70
2 Size-Dependent Theories of Beams, Plates and Shells
289. Anjomshoa, A., Tahani, M.: Vibration analysis of orthotropic circular and elliptical nanoplates embedded in elastic medium based on nonlocal Mindlin plate theory and using Galerkin
method. J. Mech. Sci. Technol. 30, 2463–2474 (2016)
290. Golmakani, M.E., Rezatalab, J.: Nonlinear bending analysis of orthotropic nanoscale plates
in an elastic matrix based on nonlocal continuum mechanics. Compos. Struct. 111, 85–97
(2014)
291. Dastjerdi, S., Jabbarzadeh, M., Aliabadi, S.: Nonlinear static analysis of single layer annular/circular graphene sheets embedded in Winkler-Pasternak elastic matrix based on non-local
theory of Eringen. Ain. Shams. Eng. J. 7, 873–884 (2016)
292. Dastjerdi, S., Jabbarzadeh, M.: Non-linear bending analysis of multi-layer orthotropic annular/circular graphene sheets embedded in elastic matrix in thermal environment based on
non-local elasticity theory. Appl. Math. Model. 41, 83–101 (2017)
293. Ma, H.M., Gao, X.-L., Reddy, J.N.: A microstructure-dependent Timoshenko beam model
based on a modified couple stress theory. J. Mech. Phys. Sol. 56, 3379–3396 (2008)
294. Asghari, M., Kahrobaiyan, M.H., Rahaeifard, M., Ahmadian, M.T.: Investigation of the size
effects in Timoshenko beams based on the couple stress theory. Arch. Appl. Mech. 81, 863–
874 (2011)
295. Dos Santos, J.V.A., Reddy, J.N.: Free vibration and buckling analysis of beams with a modified
couple- stress theory. Int. J. Appl. Mech. 4, 1250026–28 (2012)
296. Dehrouyeh-Semnani, A.M., Nikkhah-Bahrami, M.: A discussion on incorporating the Poisson
effect in microbeam models based on modified couple stress theory. Int. J. Eng. Sci. 86, 20–25
(2015)
297. Liu, Y.P., Reddy, J.N.: A nonlocal curved beam model based on a modified copled stress
theory. Int. J. Str. Stab. Dyn. 11, 495–512 (2011)
298. Taati, E., Molaei Najafabadi, M.M., Basirat Tabrizi, H.: Size-dependent generalized thermoelasticity model for Timoshenko microbeams. Acta Mech. 225(7), 1823–1842 (2014)
299. Asghari, M., Kahrobaiyan, M.H., Ahmadian, M.T.: A nonlinear Timoshenko beam formulation based on the modified couple stress theory. Int. J. Eng. Sci. 48, 1749–1766 (2010)
300. Ghayesh, M.H., Farokhi, H., Amabili, M.: Nonlinear dynamics of a microscale beam based
on the modified couple stress theory. Compos. B Eng. 50, 318–324 (2013)
301. Ghayesh, M.H., Amabili, M., Farokhi, H.: Three-dimensional nonlinear size-dependent
behaviour of Timoshenko microbeams. Int. J. Eng. Sci. 71, 1–14 (2013)
302. Reddy, J.N.: Microstructure-dependent couple stress theories of functionally graded beams.
Mech. Phys. Sol. 59, 2382–2399 (2011)
303. Ke, L.L., Wang, Y.S., Yang, J., Kitipornchai, S.: Nonlinear free vibration of size-dependent
functionally graded microbeams. Int. J. Eng. Sci. 50(1), 256–267 (2012)
304. Asghari, M., Rahaeifard, M., Kahrobaiyan, M.H., Ahmadian, M.T.: The modified couple
stress functionally graded Timoshenko beam formulation. Mater. Des. 32, 1435–1443 (2011)
305. Ke, L.L., Wang, Y.S.: Size effect on dynamic stability of functionally graded microbeams
based on a modified couple stress theory. Compos. Struct. 93, 342–350 (2011)
306. Nateghi, A., Salamat-Talab, M.: Thermal effect on size dependent behavior of functionally
graded microbeams based on modified couple stress theory. Compos. Struct. 96, 97–110
(2013)
307. Simsek, M., Kocaturk, T., Akbas, S.D.: Static bending of a functionally graded microscale
Timoshenko beam based on the modified couple stress theory. Compos. Struct. 95, 740–747
(2013)
308. Chen, W., Li, L., Xu, M.: A modified couple stress model for bending analysis of composite
laminated beams with first order shear deformation. Compos. Struct. 93, 2723–2732 (2011)
309. Chen, W.J., Li, X.P.: Size-dependent free vibration analysis of composite laminated Timoshenko beam based on new modified couple stress theory. Arch. Appl. Mech. 83(3), 431–444
(2013)
310. Roque, C.M.C., Fidalgo, D.S., Ferreira, A.J.M., Reddy, J.N.: A study of a microstructuredependent composite laminated Timoshenko beam using a modified couple stress theory and
a meshless method. Compos. Struct. 96, 532–537 (2013)
2 Size-Dependent Theories of Beams, Plates and Shells
289. Anjomshoa, A., Tahani, M.: Vibration analysis of orthotropic circular and elliptical nanoplates embedded in elastic medium based on nonlocal Mindlin plate theory and using Galerkin
method. J. Mech. Sci. Technol. 30, 2463–2474 (2016)
290. Golmakani, M.E., Rezatalab, J.: Nonlinear bending analysis of orthotropic nanoscale plates
in an elastic matrix based on nonlocal continuum mechanics. Compos. Struct. 111, 85–97
(2014)
291. Dastjerdi, S., Jabbarzadeh, M., Aliabadi, S.: Nonlinear static analysis of single layer annular/circular graphene sheets embedded in Winkler-Pasternak elastic matrix based on non-local
theory of Eringen. Ain. Shams. Eng. J. 7, 873–884 (2016)
292. Dastjerdi, S., Jabbarzadeh, M.: Non-linear bending analysis of multi-layer orthotropic annular/circular graphene sheets embedded in elastic matrix in thermal environment based on
non-local elasticity theory. Appl. Math. Model. 41, 83–101 (2017)
293. Ma, H.M., Gao, X.-L., Reddy, J.N.: A microstructure-dependent Timoshenko beam model
based on a modified couple stress theory. J. Mech. Phys. Sol. 56, 3379–3396 (2008)
294. Asghari, M., Kahrobaiyan, M.H., Rahaeifard, M., Ahmadian, M.T.: Investigation of the size
effects in Timoshenko beams based on the couple stress theory. Arch. Appl. Mech. 81, 863–
874 (2011)
295. Dos Santos, J.V.A., Reddy, J.N.: Free vibration and buckling analysis of beams with a modified
couple- stress theory. Int. J. Appl. Mech. 4, 1250026–28 (2012)
296. Dehrouyeh-Semnani, A.M., Nikkhah-Bahrami, M.: A discussion on incorporating the Poisson
effect in microbeam models based on modified couple stress theory. Int. J. Eng. Sci. 86, 20–25
(2015)
297. Liu, Y.P., Reddy, J.N.: A nonlocal curved beam model based on a modified copled stress
theory. Int. J. Str. Stab. Dyn. 11, 495–512 (2011)
298. Taati, E., Molaei Najafabadi, M.M., Basirat Tabrizi, H.: Size-dependent generalized thermoelasticity model for Timoshenko microbeams. Acta Mech. 225(7), 1823–1842 (2014)
299. Asghari, M., Kahrobaiyan, M.H., Ahmadian, M.T.: A nonlinear Timoshenko beam formulation based on the modified couple stress theory. Int. J. Eng. Sci. 48, 1749–1766 (2010)
300. Ghayesh, M.H., Farokhi, H., Amabili, M.: Nonlinear dynamics of a microscale beam based
on the modified couple stress theory. Compos. B Eng. 50, 318–324 (2013)
301. Ghayesh, M.H., Amabili, M., Farokhi, H.: Three-dimensional nonlinear size-dependent
behaviour of Timoshenko microbeams. Int. J. Eng. Sci. 71, 1–14 (2013)
302. Reddy, J.N.: Microstructure-dependent couple stress theories of functionally graded beams.
Mech. Phys. Sol. 59, 2382–2399 (2011)
303. Ke, L.L., Wang, Y.S., Yang, J., Kitipornchai, S.: Nonlinear free vibration of size-dependent
functionally graded microbeams. Int. J. Eng. Sci. 50(1), 256–267 (2012)
304. Asghari, M., Rahaeifard, M., Kahrobaiyan, M.H., Ahmadian, M.T.: The modified couple
stress functionally graded Timoshenko beam formulation. Mater. Des. 32, 1435–1443 (2011)
305. Ke, L.L., Wang, Y.S.: Size effect on dynamic stability of functionally graded microbeams
based on a modified couple stress theory. Compos. Struct. 93, 342–350 (2011)
306. Nateghi, A., Salamat-Talab, M.: Thermal effect on size dependent behavior of functionally
graded microbeams based on modified couple stress theory. Compos. Struct. 96, 97–110
(2013)
307. Simsek, M., Kocaturk, T., Akbas, S.D.: Static bending of a functionally graded microscale
Timoshenko beam based on the modified couple stress theory. Compos. Struct. 95, 740–747
(2013)
308. Chen, W., Li, L., Xu, M.: A modified couple stress model for bending analysis of composite
laminated beams with first order shear deformation. Compos. Struct. 93, 2723–2732 (2011)
309. Chen, W.J., Li, X.P.: Size-dependent free vibration analysis of composite laminated Timoshenko beam based on new modified couple stress theory. Arch. Appl. Mech. 83(3), 431–444
(2013)
310. Roque, C.M.C., Fidalgo, D.S., Ferreira, A.J.M., Reddy, J.N.: A study of a microstructuredependent composite laminated Timoshenko beam using a modified couple stress theory and
a meshless method. Compos. Struct. 96, 532–537 (2013)