A Fully Gradient Model for Euler-Bernoulli Nanobeams
Joint Authors
Barretta, Raffaele
Luciano, Raimondo
Marotti de Sciarra, Francesco
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-09-20
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
A fully gradient elasticity model for bending of nanobeams is proposed by using a nonlocal thermodynamic approach.
As a basic theoretical novelty, the proposed constitutive law is assumed to depend on the axial strain gradient, while existing gradient elasticity formulations for nanobeams contemplate only the derivative of the axial strain with respect to the axis of the structure.
Variational equations governing the elastic equilibrium problem of bending of a fully gradient nanobeam and the corresponding differential and boundary conditions are thus provided.
Analytical solutions for a nanocantilever are given and the results are compared with those predicted by other theories.
As a relevant implication of applicative interest in the research field of nanobeams used in nanoelectromechanical systems (NEMS), it is shown that displacements obtained by the present model are quite different from those predicted by the known gradient elasticity treatments.
American Psychological Association (APA)
Barretta, Raffaele& Luciano, Raimondo& Marotti de Sciarra, Francesco. 2015. A Fully Gradient Model for Euler-Bernoulli Nanobeams. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1073974
Modern Language Association (MLA)
Barretta, Raffaele…[et al.]. A Fully Gradient Model for Euler-Bernoulli Nanobeams. Mathematical Problems in Engineering No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1073974
American Medical Association (AMA)
Barretta, Raffaele& Luciano, Raimondo& Marotti de Sciarra, Francesco. A Fully Gradient Model for Euler-Bernoulli Nanobeams. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1073974
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073974