On Bending of Bernoulli-Euler Nanobeams for Nonlocal Composite Materials

On Bending of Bernoulli-Euler Nanobeams for Nonlocal Composite Materials

Evaluation of size effects in functionally graded elastic nanobeams is carried out by making recourse to the nonlocal continuum mechanics. The Bernoulli-Euler kinematic assumption and the Eringen nonlocal constitutive law are assumed in the formulation of the elastic equilibrium problem. An innovati...

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Main Authors: Luciano Feo, Rosa Penna
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Modelling and Simulation in Engineering
Online Access:http://dx.doi.org/10.1155/2016/6369029
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spelling doaj-2bf1b71668d74e068c8654b60d50d8b62020-11-24T22:36:40ZengHindawi LimitedModelling and Simulation in Engineering1687-55911687-56052016-01-01201610.1155/2016/63690296369029On Bending of Bernoulli-Euler Nanobeams for Nonlocal Composite MaterialsLuciano Feo0Rosa Penna1Department of Civil Engineering, University of Salerno, Via Giovanni Paolo II, 132, 84084 Fisciano, ItalyDepartment of Civil Engineering, University of Salerno, Via Giovanni Paolo II, 132, 84084 Fisciano, ItalyEvaluation of size effects in functionally graded elastic nanobeams is carried out by making recourse to the nonlocal continuum mechanics. The Bernoulli-Euler kinematic assumption and the Eringen nonlocal constitutive law are assumed in the formulation of the elastic equilibrium problem. An innovative methodology, characterized by a lowering in the order of governing differential equation, is adopted in the present manuscript in order to solve the boundary value problem of a nanobeam under flexure. Unlike standard treatments, a second-order differential equation of nonlocal equilibrium elastic is integrated in terms of transverse displacements and equilibrated bending moments. Benchmark examples are developed, thus providing the nonlocality effect in nanocantilever and clampled-simply supported nanobeams for selected values of the Eringen scale parameter.http://dx.doi.org/10.1155/2016/6369029
collection DOAJ
language English
format Article
sources DOAJ
author Luciano Feo
Rosa Penna
spellingShingle Luciano Feo
Rosa Penna
On Bending of Bernoulli-Euler Nanobeams for Nonlocal Composite Materials
Modelling and Simulation in Engineering
author_facet Luciano Feo
Rosa Penna
author_sort Luciano Feo
title On Bending of Bernoulli-Euler Nanobeams for Nonlocal Composite Materials
title_short On Bending of Bernoulli-Euler Nanobeams for Nonlocal Composite Materials
title_full On Bending of Bernoulli-Euler Nanobeams for Nonlocal Composite Materials
title_fullStr On Bending of Bernoulli-Euler Nanobeams for Nonlocal Composite Materials
title_full_unstemmed On Bending of Bernoulli-Euler Nanobeams for Nonlocal Composite Materials
title_sort on bending of bernoulli-euler nanobeams for nonlocal composite materials
publisher Hindawi Limited
series Modelling and Simulation in Engineering
issn 1687-5591
1687-5605
publishDate 2016-01-01
description Evaluation of size effects in functionally graded elastic nanobeams is carried out by making recourse to the nonlocal continuum mechanics. The Bernoulli-Euler kinematic assumption and the Eringen nonlocal constitutive law are assumed in the formulation of the elastic equilibrium problem. An innovative methodology, characterized by a lowering in the order of governing differential equation, is adopted in the present manuscript in order to solve the boundary value problem of a nanobeam under flexure. Unlike standard treatments, a second-order differential equation of nonlocal equilibrium elastic is integrated in terms of transverse displacements and equilibrated bending moments. Benchmark examples are developed, thus providing the nonlocality effect in nanocantilever and clampled-simply supported nanobeams for selected values of the Eringen scale parameter.
url http://dx.doi.org/10.1155/2016/6369029
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AT rosapenna onbendingofbernoullieulernanobeamsfornonlocalcompositematerials
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