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

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Abstract

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.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (11572237, 11372123).

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Authors and Affiliations

  1. School of Civil Engineering, Lanzhou Jiaotong University, Lanzhou, 730070, Gansu, People’s Republic of China

    Chenlin Li

  2. State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi’an Jiaotong University, Xi’an, 710049, Shaanxi, People’s Republic of China

    Xiaogeng Tian

  3. School of Science, Lanzhou University of Technology, Lanzhou, 730050, Gansu, People’s Republic of China

    Tianhu He

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  1. Chenlin Li
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Correspondence to Chenlin Li.

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Li, C., Tian, X. & He, T. Size-dependent buckling analysis of Euler–Bernoulli nanobeam under non-uniform concentration. Arch Appl Mech 90, 1845–1860 (2020). https://doi.org/10.1007/s00419-020-01700-8

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