Buckling load and critical length of nanowires on an elastic substrate

Xian-Fang Li; Hua Zhang

doi:10.1016/j.crme.2013.06.002

Buckling load and critical length of nanowires on an elastic substrate

Xian-Fang Li ¹ ; Hua Zhang ²

¹ School of Civil Engineering, Central South University, Changsha 410075, China
² School of Civil Engineering and Architecture, Zhejiang University of Technology, Hangzhou 310014, China

Comptes Rendus. Mécanique, Volume 341 (2013) no. 8, pp. 636-645.

Abstract

This paper considers the stability of nanowires on an elastic substrate. The problem is converted to a generalized Euler problem containing rotational spring restraint. When distributed loading and tip forces are simultaneously applied, the buckling problem of a heavy nanocolumn with rotational spring junction is reduced to an integral equation. An approximate buckling load equation is derived explicitly. The critical length of nanocantilevers is given in closed form. Results indicate that spring stiffness increases the critical length of nanowires. The effect of self-weight on the critical length is pronounced for small tip forces, and becomes weaker for larger tip forces.

Received: 2013-01-20
Accepted: 2013-06-14
Published online: 2013-07-23

DOI: 10.1016/j.crme.2013.06.002

Mots-clés : Stability, Buckling load, Critical length, Rotational spring restraint, Nanowire with self-weight, Euler problem

Author's affiliations:

Xian-Fang Li ¹; Hua Zhang ²

¹ School of Civil Engineering, Central South University, Changsha 410075, China
² School of Civil Engineering and Architecture, Zhejiang University of Technology, Hangzhou 310014, China

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     doi = {10.1016/j.crme.2013.06.002},
     language = {en},
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Xian-Fang Li; Hua Zhang. Buckling load and critical length of nanowires on an elastic substrate. Comptes Rendus. Mécanique, Volume 341 (2013) no. 8, pp. 636-645. doi : 10.1016/j.crme.2013.06.002. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2013.06.002/

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