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vibration of functionally graded plates. Appl. Math. Model. 37, 3269–3281 (2013)
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416. Mohammad-Abadi, M., Daneshmehr, A.R., Homayounfard, M.: Size-dependent thermal
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75
395. Sobhy, M.: Levy-type solution for bending of single-layered graphene sheets in thermal environment using the two-variable plate theory. Int. J. Mech. Sci. 90, 171–178 (2015)
396. Sobhy, M.: Hygrothermal deformation of orthotropic nanoplates based on the state-space
concept. Compos. B Eng. 79, 224–235 (2015)
397. Zenkour, A.M., Sobhy, M.: Nonlocal elasticity theory for thermal buckling of nanoplates lying
on Winkler-Pasternak elastic substrate medium. Phys. E. 53, 251–259 (2013)
398. Alzahrani, E.O., Zenkour, A.M., Sobhy, M.: Small scale effect on hygro-thermo-mechanical
bending of nanoplates embedded in an elastic medium. Compos. Struct. 105, 163–172 (2013)
399. Thai, H.T., Vo, T.P., Nguyen, T.K., Lee, J.: A nonlocal sinusoidal plate model for
micro/nanoscale plates. Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci. 228, 2652–2660
(2014)
400. Sobhy, M.: Thermomechanical bending and free vibration of single-layered graphene sheets
embedded in an elastic medium. Phys. E. 56, 400–409 (2014)
401. Sobhy, M.: Natural frequency and buckling of orthotropic nanoplates resting on two-parameter
elastic foundations with various boundary conditions. J. Mech. 30, 443–453 (2014)
402. Sobhy, M.: A comprehensive study on FGM nanoplates embedded in an elastic medium.
Compos. Struct. 134, 966–980 (2015)
403. Thai, H.T., Vo, T.P.: A new sinusoidal shear deformation theory for bending, buckling, and
vibration of functionally graded plates. Appl. Math. Model. 37, 3269–3281 (2013)
404. Belkorissat, I., Houari, M.S.A., 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. Compos. Struct. 18, 1063–1081 (2015)
405. Soldatos, K.P.: A transverse shear deformation theory for homogeneous monoclinic plates.
Acta Mech. 94, 195–220 (1992)
406. Khorshidi, K., Fallah, A.: Buckling analysis of functionally graded rectangular nano-plate
based on nonlocal exponential shear deformation theory. Int. J. Mech. Sci. 113, 94–104
(2016)
407. Bessaim, A., Houari, M.S.A., Bernard, F., Tounsi, A.: A nonlocal quasi-3D trigonometric
plate model for free vibration behaviour of micro/nanoscale plates. Struct. Eng. Mech. 56,
223–240 (2015)
408. Sobhy, M., Radwan, A.F.: A new quasi 3D nonlocal plate theory for vibration and buckling
of FGM nanoplates. Int. J. Appl. Mech. 9, 1750008–29 (2017)
409. Ma, H.M., Gao, X.L., Reddy, J.N.: A nonclassical Reddy-Levinson beam model based on a
modified couple stress theory. Int. J. Multiscale Comput. Eng. 8, 167–180 (2010)
410. Mohammad-Abadi, M., Daneshmehr, A.R.: Size dependent buckling analysis of microbeams
based on modified couple stress theory with high order theories and general boundary conditions. Int. J. Eng. Sci. 74, 1–14 (2014)
411. Salamat-Talab, M., Nateghi, A., Torabi, J.: Static and dynamic analysis of third-order shear
deformation FG micro beam based on modified couple stress theory. Int. J. Mech. Sci. 57,
63–73 (2012)
412. Nateghi, A., Salamat-Talab, M., Rezapour, J., Daneshian, B.: Size dependent buckling analysis
of functionally graded micro beams based on modified couple stress theory. Appl. Math.
Model. 36, 4971–4987 (2012)
413. Aghazadeh, R., Cigeroglu, E., Dag, S.: Static and free vibration analyses of small-scale functionally graded beams possessing a variable length scale parameter using different beam
theories. Eur. J. Mech. A Sol. 46, 1–11 (2014)
414. Chen, W., Chen, W., Sze, K.Y.: A model of composite laminated Reddy beam based on a
modified couple- stress theory. Compos. Struct. 94, 2599–2609 (2012)
415. Mohammad-Abadi, M., Daneshmehr, A.R.: Modified couple stress theory applied to dynamic
analysis of composite laminated beams by considering different beam theories. Int. J. Eng.
Sci. 87, 83–102 (2015)
416. Mohammad-Abadi, M., Daneshmehr, A.R., Homayounfard, M.: Size-dependent thermal
buckling analysis of micro composite laminated beams using modified couple stress theory.
Int. J. Eng. Sci. 92, 47–62 (2015)