Bui, T. T. H. Tran, and S. Alexandrov. Large deflections of functionally graded sandwich beams with influence of homogenization schemes. Archive of Applied Mechanics, 92, (2022), pp. 1757–1775.
T. Lau, C. Gu, and D. Hui. A critical review on nanotube and nanotube/nanoclay related polymer composite materials. Composites Part B: Engineering, 37, (2006), pp. 425–436.
A. A. Ghorbanpour, S. Maghamikia, and M. Mohammadimehr. Buckling analysis of laminated composite rectangular plates reinforced by SWCNTs using analytical and finite element methods. Journal of Mechanical Science and Technology, 25, (2011), pp. 809–820.
S. Kamarian, M. Shakeri, M. H. Yas, M. Bodaghi, and A. Pourasghar. Free vibration analysis of functionally graded nanocomposite sandwich beams resting on Pasternak foundation by considering the agglomeration effect of CNTs. Journal of Sandwich Structures and Materials, 17, (2015), pp. 632–665.
H. Daghigh, V. Daghigh, A. Milani, D. Tannant, E. L. J. Thomas, and J. N. Reddy. Nonlocal bending and buckling of agglomerated CNT-Reinforced composite nanoplates. Composites Part B: Engineering, 183, (2019).
S. S. Antman. Nonlinear problems of elasticity. Springer-Verlag, New York, (1995).
C. Pacoste and A. Eriksson. Beam elements in instability problems. Computer Methods in Applied Mechanics and Engineering, 144, (1997), pp. 163–197.
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