journal article·2022-04-13Open access

Transient Thermal Stresses in FG Porous Rotating Truncated Cones Reinforced by Graphene Platelets

Masoud Babaei, Faraz Kiarasi, Kamran Asemi, Rossana Dimitri, Francesco Tornabene

Applied Sciences· Volume 12· Issue 8

Abstract

The present work studies an axisymmetric rotating truncated cone made of functionally graded (FG) porous materials reinforced by graphene platelets (GPLs) under a thermal loading. The problem is tackled theoretically based on a classical linear thermoelasticity approach. The truncated cone consists of a layered material with a uniform or non-uniform dispersion of GPLs in a metal matrix with open-cell internal pores, whose effective properties are determined according to the extended rule of mixture and modified Halpin–Tsai model. A graded finite element method (FEM) based on Rayleigh–Ritz energy formulation and Crank–Nicolson algorithm is here applied to solve the problem both in time and space domain. The thermo-mechanical response is checked for different porosity distributions (uniform and functionally graded), together with different types of GPL patterns across the cone thickness. A parametric study is performed to analyze the effect of porosity coefficients, weight fractions of GPL, semi-vertex angles of cone, and circular velocity, on the thermal, kinematic, and stress response of the structural member.
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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.

Affiliations

Department of Mechanical Engineering, University of Eyvanekey, Eyvanekey 9988835918, Iran

Department of Mechanical Engineering, Faculty of Engineering, North Tehran Branch, IslaDmic Azad University, Tehran 1651153311, Iran

Department of Innovation Engineering, Faculty of Engineering, University of Salento, 73100 Lecce, Italy

References (70)

Show source-provided references
1. Steel foam for structures: A review of applications, manufacturing and material properties10.1016/j.jcsr.2011.10.028 ↗
2. Porous metals and metallic foams: Current status and recent developments10.1002/adem.200800241 ↗
3. Effects of porosity and pore size on the compressive properties of closed-cell Mg alloy foam10.1016/j.jma.2013.11.006 ↗
4. Free vibration of functionally graded porous cylindrical shell using a sinusoidal shear deformation theory10.1016/j.ast.2017.03.003 ↗
5. Babaei, M., Asemi, K., and Kiarasi, F. (2020). Static response and free-vibration analysis of a functionally graded annular elliptical sector plate made of saturated porous material based on 3D finite element method. Mech. Based Des. Struct. Mach., 1–25.10.1080/15397734.2020.1864401 ↗
6. Helical microtubules of graphitic carbon10.1038/354056a0 ↗
7. Mechanical analysis of functionally graded carbon nanotube reinforced composites: A review10.1016/j.compstruct.2014.09.041 ↗
8. Static, dynamic and natural frequency analyses of functionally graded carbon nanotube annular sector plates resting on viscoelastic foundation10.1007/s42452-020-03421-7 ↗
9. A review on carbon nanotubes and graphene as fillers in reinforced polymer nanocomposites10.1016/j.jiec.2014.03.022 ↗
10. An effective approach to reinforced closed-cell Al-alloy foams with multiwalled carbon nanotubes10.1016/j.carbon.2015.08.065 ↗
11. Enhanced mechanical properties of nanocomposites at low graphene content10.1021/nn9010472 ↗
12. Production of graded aluminum foams via powder space holder technique10.1016/j.matdes.2012.04.024 ↗
13. Nonlinear vibration and postbuckling of functionally graded graphene reinforced porous nanocomposite beams10.1016/j.compscitech.2017.02.008 ↗
14. Free vibration and elastic buckling of functionally graded porous beams reinforced by graphene platelets10.1016/j.matdes.2016.12.061 ↗
15. Buckling and free vibration analyses of functionally graded graphene reinforced porous nanocomposite plates based on Chebyshev-Ritz method10.1016/j.compstruct.2018.03.090 ↗
16. Nonlinear free vibration of functionally graded graphene platelets reinforced porous nanocomposite plates resting on elastic foundation10.1016/j.compstruct.2018.08.013 ↗
17. Free vibration analysis of functionally graded hybrid matrix/fiber nanocomposite conical shells using multiscale method10.1016/j.ast.2020.105998 ↗
18. Static and free vibration analysis of graphene platelets reinforced composite truncated conical shell, cylindrical shell, and annular plate using theory of elasticity and DQM10.1080/15397734.2019.1646137 ↗
19. Non-polynomial framework for stress and strain response of the FG-GPLRC disk using three-dimensional refined higher-order theory10.1016/j.engstruct.2020.111496 ↗
20. Semi-analytical vibrational analysis of functionally graded carbon nanotubes coupled conical-conical shells10.1016/j.tws.2020.107272 ↗
21. Safarpour, M., Forooghi, A., Dimitri, R., and Tornabene, F. (2021). Theoretical and numerical solution for the bending and frequency response of graphene reinforced nanocomposite rectangular plates. Appl. Sci., 11.10.3390/app11146331 ↗
22. Vibration of FG-CNT and FG-GNP sandwich composite coupled Conical-Cylindrical-Conical shell10.1016/j.compstruct.2021.114281 ↗
23. Agglomerated impact of CNT vs. GNP nanofillers on hybridization of polymer matrix for vibration of coupled hemispherical-conical-conical shells10.1016/j.ast.2021.107257 ↗
24. Natural frequency responses of hybrid polymer/carbon fiber/FG-GNP nanocomposites paraboloidal and hyperboloidal shells based on multiscale approaches10.1016/j.ast.2021.107111 ↗
25. A comprehensive shell approach for vibration of porous nano-enriched polymer composite coupled spheroidal-cylindrical shells10.1016/j.compstruct.2022.115464 ↗
26. Bending analysis of functionally graded CNT reinforced doubly curved singly ruled truncated rhombic cone10.1080/15397734.2018.1519635 ↗
27. Investigation of porosity effect on flexural analysis of doubly curved FGM conoids10.1515/secm-2019-0026 ↗
28. Buckling analyses of FG porous nanocomposite cylindrical shells with graphene platelet reinforcement subjected to uniform external lateral pressure10.1080/15397734.2019.1704777 ↗
29. Torsional buckling analyses of functionally graded porous nanocomposite cylindrical shells reinforced with graphene platelets (GPLs)10.1080/15397734.2019.1666723 ↗
30. Buckling of spinning functionally graded graphene reinforced porous nanocomposite cylindrical shells: An analytical study10.1016/j.ast.2018.09.037 ↗
31. Three-dimensional static and free vibration analysis of graphene platelet–reinforced porous composite cylindrical shell10.1177/1077546320902340 ↗
32. Buckling analyses of functionally graded graphene reinforced porous cylindrical shell using the Rayleigh–Ritz method10.1007/s00707-020-02616-8 ↗
33. Investigation of Droplet Impinging on a Heated Porous Surface under Various Working Conditions, A Mathematical Modeling10.1142/S1758825121500150 ↗
34. Parametric study of three-dimensional bending and frequency of FG-GPLRC porous circular and annular plates on different boundary conditions10.1080/15397734.2019.1701491 ↗
35. Probabilistic stability analysis of functionally graded graphene reinforced porous beams10.1016/j.ast.2020.105738 ↗
36. Vibration analysis of FG porous rectangular plates reinforced by graphene platelets
37. Dynamic instability of functionally graded porous arches reinforced by graphene platelets10.1016/j.tws.2019.106491 ↗
38. A novel computational approach to functionally graded porous plates with graphene platelets reinforcement10.1016/j.tws.2020.106684 ↗
39. A three-variable high order shear deformation theory for isogeometric free vibration, buckling and instability analysis of FG porous plates reinforced by graphene platelets10.1016/j.compstruct.2020.112321 ↗
40. On vibration and stability analysis of porous plates reinforced by graphene platelets under aerodynamical loading10.1016/j.compositesb.2019.01.074 ↗
41. Natural frequency and dynamic analyses of functionally graded saturated porous annular sector plate and cylindrical panel based on 3D elasticity10.1016/j.ast.2019.105524 ↗
42. Accurate nonlinear buckling analysis of functionally graded porous graphene platelet reinforced composite cylindrical shells10.1016/j.ijmecsci.2018.12.012 ↗
43. Asemi, K., Babaei, M., and Kiarasi, F. (2020). Static, natural frequency and dynamic analyses of functionally graded porous annular sector plates reinforced by graphene platelets. Mech. Based Des. Struct. Mach., 1–29.10.1080/15397734.2020.1822865 ↗
44. Stability analysis of multifunctional smart sandwich plates with graphene nanocomposite and porous layers10.1016/j.ijmecsci.2019.105283 ↗
45. Isogeometric Analysis of Functionally-Graded Graphene Platelets Reinforced Porous Nanocomposite Plates Using a Refined Plate Theory10.1142/S0219455420500765 ↗
46. Wave propagation in functionally graded porous plates reinforced with graphene platelets10.1016/j.ast.2020.105860 ↗
47. Thermal buckling and forced vibration characteristics of a porous GNP reinforced nanocomposite cylindrical shell10.1007/s00542-019-04542-9 ↗
48. Thermo-mechanical vibration of FG curved nanobeam containing porosities and reinforced by graphene platelets10.1007/s00542-020-04794-w ↗
49. Thermoelastic analysis of rotating multilayer FG-GPLRC truncated conical shells based on a coupled TDQM-NURBS scheme10.1016/j.compstruct.2019.111707 ↗
50. Stress analysis of rotating thick truncated conical shells with variable thickness under mechanical and thermal loads
51. Nonlinear thermomechanical vibration mitigation analysis in rotating fractional-order viscoelastic bidirectional FG annular disks under nonuniform shocks10.1080/01495739.2020.1748555 ↗
52. Hygro-thermo-elastic nonlinear analysis of functionally graded porous composite thin and moderately thick shallow panels10.1080/15376494.2020.1780524 ↗
53. Thermal stresses in a functionally graded rotating disk: An approximate closed form solution10.1080/01495739.2020.1843377 ↗
54. Vibration and critical speed of orthogonally stiffened rotating FG cylindrical shell under thermo-mechanical loads using differential quadrature method10.1080/01495739.2013.764807 ↗
55. 3D thermoelastic analysis of rotating disks having arbitrary profile based on a variable kinematic 1D finite element method10.1080/01495739.2016.1207119 ↗
56. On the behavior of a rotating functionally graded hybrid cylindrical shell with imperfect bonding subjected to hygrothermal condition10.1080/01495739.2015.1038487 ↗
57. On the critical speed evaluation of arbitrarily oriented rotating doubly-curved shells made of functionally graded materials10.1016/j.tws.2019.03.018 ↗
58. Design functionally graded rotating disks under thermoelastic loads: Weight optimization10.1016/j.ijpvp.2018.02.002 ↗
59. Transient thermal stresses in functionally graded thick truncated cones by graded finite element method10.1016/j.ijpvp.2014.03.002 ↗
60. A review on functionally graded porous structures reinforced by graphene platelets
61. Dynamic analysis of functionally graded rotating thick truncated cone made of saturated porous materials10.1016/j.tws.2021.107852 ↗
62. The mechanics of three-dimensional cellular materials
63. Ashby, M.F., Evans, T., Fleck, N.A., Hutchinson, J., Wadley, H., and Gibson, L. (2000). Metal Foams: A Design Guide, Butterworth-Heinemann.10.1115/1.1421119 ↗
64. Babaei, M., Kiarasi, F., Hossaeini Marashi, S.M., Ebadati, M., Masoumi, F., and Asemi, K. (2021). Stress wave propagation and natural frequency analysis of functionally graded graphene platelet-reinforced porous joined conical–cylindrical–conical shell. Waves Random Complex Media, 1–33.10.1080/17455030.2021.2003478 ↗
65. Free vibration analysis of FG porous joined truncated conical-cylindrical shell reinforced by graphene platelets
66. Nonlinear vibration of functionally graded graphene-reinforced composite laminated beams resting on elastic foundations in thermal environments10.1007/s11071-017-3701-0 ↗
67. Kiarasi, F., Babaei, M., Asemi, K., Dimitri, R., and Tornabene, F. (2021). Three-Dimensional Buckling Analysis of Functionally Graded Saturated Porous Rectangular Plates under Combined Loading Conditions. Appl. Sci., 11.10.3390/app112110434 ↗
68. Elastic solution of a two-dimensional functionally graded thick truncated cone with finite length under hydrostatic combined loads10.1007/s00707-010-0380-z ↗
69. Zienkiewicz, O.C., Taylor, R.L., and Zhu, J.Z. (2005). The Finite Element Method: Its Basis and Fundamental, Elsevier.10.1016/B978-075066431-8.50196-X ↗
70. Thomas, J.W. (1995). Numerical Partial Differential Equations: Finite Difference Methods, Springer Science & Business Media LLC.10.1007/978-1-4899-7278-1 ↗