Thermal postbuckling analysis of FG-CNTRC doubly curved panels with elastically restrained edges using Reddy's higher order shear deformation theory
Author affiliations
DOI:
https://doi.org/10.15625/0866-7136/15309Keywords:
CNT-reinforced composite, thermal postbuckling response, higher order shear deformation theory, doubly curved panels, tangential edge constraintsAbstract
For the first time, postbuckling behavior of thick doubly curved panels made of carbon nanotube reinforced composite (CNTRC), under preexisting external pressure and subjected to uniform temperature rise is analyzed in this paper. Carbon nanotubes (CNTs) are reinforced into matrix through functionally graded (FG) distribution patterns, and effective properties of CNTRC are determined according to extended rule of mixture. Formulations are based on a higher order shear deformation theory including Von Karman-Donnell nonlinearity, initial geometrical imperfection and elasticity of tangential constraints of boundary edges. Analytical solutions are assumed to satisfy simply supported boundary conditions and Galerkin method is used to obtain nonlinear load-deflection relation. Taking into account temperature dependence of material properties, postbuckling temperature-deflection paths are traced through an iteration process. The effects of preexisting external pressure, CNT volume fraction, tangential edge constraints, initial geometrical imperfection and curvature ratios on thermal postbuckling behavior of CNTRC doubly curved panels are analyzed through numerical examples. The study reveals that thermally loaded panels experiences a quasi-bifurcation response due to the presence of preexisting external pressure. For the most part, perfect panels are deflected toward convex side at the onset of undergoing thermal load. Particularly, imperfect panels may exhibit a bifurcation type buckling response when imperfection size satisfy a special condition.
Downloads
References
E. T. Thostenson, C. Li, and T . W. Chou. Nanocomposites in context. Composites Science and Technology, 65, (3-4), (2005), pp. 491–516. https:/doi.org/10.1016/j.compscitech.2004.11.003.
H. S. Shen. Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments. Composite Structures, 91, (1), (2009), pp. 9–19. https:/doi.org/10.1016/j.compstruct.2009.04.026.
E. Garcıa-Macıas, L. Rodriguez-Tembleque, R. Castro-Triguero, and A. Saéz. Buckling analysis of functionally graded carbon nanotube-reinforced curved panels under axial compression and shear. Composites Part B: Engineering, 108, (2017), pp. 243–256. https:/doi.org/10.1016/j.compositesb.2016.10.002.
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. https:/doi.org/10.1016/j.compositesb.2018.05.037.
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. https:/doi.org/10.1016/j.engstruct.2016.05.004.
L. T. N. Trang and H. V. Tung. Buckling and postbuckling of carbon nanotube-reinforced composite cylindrical panels subjected to axial compression in thermal environments. Vietnam Journal of Mechanics, 40, (1), (2018), pp. 47–61. https:/doi.org/10.15625/0866-7136/10088.
H. V. Tung and L. T. N. Trang. Imperfection and tangential edge constraint sensitivities of thermomechanical nonlinear response of pressure-loaded carbon nanotube-reinforced composite cylindrical panels. Acta Mechanica, 229, (5), (2018), pp. 1949–1969. https:/doi.org/10.1007/s00707-017-2093-z.
L. T. N. Trang and H. V. Tung. Thermomechanical nonlinear analysis of axially compressed carbon nanotube-reinforced composite cylindrical panels resting on elastic foundations with tangentially restrained edges. Journal of Thermal Stresses, 41, (4), (2018), pp. 418–438. https:/doi.org/10.1080/01495739.2017.1409093.
H. S. Shen. Postbuckling of nanotube-reinforced composite cylindrical shells in thermal environments, Part I: Axially-loaded shells. Composite Structures, 93, (8), (2011), pp. 2096–2108. https:/doi.org/10.1016/j.compstruct.2011.02.011.
H. S. Shen. Postbuckling of nanotube-reinforced composite cylindrical shells in thermal environments, Part II: Pressure-loaded shells. Composite Structures, 93, (10), (2011), pp. 2496–2503. https:/doi.org/10.1016/j.compstruct.2011.04.005.
H. S. Shen and C. L. Zhang. Thermal buckling and postbuckling behavior of functionally graded carbon nanotube-reinforced composite plates. Materials & Design, 31, (7), (2010), pp. 3403–3411. https:/doi.org/10.1016/j.matdes.2010.01.048.
M. Mirzaei and Y. Kiani. Thermal buckling of temperature dependent FG-CNT reinforced composite plates. Meccanica, 51, (9), (2016), pp. 2185–2201. https:/doi.org/10.1007/s11012-015-0348-0.
Y. Kiani. Thermal buckling of temperature-dependent FG-CNT-reinforced composite skew plates. Journal of Thermal Stresses, 40, (11), (2017), pp. 1442–1460. https:/doi.org/10.1080/01495739.2017.1336742.
Y. Kiani. Thermal post-buckling of FG-CNT reinforced composite plates. Composite Structures, 159, (2017), pp. 299–306. https:/doi.org/10.1016/j.compstruct.2016.09.084.
Y. Kiani. Thermal post-buckling of temperature dependent sandwich plates with FG-CNTRC face sheets. Journal of Thermal Stresses, 41, (7), (2018), pp. 866–882. https:/doi.org/10.1080/01495739.2018.1425645.
H. V. Tung. Thermal buckling and postbuckling behavior of functionally graded carbon-nanotube-reinforced composite plates resting on elastic foundations with tangential-edge restraints. Journal of Thermal Stresses, 40, (5), (2017), pp. 641–663. https:/doi.org/10.1080/01495739.2016.1254577.
H. V. Tung and L. T. N. Trang. Thermal postbuckling of shear deformable CNT-reinforced composite plates with tangentially restrained edges and temperature-dependent properties. Journal of Thermoplastic Composite Materials, 33, (1), (2020), pp. 97–124. https:/doi.org/10.1177/0892705718804588.
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, (10), (2020), pp. 1396–1428. https:/doi.org/10.1177/0892705719828789.
V. T. Long and H. V. Tung. Thermomechanical postbuckling behavior of CNT-reinforced composite sandwich plate models resting on elastic foundations with elastically restrained unloaded edges. Journal of Thermal Stresses, 42, (5), (2019), pp. 658–680. https:/doi.org/10.1080/01495739.2019.1571972.
H. S. Shen. Thermal buckling and postbuckling behavior of functionally graded carbon nanotube-reinforced composite cylindrical shells. Composites Part B: Engineering, 43, (3), (2012), pp. 1030–1038. https:/doi.org/10.1016/j.compositesb.2011.10.004.
P. T. Hieu and H. V. Tung. Thermal buckling and postbuckling of CNT-reinforced composite cylindrical shell surrounded by an elastic medium with tangentially restrained edges. Journal of Thermoplastic Composite Materials, (2019). https:/doi.org/10.1177/0892705719853611.
M. Mirzaei and Y. Kiani. Thermal buckling of temperature dependent FG-CNT reinforced composite conical shells. Aerospace Science and Technology, 47, (2015), pp. 42–53. https:/doi.org/10.1016/j.ast.2015.09.011.
P. T. Hieu and H. V. Tung. Thermal and thermomechanical buckling of shear deformable FG-CNTRC cylindrical shells and toroidal shell segments with tangentially restrained edges. Archive of Applied Mechanics, (2020), pp. 1–18. https:/doi.org/10.1007/s00419-020-01682-7.
H.S.ShenandY.Xiang.Postbucklingofpressure-loadednanotube-reinforcedcompositedoublycurvedpanels resting on elastic foundations in thermal environments. International Journal of Mechanical Sciences, 107, (2016), pp. 225–234. https:/doi.org/10.1016/j.ijmecsci.2016.01.004.
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, (1), (2019), pp. 582–596. https:/doi.org/10.1515/nleng-2018-0077.
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, (16), (2019), pp. 5848– 5859. https:/doi.org/10.1177/0954406219856374.
H. V. Tung and N. D. Duc. Nonlinear response of shear deformable FGM curved panels resting on elastic foundations and subjected to mechanical and thermal loading conditions. Applied Mathematical Modelling, 38, (11-12), (2014), pp. 2848–2866. https:/doi.org/10.1016/j.apm.2013.11.015.
H. V. Tung. Postbuckling of thick FGM cylindrical panels with tangential edge constraints and temperature dependent properties. Vietnam Journal of Mechanics, 38, (2), (2016), pp. 123–140. https:/doi.org/10.15625/0866-7136/38/2/7066.
H. S. Shen and H. Wang. Thermal postbuckling of FGM cylindrical panels resting on elastic foundations. Aerospace Science and Technology, 38, (2014), pp. 9–19. https:/doi.org/10.1016/j.ast.2014.07.009.
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. https:/doi.org/10.1016/j.compstruct.2019.03.002.
H. S. Shen and Y. Xiang. Thermal postbuckling of nanotube-reinforced composite cylindrical panels resting on elastic foundations. Composite Structures, 123, (2015), pp. 383–392. https:/doi.org/10.1016/j.compstruct.2014.12.059.
L. T. N. Trang and H. V. Tung. Thermally induced postbuckling of higher order shear deformable CNT-reinforced composite flat and cylindrical panels resting on elastic foundations with elastically restrained edges. Mechanics Based Design of Structures and Machines, (2020), pp. 1–24. https:/doi.org/10.1080/15397734.2020.1785312.
J. N. Reddy and C. F. Liu. A higher-order shear deformation theory of laminated elastic shells. International Journal of Engineering Science, 23, (3), (1985), pp. 319–330. https:/doi.org/10.1016/0020-7225(85)90051-5.
Downloads
Published
Issue
Section
License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
