Surface effects on scale-dependent vibration behavior of flexoelectric sandwich nanobeams |
Ebrahimi, Farzad
(Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University)
Karimiasl, Mahsa (Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University) Civalek, Omer (Akdeniz University, Engineering Faculty, Civil Engineering Dept., Division of Mechanics) Vinyas, Mahesh (Department of Mechanical Engineering, Nitte Meenakshi Institute of Technology) |
1 | Ansari, R. and Sahmani, S. (2011), "Bending behavior and buckling of nanobeams including surface stress effects to different beam theories", Int. J. Eng. Sci., 49, 1244-1255. DOI |
2 | Ansari, R., Oskouie, M.F., Gholami, R. and Sadeghi, F. (2016), "Thermo-electro-mechanical vibration of postbuckled piezoelectric Timoshenko nanobeams based on the nonlocal elasticity theory", Compos. Part B: Eng., 89, 316-327. DOI |
3 | Arefi, M. and Zenkour, A.M. (2016), "Nonlocal electro-thermomechanical analysis of a sandwich nanoplate containing a kelvin-voigt viscoelastic nanoplate and two piezoelectric layers", Acta Mechanica, 228(2), 475-493. DOI |
4 | Asemi, H.R., Asemi, S.R., Farajpour, A. and Mohammadi, M. (2015), "Nanoscale mass detection based on vibrating piezoelectric ultrathin films under thermo-electro-mechanical loads", Physica E: Low-dimens. Syst. Nanostruct., 68, 112-122. DOI |
5 | Barati, M.R. (2017), "Nonlocal-strain gradient forced vibration analysis of metal foam nanoplates with uniform and graded porosities", Adv. Nano Res., Int. J., 5(4), 393-414. DOI |
6 | Belkorissat, I., Houari, M.S.A., Tounsi, A., Bedia, E.A. and Mahmoud, S.R. (2015), "On vibration properties of functionally graded nano-plate using a new nonlocal refined four variable model", Steel Compos. Struct., Int. J., 18(4), 1063-1081. DOI |
7 | Besseghier, A., Heireche, H., Bousahla, A.A., Tounsi, A. and Benzair, A. (2015), Nonlinear vibration properties of a zigzag single-walled carbon nanotube embedded in a polymer matrix", Adv. Nano Res., Int. J., 3(1), 29-37. DOI |
8 | Bouadi, A., Bousahla, A.A., Houari, M.S.A., Heireche, H. and Tounsi, A. (2018), "A new nonlocal HSDT for analysis of stability of single layer graphene sheet", Adv. Nano Res., Int. J., 6(2), 147-162. |
9 | Karami, B., Janghorban, M. and Tounsi, A. (2018b), "Variational approach for wave dispersion in anisotropic doubly-curved nanoshells based on a new nonlocal strain gradient higher order shell theory", Thin-Wall. Struct., 129, 251-264. DOI |
10 | Wang, W., Li, P., Jin, F. and Wang, J. (2016b), "Vibration analysis of piezoelectric ceramic circular nanoplates considering surface and nonlocal effects", Compos. Struct., 140, 758-775. DOI |
11 | Ke, L.-L. and Wang, Y.-S. (2012), "Thermoelectric-Mechanical Vibration of Piezoelectric Nanobeams Based on the Nonlocal Theory", Smart Mater. Struct., 121(1), 250-268. |
12 | Ke, L.L., Liu, C. and Wang, Y.S. (2015), "Free vibration of nonlocal piezoelectric nanoplates under various boundary conditions", Physica E: Low-dimens. Syst. Nanostruct., 66, 93-106. DOI |
13 | Khetir, H., Bouiadjra, M.B., Houari, M.S.A., Tounsi, A. and Mahmoud, S.R. (2017), "A new nonlocal trigonometric shear deformation theory for thermal buckling analysis of embedded nanosize FG plates", Struct. Eng. Mech., Int. J., 64(4), 391-402. |
14 | Lee, H.L. and Chang, W.J. (2010), "Surface effects on frequency analysis of nanotubes using nonlocal Timoshenko beam theory", J. Appl. Phys., 108(9), 093503. DOI |
15 | Li, L., Li, X. and Hu, Y. (2016), "Free vibration analysis of nonlocal strain gradient beams made of functionally graded material", Int. J. Eng. Sci., 102, 77-92. DOI |
16 | Liu, C., Ke, L.L., Wang, Y.S., Yang, J. and Kitipornchai, S. (2013), "Thermo-electro-mechanical vibration of piezoelectric nanoplates based on the nonlocal theory", Compos. Struct., 106, 167-174. DOI |
17 | Liu, C., Ke, L.L., Wang, Y.S., Yang, J. and Kitipornchai, S. (2014), "Buckling and post-buckling of size- dependent piezoelectric Timoshenko nanobeams subject to thermo-electro-mechanical loadings", Int. J. Struct. Stabil. Dyn., 14(3), 1350067. DOI |
18 | Yan, Z. and Jiang, L.Y. (2012), "Vibration and buckling analysis of a piezoelectric nanoplate considering surface effects and inplane constraints", Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, The Royal Society, (p. rspa20120214). |
19 | Xu, M. (2006), "Free transverse vibrations of nano-to-micron scale beams", Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, 462(2074), pp. 2977-2995. DOI |
20 | Yan, Z. and Jiang, L. (2011), "The Vibrational and Buckling Behaviors of Piezoelectric Nanobeams with Surface Effects", Nanotechnology, 22(1), 245-263. |
21 | Youcef, D.O., Kaci, A., Houari, M.S.A., Tounsi, A., Benzair, A. and Heireche, H. (2015), "On the bending and stability of nanowire using various HSDTs", Adv. Nano Res., Int. J., 3(4), 177-191. DOI |
22 | Zhang, Z. and Jiang, L. (2014), "Size effects on electromechanical coupling fields of a bending piezoelectric nanoplate due to surface effects and flexoelectricity", J. Appl. Phys., 116(13), 134308. DOI |
23 | Zine, A., Tounsi, A., Draiche, K., Sekkal, M. and Mahmoud, S.R. (2018), "A novel higher-order shear deformation theory for bending and free vibration analysis of isotropic and multilayered plates and shells", Steel Compos. Struct., Int. J., 26(2), 125-137. |
24 | Akbas, S.D. (2018), "Forced vibration analysis of cracked functionally graded microbeams", Adv. Nano Res., Int. J., 6(1), 39-55. |
25 | Castrucci, P. (2014), "Carbon nanotube/silicon hybrid heterojunctions for photovoltaic devices", Adv. Nano Res., Int. J., 2(1), 23-56. DOI |
26 | Chemi, A., Heireche, H., Zidour, M., Rakrak, K. and Bousahla, A. A. (2015), "Critical buckling load of chiral double-walled carbon nanotube using non-local theory elasticity", Adv. Nano Res., Int. J., 3(4), 193-206. DOI |
27 | Liu, C., Ke, L.L., Wang, Y.S. and Yang, J. (2015), "Nonlinear vibration of nonlocal piezoelectric nanoplates", Int. J. Struct. Stabil. Dyn., 15(8), 1540013. DOI |
28 | Daneshmehr, A., Rajabpoor, A. and Hadi, A. (2015), "Size dependent free vibration analysis of nanoplates made of functionally graded materials based on nonlocal elasticity theory with high order theories", Int. J. Eng. Sci., 95, 23-35. DOI |
29 | Ebrahimi, F. and Barati, M.R. (2016a), "A nonlocal higher-order shear deformation beam theory for vibration analysis of sizedependent functionally graded nanobeams", Arab. J. Sci. Eng., 41(5), 1679-1690. DOI |
30 | Ebrahimi, F. and Barati, M.R. (2016b), "Small scale effects on hygro-thermo-mechanical vibration of temperature dependent nonhomogeneous nanoscale beams", Mech. Adv. Mater. Struct., 24(11), 924-936. DOI |
31 | Altabey, W.A. (2017), "An exact solution for mechanical behavior of BFRP Nano-thin films embedded in NEMS", Adv. Nano Res., Int. J., 5(4), 337-357. |
32 | Ebrahimi, F. and Barati, M.R. (2016c), "Dynamic modeling of a thermo-piezo-electrically actuated nanosize beam subjected to a magnetic field", Appl. Phys. A, 122(4), 1-18. |
33 | Ebrahimi, F. and Barati, M.R. (2016d), "Buckling analysis of smart size-dependent higher order magneto-electro-thermoelastic functionally graded nanosize beams", J. Mech., 33(1), 23-33. DOI |
34 | Ebrahimi, F. and Boreiry, M. (2015), "Investigating various surface effects on nonlocal vibrational behavior of nanobeams", Appl. Phys. A, 121(3), 1305-1316. DOI |
35 | Reddy, J.N. (2010), "Nonlocal nonlinear formulations for bending of classical and shear deformation theories of beams and plates", Int. J. Eng. Sci., 48(11), 1507-1518. DOI |
36 | Marani, R. and Perri, A.G. (2017), "An approach to model the temperature effects on IV characteristics of CNTFETs", Adv. Nano Res., Int. J., 5(1), 61-67. DOI |
37 | Murmu, T. and Pradhan, S.C. (2009), "Small-scale effect on the vibration of nonuniform nan cantilever based on nonlocal elasticity theory", Physica E: Low-dimens. Syst. Nanostruct., 41(8), 1451-1456. DOI |
38 | Reddy, J.N. (2007), "Nonlocal theories for bending, buckling and vibration of beams", Int. J. Eng. Sci., 45(2), 288-307. DOI |
39 | Reddy, J.N. and El-Borgi, S. (2014), "Eringen's nonlocal theories of beams accounting for moderate rotations", Int. J. Eng. Sci., 82, 159-177. DOI |
40 | Reddy, J.N. and Pang, S.D. (2008), "Nonlocal continuum theories of beams for the analysis of carbon nanotubes", J. Appl. Phys., 103(2), 023511. DOI |
41 | Stelson, K.A. (2018), "Academic fluid power research in the USA", Int. J. Hydromechatronics, 1(1), 126-152. |
42 | Tian, T., Nakano, M. and Li, W. (2018), Applications of shear thickening fluids: a review", Int. J. Hydromechatronics, 1(2), 238-257. DOI |
43 | Tounsi, A., Benguediab, S., Adda, B., Semmah, A. and Zidour, M. (2013), "Nonlocal effects on thermal buckling properties of double-walled carbon nanotubes", Adv. Nano Res., Int. J., 1(1), 1-11. DOI |
44 | Elishakoff, I. and Soret, C. (2013), "A consistent set of nonlocal Bresse-Timoshenko equations for nanobeams with surface effects", J. Appl. Mech., 80(6), 061001. DOI |
45 | Wang, K.F. and Wang, B.L. (2011), "vibration of nanoscale plates with surface energy via nonlocal elasticity", Physica E: Lowdimens. Syst. Nanostruct., 44(2), 448-453. DOI |
46 | Wang, Y.Z., Li, F.M. and Kishimoto, K. (2016a), "Effects of Axial Load and Elastic Matrix on Flexural Wave Propagation in Nanotube with Nonlocal Timoshenko Beam Model", J. Vib. Acoust., 134(3), 031011. DOI |
47 | Ebrahimi, F., Barati, M.R. and Dabbagh, A. (2016a), "A nonlocal strain gradient theory for wave propagation analysis in temperature-dependent inhomogeneous nanoplates", Int. J. Eng. Sci., 107, 169-182. DOI |
48 | Ebrahimi, F., Shaghaghi, G.R. and Boreiry, M. (2016b), "An investigation into the influence of thermal loading and surface effects on mechanical characteristics of nanotubes", Struct. Eng. Mech., Int. J., 57(1), 179-200. DOI |
49 | Ehyaei, J. and Daman, M. (2017), "Free vibration analysis of double walled carbon nanotubes embedded in an elastic medium with initial imperfection", Adv. Nano Res., Int. J., 5(2), 179-192. |
50 | Ehyaei, J., Ebrahimi, F. and Salari, E. (2016), "Nonlocal vibration analysis of FG nano beams with different boundary conditions", Adv. Nano Res., Int. J., 4(2), 85-111. |
51 | Eringen, A. (1968), "Mechanics of micromorphic continua", In: (E. Kroner Ed.), Mechanics of Generalized Continua, Springer-Verlag, pp. 18-35. |
52 | Eringen, A. (1976), "Nonlocal micropolar field theory", In: Continuum Physics, (A.C. Eringen Ed.), Academic Press, New York, NY, USA. |
53 | Eringen, A. (2002), Nonlocal Continuum Field Theories, Springer, New York, NY, USA. |
54 | Eringen, A. (2006), "Nonlocal continuum mechanics based on distributions", Int. J. Eng. Sci., 44(3), 141-147. DOI |
55 | Eringen, A. and Edelen, D. (1972), "On nonlocal elasticity", Int. J. Eng. Sci., 10, 233-248. DOI |
56 | Ehyaei, J., Akbarshahi, A. and Shafiei, N. (2017), "Influence of porosity and axial preload on vibration behavior of rotating FG nanobeam", Adv. Nano Res., Int. J., 5(2), 141-169. |
57 | Gurtin, M.E. and Murdoch, A.I. (1975), "A continuum theory of elastic material surfaces", Arch. Rational Mech. Anal., 57(4), 291-323. DOI |
58 | Elmerabet, A.H., Heireche, H., Tounsi, A. and Semmah, A. (2017), "Buckling temperature of a single-walled boron nitride nanotubes using a novel nonlocal beam model", Adv. Nano Res., Int. J., 5(1), 1-12. |
59 | Fernandez-Saez, J., Zaera, R., Loya, J.A. and Reddy, J.N. (2016), "Bending of Euler-Bernoulli beams using Eringen's integral formulation: a paradox resolved", Int. J. Eng. Sci., 99, 107-116. DOI |
60 | Gheshlaghi, B. and Hasheminejad, S. (2012), "Vibration analysis of piezoelectric nanowires with surface and small scale effects", Current Appl. Phys., 12(4), 1096-1099. DOI |
61 | Hosseini, M., Jamalpoor, A. and Fath, A. (2016), "Surface effect on the biaxial buckling and free vibration of FGM nanoplate embedded in visco-Pasternak standard linear solid-type of foundation", Meccanica, 52(6), 1381-1396. DOI |
62 | Hebali, H., Tounsi, A., Houari, M.S.A., Bessaim, A. and Bedia, E.A.A. (2014), "A new quasi-3D hyperbolic shear deformation theory for the static and free vibration analysis of functionally graded plates", ASCE J. Eng. Mech., 140, 374-383. DOI |
63 | Jamalpoor, A., Ahmadi-Savadkoohi, A., Hossein, M. and Hosseini-Hashemi, S. (2016), "Free vibration and biaxial buckling analysis of double magneto-electro-elastic nanoplate-systems coupled by a visco Pasternak medium via nonlocal elasticity theory", Eur. J. Mech. / A Solids, 63, 84-98. DOI |
64 | Kaci, A., Houari, M.S.A., Bousahla, A.A., Tounsi, A. and Mahmoud, S.R. (2018), "Post-buckling analysis of sheardeformable composite beams using a novel simple twounknown beam theory", Struct. Eng. Mech., Int. J., 65(5), 621-631. |
65 | Karami, B., Janghorban, M., Shahsavari, D. and Tounsi, A. (2018a), "A size-dependent quasi-3D model for wave dispersion analysis of FG nanoplates", Steel Compos. Struct., Int. J., 28(1), 99-110. |