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.

A gradient model for torsion of nanobeams / MAROTTI DE SCIARRA, Francesco; M., Canadija; Barretta, Raffaele. - In: COMPTES RENDUS MECANIQUE. - ISSN 1631-0721. - 343:4(2015), pp. 289-300. [10.1016/j.crme.2015.02.004]

A gradient model for torsion of nanobeams

MAROTTI DE SCIARRA, FRANCESCO;BARRETTA, RAFFAELE
2015

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.
2015
A gradient model for torsion of nanobeams / MAROTTI DE SCIARRA, Francesco; M., Canadija; Barretta, Raffaele. - In: COMPTES RENDUS MECANIQUE. - ISSN 1631-0721. - 343:4(2015), pp. 289-300. [10.1016/j.crme.2015.02.004]
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/601405
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 12
  • ???jsp.display-item.citation.isi??? 11
social impact