期刊
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
卷 72, 期 -, 页码 36-52出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijengsci.2013.06.012
关键词
-
In this paper, a novel size-dependent beam model made of functionally graded materials (FGMs) is developed based on the strain gradient elasticity theory and sinusoidal shear deformation theory. The material properties of the functionally graded (FG) microbeams are assumed to vary in the thickness direction and are estimated through the Mori-Tanaka homogenization technique. Governing equations and boundary conditions are derived simultaneously by using Hamilton's principle. The new model contains three material length scale parameters and can consequently capture the size effect. In addition, the newly developed model degenerates to the modified couple stress sinusoidal beam model or the classical sinusoidal beam model by setting two or all material length scale parameters to zero. 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) 2013 Elsevier Ltd. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据