期刊
APPLIED MATHEMATICAL MODELLING
卷 91, 期 -, 页码 723-748出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2020.09.058
关键词
2D FG porous microbeams; Modified strain gradient theory; Bending; Buckling; Vibration
资金
- Scientific Research Projects Commission of Bahcesehir University [BAP.2020-1-07]
A finite element model for the structural behaviors of bi-directional FG porous microbeams is proposed, utilizing a modified strain gradient theory and varying material length scale parameters and porosity. The study explores the effects of variable MLSP and porosity, as well as gradient index in two directions, on the deflections, natural frequencies, and buckling loads of 2D FG porous microbeams.
Finite elemen model for the structural behaviours of bi-directional (2D) FG porous microbeams based on a quasi-3D theory and the modified strain gradient theory (MSGT) is presented. As the main novelty of this study, in order to capture accurately the size effects, the MSGT is employed with three material length scale parameters (MLSPs) rather than the modifed couple stress theory (MCST) with only one MLSP. The material properties including three MLSPs are varied in both the axial and thickness directions as well as porosity. By using a quasi-3D theory, which inludes normal and shear deformations, the governing equations for static, vibration and buckling analysis are derived and solved by Hermite-cubic beam element for various boundary conditions. Through numerical examples, effects of variable MLSP and porosity as well as gradient index in two directions on the deflections, natural frequencies and buckling loads of 2D FG porous microbeams are examined. (C) 2020 Elsevier Inc. All rights reserved.
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