World Scientific
Skip main navigation
Close Drawer MenuOpen Drawer Menu

Cookies Notification

We use cookies on this site to enhance your user experience. By continuing to browse the site, you consent to the use of our cookies. Learn More
×
Our website is made possible by displaying certain online content using javascript.
In order to view the full content, please disable your ad blocker or whitelist our website www.worldscientific.com.

System Upgrade on Fri, Jun 26th, 2020 at 5pm (ET)

During this period, our website will be offline for less than an hour but the E-commerce and registration of new users may not be available for up to 4 hours.
For online purchase, please visit us again. Contact us at [email protected] for any enquiries.
Research PapersNo Access

Nonlinear Post-Buckling of CNTs Reinforced Sandwich-Structured Composite Annular Spherical Shells

    https://doi.org/10.1142/S0219455420500182Cited by:2
    Previous
    Next

    Abstract

    This work presents the nonlinear post-buckling behavior of carbon nanotubes (CNTs) reinforced sandwich composite annular spherical (AS) shells supported by elastic foundations in the thermal environment. This paper takes advantage of the sandwich-structured configuration with three layers: two nanocomposite face sheets and an isotropic core to analyze the static problem. Due to the precious properties, CNTs are applied to reinforce nanocomposite face sheets of AS shells. The governing equations of the nonlinear mechanical response of CNTs reinforced sandwich-structured composite (SSC) AS shells are achieved by using the classical shell theory (CST) and taking von Kármán’s geometrical nonlinearity into account. Applying Airy’s stress function and an approximate solution, we propose a form of stress function for CNTs reinforced SSC AS shells. The detailed effects of different types of CNTs’ reinforcement and volume fractions, geometrical parameters, core to face sheet thickness ratio, Winkler and Pasternak elastic foundations on the nonlinear mechanical post-buckling analysis are examined.

    References

    • 1. H. S. Shen, Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments, Compos. Struct. 91(1) (2009) 9–19. Crossref, ISI, Google Scholar
    • 2. H. S. Shen and C. L. Zhang, Thermal buckling and postbuckling behavior of functionally graded carbon nanotube-reinforced composite plates, Mater. Design. 31(7) (2010) 3403–3411. Crossref, ISI, Google Scholar
    • 3. A. H. Sofiyev, B. E. Turkaslan, R. P. Bayramov and M. U. Salamci, Analytical solution of stability of FG-CNTRC conical shells under external pressures, Thin-Walled. Struct. 144 (2019) 106338. Crossref, ISI, Google Scholar
    • 4. M. Mirzaei and Y. Kiani, Thermal buckling of temperature dependent FG-CNT reinforced composite conical shells, Aerosp. Sci. Tech. 47 (2015) 42–53. Crossref, ISI, Google Scholar
    • 5. R. Kolahchi, M. Safari and M. Esmailpour, Dynamic stability analysis of temperature-dependent functionally graded CNT-reinforced visco-plates resting on orthotropic elastomeric medium, Compos. Struct. 150 (2016) 255–265. Crossref, ISI, Google Scholar
    • 6. H. Hosseini and R. Kolahchi, Seismic response of functionally graded-carbon nanotubes-reinforced submerged viscoelastic cylindrical shell in hygrothermal environment, Physica E 102 (2018) 101–109. Crossref, Google Scholar
    • 7. M. H. Hajmohammad, R. Kolahchi, M. S. Zarei and M. Maleki, Earthquake induced dynamic deflection of submerged viscoelastic cylindrical shell reinforced by agglomerated CNTs considering thermal and moisture effects, Compos. Struct. 187 (2018) 498–508. Crossref, ISI, Google Scholar
    • 8. A. Fakhar and R. Kolahchi, Dynamic buckling of magnetorheological fluid integrated by visco-piezo-GPL reinforced plates, Int. J. Mech. Sci. 144 (2018) 788–799. Crossref, ISI, Google Scholar
    • 9. M. Wang, Z. M. Li and P. Qiao, Vibration analysis of sandwich plates with carbon nanotube-reinforced composite face-sheets, Compos. Struct. 200(15) (2018) 799–809. Crossref, Google Scholar
    • 10. B. Safaei, R. M. Dastjerdi, Z. Qin and F. Chu, Frequency-dependent forced vibration analysis of nanocomposite sandwich plate under thermo-mechanical loads, Compos. Part B-Eng. 161 (2019) 44–54. Crossref, ISI, Google Scholar
    • 11. B. Safaei, R. M. Dastjerdi, Z. Qin and F. Chu, Effect of thermal gradient load on thermo-elastic vibrational behavior of sandwich plates reinforced by carbon nanotube agglomerations, Compos. Struct. 192 (2018) 28–37. Crossref, ISI, Google Scholar
    • 12. K. Mehar, S. K. Panda and T. R. Mahapatra, Thermoelastic nonlinear frequency analysis of CNT reinforced functionally graded sandwich structure, Eur. J. Mech. A Solids. 65 (2017) 384–396. Crossref, ISI, Google Scholar
    • 13. R. M. Dastjerdi, G. Payganeh and H. M. Mohammadi, Free vibration analyses of functionally graded CNT reinforced nanocomposite sandwich plates resting on elastic foundation, Int. J. Solid. Mech. 7(2) (2015) 158–172. Google Scholar
    • 14. R. M. Dastjerdi and F. Aghadavoudi, Static analysis of functionally graded nanocomposite sandwich plates reinforced by defected CNT, Compos. Struct. 200 (2018) 839–848. Crossref, ISI, Google Scholar
    • 15. A. Sankar, S. Natarajan and M. Ganapathi, Dynamic instability analysis of sandwich plates with CNT reinforced facesheets, Compos. Struct. 146 (2016) 187–200. Crossref, ISI, Google Scholar
    • 16. S. Natarajan, M. Haboussi and G. Manickam, Application of higher-order structural theory to bending and free vibration analysis of sandwich plates with CNT reinforced composite facesheets, Compos. Struct. 113 (2014) 197–207. Crossref, ISI, Google Scholar
    • 17. Z. X. Wang and H. S. Shen, Nonlinear vibration and bending of sandwich plates with nanotube-reinforced composite face sheets, Compos. Part B-Eng. 43 (2012) 411–421. Crossref, ISI, Google Scholar
    • 18. H. S. Shen, H. Wang and D. Q. Yang, Vibration of thermally postbuckled sandwich plates with nanotube-reinforced composite face sheets resting on elastic foundations, Int. J. Mech. 124–125 (2018) 253–262. Crossref, ISI, Google Scholar
    • 19. T. Fu, Z. Chen, H. Yu, Z. Wang and X. Liu, An analytical study of sound transmission through stiffened double laminated composite sandwich plates, Aerosp. Sci. Tech. 82–83 (2018) 92–104. Crossref, ISI, Google Scholar
    • 20. R. Kolahchi, M. S. Zarei, M. H. Hajmohammad and A. H. Nouri, Wave propagation of embedded viscoelastic FG-CNT-reinforced sandwich plates integrated with sensor and actuator based on refined zigzag theory, Int. J. Mech. Sci. 130 (2017) 534–545. Crossref, ISI, Google Scholar
    • 21. R. Kolahchi, M. S. Zarei, M. H. Hajmohammad and A. N. Oskouei, Visco-nonlocal-refined Zigzag theories for dynamic buckling of laminated nanoplates using differential cubature-Bolotin methods, Thin-Walled Struct. 113 (2017) 162–169. Crossref, ISI, Google Scholar
    • 22. R. Kolahchi, A comparative study on the bending, vibration and buckling of viscoelastic sandwich nano-plates based on different nonlocal theories using DC, HDQ and DQ methods, Aerosp. Sci. Technol. 66 (2017) 235–248. Crossref, ISI, Google Scholar
    • 23. M. H. Hajmohammad, R. Kolahchi, M. S. Zarei and A. H. Nouri, Dynamic response of auxetic honeycomb plates integrated with agglomerated CNT-reinforced face sheets subjected to blast load based on visco-sinusoidal theory, Int. J. Mech. Sci. 153–154 (2019) 391–401. Crossref, ISI, Google Scholar
    • 24. S. K. Jalali and M. Heshmati, Buckling analysis of circular sandwich plates with tapered cores and functionally graded carbon nanotubes-reinforced composite face sheets, Thin-Walled Struct. 100 (2016) 14–24. Crossref, ISI, Google Scholar
    • 25. R. Ansari, J. Torabi and E. Hasrati, Axisymmetric nonlinear vibration analysis of sandwich annular plates with FG-CNTRC face sheets based on the higher-order shear deformation plate theory, Aerosp. Sci. Technol. 77 (2018) 306–319. Crossref, ISI, Google Scholar
    • 26. K. Mehar and S. K. Panda, Thermal free vibration behavior of FG-CNT reinforced sandwich curved panel using finite element method, Polym. Compos. John Wiley & Sons Inc 39 (2018) 2751–2764. Crossref, ISI, Google Scholar
    • 27. A. Sankar, S. Natarajan, T. B. Zineb and M. Ganapathi, Investigation of supersonic flutter of thick doubly curved sandwich panels with CNT reinforced facesheets using higher-order structural theory, Compos. Struct. 127 (2015) 340–355. Crossref, ISI, Google Scholar
    • 28. M. H. Hajimohammad, R. Kolahchi, M. S. Zarei and M. Maleki, Earthquake induced dynamic deflection of submerged viscoelastic cylindrical shell reinforced by agglomerated CNTs considering thermal and moisture effects, Compos. Struct. 187 (2018) 498–508. Crossref, ISI, Google Scholar
    • 29. R. S. Kumar, S. I. Kundalwal and M. C. Ray, Control of large amplitude vibrations of doubly curved sandwich shells composed of fuzzy fiber reinforced composite facings, Aerosp. Sci. Technol. 70 (2017) 10–28. Crossref, ISI, Google Scholar
    • 30. A. Sankar, S. El-Borgi, T. B. Zineb and M. Ganapathi, Dynamic snap-through buckling of CNT reinforced composite sandwich spherical caps, Compos. Part B-Eng. 99 (2016) 472–482. Crossref, ISI, Google Scholar
    • 31. N. D. Duc, V. D. Quang and V. T. Thuy Anh, The nonlinear dynamic and vibration of the S-FGM shallow spherical shells resting on an elastic foundations including temperature effects, Int. J. Mech. 123 (2017) 54–63. Crossref, ISI, Google Scholar
    • 32. N. D. Duc, V. T. Thuy Anh and P. H. Cong, Nonlinear axisymmetric response of FGM shallow spherical shells on elastic foundations under uniform external pressure and temperature, Eur. J. Mech. A Solids 45 (2014) 80–89. Crossref, ISI, Google Scholar
    • 33. H. V. Tung, Nonlinear axisymmetric response of FGM shallow spherical shells with tangential edge constraints and resting on elastic foundations, Compos. Struct. 149 (2016) 231–238. Crossref, ISI, Google Scholar
    • 34. H. V. Tung, Nonlinear thermomechanical stability of shear deformable FGM shallow spherical shells resting on elastic foundations with temperature dependent properties, Compos. Struct. 114 (2014) 107–116. Crossref, ISI, Google Scholar
    • 35. D. H. Bich, D. V. Dung and L. K. Hoa, Nonlinear static and dynamic buckling analysis of functionally graded shallow spherical shells including temperature effects, Compos. Struct. 94 (2012) 2952–2960. Crossref, ISI, Google Scholar
    • 36. D. H. Bich and H. V. Tung, Nonlinear axisymmetric response of functionally graded shallow spherical shells under uniform external pressure including temperature effects, Int. J. Non Linear. Mech. 46 (2011) 1195–1204. Crossref, ISI, Google Scholar
    • 37. M. R. Mao, Y. Fu, S. Ai and D. Fang, Interfacial damage analysis of shallow spherical shell with FGM coating under low velocity impact, Int. J. Mech. 71 (2013) 30–40. Crossref, ISI, Google Scholar
    • 38. M. S. Boroujerdy and M. R. Eslami, Axisymmetric snap-through behavior of Piezo-FGM shallow clamped spherical shells under thermo-electro-mechanical loading, Int. J. Press. Vess. Pip. 120–121 (2014) 19–26. Crossref, ISI, Google Scholar
    • 39. Y. Fu, S. Hu and Y. Mao, Nonlinear transient response of functionally graded shallow spherical shells subjected to mechanical load and unsteady temperature field, Acta Mech. Solida. Sin. 27 (2014) 496–508. Crossref, ISI, Google Scholar
    • 40. Y. Q. Mao, Y. M. Fu, C. P. Chen and Y. L. Li, Nonlinear dynamic response for functionally graded shallow spherical shell under low velocity impact in thermal environment, Appl. Math. Model. 35 (2011) 2887–2900. Crossref, ISI, Google Scholar
    • 41. A. H. Sofiyev, On the vibration and stability of shear deformable FGM truncated conical shells subjected to an axial load, Compos. Part B: Eng. 80 (2015) 53–62. Crossref, ISI, Google Scholar
    • 42. A. H. Sofiyev and N. Kuruoglu, The stability of FGM truncated conical shells under combined axial and external mechanical loads in the framework of the shear deformation theory, Compos. Part B: Eng. 92 (2016) 463–476. Crossref, ISI, Google Scholar
    • 43. F. Tornabene and E. Viola, Free vibration analysis of functionally graded panels and shells of revolution, Meccanica 44 (2009) 255–281. Crossref, ISI, Google Scholar
    • 44. F. Tornabene and E. Viola, Static analysis of functionally graded doubly-curved shells and panels of revolution, Meccanica 48 (2013) 901–930. Crossref, ISI, Google Scholar
    • 45. H. Li, F. Pang and H. Chen, A semi-analytical approach to analyze vibration characteristics of uniform and stepped annular-spherical shells with general boundary conditions, Eur. J. Mech. A Solids 74 (2019) 48–65. Crossref, ISI, Google Scholar
    • 46. R. S. Alwar and M. C. Narasimhan, Axisymmetric non-linear analysis of laminated orthotropic annular spherical shells, Int. J. Nonlinear. Mech. 27 (1992) 611–622. Crossref, ISI, Google Scholar
    • 47. P. C. Dumir, G. P. Dube and A. Mallick, Axisymmetric buckling of laminated thick annular spherical cap, Commun. Nonlinear. Sci. Numer. Simul. 10 (2005) 191–204. Crossref, Google Scholar
    • 48. C. P. Wu and Y. H. Tsai, Asymptotic DQ solutions of functionally graded annular spherical shells, Eur. J. Mech. A Solids 23 (2004) 283–299. Crossref, ISI, Google Scholar
    • 49. N. D. Duc, D. H. Bich and V. T. Thuy Anh, On the nonlinear stability of eccentrically stiffened functionally graded annular spherical segment shells, Thin-Walled Struct. 106 (2016) 258–267. Crossref, ISI, Google Scholar
    • 50. V. T. Thuy Anh, D. H. Bich and N. D. Duc, Nonlinear stability analysis of thin FGM annular spherical shells on elastic foundations under external pressure and thermal loads, Eur. J. Mech. A Solids 50 (2015) 28–38. Crossref, ISI, Google Scholar
    • 51. P. C. Dumir, Nonlinear axisymmetric response of orthotropic thin spherical caps on elastic foundations, Int. J. Mech. Sci. 27 (1985) 751–760. Crossref, ISI, Google Scholar
    • 52. C. S. Xu, Buckling and post-buckling of symmetrically laminated moderately thick spherical caps, Int. J. Solids. Struct. 28 (1991) 1171–1184. Crossref, ISI, Google Scholar
    Published: 6 December 2019