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Large Deflection Theory of Nanobeams

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Abstract

One-dimensional nanostructured materials are often used as beams in many applications such as ultrahigh-frequency resonators and ultrasensitive sensors. Compared with usual macroscopic beams, nanobeams have much higher surface/volume ratios so that their surface energies may play a significant role. Besides, they often bear large deflections due to their typically large slenderness ratios and larger elastic ranges. There is, however, lack of a theory that takes into account of both the above two features owned by nanobeams. In this paper, we present such a theory and give applied examples to show that surface energy and large deflection may individually or jointly have notable effects.

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Correspondence to Quanshui Zheng.

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Project supported by the National Natural Science Foundation of China (Nos. 10832005, 10732080, and 10572071), NSFC/RGC (No. 50518003), the Ministry of Science and Technology (grant No. 2008AA03Z302), the Ministry of Education (grant No. 20070003053) and the National Basic Research Program of China (grant Nos. 2007CB936803 and 2004CB619304).

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Zeng, D., Zheng, Q. Large Deflection Theory of Nanobeams. Acta Mech. Solida Sin. 23, 394–399 (2010). https://doi.org/10.1016/S0894-9166(10)60041-9

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