[1] R. Mindlin, H. Tiersten, Effects of couple-stresses in linear elasticity, Archive for Rational Mechanics and analysis, Vol. 11, No. 1, pp. 415-448, 1962.
[2] R. D. Mindlin, Micro-structure in linear elasticity, Archive for Rational Mechanics and Analysis, Vol. 16, No. 1, pp. 51-78, 1964.
[3] A. C. Eringen, Theory of micromorphic materials with memory, International Journal of Engineering Science, Vol. 10, No. 7, pp. 623-641, 1972.
[4] A. C. Eringen, 2002, Nonlocal continuum field theories, Springer Science & Business Media,
[5] H. Makvandi, S. Moradi, D. Poorveis, K. H. Shirazi, A new approach for nonlinear vibration analysis of thin and moderately thick rectangular plates under inplane compressive load, Journal of Computational Applied Mechanics.
[6] A. Zargaripoor, Bahrami, Arian, Nikkhah Bahrami, Mansour, Free vibration and buckling analysis of third-order shear deformation plate theory using exact wave propagation approach, Journal of Computational Applied Mechanics, January 2018, 2018.
[7] R. Javidi, M. Moghimi Zand, K. Dastani, Dynamics of Nonlinear rectangular plates subjected to an orbiting mass based on shear deformation plate theory, Journal of Computational Applied Mechanics, 2017.
[8] S. Pradhan, J. Phadikar, Nonlocal elasticity theory for vibration of nanoplates, Journal of Sound and Vibration, Vol. 325, No. 1-2, pp. 206-223, 2009.
[9] T. Murmu, S. Pradhan, Small-scale effect on the free in-plane vibration of nanoplates by nonlocal continuum model, Physica E: Low-dimensional Systems and Nanostructures, Vol. 41, No. 8, pp. 1628-1633, 2009.
[10] R. Aghababaei, J. Reddy, Nonlocal third-order shear deformation plate theory with application to bending and vibration of plates, Journal of Sound and Vibration, Vol. 326, No. 1-2, pp. 277-289, 2009.
[11] T. Aksencer, M. Aydogdu, Levy type solution method for vibration and buckling of nanoplates using nonlocal elasticity theory, Physica E: Low-dimensional Systems and Nanostructures, Vol. 43, No. 4, pp. 954-959, 2011.
[12] P. Malekzadeh, M. Shojaee, Free vibration of nanoplates based on a nonlocal two-variable refined plate theory, Composite Structures, Vol. 95, pp. 443-452, 2013.
[13] S. Chakraverty, L. Behera, Free vibration of rectangular nanoplates using Rayleigh–Ritz method, Physica E: Low-dimensional Systems and Nanostructures, Vol. 56, pp. 357-363, 2014.
[14] P. Malekzadeh, M. Shojaee, A two-variable first-order shear deformation theory coupled with surface and nonlocal effects for free vibration of nanoplates, Journal of Vibration and Control, Vol. 21, No. 14, pp. 2755-2772, 2015.
[15] S. Chakraverty, L. Behera, Small scale effect on the vibration of non-uniform nanoplates, Structural Engineering and Mechanics, Vol. 55, No. 3, pp. 495-510, 2015.
[16] M. Panyatong, B. Chinnaboon, S. Chucheepsakul, Nonlocal second-order shear deformation plate theory for free vibration of nanoplates, Suranaree Journal of Science & Technology, Vol. 22, No. 4, 2015.
[17] L. Behera, S. Chakraverty, Effect of scaling effect parameters on the vibration characteristics of nanoplates, Journal of Vibration and Control, Vol. 22, No. 10, pp. 2389-2399, 2016.
[18] S. Faroughi, S. M. H. Goushegir, Free in-plane vibration of heterogeneous nanoplates using Ritz method, Journal of Theoretical and Applied Vibration and Acoustics, Vol. 2, No. 1, pp. 1-20, 2016.
[19] M. H. Shokrani, A. R. Shahidi, Size-dependent free vibration analysis of rectangular nanoplates with the consideration of surface effects using finite difference method, Journal of applied and computational mechanics, Vol. 1, No. 3, pp. 122-133, 2015.
[20] S. Sarrami-Foroushani, M. Azhari, Nonlocal buckling and vibration analysis of thick rectangular nanoplates using finite strip method based on refined plate theory, Acta Mechanica, Vol. 227, No. 3, pp. 721-742, 2016.
[21] S. Hosseini-Hashemi, M. Kermajani, R. Nazemnezhad, An analytical study on the buckling and free vibration of rectangular nanoplates using nonlocal third-order shear deformation plate theory, European Journal of Mechanics-A/Solids, Vol. 51, pp. 29-43, 2015.
[22] D. Rong, J. Fan, C. Lim, X. Xu, Z. Zhou, A New Analytical Approach for Free Vibration, Buckling and Forced Vibration of Rectangular Nanoplates Based on Nonlocal Elasticity Theory, International Journal of Structural Stability and Dynamics, pp. 1850055, 2017.
[23] A. Daneshmehr, A. Rajabpoor, A. Hadi, Size dependent free vibration analysis of nanoplates made of functionally graded materials based on nonlocal elasticity theory with high order theories, International Journal of Engineering Science, Vol. 95, pp. 23-35, 2015.
[24] M. Hosseini, H. H. Gorgani, M. Shishesaz, A. Hadi, Size-Dependent Stress Analysis of Single-Wall Carbon Nanotube Based on Strain Gradient Theory, International Journal of Applied Mechanics, Vol. 9, No. 06, pp. 1750087, 2017.
[25] M. Hosseini, M. Shishesaz, K. N. Tahan, A. Hadi, Stress analysis of rotating nano-disks of variable thickness made of functionally graded materials, International Journal of Engineering Science, Vol. 109, pp. 29-53, 2016.
[26] M. Z. Nejad, A. Rastgoo, A. Hadi, Effect of exponentially-varying properties on displacements and stresses in pressurized functionally graded thick spherical shells with using iterative technique, Journal of Solid Mechanics, Vol. 6, No. 4, pp. 366-377, 2014.
[27] M. Z. Nejad, A. Hadi, Eringen's non-local elasticity theory for bending analysis of bi-directional functionally graded Euler–Bernoulli nano-beams, International Journal of Engineering Science, Vol. 106, pp. 1-9, 2016.
[28] M. Z. Nejad, A. Hadi, Non-local analysis of free vibration of bi-directional functionally graded Euler–Bernoulli nano-beams, International Journal of Engineering Science, Vol. 105, pp. 1-11, 2016.
[29] M. Z. Nejad, A. Hadi, A. Farajpour, Consistent couple-stress theory for free vibration analysis of Euler-Bernoulli nano-beams made of arbitrary bi-directional functionally graded materials, Structural Engineering and Mechanics, Vol. 63, No. 2, pp. 161-169, 2017.
[30] M. Z. Nejad, A. Hadi, A. Rastgoo, Buckling analysis of arbitrary two-directional functionally graded Euler–Bernoulli nano-beams based on nonlocal elasticity theory, International Journal of Engineering Science, Vol. 103, pp. 1-10, 2016.
[31] M. Z. Nejad, A. Rastgoo, A. Hadi, Exact elasto-plastic analysis of rotating disks made of functionally graded materials, International Journal of Engineering Science, Vol. 85, pp. 47-57, 2014.
[32] M. Shishesaz, M. Hosseini, K. N. Tahan, A. Hadi, Analysis of functionally graded nanodisks under thermoelastic loading based on the strain gradient theory, Acta Mechanica, Vol. 228, No. 12, pp. 4141-4168, 2017.
[33] A. Hadi, M. Z. Nejad, A. Rastgoo, M. Hosseini, Buckling analysis of FGM Euler-Bernoulli nano-beams with 3D-varying properties based on consistent couple-stress theory, Steel and Composite Structures, Vol. 26, No. 6, pp. 663-672, 2018.
[34] M. Zamani Nejad, M. Jabbari, A. Hadi, A review of functionally graded thick cylindrical and conical shells, Journal of Computational Applied Mechanics, Vol. 48, No. 2, pp. 357-370, 2017.
[35] A. Hadi, M. Z. Nejad, M. Hosseini, Vibrations of three-dimensionally graded nanobeams, International Journal of Engineering Science, Vol. 128, pp. 12-23, 2018.
[36] X. Zhang, G. Liu, K. Lam, Vibration analysis of thin cylindrical shells using wave propagation approach, Journal of sound and vibration, Vol. 239, No. 3, pp. 397-403, 2001.
[37] C. Mei, B. Mace, Wave reflection and transmission in Timoshenko beams and wave analysis of Timoshenko beam structures, Journal of vibration and acoustics, Vol. 127, No. 4, pp. 382-394, 2005.
[38] T. Natsuki, M. Endo, H. Tsuda, Vibration analysis of embedded carbon nanotubes using wave propagation approach, Journal of Applied Physics, Vol. 99, No. 3, pp. 034311, 2006.
[39] L. Xuebin, Study on free vibration analysis of circular cylindrical shells using wave propagation, Journal of sound and vibration, Vol. 311, No. 3-5, pp. 667-682, 2008.
[40] A. Bahrami, M. R. Ilkhani, M. N. Bahrami, Wave propagation technique for free vibration analysis of annular circular and sectorial membranes, Journal of Vibration and Control, Vol. 21, No. 9, pp. 1866-1872, 2015.
[41] A. Bahrami, A. Teimourian, Nonlocal scale effects on buckling, vibration and wave reflection in nanobeams via wave propagation approach, Composite Structures, Vol. 134, pp. 1061-1075, 2015.
[42] M. Ilkhani, A. Bahrami, S. Hosseini-Hashemi, Free vibrations of thin rectangular nano-plates using wave propagation approach, Applied Mathematical Modelling, Vol. 40, No. 2, pp. 1287-1299, 2016.
[43] A. Bahrami, A. Teimourian, Study on the effect of small scale on the wave reflection in carbon nanotubes using nonlocal Timoshenko beam theory and wave propagation approach, Composites Part B: Engineering, Vol. 91, pp. 492-504, 2016.
[44] A. Bahrami, A. Teimourian, Study on vibration, wave reflection and transmission in composite rectangular membranes using wave propagation approach, Meccanica, Vol. 52, No. 1-2, pp. 231-249, 2017.
[45] A. Bahrami, A. Teimourian, Small scale effect on vibration and wave power reflection in circular annular nanoplates, Composites Part B: Engineering, Vol. 109, pp. 214-226, 2017.
[46] A. Bahrami, Free vibration, wave power transmission and reflection in multi-cracked nanorods, Composites Part B: Engineering, Vol. 127, pp. 53-62, 2017.
[47] J. N. Reddy, A simple higher-order theory for laminated composite plates, Journal of applied mechanics, Vol. 51, No. 4, pp. 745-752, 1984.