A comprehensive analysis of porous graphene-reinforced curved beams by finite element approach using higher-order structural theory: Bending, vibration and buckling
Source abstract
Abstract
Abstract In this paper, the bending, vibration and buckling characteristics of functionally graded porous graphene-reinforced nanocomposite curved beams are studied based on a trigonometric shear deformation theory. The effect of various theories deduced from the proposed formulation on the static and dynamic behavior of curved nanocomposite beams is also studied. The governing equilibrium equations are formed by applying Lagrangian equations of motion coupled with the finite element approach employing a 3-noded C1 continuous curved beam element. The methodology developed here is tested for problems having known solutions in the open literature. A detailed investigation involving various parameters such as coefficient of porosity, type of distribution pattern for the porosity and graphene platelets, radius of curvature of curved beam, length-to-thickness ratio, the platelet geometry, and boundary conditions on the static bending, free vibration and elastic stability behavior of nanocomposite curved beams is conducted. New results for certain boundary conditions of graphene reinforced curved beams are presented. Participation of various types of in-plane and transverse bending modes responsible for yielding the lowest critical buckling loads/natural frequencies are also highlighted.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Composite Structure Analysis and Optimization · Nonlocal and gradient elasticity in micro/nano structures · Numerical methods in engineering
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (67)
Show source-provided references
1. Manufacture, characterisation and application of cellular metals and metal foams10.1016/S0079-6425(00)00002-5 ↗
2. Research process on property and application of metal porous materials10.1016/j.jallcom.2015.09.148 ↗
3. Mater Des · 2002 · 23 · 11910.1016/S0261-3069(01)00049-8 ↗
4. Porous metals and metallic foams: current status and recent developments10.1002/adem.200800241 ↗
5. Graded open-cell aluminium foam core sandwich beams10.1016/j.msea.2005.05.096 ↗
6. Elastic buckling and static bending of shear deformable functionally graded porous beam10.1016/j.compstruct.2015.07.052 ↗
7. Dynamic analysis of functionally graded porous structures through finite element analysis10.1016/j.engstruct.2018.03.023 ↗
8. Nonlinear free vibration of shear deformable sandwich beam with a functionally graded porous core10.1016/j.tws.2016.05.025 ↗
9. The dynamic response of sandwich beams with open-cell metal foam cores10.1016/j.compositesb.2010.09.024 ↗
10. Nonlinear thermomechanical buckling and post-buckling response of porous FGM plates using Reddy’s HSDT10.1016/j.ast.2018.03.020 ↗
11. Effect of the orientation of graphene-based nanoplatelets upon the Young’s modulus of nanocomposites10.1016/j.compscitech.2015.12.005 ↗
12. Mechanical, Thermal, and Electrical Properties of Graphene-Epoxy Nanocomposites—A Review10.3390/polym8080281 ↗
13. A review on carbon nanotubes and graphene as fillers in reinforced polymer nanocomposites10.1016/j.jiec.2014.03.022 ↗
14. Imperfection sensitivity of thermal post-buckling behaviour of functionally graded carbon nanotube-reinforced composite beams10.1016/j.apm.2016.10.045 ↗
15. A comprehensive study on the vibrational behavior of CNT-reinforced composite beams10.1016/j.compstruct.2015.02.033 ↗
16. Dynamics of rotating composite beams: a comparative study between CNT reinforced polymer composite beams and laminated composite beams using spectral finite elements10.1016/j.ijmecsci.2012.07.009 ↗
17. Static and free vibration analyses of carbon nanotube-reinforced composite plates using finite element method with first order shear deformation plate theory10.1016/j.compstruct.2011.11.010 ↗
18. Free vibration analysis of functionally graded carbon nanotube-reinforced composite plates using the element-free kp-Ritz method in thermal environment10.1016/j.compstruct.2013.06.003 ↗
19. Nonlinear vibration of nanotube-reinforced composite plates in thermal environments10.1016/j.commatsci.2011.03.005 ↗
20. Nonlinear vibration and bending of sandwich plates with nanotube-reinforced composite face sheets10.1016/j.compositesb.2011.04.040 ↗
21. Investigation of supersonic flutter of thick doubly curved sandwich panels with CNT reinforced facesheets using higher-order structural theory10.1016/j.compstruct.2015.02.047 ↗
22. Postbuckling of nanotube-reinforced composite cylindrical shells in thermal environments, Part I: axially-loaded shells10.1016/j.compstruct.2011.02.011 ↗
23. Postbuckling of nanotube-reinforced composite cylindrical shells in thermal environments. Part II: pressure-loaded shells10.1016/j.compstruct.2011.04.005 ↗
24. Optimizing the reinforcement of polymer-based nanocomposites by graphene10.1021/nn203917d ↗
25. Bending and free vibration analysis of functionally graded graphene vs. carbon nanotube reinforced composite plates10.1016/j.compstruct.2017.11.076 ↗
26. Mechanical analysis of functionally graded graphene oxide-reinforced composite beams based on the first-order shear deformation theory
27. Buckling and postbuckling of functionally graded multilayer graphene platelet-reinforced composite beams10.1016/j.compstruct.2016.11.048 ↗
28. Nonlinear bending and thermal postbuckling of functionally graded graphene-reinforced composite laminated beams resting on elastic foundations10.1016/j.engstruct.2017.02.069 ↗
29. Enhancement of non-linear thermal stability of temperature dependent laminated beams with graphene reinforcements10.1016/j.compstruct.2017.11.086 ↗
30. Dynamic instability of functionally graded multilayer graphene nanocomposite beams in thermal environment10.1016/j.compstruct.2016.12.001 ↗
31. Nonlinear vibration of functionally graded graphene-reinforced composite laminated beams resting on elastic foundations in thermal environments10.1007/s11071-017-3701-0 ↗
32. Bending and buckling analyses of functionally graded polymer composite plates reinforced with graphene nanoplatelets10.1016/j.compositesb.2017.09.043 ↗
33. Free and forced vibrations of functionally graded polymer composite plates reinforced with graphene nanoplatelets10.1016/j.compstruct.2016.09.070 ↗
34. Nonlinear low-velocity impact response of FG-GRC laminated plates resting on visco-elastic foundations10.1016/j.compositesb.2018.02.016 ↗
35. Lei Z, Su Q, Zeng H, Zhang Y, Yu C. Parametric studies on buckling behavior of functionally graded graphene-reinforced composites laminated plates in thermal environment. Compos Struct; 2018:In-press. (Available Online). https://doi.org/10.1016/j.compstruct.2018.03.079.10.1016/j.compstruct.2018.03.079 ↗
36. Thermal buckling and postbuckling of functionally graded graphene nanocomposite plates10.1016/j.matdes.2017.07.025 ↗
37. Buckling and postbuckling of functionally graded graphene-reinforced composite laminated plates in thermal environments10.1016/j.compositesb.2017.03.020 ↗
38. Thermal buckling and postbuckling of functionally graded graphene-reinforced composite laminated plates resting on elastic foundations10.1016/j.tws.2017.05.006 ↗
39. Three-dimensional buckling and free vibration analyses of initially stressed functionally graded graphene reinforced composite cylindrical shell10.1016/j.compstruct.2018.01.106 ↗
40. Vibration and bending behavior of functionally graded nanocomposite doubly-curved shallow shells reinforced by graphene nanoplatelets10.1016/j.rinp.2018.02.062 ↗
41. Wang Y, Feng C, Zhao Z, Yang J. Eigenvalue buckling of functionally graded cylindrical shells reinforced with graphene platelets (GPL). Compos Struct; 2017: In-press. (Available Online) https://doi.org/10.1016/j.compstruct.2017.10.005.10.1016/j.compstruct.2017.10.005 ↗
42. Buckling of Graphene Platelet Reinforced Composite Cylindrical Shell with Cutout10.1142/S0219455418500402 ↗
43. Nonlinear bending analysis of FG-GRC laminated cylindrical panels on elastic foundations in thermal environments10.1016/j.compositesb.2017.12.048 ↗
44. Postbuckling of functionally graded graphene-reinforced composite laminated cylindrical panels under axial compression in thermal environments10.1016/j.ijmecsci.2017.11.031 ↗
45. Postbuckling of functionally graded graphene-reinforced composite laminated cylindrical shells subjected to external pressure in thermal environments10.1016/j.tws.2017.12.005 ↗
46. Analysis of postbuckling of graded porous GPL-reinforced beams with geometrical imperfection
47. Post-buckling analysis of refined shear deformable graphene platelet reinforced beams with porosities and geometrical imperfection10.1016/j.compstruct.2017.08.082 ↗
48. Nonlinear vibration and postbuckling of functionally graded graphene reinforced porous nanocomposite beams10.1016/j.compscitech.2017.02.008 ↗
49. Free vibration and elastic buckling of functionally graded porous beams reinforced by graphene platelets10.1016/j.matdes.2016.12.061 ↗
50. Buckling and free vibration analyses of functionally graded graphene reinforced porous nanocomposite plates based on Chebyshev-Ritz method10.1016/j.compstruct.2018.03.090 ↗
51. Vibration analysis of functionally graded graphene platelet reinforced cylindrical shells with different porosity distributions
52. Vibration characteristics of functionally graded graphene reinforced porous nanocomposite cylindrical shells with spinning motion10.1016/j.compositesb.2018.03.009 ↗
53. Functionally graded graphene reinforced porous nanocomposite curved beams: Bending and elastic stability using a higher-order model with thickness stretch effect10.1016/j.compositesb.2018.11.074 ↗
54. Elastic stability of curved nanobeam based on higher-order shear deformation theory and nonlocal analysis by finite element approach10.1016/j.finel.2018.04.002 ↗
55. An efficient standard plate theory10.1016/0020-7225(91)90165-Y ↗
56. Ab initio calculation of ideal strength and phonon instability of graphene under tension10.1103/PhysRevB.76.064120 ↗
57. Stiffness prediction of graphene nanoplatelet/epoxy nanocomposites by a combined molecular dynamics–micromechanics method10.1016/j.commatsci.2014.06.002 ↗
58. The Halpin-Tsai equation: a review10.1002/pen.760160512 ↗
59. Enhanced mechanical properties of nanocomposites at low graphene content10.1021/nn9010472 ↗
60. Mechanical model to evaluate the effect of the dispersion in nanocomposites10.1016/j.actamat.2007.01.007 ↗
61. Elastic moduli of model random three-dimensional closed-cell cellular solids10.1016/S1359-6454(00)00314-1 ↗
62. Computation of linear elastic properties of random porous materials with a wide variety of microstructure10.1098/rspa.2001.0900 ↗
63. Bending and buckling of general laminated curved beams using nurbs-based isogeometric analysis10.1016/j.euromechsol.2015.07.006 ↗
64. Timoshenko · 1961
65. Free Vibration of shallow and deep Curved FG Nanobeam via nonlocal Timoshenko curved beam model10.1007/s00339-016-9696-4 ↗
66. A nonlocal higher-order model including thickness stretching effect for bending and buckling of curved nanobeams10.1016/j.apm.2017.12.025 ↗
67. Vibration and buckling analysis of circular arches using DQM10.1016/0045-7949(95)00375-4 ↗