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Geometrical nonlinear bending characteristics of SWCNTRC doubly curved shell panels

  • Chavan, Shivaji G. (Department of Mechanical Engineering, S.V.N.I.T) ;
  • Lal, Achchhe (Department of Mechanical Engineering, S.V.N.I.T)
  • Received : 2017.03.07
  • Accepted : 2017.09.05
  • Published : 2018.01.25
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Abstract

In this paper, geometric nonlinear bending characteristics of single wall carbon nanotube reinforced composite (SWCNTRC) doubly curved shell panels subjected to uniform transversely loadings are investigated. The nonlinear mathematical model is developed for doubly curved SWCNTRC shell panel on the basis of higher-order shear deformation theory and Green- Lagrange nonlinearity. All nonlinear higher order terms are included in the mathematical model. The effective material properties of SWCNTRC are estimated by using Eshelby-Mori-Tanaka micromechanical approach. The governing equation of the shell panel is obtained using the total potential energy principle and a Newton-Raphson iterative method is employed to compute the nonlinear displacement and stresses. The present results are compared with published literature. The effect of SWCNT volume fraction, width-to-thickness ratio, radius-to-width ratio (R/a), boundary condition, linear and nonlinear deflection, stresses and different types of shell geometry on nonlinear bending response is investigated.

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References

  1. Chavan, S.G. and Lal, A. (2017), "Bending behavior of SWCNT reinforced composite plates", Steel Compos. Struct., 24(5), 537-548. https://doi.org/10.12989/SCS.2017.24.5.537
  2. Chavan, S.G. and Lal, A. (2017), "Bending analysis of laminated SWCNT reinforced functionally graded plate using FEM", Curv. Lay. Struct., 4(1), 134-145.
  3. Chavan, S.G. and Lal, A. (2017), "Dynamic bending response of SWCNT reinforced composite plates subjected to hygro-thermo-mechanical loading", Comput. Concrete, 20(2), 229-246. https://doi.org/10.12989/CAC.2017.20.2.229
  4. Dai, H.L. and Dai, T. (2014), "Analysis for the thermo-elastic bending of a functionally graded material cylindrical shell", Meccan., 49, 1069-1081. https://doi.org/10.1007/s11012-013-9853-1
  5. Jin, G., Ye, T., Ma, X., Chen, Y., Su, Z. and Xie, X. (2013), "A unified approach for the vibration analysis of moderately thick composite laminated cylindrical shells with arbitrary boundary conditions", J. Mech. Sci., 75, 357-376. https://doi.org/10.1016/j.ijmecsci.2013.08.003
  6. Kar, V.R. and Panda, S.K. (2015), "Thermo-elastic analysis of functionally graded doubly curved shell panels using nonlinear finite element method", Compos. Struct., 129, 202-212. https://doi.org/10.1016/j.compstruct.2015.04.006
  7. Katariya, P.V. and Panda, S.K. (2016), "Thermal buckling and vibration analysis of laminated composite curved shell panel", Aircr. Eng. Aerosp. Technol., 88(1), 97-107. https://doi.org/10.1108/AEAT-11-2013-0202
  8. Khatibinia, M., Feizbakhsh, A., Mohseni, E. and Ranjbar, M.M. (2016), "Modeling mechanical strength of self-compacting mortar containing nanoparticles using wavelet-based support vector machine", Comput. Concrete, 18(6) 1065-1082. https://doi.org/10.12989/CAC.2016.18.6.1065
  9. Kulikov, G.M., Mamontov, A.A., Plotnikova, S.V. and Mamontov, S.A. (2016), "Exact geometry solid-shell element based on a sampling surfaces technique for 3D stress analysis of doubly-curved composite shells", Curv. Lay. Struct., 3(1), 1-16. https://doi.org/10.1515/cls-2016-0001
  10. Lal, A., Singh, B.N. and Anand, S. (2011), "Nonlinear bending response of laminated composite spherical shell panel with system randomness subjected to hygro-thermo-mechanical loading", J. Mech. Sci., 53, 855-866. https://doi.org/10.1016/j.ijmecsci.2011.07.008
  11. Lei, Z.X., Liew, K.M. and Yu, J.L. (2013), "Large deflection analysis of functional graded carbon nanotube-reinforcement composite plates by element-free Kp-ritz method", Comput. Meth. Appl. Mech. Eng., 256, 189-199. https://doi.org/10.1016/j.cma.2012.12.007
  12. Lezgy-Nazargah, M. and Cheraghi, N. (2015), "An exact peano series solution for bending analysis of imperfect layered FG neutral magneto-electro-elastic plates resting on elastic foundations", Mech. Adv. Mater. Struct., 24(3), 183-199.
  13. Lopatin, A., Morozov, E.V. and Shatov A.V. (2016), "Bending of the composite lattice cylindrical shell with the midspan rigid disk loaded by transverse inertia forces", Compos. Struct., 150, 181-190. https://doi.org/10.1016/j.compstruct.2016.05.015
  14. Mahapatra Trupti, R., Kar Vishesh, R. and Panda, S.K. (2015), "Nonlinear free vibration analysis of laminated composite doubly curved shell panel in hygro-thermal environment", J. Sandw. Struct. Mater., 1-35.
  15. Mahapatra, T.R., Mehar, K., Panda, S.K., Dewangan, S. and Dash, S. (2016), "Flexural strength of functionally graded nanotube reinforced sandwich spherical panel", Mater. Sci. Eng., 178 012031.
  16. Mehar, K. and Panda, S.K. (2015), "Free vibration and bending behaviour of CNT reinforced composite plate using different shear deformation theory", Mater. Sci. Eng., 115(1), 012014.
  17. Mehar, K., Panda, S.K. (2016), "Geometrical nonlinear free vibration analysis of FG-CNT reinforced composite flat panel under uniform thermal field", Compos. Struct., 143, 336-346. https://doi.org/10.1016/j.compstruct.2016.02.038
  18. Mehar, K. and Panda, S.K. (2016), "Nonlinear static behaviors of FG-CNT reinforced composite flat panel under thermo-mechanical load", J. Aerosp. Eng., 30(3), 04016100.
  19. Mehar, K. and Panda, S.K. (2016), "Numerical investigation of nonlinear thermom-echanical deflection of functionally graded CNT reinforced doubly curved composite shell panel under different mechanical loads", Compos. Struct., 161, 287-298.
  20. Mehar, K. and Panda, S.K. (2016), "Thermal free vibration behaviour of FG-CNT reinforced sandwich curved panel using finite element method", Polym. Compos.
  21. Mehar, K., Panda, S.K., Dehengia, A. and Kar, V.R. (2015), "Vibration analysis of functionally graded carbon nanotube reinforced composite plate in thermal environment", J. Sandw. Struct. Mater., 18(2), 151-173. https://doi.org/10.1177/1099636215613324
  22. Orakdogen, E., Kucukarslan, S., Sofiyev, A. and Omurtag, M.H. (2010), "Finite element analysis of functionally graded plates for coupling effect of extension and bending", Meccan., 45, 63-72. https://doi.org/10.1007/s11012-009-9225-z
  23. Orakdogen, E., Kucukarslan, S., Sofiyev, A. and Omurtag, M.H. (2010), "Finite element analysis of functionally graded plates for coupling effect of extension and bending", Meccan., 45, 63-72. https://doi.org/10.1007/s11012-009-9225-z
  24. Panda, S.K. and Singh, B.N. (2009), "Nonlinear free vibration of spherical shell panel using higher order shear deformation theory-a finite element approach", J. Press. Vess. Pip., 86, 373-383. https://doi.org/10.1016/j.ijpvp.2008.11.023
  25. Panda, S.K. and Singh, B.N. (2009), "Nonlinear free vibration of spherical shell panel using higher order shear deformation theory-a finite element approach", J. Press. Vess. Pip., 86, 373-383. https://doi.org/10.1016/j.ijpvp.2008.11.023
  26. Reddy, J.N. (2004), Mechanics of Laminated Composite Plate and Shells, 2nd Edition, CRC Press, New York, Washington, U.S.A.
  27. Sadowski, A.J. and Michael, R.J. (2013), "Solid or shell finite elements to model thick cylindrical tubes and shells under global bending", J. Mech. Sci., 74, 143-153. https://doi.org/10.1016/j.ijmecsci.2013.05.008
  28. Shariyat, M. (2012), "A general nonlinear global-local theory for bending and buckling analyses of imperfect cylindrical laminated and sandwich shells under thermo-mechanical loads", Meccan., 47, 301-319. https://doi.org/10.1007/s11012-011-9438-9
  29. Shen, H.S. and Xiang, Y. (2014), "Nonlinear bending of nanotube-reinforced composite cylindrical panels resting on elastic foundations in thermal environments", Eng. Struct., 80, 163-172. https://doi.org/10.1016/j.engstruct.2014.08.038
  30. Sobhani, A.B., Nasrollah, B.A.H. and Hedayati, H. (2012), "Eshelby-Mori-Tanaka approach for vibrational behavior of continuously graded carbon nanotube-reinforced cylindrical panels", Compos. Part B, 43, 1943-1954. https://doi.org/10.1016/j.compositesb.2012.01.004
  31. Sofiyev, A.H., Karaca, Z. and Zerin, Z. (2017), "Non-linear vibration of composite orthotropic cylindrical shells on the non-linear elastic foundations within the shear deformation theory", Compos. Struct., 159, 53-62. https://doi.org/10.1016/j.compstruct.2016.09.048
  32. Song, Z.G., Zhang, L.W. and Liew, K.M. (2016), "Vibration analysis of CNT-reinforced functionally graded composite cylindrical shells in thermal environments", J. Mech. Sci., 115, 339-347.
  33. Tornabene, F. and Viola, E. (2009), "Free vibration analysis of functionally graded panels and shells of revolution", Meccan., 44, 255-281. https://doi.org/10.1007/s11012-008-9167-x