An uncoupled theory of FG nanobeams with the small size effects and its exact solutions | |
Pei, Y.L.1,2; Li, L.X.2 | |
刊名 | Archive of Applied Mechanics |
2021 | |
关键词 | FG nanobeam Neutral axis Nonlocal strain gradient theory Small size effects Uncoupled constitutive relations Uncoupled beam theory |
ISSN号 | 09391533;14320681 |
DOI | 10.1007/s00419-020-01849-2 |
产权排序 | 1 |
英文摘要 | Due to unphysical coupling induced by the material inhomogeneity, FG (functionally graded) nanobeam problems were formulated in a very complex way so that they cannot be analytically solved. In this paper, an uncoupled theory is proposed for FG nanobeams considering their small size effects. First, with the aid of the neutral axis, the axial displacement is expressed in terms of generalized displacements for FG nanobeams. Based on the nonlocal strain gradient theory, the generalized stresses and strains are accordingly defined and uncoupled constitutive relations are derived. Based on the principle of virtual work, an uncoupled theory is eventually established, including governing equations and boundary conditions. Within the present framework, analytical solutions to FG nanobeams are obtained for the first time for general boundary conditions. These solutions not only re-evaluate the previous results but shed light on the small size effects of FG nanobeams. © 2021, Springer-Verlag GmbH Germany, part of Springer Nature. |
语种 | 英语 |
出版者 | Springer Science and Business Media Deutschland GmbH |
WOS记录号 | WOS:000604445000003 |
内容类型 | 期刊论文 |
源URL | [http://ir.opt.ac.cn/handle/181661/94245] |
专题 | 精密计量技术研究中心 |
通讯作者 | Li, L.X. |
作者单位 | 1.Xi’an Institute of Optics and Precision Mechanics of Chinese Academy of Sciences, Xi’an; Shaanxi; 710119, China 2.State Key Laboratory for Strength and Vibration of Mechanical Structures, Shaanxi Key Laboratory of Environment and Control for Flight Vehicle, School of Aerospace Engineering, Xi’an Jiaotong University, Xi’an; Shaanxi; 710049, China; |
推荐引用方式 GB/T 7714 | Pei, Y.L.,Li, L.X.. An uncoupled theory of FG nanobeams with the small size effects and its exact solutions[J]. Archive of Applied Mechanics,2021. |
APA | Pei, Y.L.,&Li, L.X..(2021).An uncoupled theory of FG nanobeams with the small size effects and its exact solutions.Archive of Applied Mechanics. |
MLA | Pei, Y.L.,et al."An uncoupled theory of FG nanobeams with the small size effects and its exact solutions".Archive of Applied Mechanics (2021). |
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