The bending problem of micro and nanobeams based on the Eringen nonlocal elasticity theory and gradient elastic model is addressed. The variational formulations associated with the two models are consistently provided starting from the free energy. Then the governing differential equations and the related boundary conditions are derived. Exact solutions for deflection, rotation and stress fields are presented for a transversely loaded nanobeam.
Bending behaviour of carbon nanobeams / MAROTTI DE SCIARRA, Francesco; Barretta, Raffaele. - (2014), pp. 2559-2567. (Intervento presentato al convegno Joint 11th World Congress on Computational Mechanics, WCCM 2014, the 5th European Conference on Computational Mechanics, ECCM 2014 and the 6th European Conference on Computational Fluid Dynamics, ECFD 2014 tenutosi a esp nel 2014).
Bending behaviour of carbon nanobeams
MAROTTI DE SCIARRA, FRANCESCO;BARRETTA, RAFFAELE
2014
Abstract
The bending problem of micro and nanobeams based on the Eringen nonlocal elasticity theory and gradient elastic model is addressed. The variational formulations associated with the two models are consistently provided starting from the free energy. Then the governing differential equations and the related boundary conditions are derived. Exact solutions for deflection, rotation and stress fields are presented for a transversely loaded nanobeam.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.