Ball P. Roll up for the revolution. Nature. 414(6860), 2001, 142-4.
 Baughman RH, Zakhidov AA, De Heer WA. Carbon nanotubes-the route toward applications. Science. 297(5582), 2002, 787-92.
 Bodily B, Sun C. Structural and equivalent continuum properties of single-walled carbon nanotubes. International Journal of Materials and Product Technology. 18(4-6), 2003, 381-97.
 Li C, Chou T-W. A structural mechanics approach for the analysis of carbon nanotubes. International Journal of Solids and Structures. 40(10), 2003, 2487-99.
 Li C, Chou T-W. Single-walled carbon nanotubes as ultrahigh frequency nanomechanical resonators. Physical review B. 68(7), 2003, 073405.
 Pradhan S, Phadikar J. Nonlinear analysis of carbon nanotubes, Proceedings of Fifth International Conference on Smart Materials. Structures and Systems, Indian Institute of Science, Bangalore. 2008, 24-6.
 Wang C, Tan V, Zhang Y. Timoshenko beam model for vibration analysis of multi-walled carbon nanotubes. Journal of Sound and Vibration. 294(4-5), 2006, 1060-72.
 Chong A, Yang F, Lam DC, Tong P. Torsion and bending of micron-scaled structures. Journal of Materials Research. 16(4), 2001, 1052-8.
 Fleck N, Muller G, Ashby M, Hutchinson J. Strain gradient plasticity: theory and experiment. Acta Metallurgica et Materialia. 42(2), 1994, 475-87.
 Eringen AC. On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves. Journal of Applied Physics. 54(9), 1983, 4703-10.
 Eringen AC. Linear theory of nonlocal elasticity and dispersion of plane waves. International Journal of Engineering Science. 10(5), 1972, 425-35.
 Moory-Shirbani M, Sedighi HM, Ouakad HM, Najar F. Experimental and mathematical analysis of a piezoelectrically actuated multilayered imperfect microbeam subjected to applied electric potential. Composite Structures. 184, 2018, 950-60.
 Chen M. Large Deflection of a Cantilever Nanobeam under a Vertical End Load. Applied Mechanics and Materials. 353-356, 2013, 3387-90.
 Murmu T, Adhikari S. Scale-dependent vibration analysis of prestressed carbon nanotubes undergoing rotation. Journal of Applied Physics. 108(12), 2010, 123507.
 Shishesaz M, Hosseini M, Mechanical behavior of functionally graded nano-cylinders under radial pressure based on strain gradient theory. Journal of Mechanics, 2018, doi: https://doi.org/10.1017/jmech.2018.10.
 Wang K, Kitamura T, Wang B. Nonlinear pull-in instability and free vibration of micro/nanoscale plates with surface energy–a modified couple stress theory model. International Journal of Mechanical Sciences. 99, 2015, 288-96.
 Tahani M, Askari AR, Mohandes Y, Hassani B. Size-dependent free vibration analysis of electrostatically pre-deformed rectangular micro-plates based on the modified couple stress theory. International Journal of Mechanical Sciences. 94, 2015, 185-98.
 Hosseini M, Shishesaz M, Thermoelastic analysis of rotating functionally graded micro/nanodisks of variable thickness. Thin-Walled Structures, 134, 2019, 508–523.
 Mohammadi M,
Hosseini M, Shishesaz M, Hadi A, Rastgoo A, Primary and secondary resonance analysis of porous functionally graded nanobeam resting on a nonlinear foundation subjected to mechanical and electrical loads. European Journal of Mechanics
, 77, 2019, 103793.
 Ma H, Gao X-L, Reddy J. A non-classical Mindlin plate model based on a modified couple stress theory. Acta Mechanica. 220(1-4), 2011, 217-35.
 Mohammadi M, Ghayour M, Farajpour A. Free transverse vibration analysis of circular and annular graphene sheets with various boundary conditions using the nonlocal continuum plate model. Composites Part B: Engineering. 45(1), 2013, 32-42.
 Wang Y-G, Lin W-H, Liu N. Large amplitude free vibration of size-dependent circular microplates based on the modified couple stress theory. International Journal of Mechanical Sciences. 71, 2013, 51-7.
 Kiani K. Nonlocal continuum-based modeling of a nanoplate subjected to a moving nanoparticle. Part I: Theoretical formulations. Physica E: Low-dimensional Systems and Nanostructures. 44(1), 2011, 229-48.
 Kiani K. Nonlocal continuum-based modeling of a nanoplate subjected to a moving nanoparticle. Part II: Parametric studies. Physica E: Low-dimensional Systems and Nanostructures. 44(1), 2011, 249-69.
 Kiani K. Small-scale effect on the vibration of thin nanoplates subjected to a moving nanoparticle via nonlocal continuum theory. Journal of Sound and Vibration. 330(20), 2011, 4896-914.
 Salehipour H, Nahvi H, Shahidi A. Exact analytical solution for free vibration of functionally graded micro/nanoplates via three-dimensional nonlocal elasticity. Physica E: Low-dimensional Systems and Nanostructures. 66, 2015, 350-8.
 Ansari R, Shahabodini A, Shojaei MF. Nonlocal three-dimensional theory of elasticity with application to free vibration of functionally graded nanoplates on elastic foundations. Physica E: Low-dimensional Systems and Nanostructures. 76, 2016, 70-81.
 Shishesaz M, Shariati M, Yaghootian A, Alizadeh A. Nonlinear Vibration Analysis of Nano-Disks Based on Nonlocal Elasticity Theory Using Homotopy Perturbation Method. International Journal of Applied Mechanics. 2019, doi: 10.1142/S175882511950011X.
 Li C. A nonlocal analytical approach for torsion of cylindrical nanostructures and the existence of higher-order stress and geometric boundaries. Composite Structures. 118, 2014, 607-21.
 Li C, Yao L, Chen W, Li S. Comments on nonlocal effects in nano-cantilever beams. International Journal of Engineering Science. 87, 2015, 47-57.
 Shen J, Li C. A semi-continuum-based bending analysis for extreme-thin micro/nano-beams and new proposal for nonlocal differential constitution. Composite Structures. 172, 2017, 210-20.
 Adomian G. Nonlinear Stochastic Operator Equations: Acad. press. Can Diego, CA. 1986.
 Adomian G. Solving Frontier Problems of Physics: The Decomposition MethodKluwer. Boston, MA. 1994.
 Abboui K, Cherruault Y. New ideas for proving convergence of decomposition methods. Computational and Applied Mathematics. 29(7), 1995, 103-5.
 Adomian G, Rach R. Noise terms in decomposition solution series. Computers & Mathematics with Applications. 24(11), 1992, 61-4.
 Babolian E, Biazar J. On the order of convergence of Adomian method. Applied Mathematics and Computation. 130(2-3), 2002, 383-7.
 Cherruault Y. Convergence of Adomian's method. Kybernetes. 18(2), 1989, 31-8.
 Cherruault Y, Adomian G, Abbaoui K, Rach R. Further remarks on convergence of decomposition method. International Journal of Bio-Medical Computing. 38(1), 1995, 89-93.
 Hosseini MM, Nasabzadeh H. On the convergence of Adomian decomposition method. Applied Mathematics and Computation. 182(1), 2006, 536-43.
 Hsu J-C, Lai H-Y. An innovative eigenvalue problem solver for free vibration of uniform Timoshenko beams by using the Adomian modified decomposition method. Journal of Sound and Vibration. 325(1), 2009, 451-70.
 Hsu J-C, Lai H-Y, Chen Co-K. Free vibration of non-uniform Euler–Bernoulli beams with general elastically end constraints using Adomian modified decomposition method. Journal of Sound and Vibration. 318(4), 2008, 965-81.
 Mao Q, Pietrzko S. Design of shaped piezoelectric modal sensor for beam with arbitrary boundary conditions by using Adomian decomposition method. Journal of Sound and Vibration. 329(11), 2010, 2068-82.
 Mao Q, Pietrzko S. Free vibration analysis of stepped beams by using Adomian decomposition method. Applied Mathematics and Computation. 217(7), 2010, 3429-41.
 Mao Q, Pietrzko S. Free vibration analysis of a type of tapered beams by using Adomian decomposition method. Applied Mathematics and Computation. 219(6), 2012, 3264-71.
 Jamali M, Shojaee T, Kolahchi R, Mohammadi B. Buckling analysis of nanocomposite cut out plate using domain decomposition method and orthogonal polynomials. Steel and Composite Structures. 22(3), 2016, 691-712.
 Karlicic D, Murmu T, Adhikari S, McCarthy M. Non-local structural mechanics: John Wiley & Sons; 2015.
 Wang Q, Han Q, Wen B. Estimate of material property of carbon nanotubes via nonlocal elasticity. Advances in Theoretical and Applied Mechanics. 1(1), 2008, 1-10.
 Wang Q, Wang C. The constitutive relation and small scale parameter of nonlocal continuum mechanics for modelling carbon nanotubes. Nanotechnology. 18(7), 2007, 075702.
 Duan W, Wang C, Zhang Y. Calibration of nonlocal scaling effect parameter for free vibration of carbon nanotubes by molecular dynamics. Journal of Applied Physics. 101(2), 2007, 024305.
 Li C, Lai S, Yang X. On the nano-structural dependence of nonlocal dynamics and its relationship to the upper limit of nonlocal scale parameter. Applied Mathematical Modelling. 69, 2019, 127-41.
 Shodja H, Ahmadpoor F, Tehranchi A. Calculation of the additional constants for fcc materials in second strain gradient elasticity: behavior of a nano-size Bernoulli-Euler beam with surface effects. Journal of Applied Mechanics. 79(2), 2012, 021008.
 Timoshenko SP, Woinowsky-Krieger S. Theory of plates and shells: McGraw-hill; 1959.
 Reddy JN. Mechanics of laminated composite plates and shells: theory and analysis: CRC press; 2004.
 Wazwaz A-M. A reliable modification of Adomian decomposition method. Applied Mathematics and Computation. 102(1), 1999, 77-86.
 Wazwaz A-M. Partial differential equations and solitary waves theory: Springer Science & Business Media; 2010.
 Leissa AW. Vibration of Plates, Office of Technology Utilization. National Aeronautics and Space Administration, Washington, DC. 1969.