A Nonlocal Model for Carbon Nanotubes under Axial Loads

Various beam theories are formulated in literature using the nonlocal differential constitutive relation proposed by Eringen. A new variational framework is derived in the present paper by following a consistent thermodynamic approach based on a nonlocal constitutive law of gradient-type. Contrary t...

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Main Authors: Raffaele Barretta, Francesco Marotti de Sciarra
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Advances in Materials Science and Engineering
Online Access:http://dx.doi.org/10.1155/2013/360935
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author Raffaele Barretta
Francesco Marotti de Sciarra
author_facet Raffaele Barretta
Francesco Marotti de Sciarra
author_sort Raffaele Barretta
collection DOAJ
description Various beam theories are formulated in literature using the nonlocal differential constitutive relation proposed by Eringen. A new variational framework is derived in the present paper by following a consistent thermodynamic approach based on a nonlocal constitutive law of gradient-type. Contrary to the results obtained by Eringen, the new model exhibits the nonlocality effect also for constant axial load distributions. The treatment can be adopted to get new benchmarks for numerical analyses.
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institution Kabale University
issn 1687-8434
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publishDate 2013-01-01
publisher Wiley
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series Advances in Materials Science and Engineering
spelling doaj-art-573024a3f6d54a8cad4267c639666e572025-02-03T01:29:08ZengWileyAdvances in Materials Science and Engineering1687-84341687-84422013-01-01201310.1155/2013/360935360935A Nonlocal Model for Carbon Nanotubes under Axial LoadsRaffaele Barretta0Francesco Marotti de Sciarra1Department of Structures for Engineering and Architecture, University of Naples Federico II, Via Claudio 21, 80125 Naples, ItalyDepartment of Structures for Engineering and Architecture, University of Naples Federico II, Via Claudio 21, 80125 Naples, ItalyVarious beam theories are formulated in literature using the nonlocal differential constitutive relation proposed by Eringen. A new variational framework is derived in the present paper by following a consistent thermodynamic approach based on a nonlocal constitutive law of gradient-type. Contrary to the results obtained by Eringen, the new model exhibits the nonlocality effect also for constant axial load distributions. The treatment can be adopted to get new benchmarks for numerical analyses.http://dx.doi.org/10.1155/2013/360935
spellingShingle Raffaele Barretta
Francesco Marotti de Sciarra
A Nonlocal Model for Carbon Nanotubes under Axial Loads
Advances in Materials Science and Engineering
title A Nonlocal Model for Carbon Nanotubes under Axial Loads
title_full A Nonlocal Model for Carbon Nanotubes under Axial Loads
title_fullStr A Nonlocal Model for Carbon Nanotubes under Axial Loads
title_full_unstemmed A Nonlocal Model for Carbon Nanotubes under Axial Loads
title_short A Nonlocal Model for Carbon Nanotubes under Axial Loads
title_sort nonlocal model for carbon nanotubes under axial loads
url http://dx.doi.org/10.1155/2013/360935
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