Journal of Computational Applied Mechanics

Stability analysis of functionally graded graphene platelets-reinforced nanocomposite shells

Document Type : Research Paper

Authors

1 Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran

2 School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran

Abstract

Investigating the stability of cylindrical shells made of composite materials is a valuable subject in mechanical engineering due to their plethora of usages across various industries. In the present investigation, the stability behavior of graphene platelets (GPLs) enhanced nanocomposite shells is methodically examined. The calculation of the composite material's properties is conducted by utilizing the modified rule of mixtures approach. Additionally, a first-order shear deformation theory is employed in conjunction with the principle of virtual work to establish the essential differential equations for the analysis. The solution to these equations is achieved by applying Galarkin’s method, which is renowned for its accuracy and efficiency in resolving both static and dynamic problems. Verification of the formulated model is done by comparing the results with existing literature. Novel findings are presented showing the variation in buckling behavior of GPL-reinforced nanocomposite shells for assorted circumferential wave numbers. Moreover, the study delves into the impact of variations in GPLs' weight fraction, length and radius to thickness ratios, and the presence of an elastic medium on the critical buckling loads of these advanced composite shell structures.

Keywords

Main Subjects

[1]          C. Lee, X. Wei, J. W. Kysar, J. Hone, Measurement of the elastic properties and intrinsic strength of monolayer graphene, science, Vol. 321, No. 5887, pp. 385-388, 2008.
[2]          M. Rafiee, J. Rafiee, Z.-Z. Yu, N. Koratkar, Buckling resistant graphene nanocomposites, Applied Physics Letters, Vol. 95, No. 22, 2009.
[3]          G. Formica, W. Lacarbonara, R. Alessi, Vibrations of carbon nanotube-reinforced composites, Journal of sound and vibration, Vol. 329, No. 10, pp. 1875-1889, 2010.
[4]          R. Kolahchi, M. Safari, M. Esmailpour, Dynamic stability analysis of temperature-dependent functionally graded CNT-reinforced visco-plates resting on orthotropic elastomeric medium, Composite Structures, Vol. 150, pp. 255-265, 2016.
[5]          M. Nejati, R. Dimitri, F. Tornabene, M. Hossein Yas, Thermal buckling of nanocomposite stiffened cylindrical shells reinforced by functionally graded wavy carbon nanotubes with temperature-dependent properties, Applied Sciences, Vol. 7, No. 12, pp. 1223, 2017.
[6]          M. R. Barati, A. M. Zenkour, Post-buckling analysis of refined shear deformable graphene platelet reinforced beams with porosities and geometrical imperfection, Composite Structures, Vol. 181, pp. 194-202, 2017.
[7]          J. Yang, H. Wu, S. Kitipornchai, Buckling and postbuckling of functionally graded multilayer graphene platelet-reinforced composite beams, Composite Structures, Vol. 161, pp. 111-118, 2017.
[8]          Y. Wang, C. Feng, Z. Zhao, F. Lu, J. Yang, Torsional buckling of graphene platelets (GPLs) reinforced functionally graded cylindrical shell with cutout, Composite Structures, Vol. 197, pp. 72-79, 2018.
[9]          H. Golabchi, R. Kolahchi, M. R. Bidgoli, Vibration and instability analysis of pipes reinforced by SiO2 nanoparticles considering agglomeration effects, Computers and Concrete, An International Journal, Vol. 21, No. 4, pp. 431-440, 2018.
[10]        J. Yang, D. Chen, S. Kitipornchai, Buckling and free vibration analyses of functionally graded graphene reinforced porous nanocomposite plates based on Chebyshev-Ritz method, Composite Structures, Vol. 193, pp. 281-294, 2018.
[11]        M. H. Hajmohammad, M. Maleki, R. Kolahchi, Seismic response of underwater concrete pipes conveying fluid covered with nano-fiber reinforced polymer layer, Soil Dynamics and Earthquake Engineering, Vol. 110, pp. 18-27, 2018.
[12]        X. Chen, Z. Qiu, Reliability assessment of fiber-reinforced composite laminates with correlated elastic mechanical parameters, Composite Structures, Vol. 203, pp. 396-403, 2018.
[13]        M. H. Hajmohammad, A. H. Nouri, M. S. Zarei, R. Kolahchi, A new numerical approach and visco-refined zigzag theory for blast analysis of auxetic honeycomb plates integrated by multiphase nanocomposite facesheets in hygrothermal environment, Engineering with Computers, Vol. 35, pp. 1141-1157, 2019.
[14]        Y. Wang, C. Feng, C. Santiuste, Z. Zhao, J. Yang, Buckling and postbuckling of dielectric composite beam reinforced with Graphene Platelets (GPLs), Aerospace Science and Technology, Vol. 91, pp. 208-218, 2019.
[15]        Z. Zhou, Y. Ni, Z. Tong, S. Zhu, J. Sun, X. Xu, 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.
[16]        F. Ebrahimi, Buckling analysis of graphene oxide powder-reinforced nanocomposite beams subjected to non-uniform magnetic field, Structural Engineering and Mechanics, An Int'l Journal, Vol. 71, No. 4, pp. 351-361, 2019.
[17]        Z. Qin, B. Safaei, X. Pang, F. Chu, Traveling wave analysis of rotating functionally graded graphene platelet reinforced nanocomposite cylindrical shells with general boundary conditions, Results in Physics, Vol. 15, pp. 102752, 2019.
[18]        R. B. Mahani, A. Eyvazian, F. Musharavati, T. A. Sebaey, P. Talebizadehsardari, Thermal buckling of laminated Nano-Composite conical shell reinforced with graphene platelets, Thin-Walled Structures, Vol. 155, pp. 106913, 2020.
[19]        B. Keshtegar, A. Farrokhian, R. Kolahchi, N.-T. Trung, Dynamic stability response of truncated nanocomposite conical shell with magnetostrictive face sheets utilizing higher order theory of sandwich panels, European Journal of Mechanics-A/Solids, Vol. 82, pp. 104010, 2020.
[20]        M.-H. Yas, S. Rahimi, Thermal buckling analysis of porous functionally graded nanocomposite beams reinforced by graphene platelets using Generalized differential quadrature method, Aerospace Science and Technology, Vol. 107, pp. 106261, 2020.
[21]        B. Keshtegar, M. Motezaker, R. Kolahchi, N.-T. Trung, Wave propagation and vibration responses in porous smart nanocomposite sandwich beam resting on Kerr foundation considering structural damping, Thin-Walled Structures, Vol. 154, pp. 106820, 2020.
[22]        R. Kolahchi, S.-P. Zhu, B. Keshtegar, N.-T. Trung, Dynamic buckling optimization of laminated aircraft conical shells with hybrid nanocomposite martial, Aerospace Science and Technology, Vol. 98, pp. 105656, 2020.
[23]        M. Song, Y. Gong, J. Yang, W. Zhu, S. Kitipornchai, Nonlinear free vibration of cracked functionally graded graphene platelet-reinforced nanocomposite beams in thermal environments, Journal of Sound and Vibration, Vol. 468, pp. 115115, 2020.
[24]        Z. Zhang, Y. Li, H. Wu, H. Zhang, H. Wu, S. Jiang, G. Chai, Mechanical analysis of functionally graded graphene oxide-reinforced composite beams based on the first-order shear deformation theory, Mechanics of Advanced Materials and Structures, Vol. 27, No. 1, pp. 3-11, 2020.
[25]        F. Abbaspour, H. Arvin, Thermo-electro-mechanical buckling analysis of sandwich nanocomposite microplates reinforced with graphene platelets integrated with piezoelectric facesheets resting on elastic foundation, Computers & Mathematics with Applications, Vol. 101, pp. 38-50, 2021.
[26]        F. Ebrahimi, P. Hafezi, A. Dabbagh, Buckling analysis of embedded graphene oxide powder-reinforced nanocomposite shells, Defence Technology, Vol. 17, No. 1, pp. 226-233, 2021.
[27]        D. Shahgholian-Ghahfarokhi, G. Rahimi, A. Khodadadi, H. Salehipour, M. Afrand, Buckling analyses of FG porous nanocomposite cylindrical shells with graphene platelet reinforcement subjected to uniform external lateral pressure, Mechanics Based Design of Structures and Machines, Vol. 49, No. 7, pp. 1059-1079, 2021.
[28]        D. Shahgholian-Ghahfarokhi, M. Safarpour, A. Rahimi, Torsional buckling analyses of functionally graded porous nanocomposite cylindrical shells reinforced with graphene platelets (GPLs), Mechanics Based Design of Structures and Machines, Vol. 49, No. 1, pp. 81-102, 2021.
[29]        M. Al-Furjan, A. Farrokhian, B. Keshtegar, R. Kolahchi, N.-T. Trung, Dynamic stability control of viscoelastic nanocomposite piezoelectric sandwich beams resting on Kerr foundation based on exponential piezoelasticity theory, European Journal of Mechanics-A/Solids, Vol. 86, pp. 104169, 2021.
[30]        R. Ansari, R. Hassani, R. Gholami, H. Rouhi, Free vibration analysis of postbuckled arbitrary-shaped FG-GPL-reinforced porous nanocomposite plates, Thin-Walled Structures, Vol. 163, pp. 107701, 2021.
[31]        M. Al-Furjan, A. Farrokhian, S. Mahmoud, R. Kolahchi, Dynamic deflection and contact force histories of graphene platelets reinforced conical shell integrated with magnetostrictive layers subjected to low-velocity impact, Thin-Walled Structures, Vol. 163, pp. 107706, 2021.
[32]        R. Kolahchi, F. Kolahdouzan, A numerical method for magneto-hygro-thermal dynamic stability analysis of defective quadrilateral graphene sheets using higher order nonlocal strain gradient theory with different movable boundary conditions, Applied Mathematical Modelling, Vol. 91, pp. 458-475, 2021.
[33]        J. Zheng, C. Zhang, F. Musharavati, A. Khan, T. A. Sebaey, A. Eyvazian, Forced vibration characteristics of embedded graphene oxide powder reinforced metal foam nanocomposite plate in thermal environment, Case Studies in Thermal Engineering, Vol. 27, pp. 101167, 2021.
[34]        E. Sobhani, M. Avcar, The influence of various nanofiller materials (CNTs, GNPs, and GOPs) on the natural frequencies of nanocomposite cylindrical shells: a comparative study, Materials Today Communications, Vol. 33, pp. 104547, 2022.
[35]        F. Ebrahimi, M. Nouraei, A. Seyfi, Wave dispersion characteristics of thermally excited graphene oxide powder-reinforced nanocomposite plates, Waves in Random and Complex Media, Vol. 32, No. 1, pp. 204-232, 2022.
[36]        E. Sobhani, A. R. Masoodi, O. Civalek, A. R. Ahmadi-Pari, Agglomerated impact of CNT vs. GNP nanofillers on hybridization of polymer matrix for vibration of coupled hemispherical-conical-conical shells, Aerospace Science and Technology, Vol. 120, pp. 107257, 2022.
[37]        M. Guo, H. Arvin, Nonlinear thermal buckling instability analysis of a rotating nanocomposite beam reinforced with graphene platelet via the Chebyshev–Ritz scheme, Engineering Analysis with Boundary Elements, Vol. 146, pp. 241-251, 2023.
[38]        Z. Li, Q. Zhang, H. Shen, X. Xiao, H. Kuai, J. Zheng, Buckling performance of the encased functionally graded porous composite liner with polyhedral shapes reinforced by graphene platelets under external pressure, Thin-Walled Structures, Vol. 183, pp. 110370, 2023.
[39]        O. Ahmadi, S. Rash-Ahmadi, Geometrically nonlinear post-buckling of advanced porous nanocomposite lying on elastic foundation in hygrothermal environment, Acta Mechanica, pp. 1-19, 2023.
[40]        J. Xiang, Y. Lai, Z. Moradi, M. Khorami, Wave propagation phenomenon of functionally graded graphene oxide powder-strengthened nanocomposite curved beam, Solid State Communications, Vol. 369, pp. 115193, 2023.
[41]        F. Ebrahimi, H. Ezzati, M. Najafi, Wave propagation analysis of functionally graded nanocomposite plate reinforced with graphene platelets in presence of thermal excitation, Acta Mechanica, pp. 1-20, 2023.
[42]        S. Bi, E. Zhang, M. Babaei, F. Tornabene, R. Dimitri, The Influence of GPL Reinforcements on the Post-Buckling Behavior of FG Porous Rings Subjected to an External Pressure, Mathematics, Vol. 11, No. 11, pp. 2421, 2023.
[43]        F. Ebrahimi, M. Nouraei, A. Dabbagh, Thermal vibration analysis of embedded graphene oxide powder-reinforced nanocomposite plates, Engineering with Computers, Vol. 36, pp. 879-895, 2020.
[44]        S. Qaderi, F. Ebrahimi, Vibration analysis of polymer composite plates reinforced with graphene platelets resting on two-parameter viscoelastic foundation, Engineering with Computers, pp. 1-17, 2022.
[45]        N. Vu-Bac, T. Duong, T. Lahmer, P. Areias, R. Sauer, H. Park, T. Rabczuk, A NURBS-based inverse analysis of thermal expansion induced morphing of thin shells, Computer Methods in Applied Mechanics and Engineering, Vol. 350, pp. 480-510, 2019.
[46]        J. Liu, H. Yan, K. Jiang, Mechanical properties of graphene platelet-reinforced alumina ceramic composites, Ceramics International, Vol. 39, No. 6, pp. 6215-6221, 2013.
[47]        Y. Wang, C. Feng, Z. Zhao, J. Yang, Eigenvalue buckling of functionally graded cylindrical shells reinforced with graphene platelets (GPL), Composite Structures, Vol. 202, pp. 38-46, 2018.
Journal of Computational Applied Mechanics
Volume 55, Issue 3
July 2024
Pages 355-368
  • Receive Date: 11 March 2024
  • Revise Date: 24 April 2024
  • Accept Date: 24 April 2024