Thermal and thermomechanical buckling of CNT-reinforced composite sandwich cylindrical shells including elasticity of tangential edge restraint

Hoang Van Tung, Pham Thanh Hieu
Author affiliations

Authors

  • Hoang Van Tung Faculty of Civil Engineering, Hanoi Architectural University, Hanoi, Vietnam https://orcid.org/0000-0002-3075-1978
  • Pham Thanh Hieu Faculty of Civil Engineering, University of Transport Technology, Hanoi, Vietnam

DOI:

https://doi.org/10.15625/0866-7136/16118

Keywords:

CNT-reinforced composite, two-term deflection, sandwich models, thermal load, tangential edge constraint

Abstract

This paper presents an analytical approach to investigate the buckling of sandwich cylindrical shells subjected to uniform temperature rise and external lateral pressure. Two sandwich models corresponding to carbon nanotube reinforced composite (CNTRC) face sheets and core layer are considered. The properties of all constitutive materials are assumed to be temperature dependent and effective properties of CNTRC are determined according to an extended rule of mixture. Governing equations are established using first order shear deformation theory and solved employing two-term form of deflection along with Galerkin method for simply supported edge shells. In order to account for practical situations of in-plane boundary condition, the elasticity of tangential constraint of boundary edges is included. Owing to temperature dependence of material properties, critical thermal loads are determined adopting an iteration process. Numerous parametric studies are carried out and interesting remarks are given. The study reveals that sandwich shell model with CNTRC core layer and homogeneous skins has considerably strong capacity of buckling resistance. Numerical results also indicate that tangential edge constraint has significant effects on critical loads, especially at elevated temperature. In addition, in the case of thermal load, an intermediate volume percentage of carbon nanotubes can confer the highest critical temperatures of sandwich shells.

Downloads

Download data is not yet available.

Metrics

Metrics Loading ...

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. DOI: https://doi.org/10.1016/S0266-3538(01)00094-X

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. DOI: https://doi.org/10.1016/j.carbon.2006.02.038

H.-S. Shen. Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments. Composite Structures, 91, (2009), pp. 9–19. DOI: https://doi.org/10.1016/j.compstruct.2009.04.026

H.-S. Shen. Postbuckling of nanotube-reinforced composite cylindrical shells in thermal environments, Part I: Axially-loaded shells. Composite Structures, 93, (2011), pp. 2096–2108. DOI: 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, (2011), pp. 2496–2503. DOI: https://doi.org/10.1016/j.compstruct.2011.04.005

E. García-Macías, L. Rodriguez-Tembleque, R. Castro-Triguero, and A. Sáez. Buckling analysis of functionally graded carbon nanotube-reinforced curved panels under axial compression and shear. Composites Part B: Engineering, 108, (2017), pp. 243–256. DOI: https://doi.org/10.1016/j.compositesb.2016.10.002

E. García-Macías, L. Rodriguez -Tembleque, R. Castro-Triguero, and A. Sáez. Eshelby-Mori-Tanaka approach for post-buckling analysis of axially compressed functionally graded CNT/polymer composite cylindrical panels. Composites Part B: Engineering, 128, (2017), pp. 208–224. DOI: https://doi.org/10.1016/j.compositesb.2017.07.016

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. DOI: https://doi.org/10.1016/j.compositesb.2018.05.037

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

J. Jam and Y. Kiani. Buckling of pressurized functionally graded carbon nanotube reinforced conical shells. Composite Structures, 125, (2015), pp. 586–595. DOI: https://doi.org/10.1016/j.compstruct.2015.02.052

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. DOI: https://doi.org/10.1002/pc.25365

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. DOI: https://doi.org/10.1177/0954406218802942

M. Mirzaei and Y. Kiani. Thermal buckling of temperature dependent FG-CNT reinforced composite plates. Meccanica, 51, (2015), pp. 2185–2201. DOI: 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, (2017), pp. 1442–1460. DOI: https://doi.org/10.1080/01495739.2017.1336742

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. DOI: 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. DOI: https://doi.org/10.1016/j.compstruct.2016.09.084

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, (2016), pp. 641–663. DOI: 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, (2018), pp. 97–124. DOI: https://doi.org/10.1177/0892705718804588

J. Torabi, R. Ansari, and R. Hassani. Numerical study on the thermal buckling analysis of CNT-reinforced composite plates with different shapes based on the higher-order shear deformation theory. European Journal of Mechanics - A/Solids, 73, (2019), pp. 144–160. DOI: https://doi.org/10.1016/j.euromechsol.2018.07.009

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. DOI: https://doi.org/10.1016/j.compstruct.2014.12.059

H.-S. Shen. Thermal buckling and postbuckling behavior of functionally graded carbon nanotube-reinforced composite cylindrical shells. Composites Part B: Engineering, 43, (2012), pp. 1030–1038. DOI: https://doi.org/10.1016/j.compositesb.2011.10.004

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. DOI: https://doi.org/10.1080/15397734.2020.1785312

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, 34, (2019), pp. 861–883. DOI: 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. DOI: https://doi.org/10.1016/j.ast.2015.09.011

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. DOI: https://doi.org/10.1016/j.euromechsol.2012.01.005

Y. Kiani. Thermal post-buckling of temperature dependent sandwich plates with FG-CNTRC face sheets. Journal of Thermal Stresses, 41, (2018), pp. 866–882. DOI: https://doi.org/10.1080/01495739.2018.1425645

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. DOI: https://doi.org/10.1016/j.compstruct.2019.03.002

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. DOI: 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, (2019), pp. 658–680. DOI: https://doi.org/10.1080/01495739.2019.1571972

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. DOI: https://doi.org/10.15625/0866-7136/13673

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). DOI: https://doi.org/10.1016/j.compstruct.2020.113214

H.-S. Shen, C. Li, and X.-H. Huang. Assessment of negative Poisson’s ratio effect on the postbuckling of pressure-loaded FG-CNTRC laminated cylindrical shells. Mechanics Based Design of Structures and Machines, (2021). DOI: https://doi.org/10.1080/15397734.2021.1880934

P. T. Hieu and H. V. Tung. Thermal and thermomechanical buckling of shear deformable FGCNTRC cylindrical shells and toroidal shell segments with tangentially restrained edges. Archive of Applied Mechanics, 90, (2020), pp. 1529–1546. DOI: https://doi.org/10.1007/s00419-020-01682-7

P. T. Hieu and H. V. Tung. Buckling of shear deformable FG-CNTRC cylindrical shells and toroidal shell segments under mechanical loads in thermal environments. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 100, (2020). DOI: https://doi.org/10.1002/zamm.201900243

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. DOI: https://doi.org/10.1016/j.jsv.2006.06.068

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. DOI: https://doi.org/10.1016/j.compstruct.2012.11.006

Downloads

Published

09-09-2021

How to Cite

[1]
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 J. Mech. 43 (2021) 297–317. DOI: https://doi.org/10.15625/0866-7136/16118.

Issue

Vol. 43 No. 4 (2021)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Crossref
Scopus
Google Scholar
Europe PMC

Funding data