Iranian Journal of Mechanical Engineering Transactions of ISME

Iranian Journal of Mechanical Engineering Transactions of ISME

Thermal stability analysis of cylindrical shell reinforced with GPL graphene sheets using differential squares method

Author
Associated professor, Flight & Engineering Department, Imam Ali University, Tehran, Iran
Abstract
In the current paper thermal buckling of cylindrical shells reinforced with GPL graphene sheets subjected to uniform temperature rise is investigated. Nanocomposite shell reinforced by graphene platelets (GPLs). It is assumed that the GPLs are randomly oriented and uniformly distributed along in each layer. Variation of volume fraction from each layer to other is based on the several functionally graded types. The effective material properties are obtained using the Halpin-Tsai rule. The equilibrium equations are obtained considering the first order shear deformation shell theory, Donnell assumption, and Von-karman type of geometrical nonlinearity. The linear obtained stability equations are discrete utilizing the generalized differential quadrature procedure along the shell domain. Then the eigenvalue problem is solved and critical buckling temperature is calculated. In the section of numerical results, after validation, the effects of geometric parameter, boundary conditions, mass fraction of GPL, and also type of functionally graded on the stability of structure are studied.
Keywords

Subjects


[1] Ebrahimi, F., and Dabbagh, A., “A Comprehensive Review on Modeling of
Nanocomposite Materials and Structures”, Journal of Computational Applied Mechanics,
Vol. 50, pp. 197-209, (2019).
[2] Novoselov, K.S., Geim, A.K., Morozov, S.V., Jiang, D., Zhang, Y., Dubonos, S.V.,
Grigorieva, I.V., and Firsov, A.A., “Electric Field Effect in Atomically Thin Carbon
Films”, Science, Vol. 306, pp. 666-669, (2004).
[3] Reddy, C.D., Rajendran, S., and Liew, K.M., “Equilibrium Configuration and Continuum
Elastic Properties of Finite Sized Graphene”, Nanotechnology, Vol. 17, pp. 864-870,
(2006).
[4] Scarpa, F., Adhikari, S., and Phani, A.S., “Effective Elastic Mechanical Properties of
Single Layer Graphene Sheets”, Nanotechnology, Vol. 20, Art No. 065709, (2009).
[5] Cadelano, E., Palla, P.L., Giordano, S., and Colombo, L., “Nonlinear Elasticity of
Monolayer Graphene”, Physical Review Letters, Vol. 102, Art No. 235502, (2009).
[6] Ni, Z., Bu, H., Zou, M., Yi, H., Bi, K., and Chen, Y., “Anisotropic Mechanical Properties
of Graphene Sheets from Molecular Dynamics”, Physica B: Condensed Matter, Vol. 405,
pp. 1301-1306, (2010).
[7] Rafiee, M.A., Rafiee, J., Wang, Z., Song, H., Yu, Z.Z., and Koratkar, N., “Enhanced
Mechanical Properties of Nanocomposites at Low Graphene Content”, ACS nano, Vol. 3,
pp. 3884-3890, (2009).
[8] Yang, J., Wu, H., and Kitipornchai, S., “Buckling and Postbuckling of Functionally
Graded Multilayer Graphene Platelet-reinforced Composite Beams”, Composite
Structures, Vol. 161, pp. 111-118, (2017).
[9] Wu, H., Yang, J., and Kitipornchai, S., “Dynamic Instability of Functionally Graded
Multilayer Graphene Nanocomposite Beams in Thermal Environment”, Composite
Structures, Vol. 162, pp. 244-254, (2017).
[10] Kitipornchai, S., Chen, D., and Yang, J., “Free Vibration and Elastic Buckling of
Functionally Graded Porous Beams Reinforced by Graphene Platelets”, Materials and
Design, Vol. 116, pp. 656-665, (2017).
[11] Song, M., Chen, L., Yang, J., Zhu, W., and Kitipornchai, S., “Thermal Buckling and
Postbuckling of Edge-cracked Functionally Graded Multilayer Graphene
Nanocomposite Beams on an Elastic Foundation”, International Journal of Mechanical
Sciences, Vol. 161, pp. 105040, (2019).
[12] Yang, Z., Yang, J., Liu, A., and Fu, J., “Nonlinear In-plane Instability of Functionally
Graded Multilayer Graphene Reinforced Composite Shallow Arches”, Composite
Structures, Vol. 204, pp. 301-312, (2018).
[13] Huang, Y., Yang, Z., Liu, A., and Fu, J., “Nonlinear Buckling Analysis of Functionally
Graded Graphene Reinforced Composite Shallow Arches with Elastic Rotational
Constraints under Uniform Radial Load”, Materials, Vol. 11, pp. 910, (2018).
[14] Song, M., Yang, J., Kitipornchai, S., and Zhu, W., “Buckling and Postbuckling of
Biaxially Compressed Functionally Graded Multilayer Graphene Nanoplateletreinforced
Polymer Composite Plates”, International Journal of Mechanical Sciences,
Vol. 131, pp. 345-355, (2017).
[15]Wu, H., Kitipornchai, S., and Yang, J., “Thermal Buckling and Postbuckling of
Functionally Graded Graphene Nanocomposite Plates”, Materials and Design, Vol. 132,
pp. 430-441, (2017).
[16]Yang, J., Dong, J., and Kitipornchai, S., “Unilateral and Bilateral Buckling of
Functionally Graded Corrugated Thin Plates Reinforced with Graphene Nanoplatelets”,
Composite Structures, Vol. 209, pp. 789-801, (2019).
[17] Li, Q., Wu, D., Chen, X., Liu, L., Yu, Y., and Gao, W., “Nonlinear Vibration and
Dynamic Buckling Analyses of Sandwich Functionally Graded Porous Plate with
Graphene Platelet Reinforcement Resting on Winkler-Pasternak Elastic Foundation”,
International Journal of Mechanical Sciences, Vol. 148, pp. 596-610, (2018).
[18] Gholami, R., and Ansari, R., “Nonlinear Stability and Vibration of Pre/post-buckled
Multilayer FG-GPLRPC Rectangular Plates”, Applied Mathematical Modelling, Vol.
65, pp. 627-660, (2019).
[19] Kiani, Y., and Mirzaei, M., “Isogeometric Thermal Postbuckling of FG-GPLRC
Laminated Plates”, Steel and Composite Structures, Vol. 32, pp. 821-832, (2019).
[20] Kiani, Y., “NURBS-based Thermal Buckling Analysis of Graphene Platelet Reinforced
Composite Laminated Skew Plates”, Journal of Thermal Stresses, Vol. 43, Issue. 1, pp.
90-108, (2020).
[21] Wang, Y., Feng, C., Zhao, Z., and Yang, J., “Eigenvalue Buckling of Functionally
Graded Cylindrical Shells Reinforced with Graphene Platelets (GPL)”, Composite
Structures, Vol. 202, pp. 38-46, (2018).
[22] Wang, Y., Feng, C., Zhao, Z., Lu, F., and Yang, J., “Torsional Buckling of Graphene
Platelets (GPLs) Reinforced Functionally Graded Cylindrical Shell with Cutout”,
Composite Structures, Vol. 197, pp. 72-97, (2018).
[23] Liu, D., Kitiporchai, S., Chen, W., and Yang, J., “Three-dimensional Buckling and Free
Vibration Analyses of Initially Stressed Functionally Graded Graphene Reinforced
Composite Cylindrical Shell”, Composite Structures, Vol. 189, pp. 560-569, (2018).
[24] Zhou, Z., Ni, Y., Tong, Z., Zhu, S., and Sun, J., “Accurate Nonlinear Buckling Analysis
of Functionally Graded Porous Graphene Platelet Reinforced Composite Cylindrical
Shells”, International Journal of Mechanical Sciences, Vol. 151, pp. 537-550, (2019).
[25] Haboussi, M., Sankar, A., and Ganapathi, M., “Nonlinear Axisymmetric Dynamic
Buckling of Functionally Graded Graphene Reinforced Porous Nanocomposite Spherical
Caps”, Mechanics of Advanced Materials and Structures, Vol. 28, Issue. 2, pp. 127-140,
(2021).
[26] Shen, H.S., “Thermal Buckling and Postbuckling Behavior of Functionally Graded
Carbon Nanotube-reinforced Composite Cylindrical Shells”, Composites Part B:
Engineering, Vol. 43, pp. 1030-1038, (2012).
[27] Shen, H.S., and Xiang, Y., “Thermal Buckling and Postbuckling Behavior of FG-GRC
Laminated Cylindrical Shells with Temperature-dependent Material Properties”,
Meccanica, Vol. 54, pp. 283-297, (2019).
[28] Reddy, J.N., "Theory and analysis of elastic plates and shells", CRC Press, (2006).
[29] Eslami, M.R., "Buckling and Postbuckling of Beams, Plates, and Shells", Springer,
Switzerland, (2018).
[30] Tornabene, F., Viola, E., and Inman, D. J., “2-D Differential Quadrature Solution for
Vibration Analysis of Functionally Graded Conical, Cylindrical Shell and Annular Plate
Structures”, Journal of Sound and Vibration, Vol. 328, pp. 259-290, (2009).
[31] Shen, H.S., “Thermal Postbuckling Behavior of Functionally Graded Cylindrical Shells
with Temperature-dependent Properties”, International Journal of Solids and
Structures, Vol. 41, pp. 1961-1974, (2004).

  • Receive Date 27 March 2020
  • Revise Date 17 April 2020
  • Accept Date 13 February 2021