Abstract.
In this article, buckling behavior of nonlocal magneto-electro-elastic functionally graded (MEE-FG) beams is investigated based on a higher-order beam model. Material properties of smart nanobeam are supposed to change continuously throughout the thickness based on the power-law model. Eringen's nonlocal elasticity theory is adopted to capture the small size effects. Nonlocal governing equations of MEE-FG nanobeam are obtained employing Hamilton's principle and they are solved using the Navier solution. Numerical results are presented to indicate the effects of magnetic potential, electric voltage, nonlocal parameter and material composition on buckling behavior of MEE-FG nanobeams. Therefore, the present study makes the first attempt in analyzing the buckling responses of higher-order shear deformable (HOSD) MEE-FG nanobeams.
Similar content being viewed by others
References
A. Jiang, H. Ding, Struct. Eng. Mech. 18, 195 (2004)
W.Q. Chen, K.Y. Lee, H.J. Ding, J. Sound. Vib. 279, 237 (2005)
A.R. Annigeri, N. Ganesan, S. Swarnamani, J. Sound. Vib. 299, 44 (2007)
A. Kumaravel, N. Ganesan, R. Sethuraman, Multidiscip. Model. Mater. Struct. 3, 461 (2007)
A. Daga, N. Ganesan, K. Shankar, Int. J. Comput. Method Eng. Sci. Mech. 10, 173 (2009)
M.F. Liu, T.P. Chang, J. Appl. Mech. 77, 024502 (2010)
S. Razavi, A. Shooshtari, Compos. Struct. 119, 377 (2015)
L. Xin, Z. Hu, Compos. Struct. 125, 96 (2015)
E. Pan, F. Han, Int. J. Eng. Sci. 43, 321 (2005)
D.J. Huang, H.J. Ding, W.Q. Chen, Int. J. Eng. Sci. 45, 467 (2007)
C.P. Wu, Y.H. Tsai, Int. J. Eng. Sci. 45, 744 (2007)
X.Y. Li, H.J. Ding, W.Q. Chen, Compos. Struct. 83, 381 (2008)
S.C. Kattimani, M.C. Ray, Int. J. Mech. Sci. 199, 154 (2015)
J. Sladek, V. Sladek, S. Krahulec, C.S. Chen, D.L. Young, Mech. Adv. Mater. Struct. 22, 479 (2015)
A.C. Eringen, D.G.B. Edelen, Int. J. Eng. Sci. 10, 233 (1972)
A.C. Eringen, Int. J. Eng. Sci. 10, 1 (1972)
A.C. Eringen, Int. J. Eng. Sci. 10, 425 (1972)
A.C. Eringen, J. Appl. Phys. 54, 4703 (1983)
W.J. Drugan, J.R. Willis, J. Mech. Phys. Solids 44, 497 (1996)
W.J. Drugan, J. Mech. Phys. Solids 48, 1359 (2000)
C. Polizzotto, Int. J. Solids Struct. 38, 7359 (2001)
C. Polizzotto, Boundary Element Methods for Soil-Structure Interaction (Springer Netherlands, 2003) pp. 275--296
W.J. Drugan, J. Mech. Phys. Solids 51, 1745 (2003)
I. Monetto, W.J. Drugan, J. Mech. Phys. Solids 52, 359 (2004)
L.L. Ke, Y.S. Wang, Physica E 63, 52 (2014)
L.L. Ke, Y.S. Wang, J. Yang, S. Kitipornchai, Acta Mech. Sinica 30, 516 (2014)
Y.S. Li, Z.Y. Cai, S.Y. Shi, Compos. Struct. 111, 522 (2014)
R. Ansari, E. Hasrati, R. Gholami, F. Sadeghi, Compos. Part B: Eng. 83, 226 (2015)
B. Wu, C. Zhang, W. Chen, C. Zhang, Smart Mater. Struct. 24, 095017 (2015)
M. Simşek, H.H. Yurtcu, Compos. Struct. 97, 378 (2013)
O. Rahmani, A.A. Jandaghian, Appl. Phys. A 119, 1019 (2015)
F. Ebrahimi, M.R. Barati, Arab. J. Sci. Eng. 40, 1 (2015)
A. Zemri, M.S.A. Houari, A.A. Bousahla, A. Tounsi, Struct. Eng. Mech. 54, 693 (2015)
F. Ebrahimi, M. Ghadiri, E. Salari, S.A.H. Hoseini, G.R. Shaghaghi, J. Mech. Sci. Technol. 29, 1207 (2015)
F. Ebrahimi, E. Salari E., Compos. Part B: Eng. 79, 156 (2015)
M.R. Barati, A.M. Zenkour, H. Shahverdi, Compos. Struct. 141, 203 (2016)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ebrahimi, F., Reza Barati, M. Magnetic field effects on buckling behavior of smart size-dependent graded nanoscale beams. Eur. Phys. J. Plus 131, 238 (2016). https://doi.org/10.1140/epjp/i2016-16238-8
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/i2016-16238-8