期刊
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
卷 64, 期 -, 页码 37-53出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijengsci.2012.12.002
关键词
Bending; Vibration; Microbeam; Functionally graded material; Modified couple stress theory; Higher order beam theory
资金
- NSF [CMMI-1030836]
- Directorate For Engineering
- Div Of Civil, Mechanical, & Manufact Inn [1030836] Funding Source: National Science Foundation
Static bending and free vibration of functionally graded (FG) microbeams are examined in this paper based on the modified couple stress theory (MCST) and various higher order beam theories (HOBTs). This non-classical microbeam model incorporates the material length scale parameter which can capture the size effect. The material properties of the FG microbeams are assumed to vary in the thickness direction and are estimated through the Mod-Tanaka homogenization technique. The governing equations and the related boundary conditions are derived using Hamilton's principle. The Navier-type solution is developed for simply-supported boundary conditions. Numerical results are presented to investigate the influences the material length scale parameter, different material compositions, and shear deformation on the bending and free vibration behavior of FG microbeams. Some of the present results are compared with the previously published results to establish the validity of the present formulation. It is established that the present FG microbeams exhibit significant size-dependence when the thickness of the microbeam approaches to the material length scale parameter. (C) 2012 Elsevier Ltd. All rights reserved.
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