The size-dependent static bending of a partially covered laminated microbeam

作者: Guangyang Fu , Shenjie Zhou , Lu Qi

DOI: 10.1016/J.IJMECSCI.2018.12.037

关键词:

摘要: Abstract A size-dependent model for partially covered laminated microbeam is developed based on the general strain gradient elasticity theory. The governing equations and boundary conditions of beam are obtained by using variational principle. static bending behaviour a with different studied. responses deflection, axial displacement neutral axis analysed. Results reveal that mechanical responses, including beam, predicted classical when ratio thickness material length scale parameter small. As increases, deflection will gradually close to model.

参考文章(64)
H.L. Dai, Y.K. Wang, L. Wang, Nonlinear dynamics of cantilevered microbeams based on modified couple stress theory International Journal of Engineering Science. ,vol. 94, pp. 103- 112 ,(2015) , 10.1016/J.IJENGSCI.2015.05.007
Amir Mehdi Dehrouyeh-Semnani, Mohammad Dehrouyeh, Mostafa Torabi-Kafshgari, Mansour Nikkhah-Bahrami, An investigation into size-dependent vibration damping characteristics of functionally graded viscoelastically damped sandwich microbeams International Journal of Engineering Science. ,vol. 96, pp. 68- 85 ,(2015) , 10.1016/J.IJENGSCI.2015.07.008
Shenjie Zhou, Anqing Li, Binglei Wang, A reformulation of constitutive relations in the strain gradient elasticity theory for isotropic materials International Journal of Solids and Structures. ,vol. 80, pp. 28- 37 ,(2016) , 10.1016/J.IJSOLSTR.2015.10.018
R. D. Mindlin, H. F. Tiersten, Effects of couple-stresses in linear elasticity Archive for Rational Mechanics and Analysis. ,vol. 11, pp. 415- 448 ,(1962) , 10.1007/BF00253946
A. Nateghi, M. Salamat-talab, J. Rezapour, B. Daneshian, Size dependent buckling analysis of functionally graded micro beams based on modified couple stress theory Applied Mathematical Modelling. ,vol. 36, pp. 4971- 4987 ,(2012) , 10.1016/J.APM.2011.12.035
Shengli Kong, Shenjie Zhou, Zhifeng Nie, Kai Wang, The size-dependent natural frequency of Bernoulli-Euler micro-beams International Journal of Engineering Science. ,vol. 46, pp. 427- 437 ,(2008) , 10.1016/J.IJENGSCI.2007.10.002
M. Mohammad Abadi, A.R. Daneshmehr, An investigation of modified couple stress theory in buckling analysis of micro composite laminated Euler–Bernoulli and Timoshenko beams International Journal of Engineering Science. ,vol. 75, pp. 40- 53 ,(2014) , 10.1016/J.IJENGSCI.2013.11.009
Tim Giffney, Miao Yu, Kean C Aw, Haixia Zhang, Contactless RF MEMS switch using PZT actuation nano/micro engineered and molecular systems. pp. 861- 864 ,(2013) , 10.1109/NEMS.2013.6559860
F. Yang, A.C.M. Chong, D.C.C. Lam, P. Tong, Couple stress based strain gradient theory for elasticity International Journal of Solids and Structures. ,vol. 39, pp. 2731- 2743 ,(2002) , 10.1016/S0020-7683(02)00152-X