72
2 Size-Dependent Theories of Beams, Plates and Shells
331. Zeighampour, H., Beni, Y.T.: A shear deformable cylindrical shell model based on couple
stress theory. Arch. Appl. Mech. 85, 539–553 (2015)
332. Hosseini-Hashemi, S., Sharifpour, F., Ilkhani, M.R.: On the free vibrations of size-dependent
closed micro/nano-spherical shell based on the modified couple stress theory. Int. J. Mech.
Sci. 115–116, 501–515 (2016)
333. Gholami, R., Ansari, R., Darvizeh, A., Sahmani, S.: Axial buckling and dynamic stability
of functionally graded microshells based on the modified couple stress theory. Int. J. Struct.
Stab. Dyn. 15, 1450070–24 (2015)
334. Tadi Beni, Y., Mehralian, F., Razavi, H.: Free vibration analysis of size-dependent shear
deformable functionally graded cylindrical shell on the basis of modified couple stress theory.
Compos. Struct. 120, 65–78 (2015)
335. Lou, J., He, L., Wu, H., Du, J.: Pre-buckling and buckling analyses of functionally graded
microshells under axial and radial loads based on the modified couple stress theory. Compos.
Struct. 142, 226–237 (2016)
336. Ansari, R., Gholami, R., Darabi, M.A.: A nonlinear Timoshenko beam formulation based on
strain gradient theory. J. Mech. Mater. Struct. 7(2), 1749–1761 (2012)
337. Asghari, M., Kahrobaiyan, M.H., Nikfar, M., Ahmadian, M.T.: A size-dependent nonlinear
Timoshenko microbeam model based on the strain gradient theory. Acta Mech. 223, 1233–
1249 (2012)
338. Ansari, R., Gholami, R., Sahmani, S.: Free vibration analysis of size-dependent functionally
graded microbeams based on the strain gradient Timoshenko beam theory. Compos. Struct.
94, 221–228 (2011)
339. Ansari, R., Gholami, R., Sahmani, S.: Size-dependent vibration of functionally graded curved
microbeams based on the modified strain gradient elasticity theory. Arch. Appl. Mech. 83,
1439–1449 (2013)
340. Ansari, R., Gholami, R., Faghih, S.M., Mohammadi, V., Sahmani, S.: Buckling of FGM
Timoshenko microbeams under in-plane thermal loading based on the modified strain gradient
theory. Int. J. Multi. Comput. Eng. 11, 389–405 (2013)
341. Ansari, R., Faraji, O.M., Rouhi, H.: Studying linear and nonlinear vibrations of fractional
viscoelastic Timoshenko micro-/nano-beams using the strain gradient theory. Nonlinear Dyn.
87, 695–711 (2017)
342. Gholami, R., Ansari, R., Rouhi, H.: Studying the effects of small scale and Casimir force
on the non-linear pull-in instability and vibrations of FGM microswitches under electrostatic
actuation. Int. J. Non-Linear Mech. 77, 193–207 (2015)
343. Xie, X., Zheng, H., Yang, H.: Indirect radial basis function approach for bending, free vibration
and buckling analyses of functionally graded microbeams. Compos. Struct. 131, 606–615
(2015)
344. Tajalli, S.A., Rahaeifard, M., Kahrobaiyan, M.H., Movahhedy, M.R., Akbari, J., Ahmadian,
M.T.: Mechanical behavior analysis of size-dependent micro-scaled functionally graded Timoshenko beams by strain gradient elasticity theory. Compos. Struct. 102, 72–80 (2013)
345. Ansari, R., Shojaei, M.F., Mohammadi, V., Gholami, R., Darabi, M.A.: Buckling and postbuckling behavior of functionally graded Timoshenko microbeams based on the strain gradient
theory. J. Mech. Mater. Struct. 7, 931–949 (2012)
346. Ansari, R., Faghih, S.M., Gholami, R., Mohammadi, V., Darabi, M.A.: Thermal postbuckling
behavior of size-dependent functionally graded Timoshenko microbeams. Int. J. Non-Linear
Mech. 50, 127–135 (2013)
347. Sahmani, S., Ansari, R.: On the free vibration response of functionally graded higher-order
shear deformable microplates based on the strain gradient elasticity theory. Compos. Struct.
95, 430–442 (2013)
348. Ansari, R., Gholami, R., Faghih, S.M., Mohammadi, V., Darabi, M.A.: Thermal buckling
analysis of a mindlin rectangular FGM microplate based on the strain gradient theory. J.
Therm. Stress. 36, 446–465 (2013)
349. Ansari, R., Shojaei, M.F., Mohammadi, V., Gholami, R., Rouhi, H.: Size-dependent thermal
buckling and postbuckling of functionally graded annular microplates based on the modified
strain gradient theory. J. Therm. Stress. 37, 174–201 (2014)
2 Size-Dependent Theories of Beams, Plates and Shells
331. Zeighampour, H., Beni, Y.T.: A shear deformable cylindrical shell model based on couple
stress theory. Arch. Appl. Mech. 85, 539–553 (2015)
332. Hosseini-Hashemi, S., Sharifpour, F., Ilkhani, M.R.: On the free vibrations of size-dependent
closed micro/nano-spherical shell based on the modified couple stress theory. Int. J. Mech.
Sci. 115–116, 501–515 (2016)
333. Gholami, R., Ansari, R., Darvizeh, A., Sahmani, S.: Axial buckling and dynamic stability
of functionally graded microshells based on the modified couple stress theory. Int. J. Struct.
Stab. Dyn. 15, 1450070–24 (2015)
334. Tadi Beni, Y., Mehralian, F., Razavi, H.: Free vibration analysis of size-dependent shear
deformable functionally graded cylindrical shell on the basis of modified couple stress theory.
Compos. Struct. 120, 65–78 (2015)
335. Lou, J., He, L., Wu, H., Du, J.: Pre-buckling and buckling analyses of functionally graded
microshells under axial and radial loads based on the modified couple stress theory. Compos.
Struct. 142, 226–237 (2016)
336. Ansari, R., Gholami, R., Darabi, M.A.: A nonlinear Timoshenko beam formulation based on
strain gradient theory. J. Mech. Mater. Struct. 7(2), 1749–1761 (2012)
337. Asghari, M., Kahrobaiyan, M.H., Nikfar, M., Ahmadian, M.T.: A size-dependent nonlinear
Timoshenko microbeam model based on the strain gradient theory. Acta Mech. 223, 1233–
1249 (2012)
338. Ansari, R., Gholami, R., Sahmani, S.: Free vibration analysis of size-dependent functionally
graded microbeams based on the strain gradient Timoshenko beam theory. Compos. Struct.
94, 221–228 (2011)
339. Ansari, R., Gholami, R., Sahmani, S.: Size-dependent vibration of functionally graded curved
microbeams based on the modified strain gradient elasticity theory. Arch. Appl. Mech. 83,
1439–1449 (2013)
340. Ansari, R., Gholami, R., Faghih, S.M., Mohammadi, V., Sahmani, S.: Buckling of FGM
Timoshenko microbeams under in-plane thermal loading based on the modified strain gradient
theory. Int. J. Multi. Comput. Eng. 11, 389–405 (2013)
341. Ansari, R., Faraji, O.M., Rouhi, H.: Studying linear and nonlinear vibrations of fractional
viscoelastic Timoshenko micro-/nano-beams using the strain gradient theory. Nonlinear Dyn.
87, 695–711 (2017)
342. Gholami, R., Ansari, R., Rouhi, H.: Studying the effects of small scale and Casimir force
on the non-linear pull-in instability and vibrations of FGM microswitches under electrostatic
actuation. Int. J. Non-Linear Mech. 77, 193–207 (2015)
343. Xie, X., Zheng, H., Yang, H.: Indirect radial basis function approach for bending, free vibration
and buckling analyses of functionally graded microbeams. Compos. Struct. 131, 606–615
(2015)
344. Tajalli, S.A., Rahaeifard, M., Kahrobaiyan, M.H., Movahhedy, M.R., Akbari, J., Ahmadian,
M.T.: Mechanical behavior analysis of size-dependent micro-scaled functionally graded Timoshenko beams by strain gradient elasticity theory. Compos. Struct. 102, 72–80 (2013)
345. Ansari, R., Shojaei, M.F., Mohammadi, V., Gholami, R., Darabi, M.A.: Buckling and postbuckling behavior of functionally graded Timoshenko microbeams based on the strain gradient
theory. J. Mech. Mater. Struct. 7, 931–949 (2012)
346. Ansari, R., Faghih, S.M., Gholami, R., Mohammadi, V., Darabi, M.A.: Thermal postbuckling
behavior of size-dependent functionally graded Timoshenko microbeams. Int. J. Non-Linear
Mech. 50, 127–135 (2013)
347. Sahmani, S., Ansari, R.: On the free vibration response of functionally graded higher-order
shear deformable microplates based on the strain gradient elasticity theory. Compos. Struct.
95, 430–442 (2013)
348. Ansari, R., Gholami, R., Faghih, S.M., Mohammadi, V., Darabi, M.A.: Thermal buckling
analysis of a mindlin rectangular FGM microplate based on the strain gradient theory. J.
Therm. Stress. 36, 446–465 (2013)
349. Ansari, R., Shojaei, M.F., Mohammadi, V., Gholami, R., Rouhi, H.: Size-dependent thermal
buckling and postbuckling of functionally graded annular microplates based on the modified
strain gradient theory. J. Therm. Stress. 37, 174–201 (2014)