참고문헌
- 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. https://doi.org/10.1016/j.compositesb.2015.12.029
- 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", Phys. E: Low-Dimens. Syst. Nanostruct., 68, 112-122. https://doi.org/10.1016/j.physe.2014.12.025
- Asemi, S.R., Farajpour, A., Asemi, H.R. and Mohammadi, M. (2014), "Influence of initial stress on the vibration of doublepiezoelectric-nanoplate systems with various boundary conditions using DQM", Phys. E: Low-Dimens. Syst. Nanostruct., 63, 169-179. https://doi.org/10.1016/j.physe.2014.05.009
- 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), "Small scale effects on hygro-thermo-mechanical vibration of temperature dependent nonhomogeneous nanoscale beams", Mech. Adv. Mater. Struct., Just Accepted.
- Ebrahimi, F. and Barati, M.R. (2016c), "Size-dependent thermal stability analysis of graded piezomagnetic nanoplates on elastic medium subjected to various thermal environments", Appl. Phys. A, 122(10), 910. https://doi.org/10.1007/s00339-016-0441-9
- Ebrahimi, F. and Barati, M.R. (2016d), "Static stability analysis of smart magneto-electro-elastic heterogeneous nanoplates embedded in an elastic medium based on a four-variable refined plate theory", Smart Mater. Struct., 25(10), 105014. https://doi.org/10.1088/0964-1726/25/10/105014
- Ebrahimi, F. and Barati, M.R. (2016e), "Buckling analysis of piezoelectrically actuated smart nanoscale plates subjected to magnetic field", J. Intell. Mater. Syst. Struct., 28(11), 1472-1490.
- Ebrahimi, F. and Barati, M.R. (2016f), "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. (2016g), "Vibration analysis of nonlocal beams made of functionally graded material in thermal environment", Eur. Phys. J. Plus, 131(8), 279. https://doi.org/10.1140/epjp/i2016-16279-y
- Ebrahimi, F. and Barati, M.R. (2016h), "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. (2016i), "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. (2016j), "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. (2016k), "Hygrothermal effects on vibration characteristics of viscoelastic FG nanobeams based on nonlocal strain gradient theory", Compos. Struct., 159, 433-444.
- Ebrahimi, F. and Barati, M.R. (2016l), "Buckling analysis of nonlocal third-order shear deformable functionally graded piezoelectric nanobeams embedded in elastic medium", J. Brazil. Soc. Mech. Sci. Eng., 39(3), 937-952.
- Ebrahimi, F. and Barati, M.R. (2016m), "Magnetic field effects on buckling behavior of smart size-dependent graded nanoscale beams", Eur. Phys. J. Plus, 131(7), 1-14. https://doi.org/10.1140/epjp/i2016-16001-3
- Ebrahimi, F. and Barati, M.R. (2016n), "Buckling analysis of smart size-dependent higher order magneto-electro-thermoelastic functionally graded nanosize beams", J. Mech., 33(1), 23-33.
- Ebrahimi, F. and Barati, M.R. (2016o), "An exact solution for buckling analysis of embedded piezoelectro-magnetically actuated nanoscale beams", Adv. Nano Res., 4(2), 65-84. https://doi.org/10.12989/anr.2016.4.2.065
- Ebrahimi, F. and Barati, M.R. (2016p), "Electromechanical buckling behavior of smart piezoelectrically actuated higherorder size-dependent graded nanoscale beams in thermal environment", Int. J. Smart Nano Mater., 7(2), 69-90. https://doi.org/10.1080/19475411.2016.1191556
- Ebrahimi, F. and Barati, M.R. (2016q), "Small scale effects on hygro-thermo-mechanical vibration of temperature dependent nonhomogeneous nanoscale beams", Mech. Adv. Mater. Struct., Just Accepted.
- Ebrahimi, F. and Barati, M.R. (2017), "A nonlocal strain gradient refined beam model for buckling analysis of size-dependent shear-deformable curved FG nanobeams", Compos. Struct., 159, 174-182. https://doi.org/10.1016/j.compstruct.2016.09.058
- Ebrahimi, F. and Boreiry, M. (2015), "Investigating various surface effects on nonlocal vibrational behavior of nanobeams", Appl. Phys. A, 121(3), 1305-1316. https://doi.org/10.1007/s00339-015-9512-6
- Ebrahimi, F. and Dabbagh, A. (2016), "On flexural wave propagation responses of smart FG magneto-electro-elastic nanoplates via nonlocal strain gradient theory", Compos. Struct., 162, 281-293.
- Ebrahimi, F. and Hosseini, S.H.S. (2016a), "Thermal effects on nonlinear vibration behavior of viscoelastic nanosize plates", J. Therm. Stress., 39(5), 606-625. https://doi.org/10.1080/01495739.2016.1160684
- Ebrahimi, F. and Hosseini, S.H.S. (2016b), "Double nanoplatebased NEMS under hydrostatic and electrostatic actuations", Eur. Phys. J. Plus, 131(5), 1-19. https://doi.org/10.1140/epjp/i2016-16001-3
- Ebrahimi, F. and Salari, E (2015c), "Nonlocal thermo-mechanical vibration analysis of functionally graded nanobeams in thermal environment", Acta Astronaut., 113, 29-50. https://doi.org/10.1016/j.actaastro.2015.03.031
- 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. https://doi.org/10.1016/j.compstruct.2015.03.023
- Ebrahimi, F. and Salari, E. (2015b), "Size-dependent free flexural vibrational behavior of functionally graded nanobeams using semi-analytical differential transform method", Compos. Part B: Eng., 79, 156-169. https://doi.org/10.1016/j.compositesb.2015.04.010
- Ebrahimi, F., Barati, M.R. and Dabbagh, A. (2016), "A nonlocal strain gradient theory for wave propagation analysis in temperature-dependent inhomogeneous nanoplates", Int. J. Eng. Sci., 107, 169-182. https://doi.org/10.1016/j.ijengsci.2016.07.008
- Ebrahimi, F., Ghadiri, M., Salari, E., Hoseini, S.A.H. and Shaghaghi, G.R. (2015a), "Application of the differential transformation method for nonlocal vibration analysis of functionally graded nanobeams", J. Mech. Sci. Technol., 29(3), 1207-1215. https://doi.org/10.1007/s12206-015-0234-7
- Ebrahimi, F., Salari, E. and Hosseini, S.A.H. (2016), "In-plane thermal loading effects on vibrational characteristics of functionally graded nanobeams", Meccan., 51(4), 951-977. https://doi.org/10.1007/s11012-015-0248-3
- Ebrahimi, F., Salari, E., Hosseini, S.A.H. (2015b), "Thermomechanical vibration behavior of FG nanobeams subjected to linear and nonlinear temperature distributions", J. Therm. Stress., 38(12), 1360-1386. https://doi.org/10.1080/01495739.2015.1073980
- Ebrahimi, F., Shaghaghi, G.R. and Boreiry, M. (2016), "An investigation into the influence of thermal loading and surface effects on mechanical characteristics of nanotubes", Struct. Eng. Mech., 57(1), 179-200. https://doi.org/10.12989/sem.2016.57.1.179
- Eringen, A.C. (1972), "Nonlocal polar elastic continua", Int. J. Eng. Sci., 10(1), 1-16. https://doi.org/10.1016/0020-7225(72)90070-5
- 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
- Gurtin, M.E. and Murdoch, A.I. (1975), "A continuum theory of elastic material surfaces", Arch. Rat. Mech. Analy., 57(4), 291-323. https://doi.org/10.1007/BF00261375
- 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", Meccan., 52(6), 1381-1396.
- Jiang, X., Huang, W. and Zhang, S. (2013), "Flexoelectric nanogenerator: Materials, structures and devices", Nano Energy, 2(6), 1079-1092. https://doi.org/10.1016/j.nanoen.2013.09.001
- Ke, L.L. and Wang, Y.S. (2012), "Thermoelectric-mechanical vibration of piezoelectric nanobeams based on the nonlocal theory", Smart Mater. Struct., 21(2), 025018. https://doi.org/10.1088/0964-1726/21/2/025018
- 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. https://doi.org/10.1016/j.ijengsci.2016.02.010
- Li, Y.S. and Pan, E. (2016), "Bending of a sinusoidal piezoelectric nanoplate with surface effect", Compos. Struct., 136, 45-55. https://doi.org/10.1016/j.compstruct.2015.09.047
- Liang, X., Hu, S. and Shen, S. (2014), "Effects of surface and flexoelectricity on a piezoelectric nanobeam", Smart Mater. Struct., 23(3), 035020. https://doi.org/10.1088/0964-1726/23/3/035020
- Liang, X., Hu, S. and Shen, S. (2015), "Size-dependent buckling and vibration behaviors of piezoelectric nanostructures due to flexoelectricity", Smart Mater. Struct., 24(10), 105012. https://doi.org/10.1088/0964-1726/24/10/105012
- Liang, X., Yang, W., Hu, S. and Shen, S. (2016), "Buckling and vibration of flexoelectric nanofilms subjected to mechanical loads", J. Phys. D: Appl. Phys., 49(11), 115307. https://doi.org/10.1088/0022-3727/49/11/115307
- Liu, C., Ke, L.L., Wang, Y.S. and Yang, J. (2015), "Nonlinear vibration of nonlocal piezoelectric nanoplates", Int. J. Struct. Stab. Dyn., 15(8), 1540013. https://doi.org/10.1142/S0219455415400131
- 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. https://doi.org/10.1016/j.compstruct.2013.05.031
- 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. Stab. Dyn., 14(3), 1350067. https://doi.org/10.1142/S0219455413500673
- Liu, C., Ke, L.L., Yang, J., Kitipornchai, S. and Wang, Y.S. (2016), "Nonlinear vibration of piezoelectric nanoplates using nonlocal Mindlin plate theory", Mech. Adv. Mater. Struct., Just Accepted.
- Ochs, S., Li, S., Adams, C. and Melz, T. (2017), Efficient Experimental Validation of Stochastic Sensitivity Analyses of Smart Systems, Smart Structures and Materials, Springer International Publishing.
- Salehipour, H., Shahidi, A.R. and Nahvi, H. (2015), "Modified nonlocal elasticity theory for functionally graded materials", Int. J. Eng. Sci., 90, 44-57. https://doi.org/10.1016/j.ijengsci.2015.01.005
- Wang, K.F. and Wang, B.L. (2011), "Vibration of nanoscale plates with surface energy via nonlocal elasticity", Phys. E: Low-Dimens. Syst. Nanostruct., 44(2), 448-453. https://doi.org/10.1016/j.physe.2011.09.019
- Wang, K.F. and Wang, B.L. (2012), "The electromechanical coupling behavior of piezoelectric nanowires: Surface and small-scale effects", Europhys. Lett., 97(6), 66005. https://doi.org/10.1209/0295-5075/97/66005
- Wang, W., Li, P., Jin, F. and Wang, J. (2016), "Vibration analysis of piezoelectric ceramic circular nanoplates considering surface and nonlocal effects", Compos. Struct., 140, 758-775. https://doi.org/10.1016/j.compstruct.2016.01.035
- Yan, Z. and Jiang, L.Y. (2011), "The vibrational and buckling behaviors of piezoelectric nanobeams with surface effects", Nanotechnol., 22(24), 245703. https://doi.org/10.1088/0957-4484/22/24/245703
- Yan, Z. and Jiang, L.Y. (2012), Vibration and Buckling Analysis of a Piezoelectric Nanoplate Considering Surface Effects and In-Plane Constraints, Proc. R. Soc. A, The Royal Society.
- Yang, W., Liang, X. and Shen, S. (2015), "Electromechanical responses of piezoelectric nanoplates with flexoelectricity", Acta Mech., 226(9), 3097-3110. https://doi.org/10.1007/s00707-015-1373-8
- Zang, J., Fang, B., Zhang, Y.W., Yang, T.Z. and Li, D.H. (2014), "Longitudinal wave propagation in a piezoelectric nanoplate considering surface effects and nonlocal elasticity theory", Phys. E: Low-Dimens. Syst. Nanostruct., 63, 147-150. https://doi.org/10.1016/j.physe.2014.05.019
- Zhang, C., Chen, W. and Zhang, C. (2013), "Two-dimensional theory of piezoelectric plates considering surface effect", Eur. J. Mech.-A/Sol., 41, 50-57. https://doi.org/10.1016/j.euromechsol.2013.02.005
- Zhang, J., Wang, C. and Chen, W. (2014b), "Surface and piezoelectric effects on the buckling of piezoelectric nanofilms due to mechanical loads", Meccan., 49(1), 181-189. https://doi.org/10.1007/s11012-013-9784-x
- Zhang, L.L., Liu, J.X., Fang, X.Q. and Nie, G.Q. (2014a), "Sizedependent dispersion characteristics in piezoelectric nanoplates with surface effects", Phys. E: Low-Dimens. Syst. Nanostruct., 57, 169-174. https://doi.org/10.1016/j.physe.2013.11.007
- 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. https://doi.org/10.1063/1.4897367
- Zhang, Z., Yan, Z. and Jiang, L. (2014), "Flexoelectric effect on the electroelastic responses and vibrational behaviors of a piezoelectric nanoplate", J. Appl. Phys., 116(1), 014307. https://doi.org/10.1063/1.4886315
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