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172. Yin, L., Qian, Q., Wang, L., Xia, W.: Vibration analysis of microscale plates based on modified
couple stress theory. Acta Mech. Solida. Sin. 23, 386–393 (2010)
173. Jomehzadeh, E., Noori, H.R., Saidi, A.R.: The size-dependent vibration analysis of microplates based on a modified couple stress theory. Phys E. 43, 877–883 (2011)
174. Akgoz, B., Civalek, O.: Free vibration analysis for single-layered graphene sheets in an elastic
matrix via modified couple stress theory. Mater Des. 42, 164–171 (2012)
175. Akgoz, B., Civalek, O.: Modeling and analysis of micro-sized plates resting on elastic medium
using the modified couple stress theory. Mecc. 48, 863–873 (2013)
176. Askari, A.R., Tahani, M.: Analytical determination of size-dependent natural frequencies of
fully clamped rectangular microplates based on the modified couple stress theory. J. Mech.
Sci. Technol. 29, 2135–2145 (2015)
177. Simsek, M., Aydn, M., Yurtcu, H.H., Reddy, J.N.: Size-dependent vibration of a microplate
under the action of a moving load based on the modified couple stress theory. Acta Mech.
226, 3807–3822 (2015)
178. Zhou, X., Wang, L., Qin, P.: Free vibration of micro- and nano-shells based on modified
couple stress theory. J. Comput. Theor. Nanosci. 9, 814–828 (2012)
179. Asghari, M.: Geometrically nonlinear micro-plate formulation based on the modified couple
stress theory. Int. J. Eng. Sci. 51, 292–309 (2012)
180. Wang, Y.G., Lin, W.H., Liu, N.: Large amplitude free vibration of size-dependent circular
microplates based on the modified couple stress theory. Int. J. Mech. Sci. 71, 51–57 (2013)
181. Wang, Y.G., Lin, W.H., Zhou, C.L.: Nonlinear bending of size-dependent circular microplates
based on the modified couple stress theory. Arch. Appl. Mech. 84, 391–400 (2014)
182. Farokhi, H., Ghayesh, M.H.: Nonlinear dynamical behaviour of geometrically imperfect
microplates based on modified couple stress theory. Int. J. Mech. Sci. 90, 133–144 (2015)
183. Ke, L.L., Yang, J., Kitipornchai, S., Bradford, M.A.: Bending, buckling and vibration of sizedependent functionally graded annular microplates. Compos. Struct. 94, 3250–3257 (2012)
184. Asghari, M., Taati, E.: A size-dependent model for functionally graded micro-plates for
mechanical analyses. J. Vib. Control. 19, 1614–1632 (2013)
185. Ashoori, A.R., Sadough Vanini, S.A.: Thermal buckling of annular microstructure-dependent
functionally graded material plates resting on an elastic medium. Compos. B Eng. 87, 245–253
(2016)
186. Ashoori, A.R., Sadough Vanini, S.A.: Nonlinear thermal stability and snap-through behavior
of circular microstructure-dependent FGM plates. Eur. J. Mech. A Solids. 59, 323–332 (2016)
187. Taati, E.: Analytical solutions for the size dependent buckling and postbuckling behavior of
functionally graded micro-plates. Int. J. Eng. Sci. 100, 45–60 (2016)
188. Beni, Y.T., Mehralian, F., Zeighampour, H.: The modified couple stress functionally graded
cylindrical thin shell formulation. Mech. Adv. Mater. Struct. 23, 791–801 (2016)
189. Tsiatas, G.C., Yiotis, A.J.: Size effect on the static, dynamic and buckling analysis of
orthotropic Kirchhoff-type skew micro-plates based on a modified couple stress theory: comparison with the nonlocal elasticity theory. Acta Mech. 226, 1267–1281 (2015)
190. Kong, S., Zhou, S., Nie, Z., Wang, K.: Static and dynamic analysis of micro beams based on
strain gradient elasticity theory. Int. J. Eng. Sci. 47, 487–498 (2009)
191. Akgoz, B., Civalek, O.: Strain gradient elasticity and modified couple stress models for buckling analysis of axially loaded micro-scaled beams. Int. J. Eng. Sci. 49, 1268–1280 (2011)
192. Akgoz, B., Civalek, O.: Buckling analysis of cantilever carbon nanotubes using the strain
gradient elasticity and modified couple stress theories. J. Comput. Theor. Nanosci. 8, 1821–
1827 (2011)
193. Akgoz, B., Civalek, O.: Investigation of size effects on static response of single-walled carbon
nanotubes based on strain gradient elasticity. Int. J. Comput. Meth. 9, 1240032–19 (2012)
194. Akgoz, B., Civalek, O.: Buckling analysis of linearly tapered micro-Columns based on strain
gradient elasticity. Struct. Eng. Mech. 48, 195–205 (2013)
195. Akgoz, B., Civalek, O.: Longitudinal vibration analysis for microbars based on strain gradient
elasticity theory. J. Vib. Control. 20, 606–616 (2014)
65
172. Yin, L., Qian, Q., Wang, L., Xia, W.: Vibration analysis of microscale plates based on modified
couple stress theory. Acta Mech. Solida. Sin. 23, 386–393 (2010)
173. Jomehzadeh, E., Noori, H.R., Saidi, A.R.: The size-dependent vibration analysis of microplates based on a modified couple stress theory. Phys E. 43, 877–883 (2011)
174. Akgoz, B., Civalek, O.: Free vibration analysis for single-layered graphene sheets in an elastic
matrix via modified couple stress theory. Mater Des. 42, 164–171 (2012)
175. Akgoz, B., Civalek, O.: Modeling and analysis of micro-sized plates resting on elastic medium
using the modified couple stress theory. Mecc. 48, 863–873 (2013)
176. Askari, A.R., Tahani, M.: Analytical determination of size-dependent natural frequencies of
fully clamped rectangular microplates based on the modified couple stress theory. J. Mech.
Sci. Technol. 29, 2135–2145 (2015)
177. Simsek, M., Aydn, M., Yurtcu, H.H., Reddy, J.N.: Size-dependent vibration of a microplate
under the action of a moving load based on the modified couple stress theory. Acta Mech.
226, 3807–3822 (2015)
178. Zhou, X., Wang, L., Qin, P.: Free vibration of micro- and nano-shells based on modified
couple stress theory. J. Comput. Theor. Nanosci. 9, 814–828 (2012)
179. Asghari, M.: Geometrically nonlinear micro-plate formulation based on the modified couple
stress theory. Int. J. Eng. Sci. 51, 292–309 (2012)
180. Wang, Y.G., Lin, W.H., Liu, N.: Large amplitude free vibration of size-dependent circular
microplates based on the modified couple stress theory. Int. J. Mech. Sci. 71, 51–57 (2013)
181. Wang, Y.G., Lin, W.H., Zhou, C.L.: Nonlinear bending of size-dependent circular microplates
based on the modified couple stress theory. Arch. Appl. Mech. 84, 391–400 (2014)
182. Farokhi, H., Ghayesh, M.H.: Nonlinear dynamical behaviour of geometrically imperfect
microplates based on modified couple stress theory. Int. J. Mech. Sci. 90, 133–144 (2015)
183. Ke, L.L., Yang, J., Kitipornchai, S., Bradford, M.A.: Bending, buckling and vibration of sizedependent functionally graded annular microplates. Compos. Struct. 94, 3250–3257 (2012)
184. Asghari, M., Taati, E.: A size-dependent model for functionally graded micro-plates for
mechanical analyses. J. Vib. Control. 19, 1614–1632 (2013)
185. Ashoori, A.R., Sadough Vanini, S.A.: Thermal buckling of annular microstructure-dependent
functionally graded material plates resting on an elastic medium. Compos. B Eng. 87, 245–253
(2016)
186. Ashoori, A.R., Sadough Vanini, S.A.: Nonlinear thermal stability and snap-through behavior
of circular microstructure-dependent FGM plates. Eur. J. Mech. A Solids. 59, 323–332 (2016)
187. Taati, E.: Analytical solutions for the size dependent buckling and postbuckling behavior of
functionally graded micro-plates. Int. J. Eng. Sci. 100, 45–60 (2016)
188. Beni, Y.T., Mehralian, F., Zeighampour, H.: The modified couple stress functionally graded
cylindrical thin shell formulation. Mech. Adv. Mater. Struct. 23, 791–801 (2016)
189. Tsiatas, G.C., Yiotis, A.J.: Size effect on the static, dynamic and buckling analysis of
orthotropic Kirchhoff-type skew micro-plates based on a modified couple stress theory: comparison with the nonlocal elasticity theory. Acta Mech. 226, 1267–1281 (2015)
190. Kong, S., Zhou, S., Nie, Z., Wang, K.: Static and dynamic analysis of micro beams based on
strain gradient elasticity theory. Int. J. Eng. Sci. 47, 487–498 (2009)
191. Akgoz, B., Civalek, O.: Strain gradient elasticity and modified couple stress models for buckling analysis of axially loaded micro-scaled beams. Int. J. Eng. Sci. 49, 1268–1280 (2011)
192. Akgoz, B., Civalek, O.: Buckling analysis of cantilever carbon nanotubes using the strain
gradient elasticity and modified couple stress theories. J. Comput. Theor. Nanosci. 8, 1821–
1827 (2011)
193. Akgoz, B., Civalek, O.: Investigation of size effects on static response of single-walled carbon
nanotubes based on strain gradient elasticity. Int. J. Comput. Meth. 9, 1240032–19 (2012)
194. Akgoz, B., Civalek, O.: Buckling analysis of linearly tapered micro-Columns based on strain
gradient elasticity. Struct. Eng. Mech. 48, 195–205 (2013)
195. Akgoz, B., Civalek, O.: Longitudinal vibration analysis for microbars based on strain gradient
elasticity theory. J. Vib. Control. 20, 606–616 (2014)