The bending problem of functionally graded Bernoulli–Euler nanobeams is analyzed starting from a nonlocal thermodynamic approach and new nonlocal models are proposed. Nonlocal expressions of the free energy are presented, the variational formulations are then consistently provided and the differential equations with the associated higher-order boundary conditions are derived. Nonlocal Eringen and gradient elasticity constitutive models are recovered by specializing the variational scheme. Examples of nanobeams are explicitly carried out, detecting thus also new benchmarks for computational mechanics.

Variational formulations for functionally graded nonlocal Bernoulli–Euler nanobeams

FEO, Luciano;
2015

Abstract

The bending problem of functionally graded Bernoulli–Euler nanobeams is analyzed starting from a nonlocal thermodynamic approach and new nonlocal models are proposed. Nonlocal expressions of the free energy are presented, the variational formulations are then consistently provided and the differential equations with the associated higher-order boundary conditions are derived. Nonlocal Eringen and gradient elasticity constitutive models are recovered by specializing the variational scheme. Examples of nanobeams are explicitly carried out, detecting thus also new benchmarks for computational mechanics.
File in questo prodotto:
File Dimensione Formato  
4_J62.pdf

accesso aperto

Tipologia: Documento in Pre-print (manoscritto inviato all'editore, precedente alla peer review)
Licenza: Creative commons
Dimensione 2.54 MB
Formato Adobe PDF
2.54 MB Adobe PDF Visualizza/Apri

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: http://hdl.handle.net/11386/4647782
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 80
  • ???jsp.display-item.citation.isi??? 73
social impact