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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Nonlinear Dynamic Buckling Behavior of Axially Loaded Functionally Graded Graphene-Enhanced Composite Laminated Cylindrical Shells in Thermal Conditions

Journal of Applied Nonlinear Dynamics 12(2) (2023) 213--230 | DOI:10.5890/JAND.2023.06.002

Hamad M. Hasan$^1$, Saad S. Alkhfaji$^2$

$^1$ Department of Mechanical Engineering, University of Anbar, Ramadi, Iraq

$^2$ Department of Medical Instrumentation Engineering, Ashur University College, Baghdad, Iraq

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Abstract

The current paper is concerned with dynamic buckling response of axially loaded graphene-enhanced composite (GEC) laminated cylindrical shells under the influence of thermal conditions. Graphene layers are arranged in a functional graded (FG) along the direction of the shell thickness. A modified Halpin-Tsai approach is utilized to estimate the material properties of GECs and these properties are considered to be temperature dependent. Theoretical Framework is conducted based on the shear deformation theory (SDT) in conjunction with the von-K\'{a}rm\'{a}n relation and imperfection geometric effect. By utilizing Galerkin manner in concurrent with the Airy's stress function, the derived nonlinear partial differential equations are solved numerically using the fourth-order Runge--Kutta manner. Budiansky--Roth standard is used to predict the dynamic buckling loads. Besides, a specific study was executed to detect the effect of graphene sheets distribution type, temperature, loading rate, imperfection geometric parameter and the geometric parameter on the GECs laminated cylindrical shells. The proposed method was validated via comparing the results obtained with those from other published ones.

References

  1. [1]  Novoselov, K.S., Geim, A.K., Morozov, S.V., Jiand, D., Zhang, Y., Dubonos, S.V., GrIgorieva, I.V., and Firsov, A.A. (2004), Electric field in atomically thin carbon films, Science, 306, 666-669.
  2. [2]  Reddy, C.D., Rajendran, S., and Liew, K.M. (2006), Equilibrium configuration and continuum elastic properties of finite sized graphene, Nanotechnology, 17, 864-70.
  3. [3]  Scarpa, F., Adhikari, S., and Srikantha Phani, A. (2009), Effective elastic mechanical properties of single layer graphene sheets, Nanotechnology, 20.
  4. [4]  Cadelano, E., Palla, P.L., Giordano, S., and Colombo, L. (2009), Nonlinear elasticity of monolayer graphene. Physical Review Letters, 102, 1-4.
  5. [5]  Yan, J.W., Zhang, L.W., and Liew, K.M. (2016), A multiscale computational framework for the analysis of graphene involving geometrical and material nonlinearities, Computer Methods in Applied Mechanics and Engineering, 310, 208-232.
  6. [6]  Ni, Z., Bu, H., Zou, M., Yi, H., Bi, K., and Chen Y. (2010), Anisotropic mechanical properties of graphene sheets from molecular dynamics, Physica B: Condensed Matter, 405, 1301-6.
  7. [7]  Zhang, Y.Y., Wang, C.M., Cheng, Y., and Xiang, Y. (2011), Mechanical properties of bilayer graphene sheets coupled by sp3 bonding, Carbon, 49, 4511-7.
  8. [8]  Shen, H.S., Shen, L., and Zhang, C.L. (2011), Nonlocal plate model for nonlinear bending of single-layer graphene sheets subjected to transverse loads in thermal environments, Applied Physics A Materials Science $\&$ Processing, 103, 103-12.
  9. [9]  Xu, Y.M., Shen, H.S., and Zhang, C.L., (2013), Nonlocal plate model for nonlinear bending of bilayer graphene sheets subjected to transverse loads in thermal environments, Composite Structures, 98, 294-302.
  10. [10]  Novoselov, K.S., Geim, A.K., Morozov, S.V., Jiang, D., Zhang, Y., and Dubonos, S.V. (2004), Electric field in atomically thin carbon films, Science, 306, 666-9.
  11. [11]  Stankovich, S., Dikin, D.A., Dommett, G.H.B., Kohlhaas, K.M., Zimney, E.J., and Stach, E.A. (2006), Graphene-based composite materials, Nature, 442, 282-6.
  12. [12]  Potts, J.R., Dreyer, D.R., Bielawski, C.W., and Ruoff, R.S. (2011), Graphene-based polymer nanocomposites, Polymer, 52, 5-25.
  13. [13]  Das, T.K. and Prusty, S. (2013), Graphene-based polymer composites and their applications, Polymer-Plastics Technology and Engineering, 52, 319-31.
  14. [14]  Hu, K., Kulkarni, D.D., Choi, I., and Tsukruk, V.V. (2014), Graphene-polymer nanocomposites for structural and functional applications, Progress in Polymer Science, 39, 1934-72.
  15. [15]  Sadasivuni, K.K., Kafy, A., Kim, H.C., Ko, H.U., Mun, S., and, Kim, J. (2015), Reduced graphene oxide filled cellulose films for flexible temperature sensor application, Synthetic Metals, 206, 154-61.
  16. [16]  Milani, M.A., Gonz{a}lez, D., Quijada, R., Basso, N.R.S., Cerrada, M.L., and Azambuja, D.S. (2013), Polypropylene/graphene nanosheet nanocomposites by in situ polymerization: Synthesis, characterization and fundamental properties, Composites Science and Technology, 84, 1-7.
  17. [17]  Putz, K.W., Compton, O.C., Palmeri, M.J., Nguyen, S.B.T., and Brinson, L.C. (2010), High-nanofiller-content graphene oxide-polymer nanocomposites via vacuum-assisted self-assembly, Advanced Functional Materials, 20, 3322-9.
  18. [18]  Parashar, A., and Mertiny, P. (2012), Representative volume element to estimate buckling behavior of graphene/polymer nanocomposite, Nanoscale Research Letters, 7, 1-6.
  19. [19]  Song, M., Yang, J., Kitipornchai, S., and Zhu, W. (2017), Buckling and postbuckling of biaxially compressedfunctionally graded multilayer graphene nanoplatelet-reinforced polymer composite plates, International Journal of Mechanical Sciences, 131-132, 345-55.
  20. [20]  Feng, C., Kitipornchai, S., and Yang, J. (2017), Nonlinear bending of polymer nanocomposite beams reinforced with non-uniformly distributed graphene platelets (GPLs), Composites Part B: Engineering, 110, 132-40.
  21. [21]  Song, M., Kitipornchai, S., and Yang, J. (2017), Free and forced vibrations of functionally graded polymer composite plates reinforced with graphene nanoplatelets, Composite Structures, 159, 579-88.
  22. [22]  Rafiee, M.A., Rafiee, J., Yu, Z.Z., and Koratkar, N. (2009), Buckling resistant graphene nanocomposites, Physical Review Letters , 95, 1-4.
  23. [23]  Shen, H.S., Xiang, Y., and Lin, F. (2017), Nonlinear vibration of functionally graded graphene-reinforced composite laminated plates in thermal environments, Computer Methods in Applied Mechanics and Engineering, 319, 175-93.
  24. [24]  Shen, H.S., Xiang, Y., Lin, F., and Hui, D. (2017), Buckling and postbuckling of functionally graded graphene-reinforced composite laminated plates in thermal environments, Composites Part B: Engineering, 119, 67-78.
  25. [25]  Ansari, R. and Torabi, J. (2019), Semi-analytical postbuckling analysis of polymer nanocomposite cylindrical shells reinforced with functionally graded graphene platelets, Thin-Walled Structures, 144, 106248.
  26. [26]  Shen, H.S. and Xiang, Y. (2018), Postbuckling behavior of functionally graded graphene-reinforced composite laminated cylindrical shells under axial compression in thermal environments, Computer Methods in Applied Mechanics and Engineering, 330, 64-82.
  27. [27]  Dong, Y.H., He, L.W., Wang, L., Li, Y. H., and Yang, J. (2018), Buckling of spinning functionally graded graphene reinforced porous nanocomposite cylindrical shells: An analytical study, Aerospace Science and Technology, 82-83, 466-78.
  28. [28]  Shahgholian-Ghahfarokhi, D., Safarpour, M., and Rahimi, A. (2021), Torsional buckling analyses of functionally graded porous nanocomposite cylindrical shells reinforced with graphene platelets (GPLs), Mechanics Based Design of Structures and Machine, 49, 81-102.
  29. [29]  Dong, Y.H., Li, Y.H., Chen, D., and Yang, J. (2018), Vibration characteristics of functionally graded graphene reinforced porous nanocomposite cylindrical shells with spinning motion, Composites Part B: Engineering, 145, 1-13.
  30. [30]  Bich, D.H., and Ninh, D.G. (2017), Research on dynamical buckling of imperfect stiffened three-layered toroidal shell segments containing fluid under mechanical loads, Acta Mechanic, 228, 711-30.
  31. [31]  Viet Hoang, V.N., Tien, N.D., Ninh, D.G., Thang, V.T., and Truong, D.Van. (2020), Nonlinear dynamics of functionally graded graphene nanoplatelet reinforced polymer doubly-curved shallow shells resting on elastic foundation using a micromechanical model, Journal of Sandwich Structures $\&$ Materials, 1-30.
  32. [32]  Bich, D.H., Ninh, D.G., Kien, B.H., and Hui, D. (2016), Nonlinear dynamical analyses of eccentrically stiffened functionally graded toroidal shell segments surrounded by elastic foundation in thermal environment, Composites Part B: Engineering, 95, 355-73.
  33. [33]  Ninh, D. G., Tien, N.D., and Hoang, V.N.V. (2019), Analyses of nonlinear dynamics of imperfect nanocomposite circular cylindrical shells with swirling annular and internal fluid flow using higher order shear deformation shell theory, Engineering Structures, 198, 109502.
  34. [34]  Ninh, D.G., Hoang, V.N.V., and Huy, V.Le. (2021), A new structure study: Vibrational analyses of FGM convex-concave shells subjected to electro-thermal-mechanical loads surrounded by Pasternak foundation, European Journal of Mechanics - A/Solids, 86, 104168.
  35. [35]  Ninh, D.G. and Bich, D.H. (2018), Characteristics of nonlinear vibration of nanocomposite cylindrical shells with piezoelectric actuators under thermo-mechanical loads, Aerospace Science and Technology, 77, 595-609.
  36. [36]  Ninh, D.G. and Tien, N.D. (2019), Investigation for electro-thermo-mechanical vibration of nanocomposite cylindrical shells with an internal fluid flow, Aerospace Science and Technology , 92, 501-19.
  37. [37]  Amabili, M. (2018), Nonlinear vibrations and stability of laminated shells using a modified first-order shear deformation theory, European Journal of Mechanics - A/Solids, 68, 75-87.
  38. [38]  Wang, Y.Q., Ye, C., and Zu, J.W. (2019), Nonlinear vibration of metal foam cylindrical shells reinforced with graphene platelets, Aerospace Science and Technology, 85, 359-70.
  39. [39]  Dong, Y.H., Zhu, B., Wang, Y., Li, Y.H., and Yang, J. (2018), Nonlinear free vibration of graded graphene reinforced cylindrical shells: Effects of spinning motion and axial load, Journal of Sound and Vibration, 437, 79-96.
  40. [40]  Barati, M.R., and Zenkour, A.M. (2019), Vibration analysis of functionally graded graphene platelet reinforced cylindrical shells with different porosity distributions, Mechanics of Advanced Materials and Structures, 26, 1580-8.
  41. [41]  Arefi, M., Moghaddam, S.K., Bidgoli, E.M.R., Kiani, M., and Civalek, O. (2021), Analysis of graphene nanoplatelet reinforced cylindrical shell subjected to thermo-mechanical loads, Composite Structures, 255, 112924.
  42. [42]  Aksogan, O. and Sofiyev, A.H. (2002), Dynamic buckling of a cylindrical shell with variable thickness subject to a time-dependent external pressure varying as a power function of time, Journal of Sound and Vibration, 254, 693-702.
  43. [43]  Huang, H. and Han, Q. (2010), Nonlinear dynamic buckling of functionally graded cylindrical shells subjected to time-dependent axial load, Composite Structures, 92, 593-8.
  44. [44]  Huy Bich, D., Van Dung, D., Nam, V.H., and Thi Phuong, N. (2013), Nonlinear static and dynamic buckling analysis of imperfect eccentrically stiffened functionally graded circular cylindrical thin shells under axial compression, International Journal of Mechanical Sciences, 74, 190-200.
  45. [45]  Bich, D.H., Dung, D.V., and Nam, V. H. (2012), Nonlinear dynamical analysis of eccentrically stiffened functionally graded cylindrical panels, Composite Structures, 94, 2465-73.
  46. [46]  Dung, D.V. and Vuong, P. M. (2016), Nonlinear analysis on dynamic buckling of eccentrically stiffened functionally graded material toroidal shell segment surrounded by elastic foundations in thermal environment and under time-dependent torsional loads, Applied Mathematics and Mechanics, 37, 835-60.
  47. [47]  Shaterzadeh, A., Foroutan, K., and Ahmadi, H. (2019), Nonlinear static and dynamic thermal buckling analysis of spiral stiffened functionally graded cylindrical shells with elastic foundation, International Journal of Applied Mechanics, 11.
  48. [48]  Jiao, P., Chen, Z., Li, Y., Ma, H., and Wu, J. (2019), Dynamic buckling analyses of functionally graded carbon nanotubes reinforced composite (FG-CNTRC) cylindrical shell under axial power-law time-varying displacement load, Composite Structures , 220, 784-97.
  49. [49]  Ali, A.Y. and Hasan, H.M. (2019), Nonlinear dynamic stability of an imperfect shear deformable orthotropic functionally graded material toroidal shell segments under the longitudinal constant velocity, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 233, 6827-50.
  50. [50]  Ahmadi, H. and Foroutan, K. (2020), Nonlinear static and dynamic thermal buckling analysis of imperfect multilayer FG cylindrical shells with an FG porous core resting on nonlinear elastic foundation, Journal of Thermal Stresses, 43, 629-49.
  51. [51]  Foroutan, K., Shaterzadeh, A., and Ahmadi, H. (2020), Nonlinear static and dynamic hygrothermal buckling analysis of imperfect functionally graded porous cylindrical shells, Applied Mathematical Modelling, 77, 539-53.
  52. [52]  Gao, K., Gao, W., Wu, D., and Song, C. (2018), Nonlinear dynamic buckling of the imperfect orthotropic E-FGM circular cylindrical shells subjected to the longitudinal constant velocity, International Journal of Mechanical Sciences, 138-139, 199-209.
  53. [53]  Sofiyev, A.H. (2019), Review of research on the vibration and buckling of the FGM conical shells, Composite Structures, 211, 301-17.
  54. [54]  Volmir, A.S. (1974), The Nonlinear Dynamics of Plates and Shells.
  55. [55]  Affdl, J.C.H. and Kardos, J.L. (1976), The Halpin‐Tsai equations: A review, Polymer Engineering $\&$ Science, 16, 344-52.
  56. [56]  Lin, F., Xiang, Y. and Shen, H. S. (2017), Temperature dependent mechanical properties of graphene reinforced polymer nanocomposites - A molecular dynamics simulation, Composites Part B: Engineering, 111, 261-9.
  57. [57]  Shen, L., Shen, H.S., and Zhang, C.L. (2010), Temperature-dependent elastic properties of single layer graphene sheets, Materials $\&$ Design, 31, 4445-9.
  58. [58]  Wang, Z.X., and Shen, H.S. (2018), Nonlinear vibration of sandwich plates with FG-GRC face sheets in thermal environments, Composite Structures, 192, 642-53.
  59. [59]  Shen, H.S., Xiang, Y., and Lin, F. (2017), Thermal buckling and postbuckling of functionally graded graphene-reinforced composite laminated plates resting on elastic foundations, Thin-Walled Structures, 118, 229-37.
  60. [60]  Fan, Y., Xiang, Y., and Shen, H.S. (2019), Nonlinear forced vibration of FG-GRC laminated plates resting on visco-Pasternak foundations, Composite Structures, 209, 443-52.
  61. [61]  Shen, H.S., and Xiang, Y. (2018), Postbuckling of functionally graded graphene-reinforced composite laminated cylindrical shells subjected to external pressure in thermal environments, Thin-Walled Structures, 124, 151-60.
  62. [62]  Administration. (1964), Theory of anisotropic shells. vol. 118.
  63. [63]  Sofiyev, A.H., Hui, D., Haciyev, V.C., Erdem, H., Yuan, G.Q., and Schnack, E. (2017), The nonlinear vibration of orthotropic functionally graded cylindrical shells surrounded by an elastic foundation within first order shear deformation theory, Composites Part B: Engineering, 116, 170-85.
  64. [64]  Sofiyev, A.H. (2016), Nonlinear free vibration of shear deformable orthotropic functionally graded cylindrical shells, Composite Structures, 142, 35-44.
  65. [65]  Sofiyev, A.H. (2015), Influences of shear stresses on the dynamic instability of exponentially graded sandwich cylindrical shells, Composites Part B: Engineering, 77, 349-62.
  66. [66]  Sofiyev, A.H. and Kuruoglu, N. (2014), Buckling and vibration of shear deformable functionally graded orthotropic cylindrical shells under external pressures, Thin-Walled Structures, 78, 121-30.
  67. [67]  Shen, H.S., Xiang, Y., and Fan, Y. (2018), Postbuckling of functionally graded graphene-reinforced composite laminated cylindrical panels under axial compression in thermal environments, International Journal of Mechanical Sciences, 135, 398-409.
  68. [68]  Budiansky, B.R.R. (1960), Axisymmetric dynamic buckling of clamped shallow spherical shells.

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