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312. Thai, H.T., Vo, T.P., Nguyen, T.K., Lee, J.: Size-dependent behavior of functionally graded
sandwich microbeams based on the modified couple stress theory. Compos. Struct. 123, 337–
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313. Krysko, A.V., Awrejcewicz, J., Pavlov, S.P., Zhigalov, M.V., Krysko, V.A.: Mathematical
model of a three-layer micro- and nano-beams based on the hypotheses of the GrigolyukChulkov and the modified couple stress theory. Int. J. Sol. Struct. 117, 39–50 (2017)
314. Ma, H.M., Gao, X.L., Reddy, J.N.: A non-classical Mindlin plate model based on a modified
couple stress theory. Acta Mech. 220, 217–235 (2011)
315. Ke, L.L., Wang, Y.S., Yang, J., Kitipornchai, S.: Free vibration of size-dependent Mindlin
microplates based on the modified couple stress theory. J. Sound Vib. 331, 94–106 (2012)
316. Roque, C.M.C., Ferreira, A.J.M., Reddy, J.N.: Analysis of Mindlin micro plates with a modified couple stress theory and a meshless method. Appl. Math. Model. 37, 4626–4633 (2013)
317. Zhou, S.S., Gao, X.L.: A nonclassical model for circular mindlin plates based on a modified
couple stress theory. J. Appl. Mech. 81, 051014–8 (2014)
318. Alinaghizadeh, F., Shariati, M., Fish, J.: Bending analysis of size-dependent functionally
graded annular sector microplates based on the modified couple stress theory. Appl. Math.
Model. 44, 540–556 (2017)
319. He, D., Yang, W., Chen, W.: A size-dependent composite laminated skew plate model based
on a new modified couple stress theory. Acta Mech. Sol. Sin. 30, 75–86 (2017)
320. Simsek, M., Aydn, M.: Size-dependent forced vibration of an imperfect functionally graded
(FG) microplate with porosities subjected to a moving load using the modified couple stress
theory. Compos. Struct. 160, 408–421 (2017)
321. Reddy, J.N., Berry, J.: Nonlinear theories of axisymmetric bending of functionally graded
circular plates with modified couple stress. Compos. Struct. 94, 3664–3668 (2012)
322. Ke, L.L., Yang, J., Kitipornchai, S., Bradford, M.A., Wang, Y.S.: Axisymmetric nonlinear
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323. Ke, L.L., Yang, J., Kitipornchai, S., Wang, Y.S.: Axisymmetric postbuckling analysis of sizedependent functionally graded annular microplates using the physical neutral plane. Int. J.
Eng. Sci. 81, 66–81 (2014)
324. Thai, H.T., Choi, D.H.: Size-dependent functionally graded Kirchhoff and Mindlin plate
models based on a modified couple stress theory. Compos. Struct. 95, 142–153 (2013)
325. Jung, W.Y., Park, W.T., Han, S.C.: Bending and vibration analysis of S-FGM microplates
embedded in Pasternak elastic medium using the modified couple stress theory. Int. J. Mech.
Sci. 87, 150–162 (2014)
326. Jung, W.Y., Han, S.C., Park, W.T.: A modified couple stress theory for buckling analysis of
S-FGM nanoplates embedded in Pasternak elastic medium. Compos. B Eng. 60, 746–756
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327. Ansari, R., Faghih, S.M., Mohammadi, V., Gholami, R., Darabi, M.A.: Nonlinear vibrations of
functionally graded Mindlin microplates based on the modified couple stress theory. Compos.
Struct. 114, 124–134 (2014)
328. Ansari, R., Gholami, R., Faghih, S.M., Mohammadi, V., Darabi, M.A.: Size-dependent nonlinear bending and postbuckling of functionally graded Mindlin rectangular microplates considering the physical neutral plane position. Compos. Struct. 127, 87–98 (2015)
329. Ansari, R., Faghih, S.M., Mohammadi, V., Gholami, R., Darabi, M.A.: Size-dependent vibrations of post-buckled functionally graded mindlin rectangular microplates. Lat. Am. J. Sol.
Struct. 11, 2351–2378 (2014)
330. Lou, J., He, L.: Closed-form solutions for nonlinear bending and free vibration of functionally
graded microplates based on the modified couple stress theory. Compos. Struct. 131, 810–820
(2015)
71
311. Mohammad-Abadi, M., Daneshmehr, A.R.: An investigation of modified couple stress theory
in buckling analysis of micro composite laminated Euler-Bernoulli and Timoshenko beams.
Int. J. Eng. Sci. 75, 40–53 (2014)
312. Thai, H.T., Vo, T.P., Nguyen, T.K., Lee, J.: Size-dependent behavior of functionally graded
sandwich microbeams based on the modified couple stress theory. Compos. Struct. 123, 337–
349 (2015)
313. Krysko, A.V., Awrejcewicz, J., Pavlov, S.P., Zhigalov, M.V., Krysko, V.A.: Mathematical
model of a three-layer micro- and nano-beams based on the hypotheses of the GrigolyukChulkov and the modified couple stress theory. Int. J. Sol. Struct. 117, 39–50 (2017)
314. Ma, H.M., Gao, X.L., Reddy, J.N.: A non-classical Mindlin plate model based on a modified
couple stress theory. Acta Mech. 220, 217–235 (2011)
315. Ke, L.L., Wang, Y.S., Yang, J., Kitipornchai, S.: Free vibration of size-dependent Mindlin
microplates based on the modified couple stress theory. J. Sound Vib. 331, 94–106 (2012)
316. Roque, C.M.C., Ferreira, A.J.M., Reddy, J.N.: Analysis of Mindlin micro plates with a modified couple stress theory and a meshless method. Appl. Math. Model. 37, 4626–4633 (2013)
317. Zhou, S.S., Gao, X.L.: A nonclassical model for circular mindlin plates based on a modified
couple stress theory. J. Appl. Mech. 81, 051014–8 (2014)
318. Alinaghizadeh, F., Shariati, M., Fish, J.: Bending analysis of size-dependent functionally
graded annular sector microplates based on the modified couple stress theory. Appl. Math.
Model. 44, 540–556 (2017)
319. He, D., Yang, W., Chen, W.: A size-dependent composite laminated skew plate model based
on a new modified couple stress theory. Acta Mech. Sol. Sin. 30, 75–86 (2017)
320. Simsek, M., Aydn, M.: Size-dependent forced vibration of an imperfect functionally graded
(FG) microplate with porosities subjected to a moving load using the modified couple stress
theory. Compos. Struct. 160, 408–421 (2017)
321. Reddy, J.N., Berry, J.: Nonlinear theories of axisymmetric bending of functionally graded
circular plates with modified couple stress. Compos. Struct. 94, 3664–3668 (2012)
322. Ke, L.L., Yang, J., Kitipornchai, S., Bradford, M.A., Wang, Y.S.: Axisymmetric nonlinear
free vibration of size-dependent functionally graded annular microplates. Compos. B Eng.
53, 207–217 (2013)
323. Ke, L.L., Yang, J., Kitipornchai, S., Wang, Y.S.: Axisymmetric postbuckling analysis of sizedependent functionally graded annular microplates using the physical neutral plane. Int. J.
Eng. Sci. 81, 66–81 (2014)
324. Thai, H.T., Choi, D.H.: Size-dependent functionally graded Kirchhoff and Mindlin plate
models based on a modified couple stress theory. Compos. Struct. 95, 142–153 (2013)
325. Jung, W.Y., Park, W.T., Han, S.C.: Bending and vibration analysis of S-FGM microplates
embedded in Pasternak elastic medium using the modified couple stress theory. Int. J. Mech.
Sci. 87, 150–162 (2014)
326. Jung, W.Y., Han, S.C., Park, W.T.: A modified couple stress theory for buckling analysis of
S-FGM nanoplates embedded in Pasternak elastic medium. Compos. B Eng. 60, 746–756
(2014)
327. Ansari, R., Faghih, S.M., Mohammadi, V., Gholami, R., Darabi, M.A.: Nonlinear vibrations of
functionally graded Mindlin microplates based on the modified couple stress theory. Compos.
Struct. 114, 124–134 (2014)
328. Ansari, R., Gholami, R., Faghih, S.M., Mohammadi, V., Darabi, M.A.: Size-dependent nonlinear bending and postbuckling of functionally graded Mindlin rectangular microplates considering the physical neutral plane position. Compos. Struct. 127, 87–98 (2015)
329. Ansari, R., Faghih, S.M., Mohammadi, V., Gholami, R., Darabi, M.A.: Size-dependent vibrations of post-buckled functionally graded mindlin rectangular microplates. Lat. Am. J. Sol.
Struct. 11, 2351–2378 (2014)
330. Lou, J., He, L.: Closed-form solutions for nonlinear bending and free vibration of functionally
graded microplates based on the modified couple stress theory. Compos. Struct. 131, 810–820
(2015)