Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Buckling response with stretching effect of carbon nanotube-reinforced composite beams resting on elastic foundation

  • Khelifa, Zoubida (Department of Civil Engineering, Ibn Khaldoun University) ;
  • Hadji, Lazreg (Department of Civil Engineering, Ibn Khaldoun University) ;
  • Daouadji, Tahar Hassaine (Department of Civil Engineering, Ibn Khaldoun University) ;
  • Bourada, Mohamed (Department of Civil Engineering, Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology)
  • Received : 2017.12.28
  • Accepted : 2018.04.30
  • Published : 2018.07.25
⟨ Previous Next ⟩

Abstract

This study deals with buckling analysis with stretching effect of functionally graded carbon nanotube-reinforced composite beams resting on an elastic foundation. The single-walled carbon nanotubes (SWCNTs) are aligned and distributed in polymeric matrix with different patterns of reinforcement. The material properties of the CNTRC beams are estimated by using the rule of mixture. The significant feature of this model is that, in addition to including the shear deformation effect and stretching effect it deals with only 4 unknowns without including a shear correction factor. The equilibrium equations have been obtained using the principle of virtual displacements. The mathematical models provided in this paper are numerically validated by comparison with some available results. New results of buckling analyses of CNTRC beams based on the present theory with stretching effect is presented and discussed in details. the effects of different parameters of the beam on the buckling responses of CNTRC beam are discussed.

Keywords

References

  1. Barzoki, A.A.M., Loghman, A. and Ali Ghorbanpour Arani, A.G. (2015), "Temperature-dependent nonlocal nonlinear buckling analysis of functionally graded SWCNT-reinforced microplates embedded in an orthotropic elastomeric medium", Struct. Eng. Mech., 53(3), 497-517. https://doi.org/10.12989/sem.2015.53.3.497
  2. Berrabah, H.M., Tounsi, A., Semmah, A and Adda Bedia, E.A. (2013), "Comparison of various refined nonlocal beam theories for bending, vibration and buckling analysis of nanobeams", Struct. Eng. Mech., 48(3), 351-365. https://doi.org/10.12989/sem.2013.48.3.351
  3. Bourada, M., Kaci, A., Houari, M.S.A. and Tounsi, A. (2015), "A new simple shear and normal deformations theory for functionally graded beams", Steel Compos. Struct., 18(2), 409-423. https://doi.org/10.12989/scs.2015.18.2.409
  4. Coleman, J.N., Khan, U., Blau, W.J. and Gunko, Y.K. (2006), "Small but strong: A review of the mechanical properties of carbon nanotube-polymer composites", Carbon, 44(9), 1624-1652. https://doi.org/10.1016/j.carbon.2006.02.038
  5. Draiche, K., Tounsi, A. and Mahmoud, S.R. (2016), "A refined theory with stretching effect for the flexure analysis of laminated composite plates", Geomech. Eng., 11(5), 671-690. https://doi.org/10.12989/gae.2016.11.5.671
  6. Hajnayeb, A. and Khadem, S.E. (2015), "An analytical study on the nonlinear vibration of a doublewalled carbon nanotube", Struct. Eng. Mech., 54(5), 987-998. https://doi.org/10.12989/sem.2015.54.5.987
  7. Hamidi, A., Houari, M.S.A., Mahmoud, S.R. and Tounsi, A. (2015), "A sinusoidal plate theory with 5-unknowns and stretching effect for thermomechanical bending of functionally graded sandwich plates", Steel Compos. Struct., 18(1), 235-253. https://doi.org/10.12989/scs.2015.18.1.235
  8. He, X.Q., Rafiee, M. and Mareishi, S. (2015), "Nonlinear dynamics of piezoelectric nanocomposite energy harvesters under parametric resonance", Nonlin. Dyn., 79(3), 1863-1880. https://doi.org/10.1007/s11071-014-1780-8
  9. Hu, N., Fukunaga, H., Lu, C., Kameyama, M. and Yan, B. (2005), "Prediction of elastic properties of carbon nanotube reinforced composites", P. Roy. Soc. A, 461(2058), 1685-1710. https://doi.org/10.1098/rspa.2004.1422
  10. Ke, L.L., Yang, J. and Kitipornchai, S. (2013), "Dynamic stability of functionally graded carbon nanotube-reinforced composite beams", Mech. Adv. Mater. Struct., 20(1), 28-37. https://doi.org/10.1080/15376494.2011.581412
  11. Lei, Z.X., Liew, K.M. and Yu, J.L. (2013), "Large deflection analysis of functionally graded carbon nanotube-reinforced composite plates by the element-free kp-ritz method", Comput. Meth. Appl. Mech. Eng., 256, 189-199. https://doi.org/10.1016/j.cma.2012.12.007
  12. Mareishi, S., Rafiee, M. He, X.Q. and Liew, K.M. (2014), "Nonlinear free vibration, postbuckling and nonlinear static deflection of piezoelectric fiber-reinforced laminated composite beams", Compos. Part B: Eng., 59, 123-132. https://doi.org/10.1016/j.compositesb.2013.11.017
  13. Rafiee, M., He, X.Q. and Liew, K.M. (2014), "Non-linear dynamic stability of piezoelectric functionally graded carbon nanotubereinforced composite plates with initial geometric imperfection", Int. J. Non-Lin. Mech., 59, 37-51. https://doi.org/10.1016/j.ijnonlinmec.2013.10.011
  14. Rafiee, M., He, X.Q., Mareishi, S. and Liew, K.M. (2015), "Nonlinear response of piezoelectric nanocomposite plates: Large deflection, post-buckling and large amplitude vibration", Int. J. Appl. Mech., 7(5), 1550074. https://doi.org/10.1142/S175882511550074X
  15. Rafiee, M., Mareishi, S. and Mohammadi, M. (2012), "An investigation on primary resonance phenomena of elastic medium based carbon nanotubes", Mech. Res. Commun., 44(1), 51-56. https://doi.org/10.1016/j.mechrescom.2012.06.002
  16. Rafiee, M., Nitzsche, F. and Labrosse, M. (2017), "Dynamics, vibration and control of rotating composite beams and blades: A critical review", Thin-Wall. Struct., 119, 795-819. https://doi.org/10.1016/j.tws.2017.06.018
  17. Rafiee, M., Yang, J. and Kitipornchai, S. (2013), "Thermal bifurcation buckling of piezoelectric carbon nanotube reinforced composite beams", Comput. Math. Appl., 66(7), 1147-1160. https://doi.org/10.1016/j.camwa.2013.04.031
  18. Ray, M.C. and Batra, R.C. (2007), "A single-walled carbon nanotube reinforced 1-3 piezoelectric composite for active control of smart structures", Smart Mater. Struct., 16(5), 1936-1947. https://doi.org/10.1088/0964-1726/16/5/051
  19. Tagrara, S.H., Benachour, A., Bachir Bouiadjra, M. and Tounsi, A. (2015), "On bending, buckling and vibration responses of functionally graded carbon nanotube-reinforced composite beams", Steel Compos. Struct., 19(5), 1259-1277. https://doi.org/10.12989/scs.2015.19.5.1259
  20. Wattanasakulpong, N. and Ungbhakorn, V. (2013), "Analytical solutions for bending, buckling and vibration responses of carbon nanotube-reinforced composite beams resting on elastic foundation", Comput. Mater. Sci., 71, 201-208. https://doi.org/10.1016/j.commatsci.2013.01.028
  21. Yas, M.H. and Samadi, N. (2012), "Free vibrations and buckling analysis of carbon nanotube-reinforced composite Timoshenko beams on elastic foundation", Int. J. Pres. Vess. Pip., 98, 119-128. https://doi.org/10.1016/j.ijpvp.2012.07.012
  22. Zhu, R., Pan, E. and Roy, A.K. (2007), "Molecular dynamics study of the stress-strain behavior of carbon-nanotube reinforced Epon 862 composites", Mater. Sci. Eng. A., 447(1-2), 51-57. https://doi.org/10.1016/j.msea.2006.10.054

Cited by

  1. Effect of porosity distribution rate for bending analysis of imperfect FGM plates resting on Winkler-Pasternak foundations under various boundary conditions vol.9, pp.6, 2020, https://doi.org/10.12989/csm.2020.9.6.575
  2. Analysis on the buckling of imperfect functionally graded sandwich plates using new modified power-law formulations vol.77, pp.6, 2018, https://doi.org/10.12989/sem.2021.77.6.797
  3. Optimization and mathematical modelling of multi-layer beam based on sinusoidal theory vol.79, pp.1, 2018, https://doi.org/10.12989/sem.2021.79.1.109