journal article·2019-12Open access

Three-dimensional free vibration and bending analyses of functionally graded graphene nanoplatelets-reinforced nanocomposite annular plates

Dongying Liu, Zhi Li, Sritawat Kitipornchai, Jie Yang

Abstract

Based on the three-dimensional theory of elasticity, the free vibration and bending analyses of functionally graded graphene nanoplatelets-reinforced nanocomposite (FG-GPLRC) annular plates are performed in this paper. The state-space based differential quadrature method (SS-DQM) is employed to study the vibration and bending behaviors of multilayer FG-GPLRC annular plates with different boundary conditions. The modified Halpin-Tsai micromechanical model and rule of mixtures are used to evaluate the effective material properties of the graphene-based nanocomposites, and five different types of GPL distribution patterns are discussed. After convergence and validation studies to verify the present analyses, comprehensive parametric investigations are conducted to examine the effects of weight fraction, distribution pattern, and geometric parameters of GPLs on free vibration and bending characteristics of the FG-GPLRC annular plates. Numerical results reveal that pattern GPL-X offers the best reinforcing effect for improved natural frequencies and deformation resistances of the nanocomposite annular plates.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Composite Structure Analysis and Optimization · Nonlocal and gradient elasticity in micro/nano structures · Tribology and Wear Analysis

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (49)

Show source-provided references
1. Nanoscale mechanics of graphene and graphene oxide in composites: A scientific and technological perspective10.1002/adma.201505469 ↗
2. Graphene-based composites10.1039/C1CS15078B ↗
3. Graphene/Polymer nanocomposites10.1021/ma100572e ↗
4. Enhanced mechanical properties of nanocomposites at low graphene content10.1021/nn9010472 ↗
5. Fracture and fatigue in graphene nanocomposites10.1002/smll.200901480 ↗
6. Buckling resistant graphene nanocomposites
7. Comparison of the effective conductivity between composites reinforced by graphene nanosheets and carbon nanotubes10.1063/1.2949074 ↗
8. The effect of graphene dispersion on the mechanical properties of graphene/epoxy composites10.1016/j.carbon.2013.03.050 ↗
9. Mechanical properties of graphene nanocomposites: A multiscale finite element prediction10.1016/j.compstruct.2015.05.078 ↗
10. Atomistic simulations on multilayer graphene reinforced epoxy composites10.1016/j.compositesa.2012.02.015 ↗
11. Graphene platelets and their polymer composites: Fabrication, structure, properties, and applications10.1002/adfm.201706705 ↗
12. Nonlinear free vibration of functionally graded polymer composite beams reinforced with graphene nanoplatelets (GPLs)10.1016/j.engstruct.2017.02.052 ↗
13. Nonlinear bending of polymer nanocomposite beams reinforced with non-uniformly distributed graphene platelets (GPLs)10.1016/j.compositesb.2016.11.024 ↗
14. Buckling and postbuckling of functionally graded multilayer graphene platelet-reinforced composite beams10.1016/j.compstruct.2016.11.048 ↗
15. Unilateral and bilateral buckling of functionally graded corrugated thin plates reinforced with graphene nanoplatelets10.1016/j.compstruct.2018.11.025 ↗
16. Dynamic instability of functionally graded multilayer graphene nanocomposite beams in thermal environment10.1016/j.compstruct.2016.12.001 ↗
17. Free and forced vibrations of functionally graded polymer composite plates reinforced with graphene nanoplatelets10.1016/j.compstruct.2016.09.070 ↗
18. Bending and buckling analyses of functionally graded polymer composite plates reinforced with graphene nanoplatelets10.1016/j.compositesb.2017.09.043 ↗
19. Low-velocity impact response of geometrically nonlinear functionally graded graphene platelet-reinforced nanocomposite plates10.1007/s11071-018-4695-y ↗
20. Thermal buckling and postbuckling of functionally graded graphene nanocomposite plates10.1016/j.matdes.2017.07.025 ↗
21. Parametric instability of thermo-mechanically loaded functionally graded graphene reinforced nanocomposite plates10.1016/j.ijmecsci.2017.11.039 ↗
22. Torsional buckling of graphene platelets (GPLs) reinforced functionally graded cylindrical shell with cutout10.1016/j.compstruct.2018.05.056 ↗
23. Eigenvalue buckling of functionally graded cylindrical shells reinforced with graphene platelets (GPL)10.1016/j.compstruct.2017.10.005 ↗
24. Buckling of graphene platelet reinforced composite cylindrical shell with cutout10.1142/S0219455418500402 ↗
25. Large deflection geometrically nonlinear analysis of functionally graded multilayer graphene platelet-reinforced polymer composite rectangular plates10.1016/j.compstruct.2017.08.053 ↗
26. Buckling and postbuckling of functionally graded graphene-reinforced composite laminated plates in thermal environments10.1016/j.compositesb.2017.03.020 ↗
27. Postbuckling behavior of functionally graded graphene-reinforced composite laminated cylindrical shells under axial compression in thermal environments10.1016/j.cma.2017.10.022 ↗
28. Linear and nonlinear free and forced vibrations of graphene reinforced piezoelectric composite plate under external voltage excitation10.1016/j.compstruct.2018.06.076 ↗
29. Geometrically nonlinear analysis of laminated composite quadrilateral plates reinforced with graphene nanoplatelets using the element-free IMLS-Ritz method10.1016/j.compositesb.2018.08.018 ↗
30. Vibration response of a functionally graded graphene nanoplatelet reinforced composite beam under two successive moving masses10.1016/j.compstruct.2018.11.014 ↗
31. Buckling of functionally graded graphene reinforced conical shells under external pressure in thermal environment10.1016/j.compositesb.2018.08.052 ↗
32. Three-dimensional thermoelastic deformations of a functionally graded elliptic plate10.1016/S1359-8368(99)00069-4 ↗
33. Three-dimensional vibration analysis of functionally graded material sandwich plates10.1016/j.jsv.2007.09.018 ↗
34. Three-dimensional free vibration of thick functionally graded annular plates in thermal environment10.1016/j.jsv.2009.09.025 ↗
35. Bending and vibration analysis of functionally graded trapezoidal nanocomposite plates reinforced with graphene nanoplatelets (GPLs)10.1016/j.compstruct.2017.08.044 ↗
36. Thermoelastic analysis of functionally graded graphene reinforced rectangular plates based on 3D elasticity10.1007/s11012-016-0579-8 ↗
37. 3D thermo-mechanical bending solution of functionally graded graphene reinforced circular and annular plates10.1016/j.apm.2017.04.044 ↗
38. 3D thermo-mechanical solution of transversely isotropic and functionally graded graphene reinforced elliptical plates10.1016/j.compstruct.2017.09.086 ↗
39. Coupled thermoelastic analysis of an FG multilayer graphene platelets-reinforced nanocomposite cylinder using meshless GFD method: a modified micromechanical model10.1016/j.enganabound.2017.12.010 ↗
40. Three-dimensional buckling and free vibration analyses of initially stressed functionally graded graphene reinforced composite cylindrical shell10.1016/j.compstruct.2018.01.106 ↗
41. A two-dimensional elasticity model for bending and free vibration analysis of laminated graphene-reinforced composite beams10.1016/j.compstruct.2018.12.033 ↗
42. Elasticity solution for free vibration of laminated beams10.1016/S0263-8223(03)00086-2 ↗
43. Free vibration analysis of generally laminated beams via state-space-based differential quadrature10.1016/S0263-8223(03)00190-9 ↗
44. A differential quadrature as a numerical method to solve differential equations10.1007/s004660050452 ↗
45. Semianalytical three-dimensional solutions for the transient response of functionally graded material rectangular plates
46. Free vibration analysis of functionally graded annular plates by state-space based differential quadrature method and comparative modeling by ANN10.1016/j.compositesb.2011.08.052 ↗
47. Three-dimensional free vibration analysis of functionally graded annular plates using the Chebyshev-Ritz method10.1016/j.matdes.2008.03.001 ↗
48. Semi-analytical solution for three-dimensional vibration of functionally graded circular plates10.1016/j.cma.2007.06.028 ↗
49. Axisymmetric bending of two-directional functionally graded circular and annular plates10.1007/s10338-007-0734-9 ↗