76
2 Size-Dependent Theories of Beams, Plates and Shells
417. Darijani, H., Mohammadabadi, H.: A new deformation beam theory for static and dynamic
analysis of microbeams. Int. J. Mech. Sci. 89, 31–9 (2014)
418. Noori, J., Fariborz, S.J., Vafa, J.P.: A higher-order micro-beam model with application to free
vibration. Mech. Adv. Mater. Struct. 23, 443–450 (2016)
419. Simsek, M., Reddy, J.N.: Bending and vibration of functionally graded microbeams using
a new higher order beam theory and the modified couple stress theory. Int. J. Eng. Sci. 64,
37–53 (2013)
420. Thai, H.T., Kim, S.E.: A size-dependent functionally graded Reddy plate model based on a
modified couple stress theory. Compos. B Eng. 45, 1636–1645 (2013)
421. Akbarzadeh, K.M., Shariati, M., Emam, S.A.: Postbuckling of functionally graded nanobeams
based on modified couple stress theory under general beam theory. Int. J. Mech. Sci. 110,
160–9 (2016)
422. Trinh, L.C., Nguyen, H.X., Vo, T.P., Nguyen, T.-K.: Size-dependent behaviour of functionally
graded microbeams using various shear deformation theories based on the modified couple
stress theory. Compos. Struct. 154, 556–572 (2016)
423. Thai, H.T., Vo, T.P., Bui, T.Q., Nguyen, T.K.: A quasi-3D hyperbolic shear deformation theory
for functionally graded plates. Acta Mech. 225, 951–964 (2014)
424. Akgoz, B., Civalek, O.: Thermo-mechanical buckling behavior of functionally graded
microbeams embedded in elastic medium. Int. J. Eng. Sci. 85, 90–104 (2014)
425. Al-Basyouni, K.S., Tounsi, A., Mahmoud, S.R.: Size dependent bending and vibration analysis
of functionally graded micro beams based on modified couple stress theory and neutral surface
position. Compos. Struct. 125, 621–630 (2015)
426. Gao, X.L., Huang, J.X., Reddy, J.N.: A non-classical third-order shear deformation plate
model based on a modified couple stress theory. Acta Mech. 224, 2699–2718 (2013)
427. Chen, W., Xu, M., Li, L.: A model of composite laminated Reddy plate based on new modified
couple stress theory. Compos. Struct. 94, 2143–2156 (2012)
428. Jung, W.Y., Han, S.C.: Static and eigenvalue problems of sigmoid functionally graded materials (S-FGM) micro-scale plates using the modified couple stress theory. Appl. Math. Model.
39, 3506–3524 (2015)
429. Eshraghi, I., Dag, S., Soltani, N.: Consideration of spatial variation of the length scale parameter in static and dynamic analyses of functionally graded annular and circular micro-plates.
Compos. B Eng. 78, 338–48 (2015)
430. Eshraghi, I., Dag, S., Soltani, N.: Bending and free vibrations of functionally graded annular
and circular micro-plates under thermal loading. Compos. Struct. 137, 196–207 (2016)
431. Ghayesh, M.H., Farokhi, H.: Coupled size-dependent behavior of shear deformable
microplates. Acta Mech. 227, 757–775 (2016)
432. 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. Compos. B Eng. 51, 44–53 (2013)
433. Thai, H.T., Vo, T.: A size-dependent functionally graded sinusoidal plate model based on a
modified couple stress theory. Compos. Struct. 96, 376–383 (2013)
434. Darijani, H., Shahdadi, A.H.: A new shear deformation model with modified couple stress
theory for microplates. Acta Mech. 226, 2773–2788 (2015)
435. He, L., Lou, J., Zhang, E., Wang, Y., Bai, Y.: A size-dependent four variable refined plate
model for functionally graded microplates based on modified couple stress theory. Compos.
Struct. 130, 107–115 (2015)
436. Lou, J., He, L., Du, J., Wu, H.: Nonlinear analyses of functionally graded microplates based
on a general four-variable refined plate model and the modified couple stress theory. Compos.
Struct. 152, 516–527 (2016)
437. Lou, J., He, L., Du, J.: A unified higher order plate theory for functionally graded microplates
based on the modified couple stress theory. Compos. Struct. 133, 1036–1047 (2015)
438. Trinh, L.C., Vo, T.P., Thai, H.T., Mantari, J.L.: Size-dependent behaviour of functionally
graded sandwich microplates under mechanical and thermal loads. Compos. B Eng. 124,
218–241 (2017)
2 Size-Dependent Theories of Beams, Plates and Shells
417. Darijani, H., Mohammadabadi, H.: A new deformation beam theory for static and dynamic
analysis of microbeams. Int. J. Mech. Sci. 89, 31–9 (2014)
418. Noori, J., Fariborz, S.J., Vafa, J.P.: A higher-order micro-beam model with application to free
vibration. Mech. Adv. Mater. Struct. 23, 443–450 (2016)
419. Simsek, M., Reddy, J.N.: Bending and vibration of functionally graded microbeams using
a new higher order beam theory and the modified couple stress theory. Int. J. Eng. Sci. 64,
37–53 (2013)
420. Thai, H.T., Kim, S.E.: A size-dependent functionally graded Reddy plate model based on a
modified couple stress theory. Compos. B Eng. 45, 1636–1645 (2013)
421. Akbarzadeh, K.M., Shariati, M., Emam, S.A.: Postbuckling of functionally graded nanobeams
based on modified couple stress theory under general beam theory. Int. J. Mech. Sci. 110,
160–9 (2016)
422. Trinh, L.C., Nguyen, H.X., Vo, T.P., Nguyen, T.-K.: Size-dependent behaviour of functionally
graded microbeams using various shear deformation theories based on the modified couple
stress theory. Compos. Struct. 154, 556–572 (2016)
423. Thai, H.T., Vo, T.P., Bui, T.Q., Nguyen, T.K.: A quasi-3D hyperbolic shear deformation theory
for functionally graded plates. Acta Mech. 225, 951–964 (2014)
424. Akgoz, B., Civalek, O.: Thermo-mechanical buckling behavior of functionally graded
microbeams embedded in elastic medium. Int. J. Eng. Sci. 85, 90–104 (2014)
425. Al-Basyouni, K.S., Tounsi, A., Mahmoud, S.R.: Size dependent bending and vibration analysis
of functionally graded micro beams based on modified couple stress theory and neutral surface
position. Compos. Struct. 125, 621–630 (2015)
426. Gao, X.L., Huang, J.X., Reddy, J.N.: A non-classical third-order shear deformation plate
model based on a modified couple stress theory. Acta Mech. 224, 2699–2718 (2013)
427. Chen, W., Xu, M., Li, L.: A model of composite laminated Reddy plate based on new modified
couple stress theory. Compos. Struct. 94, 2143–2156 (2012)
428. Jung, W.Y., Han, S.C.: Static and eigenvalue problems of sigmoid functionally graded materials (S-FGM) micro-scale plates using the modified couple stress theory. Appl. Math. Model.
39, 3506–3524 (2015)
429. Eshraghi, I., Dag, S., Soltani, N.: Consideration of spatial variation of the length scale parameter in static and dynamic analyses of functionally graded annular and circular micro-plates.
Compos. B Eng. 78, 338–48 (2015)
430. Eshraghi, I., Dag, S., Soltani, N.: Bending and free vibrations of functionally graded annular
and circular micro-plates under thermal loading. Compos. Struct. 137, 196–207 (2016)
431. Ghayesh, M.H., Farokhi, H.: Coupled size-dependent behavior of shear deformable
microplates. Acta Mech. 227, 757–775 (2016)
432. 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. Compos. B Eng. 51, 44–53 (2013)
433. Thai, H.T., Vo, T.: A size-dependent functionally graded sinusoidal plate model based on a
modified couple stress theory. Compos. Struct. 96, 376–383 (2013)
434. Darijani, H., Shahdadi, A.H.: A new shear deformation model with modified couple stress
theory for microplates. Acta Mech. 226, 2773–2788 (2015)
435. He, L., Lou, J., Zhang, E., Wang, Y., Bai, Y.: A size-dependent four variable refined plate
model for functionally graded microplates based on modified couple stress theory. Compos.
Struct. 130, 107–115 (2015)
436. Lou, J., He, L., Du, J., Wu, H.: Nonlinear analyses of functionally graded microplates based
on a general four-variable refined plate model and the modified couple stress theory. Compos.
Struct. 152, 516–527 (2016)
437. Lou, J., He, L., Du, J.: A unified higher order plate theory for functionally graded microplates
based on the modified couple stress theory. Compos. Struct. 133, 1036–1047 (2015)
438. Trinh, L.C., Vo, T.P., Thai, H.T., Mantari, J.L.: Size-dependent behaviour of functionally
graded sandwich microplates under mechanical and thermal loads. Compos. B Eng. 124,
218–241 (2017)