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Thermal buckling analysis of functionally graded sandwich cylindrical shells

  • Daikh, Ahmed Amine (Structural Engineering and Mechanics of Materials Laboratory, Department of Civil Engineering)
  • Received : 2019.07.11
  • Accepted : 2020.05.12
  • Published : 2020.07.25
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Abstract

Thermal buckling of functionally graded sandwich cylindrical shells is presented in this study. Material properties and thermal expansion coefficient of FGM layers are assumed to vary continuously through the thickness according to a sigmoid function and simple power-law distribution in terms of the volume fractions of the constituents. Equilibrium and stability equations of FGM sandwich cylindrical shells with simply supported boundary conditions are derived according to the Donnell theory. The influences of cylindrical shell geometry and the gradient index on the critical buckling temperature of several kinds of FGM sandwich cylindrical shells are investigated. The thermal loads are assumed to be uniform, linear and nonlinear distribution across the thickness direction. An exact simple form of nonlinear temperature rise through its thickness taking into account the thermal conductivity and the inhomogeneity parameter is presented.

Keywords

Acknowledgement

This research was supported by the Algerian Directorate General of Scientific Research and Technological Development (DGRSDT) and University of Mustapha Stambouli of Mascara (UMS Mascara) in Algeria.

References

  1. Asadi, H., Akbarzadeh, A.H., Chen, Z.T. and Aghdam, M.M. (2015), "Enhanced thermal stability of functionally graded sandwich cylindrical shells by shape memory alloys", Smart Mater. Struct., 24(4), 045022. http://doi.org/10.1088/0964-1726/24/4/045022.
  2. Bagherizadeh, E., Kiani, Y. and Eslami, M.R. (2012), "Thermal buckling of functionally graded material cylindrical shells on elastic foundation", AIAA J., 50(2), 500-503. https://doi.org/10.2514/1.J051120.
  3. Brush D.O. and Almroth, B.O. (1975), Buckling of Bars, Plates and Shells, McGraw-Hill, New York, U.S.A.
  4. Daikh, A.A. and Zenkour, A.M. (2019a), "Effect of porosity on the bending analysis of various functionally graded sandwich plates", Mater. Res. Express, 6, 065703. https://doi.org/10.1088/2053-1591/ab0971.
  5. Daikh, A.A. and Zenkour, A.M. (2019b), "Free vibration and buckling of porous power-law and sigmoid functionally graded sandwich plates using a simple higher-order shear deformation theory", Mater. Res. Express, 6, 115707. https://doi.org/10.1088/2053-1591/ab48a9.
  6. Daikh, A.A., Guerroudj, M., Elajrami M. and Megueni, A. (2020), "Thermal buckling of functionally graded sandwich beams", Adv. Mater. Res., 1156, 43-59. https://doi.org/10.4028/www.scientific.net/AMR.1156.43.
  7. Dung, D.V. and Nga, N.T. (2013), "Nonlinear buckling and postbuckling of eccentrically stiffened functionally graded cylindrical shells surrounded by and elastic medium based on the first order shear deformation theory", Vietnam J. Mech., 35, 285-298. https://doi.org/10.15625/0866-7136/35/4/3116.
  8. Finot, M., Suresh, S., Bull, C. and Sampath., S. (1996), "Curvature changes during thermal cycling of a compositionally graded Ni/$A1_2O_3$ multi-layered material", Mater. Sci. Eng. A, 205, 59-71. https://doi.org/10.1016/0921-5093(95)09892-5.
  9. Han, Q., Wang, Z., Nash, D.H. and Liu, P. (2017), "Thermal buckling analysis of cylindrical shell with functionally graded material coating", Compos. Struct., 181, 171-182. http://doi.org/10.1016/j.compstruct.2017.08.085.
  10. Hoang, V.T. and Nguyen., D.D. (2008), "Thermal buckling of imperfect functionally graded cylindrical shells According to Wan-Donnell model", Vietnam J. Mech., 30(3), 185-194. https://doi.org/10.15625/0866-7136/30/3/5618.
  11. Huang, H., Han, Q. and Wei, D. (2011), "Buckling of FGM cylindrical shells subjected to pure bending load", Compos. Struct., 93, 2945-2952. https://doi.org/10.1016/j.compstruct.2011.05.009.
  12. Kadoli, R. and Ganesan, N. (2006), "Buckling and free vibration analysis of functionally graded cylindrical shells subjected to a temperature-specified boundary condition", J. Sound Vib., 289, 450-480. https://doi.org/10.1016/j.jsv.2005.02.034.
  13. Kar, V.R., Panda, S.K. and Mahapatra, T.R. (2016), "Thermal buckling behaviour of shear deformable functionally graded single/doubly curved shell panel with TD and TID properties", Adv. Mater. Res., 5(4), 205-221. https://doi.org/10.12989/amr.2016.5.4.205.
  14. Lang, Z. and Xuewu, L. (2013), "Buckling and vibration analysis of functionally graded magneto-electrothermo- elastic circular cylindrical shells", Appl. Math. Model., 37, 2279-2292. http://doi.org/10.1016/j.apm.2012.05.023.
  15. Lang, Z. and Xuewu, L. (2013), "Buckling and vibration analysis of functionally graded magneto-electrothermo- elastic circular cylindrical shells", Appl. Math. Model., 37(4), 2279-2292. https://doi.org/10.1016/j.apm.2012.05.023.
  16. Mehralian, F., Beni, Y.T. and Ansari, R. (2016), "Size dependent buckling analysis of functionally graded piezoelectric cylindrical nanoshell", Compos. Struct., 152, 45-61. https://doi.org/10.1016/j.compstruct.2016.05.024.
  17. Mirzavand, B. and Eslami, M.R. (2006), "Thermal buckling of imperfect functionally graded cylindrical shells based on the Wan-Donnell model", J. Therm. Stresses, 29(1), 37-55. https://doi.org/10.1080/01495730500257409.
  18. Mirzavand, B. and Eslami, M.R. (2007), "Thermal buckling of simply supported piezoelectric FGM cylindrical shells", J. Therm. Stresses, 30(11), 1117-1135. https://doi.org/10.1080/01495730701416036.
  19. Mirzavand, B., Eslami, M.R. and Shahsiah, R. (2005), "Effect of imperfections on thermal buckling of functionally graded cylindrical shells", AIAA J., 43(9), 2073-2076. https://doi.org/10.2514/1.12900.
  20. Miyamoto, Y., Kaysser, W.A., Rabin, B.H., Kawasaki, A. and Ford, R.G. (1999), Functionally Graded Materials: Design, Processing and Applications, Kluwer Academic, Boston, U.S.A.
  21. Najafizadeh, M.M, Hasani, A. and Khazaeinejad, P. (2009), "Mechanical stability of functionally graded stiffened cylindrical shells", Appl. Math. Model., 33, 1151-1157. https://doi.org/10.1016/j.apm.2008.01.009.
  22. Nasirmanesh, A. and Mohammadi, S. (2016), "Eigenvalue buckling analysis of cracked functionally graded cylindrical shells in the framework of the extended finite element method", Compos. Struct., 159, 548-566. https://doi.org/10.1016/j.compstruct.2016.09.065.
  23. Ni, Y., Tong, Z., Rong, D., Zhou, Z. and Xu, X. (2018), "Accurate thermal buckling analysis of functionally graded orthotropic cylindrical shells under the symplectic framework", Thin-Walled Struct., 129, 1-9. https://doi.org/10.1016/j.tws.2018.03.030.
  24. Ni, Y.W., Tong, Z.Z., Rong, D.L., Zhou, Z.H. and Xu, X.S. (2017), "A new Hamiltonian-based approach for free vibration of a functionally graded orthotropic circular cylindrical shell embedded in an elastic medium", Thin-Walled Struct., 120, 236-248. http://doi.org/10.1016/j.tws.2017.09.003.
  25. Sabzikar Boroujerdy, M., Naj, R. and Kiani, Y. (2014), "Buckling of heated temperature dependent FGM cylindrical shell surrounded by elastic medium", J. Theor. Appl. Mech., 52(4), 869-881. https://doi.org/10.15632/jtam-pl.52.4.869.
  26. Shahsiah, R. and Eslami, M.R. (2003a), "Functionally graded cylindrical shell thermal instability based on improved Donnell equations", AIAA J., 41(9), 1819-1826. https://doi.org/10.2514/2.7301.
  27. Shahsiah, R. and Eslami, M.R. (2003b) "Thermal buckling of functionally graded cylindrical shells", J. Therm. Stresses, 26, 277-294. https://doi.org/10.1080/713855892.
  28. Shariyat, M. and Asgari, D. (2013), "Nonlinear thermal buckling and postbuckling analyses of imperfect variable thickness temperature-dependent bidirectional functionally graded cylindrical shells", Int. J. Pressure Vessels Piping, 112, 310-320. http://doi.org/10.1016/j.ijpvp.2013.09.005.
  29. Shaterzadeh, A. and Foroutan, K. (2016), "Post-buckling of cylindrical shells with spiral stiffeners under elastic foundation", Struct. Eng. Mech., 60(4), 615-631. http://doi.org/10.12989/sem.2016.60.4.615.
  30. Sheng, G.G. and Wang, X. (2008), "Thermal vibration, buckling and dynamic stability of functionally graded cylindrical shells embedded in an elastic medium", J. Reinf. Plast. Compos., 27(2), 117-134. https://doi.org/10.1177/0731684407082627.
  31. Sheng, G.G. and Wang, X. (2008), "Thermal vibration, buckling and dynamic stability of functionally graded cylindrical shells embedded in an elastic medium", J. Reinf. Plast. Compos., 27(2), 117-134. https://doi.org/10.1177/0731684407082627.
  32. Sheng, G.G. and Wang, X. (2010), "Thermoelastic vibration and buckling analysis of functionally graded piezoelectric cylindrical shells", Appl. Math. Model., 34, 2630-2643. https://doi.org/10.1016/j.apm.2009.11.024.
  33. Sofiyev A.H. (2014), "The vibration and buckling of sandwich cylindrical shells covered by different coatings subjected to the hydrostatic pressure", Compos. Struct., 117, 124-134. http://doi.org/10.1016/j.compstruct.2014.06.025.
  34. Sun, J., Lim, C.W., Zhou, Z., Xu, X. and Sun, W. (2016), "Rigorous buckling analysis of size-dependent functionally graded cylindrical nanoshells", J. Appl. Phys., 119, 214303. https://doi.org/10.1063/1.4952984.
  35. Thang, P.T., Duc, N.D. and Nguyen-Thoi, T. (2016), "Effects of variable thickness and imperfection on nonlinear buckling of sigmoidfunctionally graded cylindrical panels", Compos. Struct., 155, 99-106. http://doi.org/10.1016/j.compstruct.2016.08.007.
  36. Thang, P.T., Duc, N.D. and Nguyen-Thoi, T. (2017), "Thermomechanical buckling and post-buckling of cylindrical shell with functionally graded coatings and reinforced by stringers", Aerosp. Sci. Technol., 66, 392-401. http://doi.org/10.1016/j.ast.2017.03.023
  37. Thangaratnam, R.K., Palaninathan, R. and Ramachandran, J. (1990), "Thermal buckling of laminated composite shells", AIAA J., 28(5), 859-860. http://doi.org/10.2414/3.25130.
  38. Trabelsi, S., Frikha, A., Zghal, S. and Dammak, F. (2019), "A modified FSDT-based four nodes finite shell element for thermal buckling analysis of functionally graded plates and cylindrical shells", Eng. Struct., 178, 444-459. https://doi.org/10.1016/j.engstruct.2018.10.047.
  39. Wan, Z. and Li, S. (2017), "Thermal buckling analysis of functionally graded cylindrical shells", Appl. Math. Mech., 38(8), 1059-1070. https://doi.org/10.1007/s10483-017-2225-7.
  40. Wu, L., Jiang, Z. and Liu, J. (2005), "Thermoelastic stability of functionally graded cylindrical shells", Compos. Struct., 70, 60-68. https://doi.org/10.1016/j.compstruct.2004.08.012.
  41. Zenkour, A.M. and Sobhy, M. (2010), "Thermal buckling of various types of FGM sandwich plates", Compos. Struct., 93(1), 93-102. https://doi.org/10.1016/j.compstruct.2010.06.012.
  42. Zhang, Y., Huang, H. and Han, Q. (2015), "Buckling of elastoplastic functionally graded cylindrical shells under combined compression and pressure", Compos. Part B, 69, 120-126. http://doi.org/10.1016/j.compositesb.2014.09.024.
  43. Zhou, Z.H., Ni, Y.W., Tong, Z.Z., Zhu, S.B., Sun, J.B. and Xu, X.S. (2019a), "Accurate nonlinear buckling analysis of functionally graded porous graphene platelet reinforced composite cylindrical shells", Int. J. Mech. Sci., 151, 537-550. https://doi.org/10.1016/j.ijmecsci.2018.12.012.
  44. Zhou, Z.H., Ni, Y.W., Tong, Z.Z., Zhu, S.B., Sun, J.B. and Xu, X.S. (2019b), "Accurate nonlinear stability analysis of functionally graded multilayer hybrid composite cylindrical shells subjected to combined loads", Mater. Des., 182, 108035. https://doi.org/10.1016/j.matdes.2019.108035.

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