[1] Sari, M.S., Al-Kouz, W.G., Vibration analysis of non-uniform orthotropic Kirchhoff plates resting on elastic foundation based on nonlocal elasticity theory, *International Journal of Mechanical Sciences*, 114, 2016, pp. 1–11.

[2] Sakhaee-Pour, A., Ahmadian, M.T., Vafai, A., Applications of single-layered graphene sheets as mass sensors and atomistic dust detectors, *Solid State Communications*, 145, 2008, pp. 168–172.

[3] Arash, B., Wang, Q., A review on the application of nonlocal elastic models in modeling of carbon nanotubes and graphenes, *Computational Materials Science*, 51, 2012, pp. 303-313.

[4] Murmu, T., Pradhan, S.C., Vibration analysis of nano-single-layered graphene sheets embedded in elastic medium based on nonlocal elasticity theory, *Journal of Applied Physics*, 105, 2009, pp. 64319.

[5] Arash, B., Wang, Q., A Review on the Application of Nonlocal Elastic Models in Modeling of Carbon Nanotubes and Graphenes, *Modeling of Carbon Nanotubes, Graphene and their Composites*, Springer International Publishing, 2014, pp. 57–82.

[6] Mindlin, R.D., Eshel, N.N., On first strain-gradient theories in linear elasticity, *International Journal of Solids and Structures*, 4, 1968, pp. 109-124.

[7] Mindlin, R.D., Second gradient of strain and surface-tension in linear elasticity, *International Journal of Solids and Structures*, 1, 1965, pp. 417–438.

[8] Lam, D.C.C., Yang, F., Chong, A.C.M., Wang, J., Tong, P., Experiments and theory in strain gradient elasticity, *Journal of the Mechanics and Physics of Solids*, 51, 2003, pp. 1477–1508.

[9] Ramezani, S., A micro scale geometrically non-linear Timoshenko beam model based on strain gradient elasticity theory, *International Journal of Non-Linear Mechanics*, 47, 2012, pp. 863–873.

[10] Alibeigloo, A., Free vibration analysis of nano-plate using three-dimensional theory of elasticity, *Acta Mechanica*, 222, 2011, pp. 149-159.

[11] Şimşek, M., Dynamic analysis of an embedded microbeam carrying a moving microparticle based on the modified couple stress theory, *International Journal of Engineering Science*, 48, 2010, pp. 1721–1732.

[12] Sahmani, S., Ansari, R., Gholami, R., Darvizeh, A., Dynamic stability analysis of functionally graded higher-order shear deformable microshells based on the modified couple stress elasticity theory, *Composites Part B*, 51, 2013, pp. 44-53.

[13] Toupin, R.A., Theories of elasticity with couple-stress, *Archive for Rational Mechanics and Analysis*, 17(2), 1964, pp. 85–112.

[14] Yang, F., Chong, A.C.M., Lam, D.C.C., Tong, P., Couple stress based strain gradient theory for elasticity, *International Journal of Solids and Structures*, 39, 2002, pp. 2731–2743.

[15] Eringen, A.C., On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves, *Journal of Applied Physics*, 54, 1983, pp. 4703–4710.

[16] Peddieson, J., Buchanan, G.R., McNitt, R.P., Application of nonlocal continuum models to nanotechnology, *International Journal of Engineering Science*, 41, 2003, pp. 305–312.

[17] Lu, P., Lee, H.P., Lu, C., Zhang, P.Q., Application of nonlocal beam models for carbon nanotubes, *International Journal of Solids and Structures*, 44, 2007, pp. 5289–5300.

[18] Rahmani, O., Pedram, O., Analysis and modeling the size effect on vibration of functionally graded nanobeams based on nonlocal Timoshenko beam theory, *International Journal of Engineering Science*, 77, 2014, pp. 55–70.

[19] Şimşek, M., Nonlinear free vibration of a functionally graded nanobeam using nonlocal strain gradient theory and a novel Hamiltonian approach, *International Journal of Engineering Science*, 105, 2016, pp. 12–27.

[20] Hosseini-Hashemi, S., Bedroud, M., Nazemnezhad, R., An exact analytical solution for free vibration of functionally graded circular/annular Mindlin nanoplates via nonlocal elasticity, *Composite Structures*, 103, 2013, pp. 108–118.

[21] Belkorissat, I., Houari, MSA., Tounsi, A., Bedia, E.A.A., Mahmoud, S.R., On vibration properties of functionally graded nano-plate using a new nonlocal refined four variable model, *Steel and Composite Structures*, 18, 2015, pp. 1063–1081.

[22] Şimşek, M., Yurtcu, H.H., Analytical solutions for bending and buckling of functionally graded nanobeams based on the nonlocal Timoshenko beam theory, *Composite Structures*, 97, 2013, pp. 378–386.

[23] 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: Low-Dimensional Systems and Nanostructures*, 41, 2009, pp. 1232–1239.

[24] Aksencer, T., Aydogdu, M., Levy type solution method for vibration and buckling of nanoplates using nonlocal elasticity theory, *Physica E: Low-Dimensional Systems and Nanostructures*, 43, 2011, pp. 954-959.

[25] Narendar, S., Buckling analysis of micro-/nano-scale plates based on two-variable refined plate theory incorporating nonlocal scale effects, *Composite Structures*, 93, 2011, pp. 3093–3103.

[26] Farajpour, A., Mohammadi, M., Shahidi, A.R., Mahzoon, M., Axisymmetric buckling of the circular graphene sheets with the nonlocal continuum plate model, *Physica E: Low-Dimensional Systems and Nanostructures*, 43, 2011, pp. 1820–1825.

[27] Tornabene, F., Fantuzzi, N., Bacciocchi, M., The local GDQ method for the natural frequencies of doubly-curved shells with variable thickness: A general formulation, *Composites Part B*, 92, 2016, pp. 265–289.

[28] 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, 2012, pp. 1605–1615.

[29] Farajpour, A., Danesh, M., Mohammadi, M., Buckling analysis of variable thickness nanoplates using nonlocal continuum mechanics, *Physica E: Low-Dimensional Systems and Nanostructures*, 44, 2011, pp. 719–727.

[30] Danesh, M., Farajpour, A., Mohammadi, M., Axial vibration analysis of a tapered nanorod based on nonlocal elasticity theory and differential quadrature method, *Mechanics Research Communications*, 39, 2012, pp. 23–27.

[31] Şimşek, M., Nonlocal effects in the free longitudinal vibration of axially functionally graded tapered nanorods, *Computational Materials Science*, 61, 2012, pp. 257–265.

[32] Efraim, E., Eisenberger, M., Exact vibration analysis of variable thickness thick annular isotropic and FGM plates, *Journal of Sound and Vibration*, 299, 2007, pp. 720–738.

[33] Zhou, J.K., *Differential transformation and its applications for electrical circuits*, Huazhong University Press, Wuhan, China, 1986.

[34] Arikoglu, A., Ozkol, I., Vibration analysis of composite sandwich beams with viscoelastic core by using differential transform method, *Composite Structures*, 92, 2010, pp. 3031–3039.

[35] Mohammadi, M., Farajpour, A., Goodarzi, M., Shehni nezhad pour, H., Numerical study of the effect of shear in-plane load on the vibration analysis of graphene sheet embedded in an elastic medium, *Computational Materials Science*, 82, 2014, pp. 510–520.

[36] Pradhan, S.C., Phadikar, J.K., Small scale effect on vibration of embedded multilayered graphene sheets based on nonlocal continuum models, *Physics Letters A*, 373, 2009, pp. 1062–1069.

[37] Behfar, K., Naghdabadi, R., Nanoscale vibrational analysis of a multi-layered graphene sheet embedded in an elastic medium, *Composites Science and Technology*, 65, 2005, pp. 1159–1164.

[38] Mirzabeigy, A., Semi-analytical approach for free vibration analysis of variable cross-section beams resting on elastic foundation and under axial force, *International Journal of Engineering - Transactions C*, 27, 2013, pp. 385-394.

[39] Mohammadi, M., Goodarzi, M., Ghayour, M., Farajpour, A., Influence of in-plane pre-load on the vibration frequency of circular graphene sheet via nonlocal continuum theory, *Composites Part B*, 51, 2013, pp. 121–129.

[40] Karimi, M., Shahidi, A.R., Nonlocal, refined plate, and surface effects theories used to analyze free vibration of magnetoelectroelastic nanoplates under thermo-mechanical and shear loadings, *Applied Physics A*, 123(5), 2017, pp. 304.

[41] Karimi, M., Haddad, H.A., Shahidi, A.R., Combining surface effects and non-local two variable refined plate theories on the shear/biaxial buckling and vibration of silver nanoplates, *Micro and Nano Letters*, 10, 2015, pp. 276–281.

[42] Karimi, M., Shahidi, A.R., Ziaei-Rad, S, Surface layer and nonlocal parameter effects on the in-phase and out-of-phase natural frequencies of a double-layer piezoelectric nanoplate under thermo-electro-mechanical loadings, *Microsystem Technologies*, 23(10), 2017, pp. 4903–4915.

[43] Karimi, M., Mirdamadi, H.R, Shahidi, A.R., Positive and negative surface effects on the buckling and vibration of rectangular nanoplates under biaxial and shear in–plane loadings based on nonlocal elasticity theory, *Journal of the Brazilian Society of Mechanical Sciences and Engineering*, 39, 2017, pp. 1391–1404.

[44] Shokrani, M.H., Karimi, M., Tehrani, M.S., Mirdamadi, H.R., Buckling analysis of double-orthotropic nanoplates embedded in elastic media based on non-local two-variable refined plate theory using the GDQ method, *Journal of the Brazilian Society of Mechanical Sciences and Engineering*, 38, 2016, pp. 2589–2606.

[45] Karimi, M., Mirdamadi, H.R., Shahidi, A.R., Shear vibration and buckling of double-layer orthotropic nanoplates based on RPT resting on elastic foundations by DQM including surface effects, *Microsystem Technologies*, 23, 2017, pp. 765–797.

[46] 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.

[47] Asemi, S.R., Farajpour, A., Asemi, H.R., Mohammadi, M., Influence of initial stress on the vibration of double-piezoelectric-nanoplate systems with various boundary conditions using DQM, *Physica E*, 63, 2014, pp. 169-179.

[48] Liu, C., Ke, L.L., Wang, Y.S., Yang, J., Kitipornchai, S., Buckling and post-buckling analyses of size-dependent piezoelectric nanoplates, *Theoretical and Applied Mechanics Letters*, 6(6), 2016, pp. 253-267.

[49] Mohammadi, M, Moradi, A., Ghayour, M., Farajpour, A., Exact solution for thermo-mechanical vibration of orthotropic mono-layer graphene sheet embedded in an elastic medium, *Latin American Journal of Solids and Structures*, 11(3), 2014, pp. 437-458.

[50] Ke, L.L., Liu, C., Wang, Y.S., Free vibration of nonlocal piezoelectric nanoplates under various boundary conditions, *Physica E: Low-dimensional Systems and Nanostructures*, 66, 20415, pp. 93-106.

[51] Malekzadeh, P., Farajpour, A., Axisymmetric free and forced vibrations of initially stressed circular nanoplates embedded in an elastic medium, *Acta Mechanica*, 223, 2012, pp. 2311–2330.

[52] Bedroud, M., Hosseini-Hashemi, S., Nazemnezhad, R., Buckling of circular/annular Mindlin nanoplates via nonlocal elasticity, *Acta Mechanica*, 224, 2013, pp. 2663–2676.

[53] Anjomshoa, A., Application of Ritz functions in buckling analysis of embedded orthotropic circular and elliptical micro/nano-plates based on nonlocal elasticity theory, *Meccanica*, 48, 2013, pp. 1337-1353.

[54] Singh, B., Saxena, V., Axisymmetric vibration of a circular plate with double linear variable thickness, *Journal of Sound and Vibration*, 179, 1995, pp. 879–897.

[55] Liew, K.M., He, X.Q., Kitipornchai, S., Predicting nanovibration of multi-layered graphene sheets embedded in an elastic matrix, *Acta Materialia*, 54, 2006, pp. 4229–4236.

[56] 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*, 45, 2013, pp. 32–42.

[1] Sari, M.S., Al-Kouz, W.G., Vibration analysis of non-uniform orthotropic Kirchhoff plates resting on elastic foundation based on nonlocal elasticity theory, *International Journal of Mechanical Sciences*, 114, 2016, pp. 1–11.

[2] Sakhaee-Pour, A., Ahmadian, M.T., Vafai, A., Applications of single-layered graphene sheets as mass sensors and atomistic dust detectors, *Solid State Communications*, 145, 2008, pp. 168–172.

[3] Arash, B., Wang, Q., A review on the application of nonlocal elastic models in modeling of carbon nanotubes and graphenes, *Computational Materials Science*, 51, 2012, pp. 303-313.

[4] Murmu, T., Pradhan, S.C., Vibration analysis of nano-single-layered graphene sheets embedded in elastic medium based on nonlocal elasticity theory, *Journal of Applied Physics*, 105, 2009, pp. 64319.

[5] Arash, B., Wang, Q., A Review on the Application of Nonlocal Elastic Models in Modeling of Carbon Nanotubes and Graphenes, *Modeling of Carbon Nanotubes, Graphene and their Composites*, Springer International Publishing, 2014, pp. 57–82.

[6] Mindlin, R.D., Eshel, N.N., On first strain-gradient theories in linear elasticity, *International Journal of Solids and Structures*, 4, 1968, pp. 109-124.

[7] Mindlin, R.D., Second gradient of strain and surface-tension in linear elasticity, *International Journal of Solids and Structures*, 1, 1965, pp. 417–438.

[8] Lam, D.C.C., Yang, F., Chong, A.C.M., Wang, J., Tong, P., Experiments and theory in strain gradient elasticity, *Journal of the Mechanics and Physics of Solids*, 51, 2003, pp. 1477–1508.

[9] Ramezani, S., A micro scale geometrically non-linear Timoshenko beam model based on strain gradient elasticity theory, *International Journal of Non-Linear Mechanics*, 47, 2012, pp. 863–873.

[10] Alibeigloo, A., Free vibration analysis of nano-plate using three-dimensional theory of elasticity, *Acta Mechanica*, 222, 2011, pp. 149-159.

[11] Şimşek, M., Dynamic analysis of an embedded microbeam carrying a moving microparticle based on the modified couple stress theory, *International Journal of Engineering Science*, 48, 2010, pp. 1721–1732.

[12] Sahmani, S., Ansari, R., Gholami, R., Darvizeh, A., Dynamic stability analysis of functionally graded higher-order shear deformable microshells based on the modified couple stress elasticity theory, *Composites Part B*, 51, 2013, pp. 44-53.

[13] Toupin, R.A., Theories of elasticity with couple-stress, *Archive for Rational Mechanics and Analysis*, 17(2), 1964, pp. 85–112.

[14] Yang, F., Chong, A.C.M., Lam, D.C.C., Tong, P., Couple stress based strain gradient theory for elasticity, *International Journal of Solids and Structures*, 39, 2002, pp. 2731–2743.

[15] Eringen, A.C., On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves, *Journal of Applied Physics*, 54, 1983, pp. 4703–4710.

[16] Peddieson, J., Buchanan, G.R., McNitt, R.P., Application of nonlocal continuum models to nanotechnology, *International Journal of Engineering Science*, 41, 2003, pp. 305–312.

[17] Lu, P., Lee, H.P., Lu, C., Zhang, P.Q., Application of nonlocal beam models for carbon nanotubes, *International Journal of Solids and Structures*, 44, 2007, pp. 5289–5300.

[18] Rahmani, O., Pedram, O., Analysis and modeling the size effect on vibration of functionally graded nanobeams based on nonlocal Timoshenko beam theory, *International Journal of Engineering Science*, 77, 2014, pp. 55–70.

[19] Şimşek, M., Nonlinear free vibration of a functionally graded nanobeam using nonlocal strain gradient theory and a novel Hamiltonian approach, *International Journal of Engineering Science*, 105, 2016, pp. 12–27.

[20] Hosseini-Hashemi, S., Bedroud, M., Nazemnezhad, R., An exact analytical solution for free vibration of functionally graded circular/annular Mindlin nanoplates via nonlocal elasticity, *Composite Structures*, 103, 2013, pp. 108–118.

[21] Belkorissat, I., Houari, MSA., Tounsi, A., Bedia, E.A.A., Mahmoud, S.R., On vibration properties of functionally graded nano-plate using a new nonlocal refined four variable model, *Steel and Composite Structures*, 18, 2015, pp. 1063–1081.

[22] Şimşek, M., Yurtcu, H.H., Analytical solutions for bending and buckling of functionally graded nanobeams based on the nonlocal Timoshenko beam theory, *Composite Structures*, 97, 2013, pp. 378–386.

[23] 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: Low-Dimensional Systems and Nanostructures*, 41, 2009, pp. 1232–1239.

[24] Aksencer, T., Aydogdu, M., Levy type solution method for vibration and buckling of nanoplates using nonlocal elasticity theory, *Physica E: Low-Dimensional Systems and Nanostructures*, 43, 2011, pp. 954-959.

[25] Narendar, S., Buckling analysis of micro-/nano-scale plates based on two-variable refined plate theory incorporating nonlocal scale effects, *Composite Structures*, 93, 2011, pp. 3093–3103.

[26] Farajpour, A., Mohammadi, M., Shahidi, A.R., Mahzoon, M., Axisymmetric buckling of the circular graphene sheets with the nonlocal continuum plate model, *Physica E: Low-Dimensional Systems and Nanostructures*, 43, 2011, pp. 1820–1825.

[27] Tornabene, F., Fantuzzi, N., Bacciocchi, M., The local GDQ method for the natural frequencies of doubly-curved shells with variable thickness: A general formulation, *Composites Part B*, 92, 2016, pp. 265–289.

[28] 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, 2012, pp. 1605–1615.

[29] Farajpour, A., Danesh, M., Mohammadi, M., Buckling analysis of variable thickness nanoplates using nonlocal continuum mechanics, *Physica E: Low-Dimensional Systems and Nanostructures*, 44, 2011, pp. 719–727.

[30] Danesh, M., Farajpour, A., Mohammadi, M., Axial vibration analysis of a tapered nanorod based on nonlocal elasticity theory and differential quadrature method, *Mechanics Research Communications*, 39, 2012, pp. 23–27.

[31] Şimşek, M., Nonlocal effects in the free longitudinal vibration of axially functionally graded tapered nanorods, *Computational Materials Science*, 61, 2012, pp. 257–265.

[32] Efraim, E., Eisenberger, M., Exact vibration analysis of variable thickness thick annular isotropic and FGM plates, *Journal of Sound and Vibration*, 299, 2007, pp. 720–738.

[33] Zhou, J.K., *Differential transformation and its applications for electrical circuits*, Huazhong University Press, Wuhan, China, 1986.

[34] Arikoglu, A., Ozkol, I., Vibration analysis of composite sandwich beams with viscoelastic core by using differential transform method, *Composite Structures*, 92, 2010, pp. 3031–3039.

[35] Mohammadi, M., Farajpour, A., Goodarzi, M., Shehni nezhad pour, H., Numerical study of the effect of shear in-plane load on the vibration analysis of graphene sheet embedded in an elastic medium, *Computational Materials Science*, 82, 2014, pp. 510–520.

[36] Pradhan, S.C., Phadikar, J.K., Small scale effect on vibration of embedded multilayered graphene sheets based on nonlocal continuum models, *Physics Letters A*, 373, 2009, pp. 1062–1069.

[37] Behfar, K., Naghdabadi, R., Nanoscale vibrational analysis of a multi-layered graphene sheet embedded in an elastic medium, *Composites Science and Technology*, 65, 2005, pp. 1159–1164.

[38] Mirzabeigy, A., Semi-analytical approach for free vibration analysis of variable cross-section beams resting on elastic foundation and under axial force, *International Journal of Engineering - Transactions C*, 27, 2013, pp. 385-394.

[39] Mohammadi, M., Goodarzi, M., Ghayour, M., Farajpour, A., Influence of in-plane pre-load on the vibration frequency of circular graphene sheet via nonlocal continuum theory, *Composites Part B*, 51, 2013, pp. 121–129.

[40] Karimi, M., Shahidi, A.R., Nonlocal, refined plate, and surface effects theories used to analyze free vibration of magnetoelectroelastic nanoplates under thermo-mechanical and shear loadings, *Applied Physics A*, 123(5), 2017, pp. 304.

[41] Karimi, M., Haddad, H.A., Shahidi, A.R., Combining surface effects and non-local two variable refined plate theories on the shear/biaxial buckling and vibration of silver nanoplates, *Micro and Nano Letters*, 10, 2015, pp. 276–281.

[42] Karimi, M., Shahidi, A.R., Ziaei-Rad, S, Surface layer and nonlocal parameter effects on the in-phase and out-of-phase natural frequencies of a double-layer piezoelectric nanoplate under thermo-electro-mechanical loadings, *Microsystem Technologies*, 23(10), 2017, pp. 4903–4915.

[43] Karimi, M., Mirdamadi, H.R, Shahidi, A.R., Positive and negative surface effects on the buckling and vibration of rectangular nanoplates under biaxial and shear in–plane loadings based on nonlocal elasticity theory, *Journal of the Brazilian Society of Mechanical Sciences and Engineering*, 39, 2017, pp. 1391–1404.

[44] Shokrani, M.H., Karimi, M., Tehrani, M.S., Mirdamadi, H.R., Buckling analysis of double-orthotropic nanoplates embedded in elastic media based on non-local two-variable refined plate theory using the GDQ method, *Journal of the Brazilian Society of Mechanical Sciences and Engineering*, 38, 2016, pp. 2589–2606.

[45] Karimi, M., Mirdamadi, H.R., Shahidi, A.R., Shear vibration and buckling of double-layer orthotropic nanoplates based on RPT resting on elastic foundations by DQM including surface effects, *Microsystem Technologies*, 23, 2017, pp. 765–797.

[46] 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.

[47] Asemi, S.R., Farajpour, A., Asemi, H.R., Mohammadi, M., Influence of initial stress on the vibration of double-piezoelectric-nanoplate systems with various boundary conditions using DQM, *Physica E*, 63, 2014, pp. 169-179.

[48] Liu, C., Ke, L.L., Wang, Y.S., Yang, J., Kitipornchai, S., Buckling and post-buckling analyses of size-dependent piezoelectric nanoplates, *Theoretical and Applied Mechanics Letters*, 6(6), 2016, pp. 253-267.

[49] Mohammadi, M, Moradi, A., Ghayour, M., Farajpour, A., Exact solution for thermo-mechanical vibration of orthotropic mono-layer graphene sheet embedded in an elastic medium, *Latin American Journal of Solids and Structures*, 11(3), 2014, pp. 437-458.

[50] Ke, L.L., Liu, C., Wang, Y.S., Free vibration of nonlocal piezoelectric nanoplates under various boundary conditions, *Physica E: Low-dimensional Systems and Nanostructures*, 66, 20415, pp. 93-106.

[51] Malekzadeh, P., Farajpour, A., Axisymmetric free and forced vibrations of initially stressed circular nanoplates embedded in an elastic medium, *Acta Mechanica*, 223, 2012, pp. 2311–2330.

[52] Bedroud, M., Hosseini-Hashemi, S., Nazemnezhad, R., Buckling of circular/annular Mindlin nanoplates via nonlocal elasticity, *Acta Mechanica*, 224, 2013, pp. 2663–2676.

[53] Anjomshoa, A., Application of Ritz functions in buckling analysis of embedded orthotropic circular and elliptical micro/nano-plates based on nonlocal elasticity theory, *Meccanica*, 48, 2013, pp. 1337-1353.

[54] Singh, B., Saxena, V., Axisymmetric vibration of a circular plate with double linear variable thickness, *Journal of Sound and Vibration*, 179, 1995, pp. 879–897.

[55] Liew, K.M., He, X.Q., Kitipornchai, S., Predicting nanovibration of multi-layered graphene sheets embedded in an elastic matrix, *Acta Materialia*, 54, 2006, pp. 4229–4236.

[56] 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*, 45, 2013, pp. 32–42.