A gradient model for torsion of nanobeams

Francesco Marotti de Sciarra; Marko Canadija; Raffaele Barretta

doi:10.1016/j.crme.2015.02.004

A gradient model for torsion of nanobeams

Francesco Marotti de Sciarra ¹; Marko Canadija ²; Raffaele Barretta ¹

¹ Department of Structures for Engineering and Architecture, via Claudio 25, 80121 Naples, Italy
² Department of Engineering Mechanics, Faculty of Engineering University of Rijeka, Vukovarska 58, 51000 Rijeka, Croatia

Comptes Rendus. Mécanique, Volume 343 (2015) no. 4, pp. 289-300.

Abstract

A first-order gradient model based on the Eringen nonlocal theory is presented. The variational formulation, the governing differential equation and both classical and non-classical boundary conditions of nonlocal nanobeams subjected to torsional loading distributions are derived using a thermodynamic approach, thus providing closed-form solutions. Nanocantilevers and fully campled nanobeams are considered to investigate the size-dependent static behavior of the proposed model in terms of torsional rotations and moments. The results are thus compared to those of the Eringen model, gradient elasticity theory and classical (local) model.

Received: 2014-11-28
Accepted: 2015-02-16
Published online: 2015-03-09

DOI: 10.1016/j.crme.2015.02.004

Keywords: Nanobeams, Size effects, Nonlocal thermodynamics, Nonlocal torsion, Analytical solutions

Author's affiliations:

Francesco Marotti de Sciarra ¹; Marko Canadija ²; Raffaele Barretta ¹

¹ Department of Structures for Engineering and Architecture, via Claudio 25, 80121 Naples, Italy
² Department of Engineering Mechanics, Faculty of Engineering University of Rijeka, Vukovarska 58, 51000 Rijeka, Croatia

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Francesco Marotti de Sciarra; Marko Canadija; Raffaele Barretta. A gradient model for torsion of nanobeams. Comptes Rendus. Mécanique, Volume 343 (2015) no. 4, pp. 289-300. doi : 10.1016/j.crme.2015.02.004. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2015.02.004/

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