1 She, G. L., "Wave propagation of functionally graded porous nanobeams based on non-local strain gradient theory" 133 : 368-, 2018
2 Ghayesh, M. H., "Vibration analysis of shear-deformable AFG imperfect beams" 200 : 910-920, 2018
3 Javad Ehyaei, "Vibration analysis of micro composite thin beam based on modified couple stress" 국제구조공학회 64 (64): 403-411, 2017
4 Shafiei, N., "Transverse vibration of rotary tapered microbeam based on modified couple stress theory and generalized differential quadrature element method" 24 (24): 240-252, 2017
5 Hayat Saidi, "Thermo-mechanical bending response with stretching effect of functionally graded sandwich plates using a novel shear deformation theory" 국제구조공학회 15 (15): 221-245, 2013
6 Jia, X. L., "Thermal-mechanical-electrical buckling behavior of functionally graded micro-beams based on modified couple stress theory" 202 : 625-634, 2018
7 Li, S. R., "Thermal postbuckling of functionally graded material Timoshenko beams" 27 (27): 803-810, 2006
8 K. Sanjay Anandrao, "Thermal post-buckling analysis of uniform slender functionally graded material beams" 국제구조공학회 36 (36): 545-560, 2010
9 Turgut KOCATÜRK, "Thermal post-buckling analysis of functionally graded beams with temperature-dependent physical properties" 국제구조공학회 15 (15): 481-505, 2013
10 N. Safaeian Hamzehkolaei, "Thermal effect on axisymmetric bending of functionally graded circular and annular plates using DQM" 국제구조공학회 11 (11): 341-358, 2011
11 She, G. L., "Thermal buckling and post-buckling analysis of functionally graded beams based on a general higher-order shear deformation theory" 47 : 340-357, 2017
12 Wattanasakulpong, N., "Thermal buckling and elastic vibration of third-order shear deformable functionally graded beams" 53 (53): 734-743, 2011
13 Kiani, Y., "Thermal buckling analysis of functionally graded material beams" 6 (6): 229-238, 2010
14 Eringen, A. C., "Theory of micropolarplates" 18 : 12-30, 1967
15 Toupin, R. A., "Theories of elasticity with couple-stresses" 17 : 85-112, 1964
16 Thanh, C. L., "The size-dependent thermal bending and buckling analyses of composite laminate microplate based on new modified couple stress theory and isogeometric analysis" 350 : 337-361, 2019
17 Li, B., "Strain analysis in MEMS/NEMS structures and devices by using focused ion beam system" 111 (111): 57-62, 2004
18 Salamat-Talab, M., "Static and dynamic analysis of third-order shear deformation FG micro beam based on modified couple stress theory" 57 (57): 63-73, 2012
19 Kong, S., "Static and dynamic analysis of micro beams based on strain gradient elasticity theory" 47 : 487-498, 2009
20 Lei, J., "Sizedependent vibration of nickel cantilever microbeams : Experiment and gradient elasticity" 6 (6): 105202-, 2016
21 Nateghi, A., "Size dependent buckling analysis of functionally graded micro beams based on modified couple stress theory" 36 (36): 4971-4987, 2012
22 Al-Basyouni, K. S., "Size dependent bending and vibration analysis of functionally graded micro beams based on modified couple stress theory and neutral surface position" 125 : 621-630, 2015
23 Omid Rahmani, "Size dependent bending analysis of micro/nano sandwich structures based on a nonlocal high order theory" 국제구조공학회 27 (27): 371-388, 2018
24 Aydogdu, M., "Semi-inverse method for vibration and buckling of axially functionally graded beams" 27 (27): 683-691, 2008
25 Ghayesh, M. H., "Resonant dynamics of axially functionally graded imperfect tapered Timoshenko beams" 25 (25): 336-350, 2019
26 Liliana Marques, "Rayleigh-Ritz procedure for determination of the critical load of tapered columns" 국제구조공학회 16 (16): 47-60, 2014
27 Khorshidi, M. A., "Postbuckling of functionally graded nanobeams based on modified couple stress theory under general beam theory" 110 : 160-169, 2016
28 Ismahene Belkorissat, "On vibration properties of functionally graded nano-plate using a new nonlocal refined four variable model" 국제구조공학회 18 (18): 1063-1081, 2015
29 Shafiei, N., "On vibration of functionally graded nano-tubes in the thermal environment" 133 : 84-98, 2018
30 Shafiei, N., "On sizedependent nonlinear vibration of porous and imperfect functionally graded tapered microbeams" 106 : 42-56, 2016
31 Eringen, A. C., "On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves" 54 : 4703-4710, 1983
32 S.H. Tagrara, "On bending, buckling and vibration responses of functionally graded carbon nanotube-reinforced composite beams" 국제구조공학회 19 (19): 1259-1277, 2015
33 He, X. J., "Numerical simulation and analysis of electrically actuated microbeam-based MEMS capacitive switch" 15 (15): 301-307, 2009
34 Behrouz Karami, "Nonlocal strain gradient 3D elasticity theory for anisotropic spherical nanoparticles" 국제구조공학회 27 (27): 201-216, 2018
35 Eringen, A. C., "Nonlocal polar elastic continua" 10 : 1-16, 1972
36 Mohammad Arefi, "Nonlocal free vibration analysis of a doubly curved piezoelectric nano shell" 국제구조공학회 27 (27): 479-493, 2018
37 Simsek, M., "Nonlocal effects in the free longitudinal vibration of axially functionally graded tapered nanorods" 61 : 257-265, 2012
38 Ghayesh, M. H., "Nonlinear vibrations of axially functionally graded Timoshenko tapered beams" 13 (13): 041002-, 2018
39 Shafiei, N., "Nonlinear vibration of axially functionally graded tapered microbeams" 102 : 12-26, 2016
40 Ghayesh, M. H., "Nonlinear vibration analysis of axially functionally graded shear-deformable tapered beams" 59 : 583-596, 2018
41 Gusso, A., "Nonlinear dynamics and chaos in micro/ nanoelectromechanical beam resonators actuated by two-sided electrodes" 122 : 6-16, 2019
42 Ghayesh, M. H., "Nonlinear bending and forced vibrations of axially functionally graded tapered microbeams" 120 : 51-62, 2017
43 Payam, A. F., "Modeling and dynamic analysis of atomic force microscope based on Euler-Bernoulli beam theory" 4 (4): 565-578, 2009
44 David C.C. Lam, "Model and experiments on strain gradient hardening in metallic glass" Elsevier BV 318 (318): 313-319, 2001
45 Ghayesh, M. H., "Mechanics of tapered axially functionally graded shallow arches" 188 : 233-241, 2018
46 Ghayesh, M. H., "Mechanics of tapered AFG sheardeformable microbeams" 24 (24): 1743-1754, 2018
47 Khaniki, H. B., "Mechanical analysis of non-uniform bi-directional functionally graded intelligent microbeams using modified couple stress theory" 5 (5): 055703-, 2018
48 Hassen Ait Atmane, "Mathematical solution for free vibration of sigmoidfunctionally graded beams with varying cross-section" 국제구조공학회 11 (11): 489-504, 2011
49 Mohammad Rezaiee-Pajand, "Lateral-torsional buckling of functionally graded tapered I-beams considering lateral bracing" 국제구조공학회 28 (28): 403-414, 2018
50 Aifantis, E. C., "Gradient deformation models at nano, micro, and macroscales" 121 : 189-202, 1999
51 Dinh Kien Nguyen, "Free vibration of tapered BFGM beams using an efficient shear deformable finite element model" 국제구조공학회 29 (29): 363-377, 2018
52 Mehmet Avcar, "Free vibration of imperfect sigmoid and power law functionally graded beams" 국제구조공학회 30 (30): 603-615, 2019
53 O. Rahmani, "Free vibration of deep curved FG nano-beam based on modified couple stress theory" 국제구조공학회 26 (26): 607-620, 2018
54 Pradhan, K. K., "Free vibration of Euler and Timoshenko functionally graded beams by Rayleigh-Ritz method" 51 : 175-184, 2013
55 Sahraee, S., "Free vibration and buckling analysis of functionally graded deep beam-columns on twoparameter elastic foundations using the differential quadrature method" 223 (223): 1273-1284, 2009
56 Akgoz, B., "Free vibration analysis of axially functionally graded tapered Bernoulli-Euler microbeams based on the modified couple stress theory" 98 : 314-322, 2013
57 Reza Nazemnezhad, "Free axial vibration analysis of axially functionally graded thick nanorods using nonlocal Bishop's theory" 국제구조공학회 28 (28): 749-758, 2018
58 Mesut Simsek, "Forced vibration of an embedded single-walled carbon nanotube traversed by a moving load using nonlocal Timoshenko beam theory" 국제구조공학회 11 (11): 59-76, 2011
59 Shafiei, N., "Flapwise bending vibration analysis of rotary tapered functionally graded nanobeam in thermal environment" 26 (26): 139-155, 2019
60 Reza Jahangiri, "FGM micro-gripper under electrostatic and intermolecular Van-der Waals forces using modified couple stress theory" 국제구조공학회 18 (18): 1541-1555, 2015
61 Lam, D. C. C., "Experiments and theory in strain gradient elasticity" 51 (51): 1477-1508, 2003
62 Wang, C. M., "Exact Solutions for Buckling of Structural Members" CRC Press 2005
63 Lee, H. L., "Effects of damping on the vibration frequency of atomic force microscope cantilevers using the Timoshenko beam model" 48 (48): 065005-, 2009
64 Mindlin, R. D., "Effects of couplestresses in linear elasticity" 11 : 415-448, 1962
65 Won-Hong Lee, "Dynamic instability analysis for S-FGM plates embedded in Pasternak elastic medium using the modified couple stress theory" 국제구조공학회 22 (22): 1239-1259, 2016
66 Koiter, W. T., "Couple stresses in the theory of elasticity" 67 : 17-44, 1964
67 Yang, F., "Couple stress based strain gradient theory for elasticity" 39 : 2731-2743, 2002
68 Ak, C., "Computing the pull-in voltage of fixed-fixed micro-actuators by artificial neural network" 23 (23): 3537-3546, 2017
69 Shafiei, N., "Comparison of modeling of the rotating tapered axially functionally graded Timoshenko and Euler-Bernoulli microbeams" 83 : 74-87, 2016
70 Shafiei, N., "Buckling analysis on the bidimensional functionally graded porous tapered nano-/microscale beams" 66 : 1-11, 2017
71 Mohammed Sid Ahmed Houari, "Buckling analysis of new quasi-3D FG nanobeams based on nonlocal strain gradient elasticity theory and variable length scale parameter" 국제구조공학회 28 (28): 13-24, 2018
72 Bekir Akgöz, "Buckling analysis of linearly tapered micro-columns based on strain gradient elasticity" 국제구조공학회 48 (48): 195-205, 2013
73 Akgoz, B., "Buckling analysis of cantilever carbon nanotubes using the strain gradient elasticity and modified couple stress theories" 8 (8): 1821-1827, 2011
74 Amin Hadi, "Buckling analysis of FGM Euler-Bernoulli nano-beams with 3D-varying properties based on consistent couple-stress theory" 국제구조공학회 26 (26): 663-672, 2018
75 "Boeing"
76 Vardoulakis, I, "Bifurcation Analysis in Geomechanics" CRC Press 1995
77 Park, S. K., "Bernoulli-Euler beam model based on a modified couple stress theory" 16 (16): 2355-2359, 2006
78 Ghayesh, M. H., "Bending and vibration analyses of coupled axially functionally graded tapered beams" 91 (91): 17-28, 2018
79 Ngoc-Tuan Nguyen, "Analytical solutions for bending of transversely or axially FG nonlocal beams" 국제구조공학회 17 (17): 641-665, 2014
80 Simsek, M., "A unified higher order beam theory for buckling of a functionally graded microbeam embedded in elastic medium using modified couple stress theory" 101 : 47-58, 2013
81 Li, Z. K., "A standard experimental method for determining the material length scale based on modified couple stress theory" 141 : 198-205, 2018
82 Ahmed Hamidi, "A sinusoidal plate theory with 5-unknowns and stretching effect for thermomechanical bending of functionally graded sandwich plates" 국제구조공학회 18 (18): 235-253, 2015
83 Fleck, N. A., "A reformulation of strain gradient plasticity" 49 : 2245-2271, 2001
84 Kien T. Nguyen, "A refined higher-order shear deformation theory for bending, vibration and buckling analysis of functionally graded sandwich plates" 국제구조공학회 18 (18): 91-120, 2015
85 Younis, M. I., "A reduced-order model for electrically actuated microbeam-based MEMS" 12 (12): 672-680, 2003
86 Fleck, N. A., "A phenomenological theory for strain gradient effects in plasticity" 41 : 1825-1857, 1993
87 Ma, H. M., "A nonclassical Reddy-Levinson beam model based on a modified couple stress theory" 8 (8): 167-180, 2010
88 S. R. Mahmoud, "A new shear deformation plate theory with stretching effect for buckling analysis of functionally graded sandwich plates" 국제구조공학회 24 (24): 569-578, 2017
89 Riadh Bennai, "A new higher-order shear and normal deformation theory for functionally graded sandwich beams" 국제구조공학회 19 (19): 521-546, 2015
90 Lemya Hanifi Hachemi Amar, "A new four-unknown refined theory based on modified couple stress theory for size-dependent bending and vibration analysis of functionally graded micro-plate" 국제구조공학회 26 (26): 89-102, 2018
91 Ebrahimi, F., "A modified couple stress theory for buckling analysis of higher order inhomogeneous microbeams with porosities" 233 (233): 2855-2866, 2019
92 Ma, H. M., "A microstructuredependent Timoshenko beam model based on a modified couple stress theory" 56 (56): 3379-3391, 2008
93 Lim, C. W., "A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation" 78 : 298-313, 2015
94 Hassen Ait Atmane, "A computational shear displacement model for vibrational analysis of functionally graded beams with porosities" 국제구조공학회 19 (19): 369-384, 2015