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Nonlinear buckling of CNT-reinforced composite toroidal shell segment surrounded by an elastic medium and subjected to uniform external pressure

Hoang Van Tung, Pham Thanh Hieu

Abstract


Buckling and postbuckling behaviors of Toroidal Shell Segment (TSS) reinforced by single-walled carbon nanotubes (SWCNT), surrounded by an elastic medium and subjected to uniform external pressure are investigated in this paper. Carbon nanotubes (CNTs) are reinforced into matrix phase by uniform distribution (UD) or functionally graded (FG) distribution along the thickness direction. Effective properties of carbon nanotube reinforced composite (CNTRC) are estimated by an extended rule of mixture through a micromechanical model. Governing equations for TSSs are based on the classical thin shell theory taking into account geometrical nonlinearity and surrounding elastic medium. Three-term solution of deflection and stress function are assumed to satisfy simply supported boundary condition, and Galerkin method is applied to obtain nonlinear load-deflection relation from which buckling loads and postbuckling equilibrium paths are determined. The effects of CNT volume fraction, distribution types, geometrical ratios and elastic foundation on the buckling and postbuckling behaviors of CNTRC TSSs are analyzed and discussed.


Keywords


CNT-reinforced composite; toroidal shell segment; buckling and postbuckling; mechanical load; elastic foundation

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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.

J. N. Coleman, U. Khan, W. J. Blau, and Y. K. Gunko. Small but strong: a review of the mechanical properties of carbon nanotube-polymer composites. Carbon, 44, (9), (2006), pp. 1624–1652. https://doi.org/10.1016/j.carbon.2006.02.038.

Z. Spitalsky, D. Tasis, K. Papagelis, and C. Galiotis. Carbon nanotube-polymer composites: chemistry, processing, mechanical and electrical properties. Progress in Polymer Science, 35, (3), (2010), pp. 357–401. https://doi.org/10.1016/j.progpolymsci.2009.09.003.

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.

Z. X. Lei, K. M. Liew, and J. L. Yu. Buckling analysis of functionally graded carbon nanotube-reinforced composite plates using the element-free kp-Ritz method. Composite Structures, 98, (2013), pp. 160–168. https://doi.org/10.1016/j.compstruct.2012.11.006.

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. https://doi.org/10.1016/j.compositesb.2015.01.033.

M.Wang, Z. M. Li, and P. Qiao. Semi-analytical solutions to buckling and free vibration analysis of carbon nanotube-reinforced composite thin plates. Composite Structures, 144, (2016), pp. 33–43. https://doi.org/10.1016/j.compstruct.2016.02.025.

N. Wattanasakulpong and A. Chaikittiratana. Exact solutions for static and dynamic analyses of carbon nanotube-reinforced composite plates with Pasternak elastic foundation. Applied Mathematical Modelling, 39, (18), (2015), pp. 5459–5472. https://doi.org/10.1016/j.apm.2014.12.058.

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.

P. Malekzadeh and M. Shojaee. Buckling analysis of quadrilateral laminated plates with carbon nanotubes reinforced composite layers. Thin-Walled Structures, 71, (2013), pp. 108–118. https://doi.org/10.1016/j.tws.2013.05.008.

A. R. Setoodeh and M. Shojaee. Critical buckling load optimization of functionally graded carbon nanotube-reinforced laminated composite quadrilateral plates. Polymer Composites, 39, (S2), (2018), pp. E853–E868. https://doi.org/10.1002/pc.24289.

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.

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.

L. W. Zhang and K. M. Liew. Postbuckling analysis of axially compressed CNT reinforced functionally graded composite plates resting on Pasternak foundations using an element-free approach. Composite Structures, 138, (2016), pp. 40–51. https://doi.org/10.1016/j.compstruct.2015.11.031.

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.

L. T. N. Trang and H. V. Tung. Tangential edge constraint sensitivity of nonlinear stability of CNT-reinforced composite plates under compressive and thermomechanical loadings. Journal of Engineering Mechanics, 144, (7), (2018). https://doi.org/10.1061/(asce)em.1943-7889.0001479.

M. Nasihatgozar, V. Daghigh, M. Eskandari, K. Nikbin, and A. Simoneau. Buckling analysis of piezoelectric cylindrical composite panels reinforced with carbon nanotubes. International Journal of Mechanical Sciences, 107, (2016), pp. 69–79. https://doi.org/10.1016/j.ijmecsci.2016.01.010.

E. Garcia-Macias, L. Rodriguez-Tembleque, R. Castro-Triguero, and A. Saez. 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.

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. https://doi.org/10.1016/j.compositesb.2014.06.020.

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. 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. 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.

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. 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.

H. S. Shen. Torsional postbuckling of nanotube-reinforced composite cylindrical shells in thermal environments. Composite Structures, 116, (2014), pp. 477–488. https://doi.org/10.1016/j.compstruct.2014.05.039.

R. Ansari, T. Pourashraf, R. Gholami, and A. Shahabodini. Analytical solution for nonlinear postbuckling of functionally graded carbon nanotube-reinforced composite shells with piezoelectric layers. Composites Part B: Engineering, 90, (2016), pp. 267–277. https://doi.org/10.1016/j.compositesb.2015.12.012.

D. G. Ninh. Nonlinear thermal torsional post-buckling of carbon nanotube-reinforced composite cylindrical shell with piezoelectric actuator layers surrounded by elastic medium. Thin-Walled Structures, 123, (2018), pp. 528–538. https://doi.org/10.1016/j.tws.2017.11.027.

B. H. Dao, N. G. Dinh, and T. I. Tran. Buckling analysis of eccentrically stiffened functionally graded toroidal shell segments under mechanical load. Journal of Engineering Mechanics, 142, (1), (2015). https://doi.org/10.1061/(asce)em.1943-7889.0000964.

D. H. Bich and D. G. Ninh. Post-buckling of sigmoid-functionally graded material toroidal shell segment surrounded by an elastic foundation under thermo-mechanical loads. Composite Structures, 138, (2016), pp. 253–263. https://doi.org/10.1016/j.compstruct.2015.11.044.

O. Gohardani, M. C. Elola, and C. Elizetxea. Potential and prospective implementation of carbon nanotubes on next generation aircraft and space vehicles: A review of current and expected applications in aerospace sciences. Progress in Aerospace Sciences, 70, (2014), pp. 42–68. https://doi.org/10.1016/j.paerosci.2014.05.002.

D. O. Brush and B. O. Almroth. Buckling of bars, plates, and shells. McGraw-Hill, New York, (1975).

D. Van Dung and L. K. Hoa. Solving nonlinear stability problem of imperfect functionally graded circular cylindrical shells under axial compression by Galerkin’s method.

Vietnam Journal of Mechanics, 34, (3), (2012), pp. 139–156. https://doi.org/10.15625/0866-7136/34/3/2356.

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.




DOI: https://doi.org/10.15625/0866-7136/12397

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