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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Wiley
2013-01-01
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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. |
format | Article |
id | doaj-art-573024a3f6d54a8cad4267c639666e57 |
institution | Kabale University |
issn | 1687-8434 1687-8442 |
language | English |
publishDate | 2013-01-01 |
publisher | Wiley |
record_format | Article |
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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