Buckling and postbuckling of axially-loaded CNT-reinforced composite cylindrical shell surrounded by an elastic medium in thermal environment

Hoang Van Tung, Pham Thanh Hieu
Author affiliations

Authors

  • Hoang Van Tung Hanoi Architectural University, Vietnam
  • Pham Thanh Hieu University of Transport Technology, Hanoi, Vietnam

DOI:

https://doi.org/10.15625/0866-7136/12602

Keywords:

CNT-reinforced composite, nanocomposite cylindrical shell, nonlinear stability, axial compression, elastic foundation.

Abstract

The natural frequencies or related resonant frequencies have been widely used for crack detection in structures by the vibration-based technique. However, antiresonant frequencies, the zeros of frequency response function, are less involved to use for the problem because they have not been thoroughly studied. The present paper addresses analysis of antiresonant frequencies of multiple cracked bar in comparison with the resonant ones. First, exact characteristic equations for the resonant and antiresonant frequencies of bar with arbitrary number of cracks are conducted in a new form that is explicitly expressed in term of crack severities. Then, the conducted equations are employed for analysis of variation of resonant and antiresonant frequencies versus crack position and depth. Numerical results show that antiresonant frequencies are indeed useful indicators for crack detection in bar mutually with the resonant ones.

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References

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, (9), (2006), pp. 1624–1652. https://doi.org/10.1016/j.carbon.2006.02.038. https://doi.org/10.1016/j.carbon.2006.02.038.">

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. https://doi.org/10.1016/j.compscitech.2004.11.003.">

M. Paradise and T. Goswami. Carbon nanotubes–production and industrial applications. Materials & Design, 28, (5), (2007), pp. 1477–1489. https://doi.org/10.1016/j.matdes.2006.03.008. https://doi.org/10.1016/j.matdes.2006.03.008.">

A. M. K. Esawi and M. M. Farag. Carbon nanotube reinforced composites: potential and current challenges. Materials & Design, 28, (9), (2007), pp. 2394–2401. https://doi.org/10.1016/j.matdes.2006.09.022. https://doi.org/10.1016/j.matdes.2006.09.022.">

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. https://doi.org/10.1016/j.paerosci.2014.05.002.">

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. https://doi.org/10.1016/j.compstruct.2009.04.026.">

P. Phung-Van, M. Abdel-Wahab, K. M. Liew, S. P. A. Bordas, and H. Nguyen-Xuan. Isogeometric analysis of functionally graded carbon nanotube-reinforced composite plates using higher-order shear deformation theory. Composite Structures, 123, (2015), pp. 137–149. https://doi.org/10.1016/j.compstruct.2014.12.021. https://doi.org/10.1016/j.compstruct.2014.12.021.">

L. W. Zhang, Z. G. Song, and K. M. Liew. Nonlinear bending analysis of FGCNT reinforced composite thick plates resting on Pasternak foundations using the element-free IMLS-Ritz method. Composite Structures, 128, (2015), pp. 165–175. https://doi.org/10.1016/j.compstruct.2015.03.011. https://doi.org/10.1016/j.compstruct.2015.03.011.">

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. https://doi.org/10.1016/j.apm.2014.12.058.">

A. Alibeigloo and K. M. Liew. Thermoelastic analysis of functionally graded carbon nanotube-reinforced composite plate using theory of elasticity. Composite Structures, 106, (2013), pp. 873–881. https://doi.org/10.1016/j.compstruct.2013.07.002. https://doi.org/10.1016/j.compstruct.2013.07.002.">

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. https://doi.org/10.1016/j.compstruct.2016.02.025.">

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

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. 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. 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, (5), (2017), pp. 641–663. https://doi.org/10.1080/01495739.2016.1254577. https://doi.org/10.1080/01495739.2016.1254577.">

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. https://doi.org/10.1016/j.compstruct.2015.11.031.">

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. https://doi.org/10.1016/j.ijmecsci.2016.01.010.">

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. https://doi.org/10.1016/j.compositesb.2016.10.002. 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. https://doi.org/10.1016/j.compositesb.2014.06.020.">

K. M. Liew, Z. X. Lei, J. L. Yu, and L. W. Zhang. Postbuckling of carbon nanotube-reinforced functionally graded cylindrical panels under axial compression using a meshless approach. Computer Methods in Applied Mechanics and Engineering, 268, (2014), pp. 1–17. https://doi.org/10.1016/j.cma.2013.09.001. https://doi.org/10.1016/j.cma.2013.09.001.">

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. https://doi.org/10.1016/j.compstruct.2014.12.059.">

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. 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. 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. 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. 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. https://doi.org/10.1016/j.compstruct.2011.04.005.">

H. S. Shen and Y. Xiang. Postbuckling of nanotube-reinforced composite cylindrical shells under combined axial and radial mechanical loads in thermal environment. Composites Part B: Engineering, 52, (2013), pp. 311–322. https://doi.org/10.1016/j.compositesb.2013.04.034. https://doi.org/10.1016/j.compositesb.2013.04.034.">

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. https://doi.org/10.1016/j.compstruct.2014.05.039.">

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. https://doi.org/10.1016/j.compositesb.2011.10.004.">

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. 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. https://doi.org/10.1016/j.tws.2017.11.027.">

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

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. https://doi.org/10.1016/j.ast.2015.09.011.">

M. Mehri, H. Asadi, and Q. Wang. Buckling and vibration analysis of a pressurized CNT reinforced functionally graded truncated conical shell under an axial compression using HDQ method. Computer Methods in Applied Mechanics and Engineering, 303, (2016), pp. 75–100. https://doi.org/10.1016/j.cma.2016.01.017. https://doi.org/10.1016/j.cma.2016.01.017.">

R. Ansari and J. Torabi. Numerical study on the buckling and vibration of functionally graded carbon nanotube-reinforced composite conical shells under axial loading. Composites Part B: Engineering, 95, (2016), pp. 196–208. https://doi.org/10.1016/j.compositesb.2016.03.080. https://doi.org/10.1016/j.compositesb.2016.03.080.">

H. Huang and Q. Han. Nonlinear elastic buckling and postbuckling of axially compressed functionally graded cylindrical shells. International Journal of Mechanical Sciences, 51, (7), (2009), pp. 500–507. https://doi.org/10.1016/j.ijmecsci.2009.05.002. https://doi.org/10.1016/j.ijmecsci.2009.05.002.">

H. Huang and Q. Han. Nonlinear buckling and postbuckling of heated functionally graded cylindrical shells under combined axial compression and radial pressure. International Journal of Non-Linear Mechanics, 44, (2), (2009), pp. 209–218. https://doi.org/10.1016/j.ijnonlinmec.2008.11.016. https://doi.org/10.1016/j.ijnonlinmec.2008.11.016.">

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, (3), (2018), pp. 285–301. https://doi.org/10.15625/0866-7136/12397. https://doi.org/10.15625/0866-7136/12397.">

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.

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Published

26-03-2019

How to Cite

[1]
H. V. Tung and P. T. Hieu, Buckling and postbuckling of axially-loaded CNT-reinforced composite cylindrical shell surrounded by an elastic medium in thermal environment, Vietnam J. Mech. 41 (2019) 31–49. DOI: https://doi.org/10.15625/0866-7136/12602.

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