Timoshenko nanobeams are investigated by using a nonlocal Eringen-like constitutive law described by two material length-scale parameters. A nonlocal variational treatment, based on a new definition of the Helmholtz free energy is proposed. The ensuing system of ordinary differential equations of nonlocal elastic equilibrium is consistently obtained with the corresponding boundary conditions. New closed form solutions of nonlocal Timoshenko nanobeams are established and comparisons with gradient and local formulations are performed. Finally, two examples are illustrated to assess nonlocality effects.
An Eringen-like model for Timoshenko nanobeams / Barretta, Raffaele; Feo, Luciano; Luciano, Raimondo; MAROTTI DE SCIARRA, Francesco. - In: COMPOSITE STRUCTURES. - ISSN 0263-8223. - 139:(2016), pp. 104-110. [10.1016/j.compstruct.2015.11.048]
An Eringen-like model for Timoshenko nanobeams
BARRETTA, RAFFAELE;MAROTTI DE SCIARRA, FRANCESCO
2016
Abstract
Timoshenko nanobeams are investigated by using a nonlocal Eringen-like constitutive law described by two material length-scale parameters. A nonlocal variational treatment, based on a new definition of the Helmholtz free energy is proposed. The ensuing system of ordinary differential equations of nonlocal elastic equilibrium is consistently obtained with the corresponding boundary conditions. New closed form solutions of nonlocal Timoshenko nanobeams are established and comparisons with gradient and local formulations are performed. Finally, two examples are illustrated to assess nonlocality effects.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
