Thermo-electro-magneto-mechanical vibration analysis of sandwich plates with graphene oxide powder reinforced composite core and magneto-electro-elastic face sheets resting on Kerr foundation
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OpenAlex topics: Composite Structure Analysis and Optimization · Aeroelasticity and Vibration Control · Nonlocal and gradient elasticity in micro/nano structures
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References (74)
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1. Bolotin, K.I., Sikes, K., Jiang, Z., Klima, M., Fudenberg, G., Hone, J., et al.: Ultrahigh electron mobility in suspended graphene. Solid State Commun. 146(9–10), 351–355 (2008)10.1016/j.ssc.2008.02.024 ↗
2. Kysar, J.W.: Direct comparison between experiments and computations at the atomic length scale: a case study of graphene. In: Scientific Modeling and Simulations, pp. 143–157. Springer, Cham (2009)
3. Seol, J.H., Jo, I., Moore, A.L., Lindsay, L., Aitken, Z.H., Pettes, M.T., et al.: Two-dimensional phonon transport in supported graphene. Science 328(5975), 213–216 (2010)10.1126/science.1184014 ↗
4. Nair, R.R., Blake, P., Grigorenko, A.N., Novoselov, K.S., Booth, T.J., Stauber, T., et al.: Fine structure constant defines visual transparency of graphene. Science 320(5881), 1308 (2008)10.1126/science.1156965 ↗
5. Gonçalves, G., Marques, P.A., Barros-Timmons, A., Bdkin, I., Singh, M.K., Emami, N., et al.: Graphene oxide modified with PMMA via ATRP as a reinforcement filler. J. Mater. Chem. 20(44), 9927–9934 (2010)10.1039/c0jm01674h ↗
6. Zhang, Z., Li, Y., Wu, H., Zhang, H., Wu, H., Jiang, S., et al.: Mechanical analysis of functionally graded graphene oxide-reinforced composite beams based on the first-order shear deformation theory. Mech. Adv. Mater. Struct. 27(1), 3–11 (2020)10.1080/15376494.2018.1444216 ↗
7. Ebrahimi, F., Nouraei, M., Dabbagh, A.: Thermal vibration analysis of embedded graphene oxide powder-reinforced nanocomposite plates. Eng. Comput. 36, 879–895 (2020a)10.1007/s00366-019-00737-w ↗
8. Ebrahimi, F., Nouraei, M., Seyfi, A.: Wave dispersion characteristics of thermally excited graphene oxide powder-reinforced nanocomposite plates. Waves Random Complex Media 32(1), 204–232 (2022)10.1080/17455030.2020.1767829 ↗
9. Ebrahimi, F., Nouraei, M., Dabbagh, A.: Modeling vibration behavior of embedded graphene-oxide powder-reinforced nanocomposite plates in thermal environment. Mech. Based des. Struct. Mach. 48(2), 217–240 (2020b)10.1080/15397734.2019.1660185 ↗
10. Ebrahimi, F., Nouraei, M., Dabbagh, A., Rabczuk, T.: Thermal buckling analysis of embedded graphene-oxide powder-reinforced nanocomposite plates. Adv Nano Res. 7(5), 293–310 (2019)
11. Ebrahimi, F., Nouraei, M., Dabbagh, A., mer Civalek, Ö.: Buckling analysis of graphene oxide powder-reinforced nanocomposite beams subjected to non-uniform magnetic field. Struct. Eng. Mech. Int. J. 71(4), 351–361 (2019)
12. Sobhani, E., Safaei, B.: Vibrational features of graphene oxide powder nanocomposite coupled conical-cylindrical shells applicable for aerospace structures under various boundary conditions. Eng. Anal. Boundary Elem. 151, 423–438 (2023)10.1016/j.enganabound.2023.03.020 ↗
13. Liu, H., Sahmani, S., Safaei, B.: Nonlinear buckling mode transition analysis in nonlocal couple stress-based stability of FG piezoelectric nanoshells under thermo-electromechanical load. Mech. Adv. Mater. Struct. 30(16), 3385–3405 (2023)10.1080/15376494.2022.2073620 ↗
14. Tabak, A., Safaei, B., Memarzadeh, A., Arman, S., Kizilors, C.: An extensive review of piezoelectric energy-harvesting structures utilizing auxetic materials. J. Vib. Eng. Technol. 12(3), 3155–3192 (2024)10.1007/s42417-023-01038-9 ↗
15. Van den Boomgaard, J., Terrell, D., Born, R., Giller, H.: An in situ grown eutectic magnetoelectric composite material: part I Composition and unidirectional solidification. J. Mater. Sci. 9, 1705–1709 (1974)10.1007/BF00540770 ↗
16. Salih, A., Elmoghazy, Y.H., Razavi, S., Sahmani, S., Kolamroudi, M.K., Safaei, B.: Vibration analysis of advanced light-weight piezo-beam energy harvesters under thermal environments. Int. J. Struct. Stab. Dyn. (2025). https://doi.org/10.1142/S021945542650177410.1142/S0219455426501774 ↗
17. Shahzad, M.A., Sahmani, S., Safaei, B.: Nonlocal couple stress-based exponential shear flexible plate model to study nonlinear feedback of impulsive excited multilayer energy microharvesters. J. Vib. Eng. Technol. 13(2), 1–22 (2025)10.1007/s42417-024-01653-0 ↗
18. Shahzad, M.A., Sahmani, S., Safaei, B., Basingab, M.S., Hameed, A.Z.: On the role of surface stress tensor in the nonlinear response of time-dependent mechanical actuated nanoplate-type energy piezo-harvesters. Mech. Adv. Mater. Struct. 31(26), 8113–8135 (2024a)10.1080/15376494.2023.2254757 ↗
19. Sahmani, S., Safaei, B., Fan, F.: Nonlinear dynamical response of sinusoidal impulsive actuated piezoelectric/porous sandwich nanoharvesters via GM-based meshfree collocation formulations. Comput. Struct. 299, 107389 (2024a)10.1016/j.compstruc.2024.107389 ↗
20. Shahzad, M.A., Sahmani, S., Safaei, B., Basingab, M.S., Hameed, A.Z.: Nonlocal strain gradient-based meshless collocation model for nonlinear dynamics of time-dependent actuated beam-type energy harvesters at nanoscale. Mech. Based des. Struct. Mach. 52(7), 3974–4008 (2024b)10.1080/15397734.2023.2215852 ↗
21. Fan, F., Sahmani, S., Safaei, B.: On the roles of strain gradient tensors in quasi-3D nonlinear dynamics of microplate-type piezoelectric systems of energy harvesting under triangular mechanical actuation. Polym. Compos. 45(8), 7256–7283 (2024)10.1002/pc.28264 ↗
22. Alshenawy, R., Sahmani, S., Safaei, B., Elmoghazy, Y., Al-Alwan, A., Al, N.M.: Surface stress effect on nonlinear dynamical performance of nanobeam-type piezoelectric energy harvesters via meshless collocation technique. Eng. Anal. Boundary Elem. 152, 104–119 (2023a)10.1016/j.enganabound.2023.04.003 ↗
23. Liu, M.-F.: An exact deformation analysis for the magneto-electro-elastic fiber-reinforced thin plate. Appl. Math. Model. 35(5), 2443–2461 (2011)10.1016/j.apm.2010.11.044 ↗
24. Li, Y., Zhang, J.: Free vibration analysis of magnetoelectroelastic plate resting on a Pasternak foundation. Smart Mater. Struct. 23(2), 025002 (2013)10.1088/0964-1726/23/2/025002 ↗
25. Li, Z., Wang, Q., Qin, B., Zhong, R., Yu, H.: Vibration and acoustic radiation of magneto-electro-thermo-elastic functionally graded porous plates in the multi-physics fields. Int. J. Mech. Sci. 185, 105850 (2020)10.1016/j.ijmecsci.2020.105850 ↗
26. Shooshtari, A., Razavi, S.: Vibration analysis of a magnetoelectroelastic rectangular plate based on a higher-order shear deformation theory. Latin Am. J. Solids Struct. 13, 554–572 (2016)10.1590/1679-78251831 ↗
27. Vinyas, M., Kattimani, S.C.: Finite element evaluation of free vibration characteristics of magneto-electro-elastic rectangular plates in hygrothermal environment using higher-order shear deformation theory. Compos. Struct. 202, 1339–1352 (2018a)10.1016/j.compstruct.2018.06.069 ↗
28. Vinyas, M., Sunny, K., Harursampath, D., Nguyen-Thoi, T., Loja, M.: Influence of interphase on the multi-physics coupled frequency of three-phase smart magneto-electro-elastic composite plates. Compos. Struct. 226, 111254 (2019)10.1016/j.compstruct.2019.111254 ↗
29. Vinyas, M., Kattimani, S.C.: Investigation of the effect of BaTiO3/CoFe2O4 particle arrangement on the static response of magneto-electro-thermo-elastic plates. Compos. Struct. 185, 51–64 (2018b)10.1016/j.compstruct.2017.10.073 ↗
30. Ebrahimi, F., Barati, M.: Buckling analysis of smart size-dependent higher order magneto-electro-thermo-elastic functionally graded nanosize beams. J. Mech. 33(1), 23–33 (2017)10.1017/jmech.2016.46 ↗
31. Ansari, R., Gholami, R.: Size-dependent buckling and postbuckling analyses of first-order shear deformable magneto-electro-thermo elastic nanoplates based on the nonlocal elasticity theory. Int. J. Struct. Stab. Dyn. 17(01), 1750014 (2017)10.1142/S0219455417500146 ↗
32. Mohammadrezazadeh, S.: Vibration of MEE composite conical shell surrounded by nonlinear elastic foundation considering the effect of geometrical nonlinearity. Mech. Adv. Compos. Struct. 10(1), 85–102 (2023)
33. Ait Atmane, H., Tounsi, A., Bernard, F.: Effect of thickness stretching and porosity on mechanical response of a functionally graded beams resting on elastic foundations. Int. J. Mech. Mater. des. 13, 71–84 (2017)10.1007/s10999-015-9318-x ↗
34. Ebrahimi, F., Zia, M.: Large amplitude nonlinear vibration analysis of functionally graded Timoshenko beams with porosities. Acta Astronaut. 116, 117–125 (2015)10.1016/j.actaastro.2015.06.014 ↗
35. Barati, M.R., Shahverdi, H.: An analytical solution for thermal vibration of compositionally graded nanoplates with arbitrary boundary conditions based on physical neutral surface position. Mech. Adv. Mater. Struct. 24(10), 840–853 (2017)10.1080/15376494.2016.1196788 ↗
36. Sahmani, S., Rabczuk, T., Song, J.-H., Safaei, B.: Unified nonlocal surface elastic-based thermal induced asymmetric nonlinear buckling of inhomogeneous nano-arches subjected to dissimilar end conditions. Compos. Struct. 357, 118961 (2025)10.1016/j.compstruct.2025.118961 ↗
37. Sahmani, S., Safaei, B., Rabczuk, T.: On the role of surface elasticity in nonlinear planar stability of FG porous reinforced nanosize curved beams having different degrees of curvature. Eur. J. Mech. a. Solids 107, 105384 (2024b)10.1016/j.euromechsol.2024.105384 ↗
38. Ebrahimi, F., Jafari, A., Barati, M.R.: Vibration analysis of magneto-electro-elastic heterogeneous porous material plates resting on elastic foundations. Thin-Walled Struct. 119, 33–46 (2017)10.1016/j.tws.2017.04.002 ↗
39. Barati, M.R., Zenkour, A.M.: Electro-thermoelastic vibration of plates made of porous functionally graded piezoelectric materials under various boundary conditions. J. Vib. Control 24(10), 1910–1926 (2018)10.1177/1077546316672788 ↗
40. Li, Q., Iu, V., Kou, K.: Three-dimensional vibration analysis of functionally graded material sandwich plates. J. Sound Vib. 311(1–2), 498–515 (2008)10.1016/j.jsv.2007.09.018 ↗
41. Safaei, B.: Frequency-dependent damped vibrations of multifunctional foam plates sandwiched and integrated by composite faces. Eur. Phys. J. plus 136(6), 1–16 (2021)10.1140/epjp/s13360-021-01632-4 ↗
42. Garg, A., Belarbi, M.-O., Chalak, H., Chakrabarti, A.: A review of the analysis of sandwich FGM structures. Compos. Struct. 258, 113427 (2021)10.1016/j.compstruct.2020.113427 ↗
43. Ebrahimi, F., Farazmandnia, N., Kokaba, M.R., Mahesh, V.: Vibration analysis of porous magneto-electro-elastically actuated carbon nanotube-reinforced composite sandwich plate based on a refined plate theory. Eng. Comput. 37, 921–936 (2021)10.1007/s00366-019-00864-4 ↗
44. Majidi-Mozafari, K., Bahaadini, R., Saidi, A.R., Khodabakhsh, R.: An analytical solution for vibration analysis of sandwich plates reinforced with graphene nanoplatelets. Eng. Comput. 38, 1–17 (2022)10.1007/s00366-020-01183-9 ↗
45. Arefi, M., Amabili, M.: A comprehensive electro-magneto-elastic buckling and bending analyses of three-layered doubly curved nanoshell, based on nonlocal three-dimensional theory. Compos. Struct. 257, 113100 (2021)10.1016/j.compstruct.2020.113100 ↗
46. Żur, K.K., Arefi, M., Kim, J., Reddy, J.N.: Free vibration and buckling analyses of magneto-electro-elastic FGM nanoplates based on nonlocal modified higher-order sinusoidal shear deformation theory. Compos. B Eng. 182, 107601 (2020)10.1016/j.compositesb.2019.107601 ↗
47. Hu, K., Zou, Y., Shi, L.: The assessment of electric voltage influence on vibrational behavior of intelligent sandwich plates with GO-reinforced metal foam core and piezoelectric actuator face sheets. Mech. Adv. Mater. Struct. 31, 1–16 (2024)10.1080/15376494.2024.2404180 ↗
48. Winkler, E.: Die Lehre von der Elasticitaet und Festigkeit: Mit Besonderer Rücksicht auf ihre Anwendung in der Technik, für Polytechnische Schulen, Bauakademien, Ingenieure, Maschinenbauer, Architecten, etc. H. Dominicus, Prague (1867)
49. Pasternak, P.: On a New Method of Analysis of an Elastic Foundation by Means of Two Foundation Constants. Gosudarstvennoe Izdatelstro Liberaturi po Stroitelstvui Arkhitekture, Moscow (1954)
50. Kerr, A.D.: A study of a new foundation model. Acta Mech. 1(2), 135–147 (1965)10.1007/BF01174308 ↗
51. Shahsavari, D., Shahsavari, M., Li, L., Karami, B.: A novel quasi-3D hyperbolic theory for free vibration of FG plates with porosities resting on Winkler/Pasternak/Kerr foundation. Aerosp. Sci. Technol. 72, 134–149 (2018)10.1016/j.ast.2017.11.004 ↗
52. Kumar, P., Harsha, S.: Static analysis of porous core functionally graded piezoelectric (PCFGP) sandwich plate resting on the Winkler/Pasternak/Kerr foundation under thermo-electric effect. Mater. Today Commun.. 32, 103929 (2022)10.1016/j.mtcomm.2022.103929 ↗
53. Li, M., Soares, C.G., Yan, R.: Free vibration analysis of FGM plates on Winkler/Pasternak/Kerr foundation by using a simple quasi-3D HSDT. Compos. Struct. 264, 113643 (2021)10.1016/j.compstruct.2021.113643 ↗
54. Gao, X.-Y., Wang, Z.-Z., Ma, L.-S.: Thermal vibration analysis of functionally graded porous plates reinforced by graphene platelets supported by arbitrarily distributed Kerr foundations under a nonlinear temperature profile. J. Vib. Eng. Technol. 12, 1–21 (2024)10.1007/s42417-024-01323-1 ↗
55. Shou, H., Hoang, V.N.V., Shi, P.: Thermal vibration analysis of bi-directionally stepped porous functionally graded plates with segment-specific material property variation supported by Kerr foundation. Thin-Walled Struct. 204, 112239 (2024)10.1016/j.tws.2024.112239 ↗
56. Zenkour, A.M., El-Shahrany, H.D.: Hygrothermal vibration control of cross-ply magneto-viscoelastic beams resting on Kerr’s foundations. J. Eng. Math. 140(1), 2 (2023)10.1007/s10665-023-10263-w ↗
57. Liew, K., Lam, K.: Application of two-dimensional orthogonal plate function to flexural vibration of skew plates. J. Sound Vib. 139(2), 241–252 (1990)10.1016/0022-460X(90)90885-4 ↗
58. Liew, K., Lam, K.: A Rayleigh–Ritz approach to transverse vibration of isotropic and anisotropic trapezoidal plates using orthogonal plate functions. Int. J. Solids Struct. 27(2), 189–203 (1991)10.1016/0020-7683(91)90228-8 ↗
59. Chowdhury, A.R., Wang, C.: Bending, buckling, and vibration of equilateral simply supported or clamped triangular plates with rounded corners. J. Eng. Mech. 142(10), 04016074 (2016)
60. Wu, L., Lu, Y.: Free vibration analysis of rectangular plates with internal columns and uniform elastic edge supports by pb-2 Ritz method. Int. J. Mech. Sci. 53(7), 494–504 (2011)10.1016/j.ijmecsci.2011.04.006 ↗
61. Tran, H.-Q., Vu, V.-T., Tran, M.-T.: Free vibration analysis of piezoelectric functionally graded porous plates with graphene platelets reinforcement by pb-2 Ritz method. Compos. Struct. 305, 116535 (2023)10.1016/j.compstruct.2022.116535 ↗
62. Vu, V.-T., Tran, H.-Q.: Free vibration characteristics of stiffened sandwich plates with auxetic core and functionally graded piezoelectric face sheet. Acta Mech. 235, 1–28 (2024)10.1007/s00707-024-03932-z ↗
63. Fan, L., Sahmani, S., Safaei, B.: Couple stress-based dynamic stability analysis of functionally graded composite truncated conical microshells with magnetostrictive facesheets embedded within nonlinear viscoelastic foundations. Eng. Comput. 37, 1635–1655 (2021)10.1007/s00366-020-01182-w ↗
64. Sahmani, S., Aghdam, M.: Thermo-electro-radial coupling nonlinear instability of piezoelectric shear deformable nanoshells via nonlocal elasticity theory. Microsyst. Technol. 24, 1333–1346 (2018)10.1007/s00542-017-3512-8 ↗
65. Mohammadi, V., Ansari, R., Faghih Shojaei, M., Gholami, R., Sahmani, S.: Size-dependent dynamic pull-in instability of hydrostatically and electrostatically actuated circular microplates. Nonlinear Dyn. 73, 1515–1526 (2013)10.1007/s11071-013-0882-z ↗
66. Shahzad, M.A., Sahmani, S., Safaei, B.: Nonlocal couple stress-based meshless collocation model for nonlinear dynamic performance of microbeam-type piezoelectric energy harvesters. Eur. J. Mech. a. Solids 101, 105059 (2023)10.1016/j.euromechsol.2023.105059 ↗
67. Alshenawy, R., Sahmani, S., Safaei, B., Elmoghazy, Y., Al-Alwan, A., Al, N.M.: Three-dimensional nonlinear stability analysis of axial-thermal-electrical loaded FG piezoelectric microshells via MKM strain gradient formulations. Appl. Math. Comput. 439, 127623 (2023b)
68. Alshenawy, R., Safaei, B., Sahmani, S., Elmoghazy, Y., Al-Alwan, A., Al, N.M.: Buckling mode transition in nonlinear strain gradient-based stability behavior of axial-thermal-electrical loaded FG piezoelectric cylindrical panels at microscale. Eng. Anal. Boundary Elem. 141, 36–64 (2022)10.1016/j.enganabound.2022.04.010 ↗
69. Doroushi, A., Eslami, M., Komeili, A.: Vibration analysis and transient response of an FGPM beam under thermo-electro-mechanical loads using higher-order shear deformation theory. J. Intell. Mater. Syst. Struct. 22(3), 231–243 (2011)10.1177/1045389X11398162 ↗
70. Wang, Q.: Axi-symmetric wave propagation in a cylinder coated with a piezoelectric layer. Int. J. Solids Struct. 39(11), 3023–3037 (2002)10.1016/S0020-7683(02)00233-0 ↗
71. Aktaş, K.G.: Three-dimensional thermomechanical wave propagation analysis of sandwich nanoplate with graphene-reinforced foam core and magneto-electro-elastic face layers using nonlocal strain gradient elasticity theory. Acta Mech. 235(9), 5587–5619 (2024)10.1007/s00707-024-04001-1 ↗
72. Chakraverty, S., Pradhan, K.: Free vibration of exponential functionally graded rectangular plates in thermal environment with general boundary conditions. Aerosp. Sci. Technol. 36, 132–156 (2014)10.1016/j.ast.2014.04.005 ↗
73. Liu, H., Liu, H., Yang, J.: Vibration of FG magneto-electro-viscoelastic porous nanobeams on visco-Pasternak foundation. Compos. B Eng. 155, 244–256 (2018)10.1016/j.compositesb.2018.08.042 ↗
74. Song, M., Kitipornchai, S., Yang, J.: Free and forced vibrations of functionally graded polymer composite plates reinforced with graphene nanoplatelets. Compos. Struct. 159, 579–588 (2017)10.1016/j.compstruct.2016.09.070 ↗