Size-dependent buckling analysis of Euler–Bernoulli nanobeam under non-uniform concentration

doi:10.1007/s00419-020-01700-8

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	Size-dependent buckling analysis of Euler–Bernoulli nanobeam under non-uniform concentration
	Li, Chenlin 2; Tian, Xiaogeng 1; He, Tianhu 3
刊名	Archive of Applied Mechanics
	2020-09-01
卷号	90 期号:9 页码:1845-1860
关键词	Buckling Charging (batteries) Eigenvalues and eigenfunctions Mass transfer Nanowires Buckling analysis Critical buckling loads Eigenvalue methods Elasticity theory Energy storage systems Nanostructured electrode materials Power applications Simply supported
ISSN号	09391533
DOI	10.1007/s00419-020-01700-8
英文摘要	Nano-sized batteries composed of nanostructured electrode materials stand as one of the most promising candidates for next-generation rechargeable charging devices which have been widely used in the energy storage systems for advanced power applications. Buckling analysis of nanobeam under non-uniform concentration is significantly important for the design of nano-sized batteries under the rapid charging mode. In this work, such issue is investigated in the framework of the size-dependent mechanical–diffusion model, and size effect of mass transfer on buckling property is considered for the first time. By using the eigenvalue method, the critical buckling loads of Euler–Bernoulli nanobeam under the conditions of clamped–clamped, clamped–free, simply supported–simply supported and clamped–simply supported are analytically obtained. The derived results are compared with those of non-gradient nonlocal elastic stress theory, classical elasticity theory and classical theory of mass transfer. It is also found that the value of critical buckling load will be reduced if diffusive nonlocal parameter becomes larger. © 2020, Springer-Verlag GmbH Germany, part of Springer Nature.
语种	英语
出版者	Springer Science and Business Media Deutschland GmbH
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/115564]
专题	研究生院
作者单位	1.State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi’an Jiaotong University, Xi’an; Shaanxi; 710049, China; 2.School of Civil Engineering, Lanzhou Jiaotong University, Lanzhou; Gansu; 730070, China; 3.School of Science, Lanzhou University of Technology, Lanzhou; Gansu; 730050, China
推荐引用方式 GB/T 7714	Li, Chenlin,Tian, Xiaogeng,He, Tianhu. Size-dependent buckling analysis of Euler–Bernoulli nanobeam under non-uniform concentration[J]. Archive of Applied Mechanics,2020,90(9):1845-1860.
APA	Li, Chenlin,Tian, Xiaogeng,&He, Tianhu.(2020).Size-dependent buckling analysis of Euler–Bernoulli nanobeam under non-uniform concentration.Archive of Applied Mechanics,90(9),1845-1860.
MLA	Li, Chenlin,et al."Size-dependent buckling analysis of Euler–Bernoulli nanobeam under non-uniform concentration".Archive of Applied Mechanics 90.9(2020):1845-1860.