Analysis of propagation characteristics of elastic waves in heterogeneous nanobeams employing a new two-step porosity-dependent homogenization scheme |
Ebrahimi, Farzad
(Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University)
Dabbagh, Ali (Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University) Rabczuk, Timon (Institute of Structural Mechanics (ISM), Bauhaus-University Weimar) Tornabene, Francesco (Department of Civil, Chemical, Environmental, and Materials Engineering, University of Bologna) |
1 | Chen, D., Yang, J. and Kitipornchai, S. (2015), "Elastic buckling and static bending of shear deformable functionally graded porous beam", Compos. Struct., 133, 54-61. DOI |
2 | Chen, D., Kitipornchai, S. and Yang, J. (2016a), "Nonlinear free vibration of shear deformable sandwich beam with a functionally graded porous core", Thin-Wall. Struct., 107, 39-48. DOI |
3 | Chen, D., Yang, J. and Kitipornchai, S. (2016b), "Free and forced vibrations of shear deformable functionally graded porous beams", Int. J. Mech. Sci., 108, 14-22. DOI |
4 | Ebrahimi, F. (2013), "Analytical investigation on vibrations and dynamic response of functionally graded plate integrated with piezoelectric layers in thermal environment", Mech. Adv. Mater. Struct., 20(10), 854-870. DOI |
5 | Zenkour, A.M. (2018), "A quasi-3d refined theory for functionally graded single-layered and sandwich plates with porosities", Compos. Struct., 201, 38-48. DOI |
6 | Ebrahimi, F. and Barati, M.R. (2016), "Hygrothermal buckling analysis of magnetically actuated embedded higher order functionally graded nanoscale beams considering the neutral surface position", J. Thermal Stress., 39(10), 1210-1229. DOI |
7 | Ebrahimi, F. and Barati, M.R. (2018a), "Damping vibration behavior of visco-elastically coupled double-layered graphene sheets based on nonlocal strain gradient theory", Microsyst. Technol., 24(3), 1643-1658. DOI |
8 | Ebrahimi, F. and Barati, M.R. (2018b), "Effect of three-parameter viscoelastic medium on vibration behavior of temperaturedependent non-homogeneous viscoelastic nanobeams in a hygro-thermal environment", Mech. Adv. Mater. Struct., 25(5), 361-374. DOI |
9 | Gupta, A. and Talha, M. (2018), "Static and stability characteristics of geometrically imperfect fgm plates resting on pasternak elastic foundation with microstructural defect", Arab. J. Sci. Eng., 1-17. |
10 | Ghorbanpour Arani, A., Jamali, M., Ghorbanpour-Arani, A.H., Kolahchi, R. and Mosayyebi, M. (2017), "Electro-magneto wave propagation analysis of viscoelastic sandwich nanoplates considering surface effects", Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 231(2), 387-403. DOI |
11 | Hosseini, M., Hadi, A., Malekshahi, A. and Shishesaz, M. (2018), "A review of size-dependent elasticity for nanostructures", J. Computat. Appl. Mech., 49(1), 197-211. |
12 | Huang, Y. and Li, X.F. (2010), "A new approach for free vibration of axially functionally graded beams with non-uniform crosssection", J. Sound Vib., 329(11), 2291-2303. DOI |
13 | Jabbari, M., Hashemitaheri, M., Mojahedin, A. and Eslami, M.R. (2014), "Thermal buckling analysis of functionally graded thin circular plate made of saturated porous materials", J. Thermal Stresses, 37(2), 202-220. DOI |
14 | Jafarinezhad, M.R. and Eslami, M.R. (2017), "Coupled thermoelasticity of fgm annular plate under lateral thermal shock", Compos. Struct., 168, 758-771. DOI |
15 | Mahmoud, F.F., Eltaher, M.A., Alshorbagy, A.E. and Meletis, E.I. (2012), "Static analysis of nanobeams including surface effects by nonlocal finite element", J. Mech. Sci. Technol., 26(11), 3555-3563. DOI |
16 | 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 |
17 | Ebrahimi, F. and Dabbagh, A. (2019a), "On thermo-mechanical vibration analysis of multi-scale hybrid composite beams", J. Vib. Control, 25(4), 933-945. DOI |
18 | Ebrahimi, F. and Dabbagh, A. (2017), "Wave propagation analysis of smart rotating porous heterogeneous piezo-electric nanobeams", Eur. Phys. J. Plus, 132(4), p. 153. DOI |
19 | Ebrahimi, F. and Dabbagh, A. (2018a), "Effect of humid-thermal environment on wave dispersion characteristics of singlelayered graphene sheets", Appl Phys. A, 124(4), p. 301. DOI |
20 | Ebrahimi, F. and Dabbagh, A. (2018b), "Thermo-magnetic field effects on the wave propagation behavior of smart magnetostrictive sandwich nanoplates", Eur. Phys. J. Plus, 133(3), p. 97. DOI |
21 | Ebrahimi, F. and Dabbagh, A. (2019b), "Thermo-mechanical wave dispersion analysis of nonlocal strain gradient single-layered graphene sheet rested on elastic medium", Microsyst. Technol., 25(2), 587-597. DOI |
22 | Ebrahimi, F. and Haghi, P. (2018), "Wave dispersion analysis of rotating heterogeneous nanobeams in thermal environment", Adv. Nano Res., Int. J., 6(1), 21-37. DOI |
23 | Ebrahimi, F. and Heidari, E. (2017), "Surface effects on nonlinear vibration of embedded functionally graded nanoplates via higher order shear deformation plate theory", Mech. Adv. Mater. Struct., pp. 1-29. |
24 | Mojahedin, A., Jabbari, M., Khorshidvand, A.R. and Eslami, M.R. (2016), "Buckling analysis of functionally graded circular plates made of saturated porous materials based on higher order shear deformation theory", Thin-Wall. Struct., 99, 83-90. DOI |
25 | Natarajan, S., Chakraborty, S., Thangavel, M., Bordas, S. and Rabczuk, T. (2012), "Size-dependent free flexural vibration behavior of functionally graded nanoplates", Computat. Mater. Sci., 65, 74-80. DOI |
26 | Nazemnezhad, R. and Hosseini-Hashemi, S. (2014), "Nonlocal nonlinear free vibration of functionally graded nanobeams", Compos. Struct., 110, 192-199. DOI |
27 | Nejad, M.Z., Hadi, A. and Rastgoo, A. (2016), "Buckling analysis of arbitrary two-directional functionally graded euler-bernoulli nano-beams based on nonlocal elasticity theory", Int. J. Eng. Sci., 103, 1-10. DOI |
28 | Pradhan, S.C. and Murmu, T. (2010), "Small scale effect on the buckling analysis of single-layered graphene sheet embedded in an elastic medium based on nonlocal plate theory", Physica E: Low-dimensional Syst. Nanostruct., 42(5), 1293-1301. DOI |
29 | Rahmani, O. and Pedram, O. (2014), "Analysis and modeling the size effect on vibration of functionally graded nanobeams based on nonlocal timoshenko beam theory", Int. J. Eng. Sci., 77, 55-70. DOI |
30 | Rezaei, A.S. and Saidi, A.R. (2016), "Application of carrera unified formulation to study the effect of porosity on natural frequencies of thick porous-cellular plates", Compos. Part B: Eng., 91, 361-370. DOI |
31 | Ebrahimi, F. and Shafiei, N. (2017), "Influence of initial shear stress on the vibration behavior of single-layered graphene sheets embedded in an elastic medium based on reddy's higherorder shear deformation plate theory", Mech. Adv. Mater. Struct., 24(9), 761-772. DOI |
32 | Mojahedin, A., Joubaneh, E.F. and Jabbari, M. (2014), "Thermal and mechanical stability of a circular porous plate with piezoelectric actuators", Acta Mechanica, 225(12), 3437-3452. DOI |
33 | Ebrahimi, F. and Karimiasl, M. (2018), "Nonlocal and surface effects on the buckling behavior of flexoelectric sandwich nanobeams", Mech. Adv. Mater. Struct., 25(11), 943-952. DOI |
34 | Ebrahimi, F. and Rastgoo, A. (2008), "An analytical study on the free vibration of smart circular thin fgm plate based on classical plate theory", Thin-Wall. Struct., 46(12), 1402-1408. DOI |
35 | Ebrahimi, F. and Salari, E. (2015a), "Thermal buckling and free vibration analysis of size dependent timoshenko fg nanobeams in thermal environments", Compos. Struct., 128, 363-380. DOI |
36 | Ebrahimi, F. and Salari, E. (2015b), "Thermo-mechanical vibration analysis of a single-walled carbon nanotube embedded in an elastic medium based on higher-order shear deformation beam theory", J. Mech. Sci. Technol., 29(9), 3797-3803. DOI |
37 | Ebrahimi, F., Barati, M.R. and Dabbagh, A. (2016a), "Wave dispersion characteristics of axially loaded magneto-electroelastic nanobeams", Appl. Phys. A, 122(11), p. 949. DOI |
38 | Ebrahimi, F., Dabbagh, A. and Barati, M.R. (2016b), "Wave propagation analysis of a size-dependent magneto-electroelastic heterogeneous nanoplate", Eur. Phys. J. Plus, 131(12), p. 433. DOI |
39 | Ebrahimi, F., Barati, M.R. and Haghi, P. (2017a), "Wave propagation analysis of size-dependent rotating inhomogeneous nanobeams based on nonlocal elasticity theory", J. Vib. Control, p. 1077546317711537. |
40 | Shen, H.S. (2009), "A comparison of buckling and postbuckling behavior of fgm plates with piezoelectric fiber reinforced composite actuators", Compos. Struct., 91(3), 375-384. DOI |
41 | Simsek, M. (2015), "Bi-directional functionally graded materials (bdfgms) for free and forced vibration of timoshenko beams with various boundary conditions", Compos. Struct., 133, 968-978. DOI |
42 | Simsek, M., Kocaturk, T. and Akbas, S.D. (2012), "Dynamic behavior of an axially functionally graded beam under action of a moving harmonic load", Compos. Struct., 94(8), 2358-2364. DOI |
43 | Srividhya, S., Raghu, P., Rajagopal, A. and Reddy, J.N. (2018), "Nonlocal nonlinear analysis of functionally graded plates using third-order shear deformation theory", Int. J. Eng. Sci., 125, 1-22. DOI |
44 | Stelson, K.A. (2018), "Academic fluid power research in the USA", Int. J. Hydromechatronics, 1(1), 126-152. |
45 | Tang, Y. and Yang, T. (2018), "Post-buckling behavior and nonlinear vibration analysis of a fluid-conveying pipe composed of functionally graded material", Compos. Struct., 185, 393-400. DOI |
46 | Thai, H.T. and Choi, D.H. (2012), "A refined shear deformation theory for free vibration of functionally graded plates on elastic foundation", Compos. Part B: Eng., 43(5), 2335-2347. DOI |
47 | Eltaher, M.A., Alshorbagy, A.E. and Mahmoud, F.F. (2013), "Vibration analysis of euler-bernoulli nanobeams by using finite element method", Appl. Math. Model., 37(7), 4787-4797. DOI |
48 | Ebrahimi, F., Jafari, A. and Barati, M.R. (2017b), "Vibration analysis of magneto-electro-elastic heterogeneous porous material plates resting on elastic foundations", Thin-Wall. Struct., 119, 33-46. DOI |
49 | Ebrahimi, F., Barati, M.R. and Dabbagh, A. (2018), "Wave propagation in embedded inhomogeneous nanoscale plates incorporating thermal effects", Waves Random Complex Media, 28(2), 215-235. DOI |
50 | Eltaher, M.A., Emam, S.A. and Mahmoud, F.F. (2012), "Free vibration analysis of functionally graded size-dependent nanobeams", Appl. Math. Computat., 218(14), 7406-7420. DOI |
51 | Eringen, A.C. (1972), "Linear theory of nonlocal elasticity and dispersion of plane waves", Int. J. Eng Sci., 10(5), 425-435. DOI |
52 | Farajpour, M.R., Shahidi, A.R., Hadi, A. and Farajpour, A. (2018), "Influence of initial edge displacement on the nonlinear vibration, electrical and magnetic instabilities of magnetoelectro-elastic nanofilms", Mech. Adv. Mater. Struct., 1-13. |
53 | Gharibi, M., Nejad, M.Z. and Hadi, A. (2017), "Elastic analysis of functionally graded rotating thick cylindrical pressure vessels with exponentially-varying properties using power series method of frobenius", J. Computat. Appl. Mech., 48(1), 89-98. |
54 | Ghiasian, S.E., Kiani, Y., Sadighi, M. and Eslami, M.R. (2014), "Thermal buckling of shear deformable temperature dependent circular/annular fgm plates", Int. J. Mech. Sci., 81, 137-148. DOI |
55 | Ghiasian, S.E., Kiani, Y. and Eslami, M.R. (2015), "Nonlinear thermal dynamic buckling of fgm beams", Eur. J. Mech.-A/Solids, 54, 232-242. DOI |
56 | 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 |
57 | Tian, T., Nakano, M. and Li, W. (2018), "Applications of shear thickening fluids: a review", Int. J. Hydromechatronics, 1(2), 238-257. DOI |
58 | Wang, Y. and Wu, D. (2017), "Free vibration of functionally graded porous cylindrical shell using a sinusoidal shear deformation theory", Aerosp. Sci. Technol., 66, 83-91. DOI |
59 | Wattanasakulpong, N. and Ungbhakorn, V. (2014), "Linear and nonlinear vibration analysis of elastically restrained ends fgm beams with porosities", Aerosp. Sci. Technol., 32(1), 111-120. DOI |
60 | Zenkour, A.M. (2016), "Nonlocal transient thermal analysis of a single-layered graphene sheet embedded in viscoelastic medium", Physica E: Low-dimensional Syst. Nanostruct., 79, 87-97. DOI |
61 | Alshorbagy, M., Eltaher, M.A. and Mahmoud, F.F. (2011), "Free vibration characteristics of a functionally graded beam by finite element method", Appl. Math. Model., 35(1), 412-425. DOI |
62 | Alzahrani, E.O., Zenkour, A.M. and Sobhy, M. (2013), "Small scale effect on hygro-thermo-mechanical bending of nanoplates embedded in an elastic medium", Compos. Struct., 105, 163-172. DOI |
63 | Ansari, R., Arash, B. and Rouhi, H. (2011), "Vibration characteristics of embedded multi-layered graphene sheets with different boundary conditions via nonlocal elasticity", Compos. Struct., 93(9), 2419-2429. DOI |
64 | Atmane, H.A., Tounsi, A. and Bernard, F. (2017), "Effect of thickness stretching and porosity on mechanical response of a functionally graded beams resting on elastic foundations", Int. J. Mech. Mater. Des., 13(1), 71-84. DOI |
65 | Barati, M.R. (2017), "On wave propagation in nanoporous materials", Int. J. Eng. Sci., 116, 1-11. DOI |
66 | Castrucci, P. (2014), "Carbon nanotube/silicon hybrid heterojunctions for photovoltaic devices", Adv. Nano Res., Int. J., 2(1), 23-56. DOI |