Computers and Concrete

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Deflection and stress behaviour of multi-walled carbon nanotube reinforced laminated composite beams

  • Lal, Achchhe (Department of Mechanical Engineering, SVNIT Surat) ;
  • Markad, Kanif (Department of Mechanical Engineering, SVNIT Surat)
  • Received : 2018.10.10
  • Accepted : 2018.11.30
  • Published : 2018.12.25
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Abstract

The paper presents the thermo-mechanically induced non-linear response of multiwall carbon nanotube reinforced laminated composite beam (MWCNTRCB) supported by elastic foundation using higher order shear deformation theory and von-Karman non-linear kinematics. The elastic properties of MWCNT reinforced composites are evaluated using Halpin-Tsai model by considering MWCNT reinforced polymer matrix as new matrix by dispersing in it and then reinforced with E-glass fiber in an orthotropic manner. The laminated beam is supported by Pasternak elastic foundation with Winkler cubic nonlinearity. A generalized static analysis is formulated using finite element method (FEM) through principle of minimum potential energy approach.

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References

  1. Bhardwaj, G., Upadhyay, A.K., Pandey, R. and Shukla, K.K. (2013), "Non-linear flexural and dynamic response of CNT reinforced laminated composite plates", Compos.: Part B, 45, 89-100. https://doi.org/10.1016/j.compositesb.2012.09.004
  2. Bonnet, P., Sireude, D., Garnier, B. and Chauvet, O. (2007), "Thermal properties and percolation in carbon nanotube-polymer composites", J. Appl. Phys., 91, 2019-2030.
  3. Capozucca, R. and Cerri, M.N. (2002), "Static and dynamic behaviour of RC beam model Strengthened by CFRP-sheets", Constr. Build. Mater., 16(2), 91-99. https://doi.org/10.1016/S0950-0618(01)00036-8
  4. Caudhari, V.K., Niranjan, L.S. and Lal, A. (2014), "Stochastic nonlinear bending response of elastically supported nanotube-reinforced composite beam in thermal environment", Int. J. Comput. Mater. Sci. Eng., 6(2), 1750020.
  5. Chakrabortya, A., Gopalakrishnana, S. and Reddy, J.N. (2003), "A new beam finite element for the analysis of functionally graded materials", Int. J. Mech. Sci., 45, 519-539. https://doi.org/10.1016/S0020-7403(03)00058-4
  6. Colombi, P. and Poggi, C. (2005), "An experimental, analytical and numerical study of the static behaviour of steel beams reinforced by pultruded CFRP strips", Compos., 37(1), 64-73.
  7. Deng, J. and Lee, M.M.K. (2007), "Behaviour under static loading of metallic beams reinforced with a bonded CFRP plate", Compos. Struct., 78(2), 232-242. https://doi.org/10.1016/j.compstruct.2005.09.004
  8. Fidelus, J.D., Wiesel, E., Gojny, F.H., Schulte, K. and Wagner, H.D. (2005), "Thermo-mechanical properties of randomly oriented carbon/epoxy nanocomposites", Compos. Part A, 36, 1555-1561. https://doi.org/10.1016/j.compositesa.2005.02.006
  9. Han, Y. and Elliott, J. (2007), "Molecular dynamics simulations of the elastic properties of polymer/carbon nanotube composites", Comput. Mater. Sci., 39, 315-323. https://doi.org/10.1016/j.commatsci.2006.06.011
  10. Han, Y. and Elliott, J. (2007),"Molecular dynamics simulations of the elastic properties of polymer/carbon nanotube composites", Comput. Mater. Sci., 39, 315-323. https://doi.org/10.1016/j.commatsci.2006.06.011
  11. Kapania, R.K. and Raciti, S. (1989), "Recent advances in analysis of laminated beams and plates. Part I-Shear effects and buckling", AIAA J., 27(7), 923-935. https://doi.org/10.2514/3.10202
  12. Kerur, S.B. (2013), "Geometrically nonlinear static and dynamic analysis of piezoelectric fiber reinforced composite plates and shells", IIT Kharagpur.
  13. Kishan, K.P. and Suresh, J.K. (2017), "Bending analysis of CNT reinforced metal matrix composite rectangular plates using higher order shear deformation theory", IJRASET, 5, 2231-2244.
  14. Kumar, P. and Srinivas, J. (2017), "Free vibration, buckling and bending behavior of a FG-CNT reinforced composite beam: comparative analysis with hybrid laminated composite beam", Multidisc. Model. Mater. Struct., 13(4), 590-611. https://doi.org/10.1108/MMMS-05-2017-0032
  15. Kumar, P. and Srinivas, J. (2017), "Vibration, buckling and bending behavior of functionally graded multi-walled carbon nanotube reinforced polymer composite plates using the layer-wise formulation", Compos. Struct., 177, 158-170. https://doi.org/10.1016/j.compstruct.2017.06.055
  16. Lal, A., Singh, B.N. and Kumar, R. (2007), "Natural frequency of laminated composite plate resting on an elastic foundation with uncertain system properties", Struct. Eng. Mech., 27(2), 199-222. https://doi.org/10.12989/sem.2007.27.2.199
  17. Pradhan, S.C. and Reddy, G.K. (2011), "Thermo mechanical buckling analysis of carbon nanotubes on winkler foundation using non-local elasticity theory and DTM", Ind. Acad. Sci. Sadhana, 36(6), 1009-1019.
  18. Reddy, J.N. (2004), An Introduction to Nonlinear Finite Element Analysis, Oxford University Press, Oxford.
  19. Shegokar, N.L. and Lal, A. (2013), "Stochastic nonlinear bending response of piezoelectric functionally graded beam subjected to thermoelectromechanical loadings with random material properties", Compos. Struct., 100, 17-33. https://doi.org/10.1016/j.compstruct.2012.12.032
  20. Shen, H.S. (2000), "Nonlinear analysis of simply supported Reissner-Mindlin plates subjected to lateral pressure and thermal loading and resting on two-parameter elastic foundations", Eng. Struct., 23, 1481-1493.
  21. Shen, H.S. (2009), "Nonlinear bending of functionally graded carbon nanotube reinforced composite plates in thermal environments", Compos. Struct., 91, 9-19. https://doi.org/10.1016/j.compstruct.2009.04.026
  22. Shen, H.S. (2011), "A novel technique for nonlinear analysis of beams on two-parameter elastic foundations", Int. J. Struct. Stab. Dyn., 11, 999-1014. https://doi.org/10.1142/S0219455411004440
  23. Shen, H.S. and Xiang, Y. (2013), "Nonlinear analysis of nanotube-reinforced composite beams resting on elastic foundations in thermal environments", Eng. Struct., 56, 698-708. https://doi.org/10.1016/j.engstruct.2013.06.002
  24. Shi, G., Lam, K.Y. and Tay, T.E. (1998), "On efficient finite element modeling of composite beams and plates using higher-order theories and an accurate composite beam element", Compos. Struct., 41, 159-165. https://doi.org/10.1016/S0263-8223(98)00050-6
  25. Sina, S.A., Navazi, H.M. and Haddadpour, H. (2009), "An analytical method for free vibration analysis of functionally graded beams", Mater. Des., 30, 741-747. https://doi.org/10.1016/j.matdes.2008.05.015
  26. Singh, B.N., Lal, A. and Kumar, R. (2008), "Nonlinear bending response of laminated composite plates on nonlinear elastic foundation with uncertain system properties", Eng. Struct., 30, 1101-1112. https://doi.org/10.1016/j.engstruct.2007.07.007
  27. Song, Y.S. and Youn, J.R. (2006), "Modeling of effective elastic properties for polymer based carbon nanotube", Compos. Polym., 47, 1741-1748.
  28. Syed, S.H., Muttappa, D., Mahammadrafeeq, M. and Sunil, T. (2017), "Numerical study on static behavior of fiber reinforced composite panels", Int. J. Mech. Prod. Eng., 5(11), 15-21.
  29. Tahouneh, V. (2017), "Using modified Halpin-Tsai approach for vibrational analysis of thick functionally graded multi-walled carbon nanotube plates", Steel Compos. Struct., 23(6), 657-668. https://doi.org/10.12989/SCS.2017.23.6.657
  30. Tahouneh, V. (2017), "Vibration and mode shape analysis of sandwich panel with MWCNTs FG-reinforcement core", Steel Compos. Struct., 25(3), 347-360. https://doi.org/10.12989/SCS.2017.25.3.347
  31. Tahouneh, V. (2018), "3-D Vibration analysis of FG-MWCNTs/Phenolic sandwich sectorial plates", Steel Compos. Struct., 26(5), 649-662. https://doi.org/10.12989/SCS.2018.26.5.649
  32. Thostenson, E.T., Ren, Z. and Chou, T.W. (2001), "Advances in the science and technology of carbon nanotubes and their composites: a review", Compos. Sci. Techno., l61(18), 1899-1912. https://doi.org/10.1016/S0266-3538(01)00094-X
  33. Vo, T.P. and Thai, H.T. (2012), "Static behaviour of composite beams using various refined shear deformation theories", Compos. Struct., 94(8), 2513-2522. https://doi.org/10.1016/j.compstruct.2012.02.010
  34. Wan, H., Delale, F. and Shen, L. (2005), "Effect of CNT length and CNT, matrix interphase in carbon nanotube (CNT) reinforced composites", Mech. Res. Commun., 32, 481-489. https://doi.org/10.1016/j.mechrescom.2004.10.011
  35. William, H., Teukolsky, A.S., William, T.V. and Flannery, P.B. (1992), Numerical Recipes in Fortran, 2nd Edition, Cambridge University Press, Cambridge.
  36. Wuite, J. and Adali, S. (2005), "Deflection and stress behavior of nano composites reinforced beams using a multiscale analysis", Compos. Struct., 71, 388-396. https://doi.org/10.1016/j.compstruct.2005.09.011
  37. Yas, M.H. and Heshmati, M. (2012), "Dynamic analysis of functionally graded nanocomposite beams reinforced by randomly oriented carbon nanotube under the action of moving load", Appl. Math. Model., 36, 1371-1394. https://doi.org/10.1016/j.apm.2011.08.037
  38. Yass, M.H. and Samadi, N. (2012), "Free vibrations and buckling analysis of carbon nanotube-reinforced composite Timoshenko beams on elastic foundation", Int. J. Press. Ves. Pip., 98, 119-128. https://doi.org/10.1016/j.ijpvp.2012.07.012
  39. Ying, J., Lu, C.F. and Chen, W.Q. (2008), "Two-dimensional elasticity solutions for functionally graded beams resting on elastic foundations", Compos. Struct., 84, 209-219. https://doi.org/10.1016/j.compstruct.2007.07.004
  40. Zhang, W. and Xiao, L.N. (2017), "Mechanical behavior of laminated CNT-reinforced composite skew plates subjected to dynamic loading", Compos. Part B, 122, 219-230. https://doi.org/10.1016/j.compositesb.2017.03.041
  41. 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, 51-57. https://doi.org/10.1016/j.msea.2006.10.054

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