[1] Eringen, A.C., Linear Theory of Nonlocal Elasticity and Dispersion of Plane-Waves, International Journal of Engineering Science, 10(5), 1972, pp. 425-435.
[2] Eringen, A.C., On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves, Journal of Applied Physics, 54(9), 1983, pp. 4703-4710.
[3] Wang, L.F., Hu, H.Y., Flexural wave propagation in single-walled carbon nanotubes, Physical Review B, 71(19), 2005, 11p.
[4] Duan, W.H., Wang, C.M., Zhang, Y.Y., Calibration of nonlocal scaling effect parameter for free vibration of carbon nanotubes by molecular dynamics, Journal of Applied Physics, 101(2), 2007, 024305.
[5] Aydogdu, M., Longitudinal wave propagation in nanorods using a general nonlocal unimodal rod theory and calibration of nonlocal parameter with lattice dynamics, International Journal of Engineering Science, 56, 2012, pp. 17-28.
[6] Wang, C.M., Zhang, Z., Challamel, N., Duan, W.H., Calibration of Eringen's small length scale coefficient for initially stressed vibrating nonlocal Euler beams based on microstructured beam model, Journal of Physics D-Applied Physics, 46(34), 2013, 345501.
[7] Gao, Y., Lei, F.-M., Small scale effects on the mechanical behaviors of protein microtubules based on the nonlocal elasticity theory, Biochemical and Biophysical Research Communications, 387(3), 2009, pp. 467-471.
[8] Peddieson, J., Buchanan, G.R., McNitt, R.P., Application of nonlocal continuum models to nanotechnology, International Journal of Engineering Science, 41(3), 2003, pp. 305-312.
[9] Akgöz, B., Civalek, Ö., Bending analysis of FG microbeams resting on Winkler elastic foundation via strain gradient elasticity, Composite Structures, 134, 2015, pp. 294-301.
[10] Akgoz, B., Civalek, O., Bending analysis of embedded carbon nanotubes resting on an elastic foundation using strain gradient theory, Acta Astronautica, 119, 2016, pp. 1-12.
[11] Demir, Ç., Civalek, Ö., Nonlocal deflection of microtubules under point load, International Journal of Engineering and Applied Sciences, 7(3), 2015, pp. 33-39.
[12] Wang, Q., Liew, K.M., Application of nonlocal continuum mechanics to static analysis of micro-and nano-structures, Physics Letters A, 363(3), 2007, pp. 236-242.
[13] Reddy, J.N., Pang, S.D., Nonlocal continuum theories of beams for the analysis of carbon nanotubes, Journal of Applied Physics, 103(2), 2008, 023511.
[14] Reddy, J.N., Nonlocal theories for bending, buckling and vibration of beams, International Journal of Engineering Science, 45(2), (2007) 288-307.
[15] Fan, C.Y., Zhao, M.H., Zhu, Y.J., Liu, H.T., Zhang, T.Y., Analysis of micro/nanobridge test based on nonlocal elasticity, International Journal of Solids and Structures, 49(15-16), 2012, pp. 2168-2176.
[16] De Rosa, M.A., Franciosi, C., A simple approach to detect the nonlocal effects in the static analysis of Euler-Bernoulli and Timoshenko beams, Mechanics Research Communications, 48, 2013, pp. 66-69.
[17] Janghorban, M., Two different types of differential quadrature methods for static analysis of microbeams based on nonlocal thermal elasticity theory in thermal environment, Archive of Applied Mechanics, 82(5), 2012, pp. 669-675.
[18] Demir, C., Civalek, Ö., Tek katmanlı grafen tabakaların eğilme ve titreşimi, Mühendislik Bilimleri ve Tasarım Dergisi, 4(3), 2016, pp. 173-183.
[19] Farajpour, A., Shahidi, A.R., Mohammadi, M., Mahzoon, M., Buckling of orthotropic micro/nanoscale plates under linearly varying in-plane load via nonlocal continuum mechanics, Composite Structures, 94(5), 2012, pp. 1605-1615.
[20] Liu, C., Ke, L.-L., Yang, J., Kitipornchai, S., Wang, Y.-S., Buckling and post-buckling analyses of size-dependent piezoelectric nanoplates, Theoretical and Applied Mechanics Letters, 6(6), 2016, pp. 253-267.
[21] Liu, C., Ke, L.-L., Yang, J., Kitipornchai, S., Wang, Y.-S., Nonlinear vibration of piezoelectric nanoplates using nonlocal Mindlin plate theory, Mechanics of Advanced Materials and Structures, 2016, doi: 10.1080/15376494.2016.1149648.
[22] Asemi, S.R., Mohammadi, M., Farajpour, A., A study on the nonlinear stability of orthotropic single-layered graphene sheet based on nonlocal elasticity theory, Latin American Journal of Solids and Structures, 11(9), 2014, pp. 1541-1564.
[23] Malekzadeh, P., Farajpour, A., Axisymmetric free and forced vibrations of initially stressed circular nanoplates embedded in an elastic medium, Acta Mechanica, 223(11), 2012, pp. 2311-2330.
[24] Gurses, M., Akgoz, B., Civalek, O., Mathematical modeling of vibration problem of nano-sized annular sector plates using the nonlocal continuum theory via eight-node discrete singular convolution transformation, Applied Mathematics and Computation, 219(6), 2012, pp. 3226-3240.
[25] Dinev, D., Analytical solution of beam on elastic foundation by singularity functions, Engineering Mechanics, 19(6), 2012, pp. 381-392.
[26] Demir, C., Akgoz, B., Erdinc, M.C., Mercan, K., Civalek, O., Free vibration analysis of graphene sheets on elastic matrix, Journal of the Faculty of Engineering and Architecture of Gazi, 32(2), 2017, pp. 551-562.
[27] Murmu, T., Pradhan, S.C., Thermo-mechanical vibration of a single-walled carbon nanotube embedded in an elastic medium based on nonlocal elasticity theory, Computational Materials Science, 46(4), 2009, pp. 854-859.
[28] Murmu, T., Pradhan, S.C., Buckling analysis of a single-walled carbon nanotube embedded in an elastic medium based on nonlocal elasticity and Timoshenko beam theory and using DQM, Physica E, 41(7), 2009, pp. 1232-1239.
[29] Pradhan, S.C., Reddy, G.K., Buckling analysis of single walled carbon nanotube on Winkler foundation using nonlocal elasticity theory and DTM, Computational Materials Science, 50(3), 2011, pp. 1052-1056.
[30] Yoon, J., Ru, C.Q., Mioduchowski, A., Vibration of an embedded multiwall carbon nanotube, Composite Science and Technology, 63(11), 2003, pp. 1533-1542.
[31] Mercan, K., Numanoglu, H., Akgöz, B., Demir, C., Civalek, Ö., Higher-order continuum theories for buckling response of silicon carbide nanowires (SiCNWs) on elastic matrix, Archives of Applied Mechanics, 87(11), 2017, pp. 1797–1814.
[32] Mercan, K., Civalek, O., Buckling analysis of Silicon carbide nanotubes (SiCNTs) with surface effect and nonlocal elasticity using the method of HDQ, Composite Part B: Engineering, 114, 2017, pp. 35-45.
[33] Mercan, K., Civalek, Ö., DSC method for buckling analysis of boron nitride nanotube (BNNT) surrounded by an elastic matrix, Composite Structures, 143, 2016, pp. 300-309.
[34] Mercan, K., A Comparative Buckling Analysis of Silicon Carbide Nanotube and Boron Nitride Nanotube, International Journal of Engineering & Applied Sciences, 8(4), 2016, pp. 99-107.
[35] Demir, Ç., Nonlocal Vibration Analysis for Micro/Nano Beam on Winkler Foundation via DTM, International Journal of Engineering & Applied Sciences, 8(4), 2016, pp. 108-118.
[36] Demir, Ç., Civalek, Ö., Nonlocal finite element formulation for vibration, International Journal of Engineering & Applied Sciences, 8, 2016, pp. 109-117.
[37] Pradhan, S.C., Nonlocal finite element analysis and small scale effects of CNTs with Timoshenko beam theory, Finite Elements in Analysis and Design, 50, 2012, pp. 8-20.
[38] Demir, Ç., Civalek, Ö., A new nonlocal FEM via Hermitian cubic shape functions for thermal vibration of nano beams surrounded by an elastic matrix, Composite Structures, 168, 2017, pp. 872-884.
[39] Mahmoud, F.F., Eltaher, M.A., Alshorbagy, A.E., Meletis, E.I., Static analysis of nanobeams including surface effects by nonlocal finite element, Journal of Mechanical Science and Technology, 26(11), 2012, pp. 3555-3563.
[40] Ansari, R., Rajabiehfard, R., Arash, B., Nonlocal finite element model for vibrations of embedded multi-layered graphene sheets, Computational Materials Science, 49(4), 2010, pp. 831-838.
[41] Phadikar, J.K., Pradhan, S.C., Variational formulation and finite element analysis for nonlocal elastic nanobeams and nanoplates, Computational Materials Science, 49(3), 2010, pp. 492-499.
[42] Eltaher, M.A., Alshorbagy, A.E., Mahmoud, F.F., Vibration analysis of Euler-Bernoulli nanobeams by using finite element method, Applied Mathematical Modelling, 37(7), 2013, pp. 4787-4797.
[43] Civalek, Ö., Demir, C., A simple mathematical model of microtubules surrounded by an elastic matrix by nonlocal finite element method, Applied Mathematics and Computation, 289, 2016,pp. 335-352.
[44] Alshorbagy, A.E., Eltaher, M.A., Mahmoud, F.F., Static analysis of nanobeams using nonlocal FEM, Journal of Mechanical Science and Technology, 27(7), 2013, pp. 2035-2041.
[45] Thai, H.T., A nonlocal beam theory for bending, buckling, and vibration of nanobeams, International Journal of Engineering Science, 52, 2012, pp. 56-64.