References
- Ebrahimi, F. (2010), Smart functionally graded plates, Nova Science Publishers.
- 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. https://doi.org/10.1007/s13369-015-1930-4
- Ebrahimi, F. and Barati, M.R. (2016b), "Dynamic modeling of a thermo-piezo-electrically actuated nanosize beam subjected to a magnetic field", Appl. Phys. A, 122(4), 1-18.
- Ebrahimi, F. and Barati, M.R. (2016c), "Buckling analysis of smart size-dependent higher order magneto-electro-thermoelastic functionally graded nanosize beams", J. Mech., 1-11.
- Ebrahimi, F. and Barati, M.R. (2016d), "Vibration analysis of smart piezoelectrically actuated nanobeams subjected to magneto-electrical field in thermal environment", J. Vib. Control, 1077546316646239.
- Ebrahimi, F. and Barati, M.R. (2016e), "An exact solution for buckling analysis of embedded piezoelectro-magnetically actuated nanoscale beams", Adv. Nano Res., Int. J., 4(2), 65-84. https://doi.org/10.12989/anr.2016.4.2.065
- Ebrahimi, F. and Barati, M.R. (2016f), "Buckling analysis of nonlocal third-order shear deformable functionally graded piezoelectric nanobeams embedded in elastic medium", J. Brazil. Soc. Mech. Sci. Eng., 1-16.
- Ebrahimi, F. and Barati, M.R. (2016g), "Electromechanical buckling behavior of smart piezoelectrically actuated higherorder size-dependent graded nanoscale beams in thermal environment", Int. J. Smart Nano Mater., 1-22.
- Ebrahimi, F. and Barati, M.R. (2016h), "Flexural wave propagation analysis of embedded s-fgm nanobeams under longitudinal magnetic field based on nonlocal strain gradient theory", Arab. J. Sci. Eng., 1-12.
- Ebrahimi, F. and Barati, M.R. (2016i), "Small scale effects on hygro-thermo-mechanical vibration of temperature dependent nonhomogeneous nanoscale beams", Mech. Adv. Mater. Struct., 24(11), 924-936. https://doi.org/10.1080/15376494.2016.1196795
- Ebrahimi, F. and Barati, M.R. (2016j), "A unified formulation for dynamic analysis of nonlocal heterogeneous nanobeams in hygro-thermal environment", Appl. Phys. A, 122(9), 792. https://doi.org/10.1007/s00339-016-0322-2
- Ebrahimi, F. and Barati, M.R. (2016k), "A nonlocal higher-order refined magneto-electro-viscoelastic beam model for dynamic analysis of smart nanostructures", Int. J. Eng. Sci., 107, 183-196. https://doi.org/10.1016/j.ijengsci.2016.08.001
- Ebrahimi, F. and Barati, M.R. (2018), "Stability analysis of functionally graded heterogeneous piezoelectric nanobeams based on nonlocal elasticity theory", Adv. Nano Res., Int. J., 6(2), 93-112. https://doi.org/10.21474/IJAR01/7340
- Ebrahimi, F. and Dabbagh, A. (2018), "On wave dispersion characteristics of double-layered graphene sheets in thermal environments", J. Electromag. Waves Appl., 32(15), 1869-1888. https://doi.org/10.1080/09205071.2017.1417918
- Ebrahimi, F., Sepiani, H.A. and Arani, A.G. (2011), Progress in Analysis of functionally graded structures, Nova Science Publishers.
- Eringen, A.C. (1983), "On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves", J. Appl. Phys., 54(9), 4703-4710. https://doi.org/10.1063/1.332803
- Hebali, H., Tounsi, A., Houari, M.S.A., Bessaim, A. and Bedia, E.A.A. (2014), "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. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000665
- Jia, X.L., Zhang, S.M., Yang, J. and Kitipornchai, S. (2013), "Pullin instability of electrically actuated poly-SiGe graded Microbeams", Coupl. Syst. Mech., Int. J., 2(3), 215-230. https://doi.org/10.12989/csm.2013.2.3.215
- Ke, L.L. and Wang, Y.S. (2014), "Free vibration of size-dependent magneto-electro-elastic nanobeams based on the nonlocal theory", Physica E: Low-dimensional Syst. Nanostruct., 63, 52-61. https://doi.org/10.1016/j.physe.2014.05.002
- Li, Y.S., Cai, Z.Y. and Shi, S.Y. (2014), "Buckling and free vibration of magnetoelectroelastic nanoplate based on nonlocal theory", Compos. Struct., 111, 522-529. https://doi.org/10.1016/j.compstruct.2014.01.033
- Pan, E. and Han, F. (2005), "Exact solution for functionally graded and layered magneto-electro-elastic plates", Int. J. Eng. Sci., 43(3), 321-339. https://doi.org/10.1016/j.ijengsci.2004.09.006
- Ramirez, F., Heyliger, P.R. and Pan, E. (2006), "Discrete layer solution to free vibrations of functionally graded magnetoelectro-elastic plates", Mech. Adv. Mater. Struct., 13(3), 249-266 https://doi.org/10.1080/15376490600582750
- Sobhy, M. (2015), "A comprehensive study on FGM nanoplates embedded in an elastic medium", Compos. Struct., 134, 966-980. https://doi.org/10.1016/j.compstruct.2015.08.102
- Tanaka, Y. (2018), "Active vibration compensator on moving vessel by hydraulic parallel mechanism", Int. J. Hydromechatronics, 1(3), 350-359. https://doi.org/10.1504/IJHM.2018.094887
- Tang, H., Li, L. and Hu, Y. (2019), "Coupling effect of thickness and shear deformation on size-dependent bending of micro/nano-scale porous beams", Appl. Math. Model., 66, 527-547. https://doi.org/10.1016/j.apm.2018.09.027
- 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. https://doi.org/10.12989/anr.2013.1.1.001
- Wang, Z., Xie, Z. and Huang, W. (2018), "A pin-moment model of flexoelectric actuators", Int. J. Hydromechatronics, 1(1), 72-90. https://doi.org/10.1504/IJHM.2018.090306
- Wu, C.P., Chen, S.J. and Chiu, K.H. (2010), "Three-dimensional static behavior of functionally graded magneto-electro-elastic plates using the modified Pagano method", Mech. Res. Commun., 37(1), 54-60. https://doi.org/10.1016/j.mechrescom.2009.10.003
- Zhang, Y.Q., Liu, G.R. and Xie, X.Y. (2005), "Free transverse vibrations of double-walled carbon nanotubes using a theory of nonlocal elasticity", Phys. Rev., B 71, 195404. https://doi.org/10.1103/PhysRevB.71.195404
- Zenkour, A.M., Abouelregal, A.E., Alnefaie, K.A., Abu-Hamdeh, N.H. and Aifantis, E.C. (2014), "A refined nonlocal thermoelasticity theory for the vibration of nanobeams induced by ramp-type heating", Appl. Math. Comput., 248, 169-183. https://doi.org/10.1016/j.amc.2014.09.075