Nonlinear response of doubly curved sandwich panels with CNT-reinforced composite core and elastically restrained edges subjected to external pressure in thermal environments
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https://doi.org/10.15625/0866-7136/16575Keywords:
doubly curved panel, FG-CNTRC, sandwich shell, tangential edge restraint, thermomechanical loadAbstract
An analytical investigation on the nonlinear response of doubly curved panels constructed from homogeneous face sheets and carbon nanotube reinforced composite (CNTRC) core and subjected to external pressure in thermal environments is presented in this paper. Carbon nanotubes (CNTs) are reinforced into the core layer through uniform or functionally graded distributions. The properties of constituents are assumed to be temperature dependent and effective properties of CNTRC are determined using an extended rule of mixture. Governing equations are established within the framework of first order shear deformation theory taking into account geometrical imperfection, von Kármán–Donnell nonlinearity, panel-foundation interaction and elasticity of tangential edge restraints. These equations are solved using approximate analytical solutions and Galerkin method for simply supported panels. The results reveal that load carrying capacity of sandwich panels is stronger when boundary edges are more rigorously restrained and face sheets are thicker. Furthermore, elevated temperature has deteriorative and beneficial influences on the load bearing capability of sandwich panels with movable and restrained edges, respectively.
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References
E. T. Thostenson, Z. Ren, and T.-W. Chou. Advances in the science and technology of carbon nanotubes and their composites: a review. Composites Science and Technology, 61, (2001), pp. 1899–1912.
J. N. Coleman, U. Khan, W. J. Blau, and Y. K. Gun’ko. Small but strong: A review of the mechanical properties of carbon nanotube–polymer composites. Carbon, 44, (2006), pp. 1624–1652.
H.-S. Shen. Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments. Composite Structures, 91, (2009), pp. 9–19.
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.
H.-S. Shen. Postbuckling of nanotube-reinforced composite cylindrical panels resting on elastic foundations subjected to lateral pressure in thermal environments. Engineering Structures, 122, (2016), pp. 174–183.
H.-S. Shen and Y. Xiang. Postbuckling of axially compressed nanotube-reinforced composite cylindrical panels resting on elastic foundations in thermal environments. Composites Part B: Engineering, 67, (2014), pp. 50–61.
H.-S. Shen and Y. Xiang. Nonlinear bending of nanotube-reinforced composite cylindrical panels resting on elastic foundations in thermal environments. Engineering Structures, 80, (2014), pp. 163–172.
H. V. Tung and L. T. N. Trang. Thermal postbuckling of shear deformable CNTreinforced composite plates with tangentially restrained edges and temperature-dependent properties. Journal of Thermoplastic Composite Materials, 33, (2018), pp. 97–124.
L. T. N. Trang and H. V. Tung. Thermomechanical nonlinear stability of pressure-loaded CNT-reinforced composite doubly curved panels resting on elastic foundations. Nonlinear Engineering, 8, (2019), pp. 582–596.
L. T. N. Trang and H. V. Tung. Thermomechanical nonlinear stability of pressure loaded functionally graded carbon nanotube-reinforced composite doubly curved panels with tangentially restrained edges. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 233, (2019), pp. 5848–5859.
H. V. Tung and P. T. Hieu. Nonlinear buckling of CNT-reinforced composite toroidal shell segment surrounded by an elastic medium and subjected to uniform external pressure. Vietnam Journal of Mechanics, 40, (2018), pp. 285–301.
P. T. Hieu and H. V. Tung. Thermomechanical nonlinear buckling of pressure-loaded carbon nanotube reinforced composite toroidal shell segment surrounded by an elastic medium with tangentially restrained edges. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 233, (2018), pp. 3193–3207.
P. T. Hieu and H. V. Tung. Thermomechanical postbuckling of pressure-loaded CNT-reinforced composite cylindrical shells under tangential edge constraints and various temperature conditions. Polymer Composites, 41, (2019), pp. 244–257.
H.-S. Shen, J. N. Reddy, and Y. Yu. Postbuckling of doubly curved FG-GRC laminated panels subjected to lateral pressure in thermal environments. Mechanics of Advanced Materials and Structures, 28, (2019), pp. 260–270.
H.-S. Shen and Y. Xiang. Postbuckling of pressure-loaded nanotube-reinforced composite doubly curved panels resting on elastic foundations in thermal environments. International Journal of Mechanical Sciences, 107, (2016), pp. 225–234.
H.-S. Shen and H.Wang. Postbuckling of pressure-loaded FGM doubly curved panels resting on elastic foundations in thermal environments. Thin-Walled Structures, 100, (2016), pp. 124–133.
H.-S. Shen and Z. H. Zhu. Postbuckling of sandwich plates with nanotube-reinforced composite face sheets resting on elastic foundations. European Journal of Mechanics - A/Solids, 35, (2012), pp. 10–21.
Y. Kiani. Thermal post-buckling of temperature dependent sandwich plates with FG-CNTRC face sheets. Journal of Thermal Stresses, 41, (2018), pp. 866–882.
K. Mehar, S. K. Panda, and T. R. Mahapatra. Nonlinear frequency responses of functionally graded carbon nanotube-reinforced sandwich curved panel under uniform temperature field. International Journal of Applied Mechanics, 10, (2018), p. 1850028.
K. Mehar and S. K. Panda. Thermal free vibration behavior of FG-CNT reinforced sandwich curved panel using finite element method. Polymer Composites, 39, (2017), pp. 2751–2764.
K. Mehar, S. K. Panda, Y. Devarajan, and G. Choubey. Numerical buckling analysis of graded CNT-reinforced composite sandwich shell structure under thermal loading. Composite Structures, 216, (2019), pp. 406–414.
A. Sankar, S. Natarajan, T. B. Zineb, and M. Ganapathi. Investigation of supersonic flutter of thick doubly curved sandwich panels with CNT reinforced face-sheets using higher-order structural theory. Composite Structures, 127, (2015), pp. 340–355.
M. Wang, Z.-M. Li, and P. Qiao. Vibration analysis of sandwich plates with carbon nanotube-reinforced composite face-sheets. Composite Structures, 200, (2018), pp. 799–809.
V. T. Long and H. V. Tung. Thermal postbuckling behavior of CNT-reinforced composite sandwich plate models resting on elastic foundations with tangentially restrained edges and temperature-dependent properties. Journal of Thermoplastic Composite Materials, 33, (2019), pp. 1396–1428.
V. T. Long and H. V. Tung. Thermomechanical postbuckling behavior of CNTreinforced composite sandwich plate models resting on elastic foundations with elastically restrained unloaded edges. Journal of Thermal Stresses, 42, (2019), pp. 658–680.
H. V. Tung and V. T. Long. Buckling and postbuckling of CNT-reinforced composite sandwich cylindrical panels subjected to axial compression in thermal environments. Vietnam Journal of Mechanics, 41, (2019), pp. 217–231.
H. V. Tung and P. T. Hieu. Thermal and thermomechanical buckling of CNT-reinforced composite sandwich cylindrical shells including elasticity of tangential edge restraint. Vietnam Journal of Mechanics, (2021).
K. Foroutan, E. Carrera, and H. Ahmadi. Static and dynamic hygrothermal postbuckling analysis of sandwich cylindrical panels with an FG-CNTRC core surrounded by nonlinear viscoelastic foundations. Composite Structures, 259, (2021), p. 113214.
J. N. Reddy. Mechanics of laminated composite plates and shells: Theory and Analysis. CRC Press, (2004).
E. Efraim and M. Eisenberger. Exact vibration analysis of variable thickness thick annular isotropic and FGM plates. Journal of Sound and Vibration, 299, (2007), pp. 720–738.
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National Foundation for Science and Technology Development
Grant numbers 107.02-2019.318
