Static analysis of nanoplates based on the nonlocal Kirchhoff and Mindlin plate theories using DQM

Detalhes bibliográficos
Autor(a) principal: Kananipour,Hassan
Data de Publicação: 2014
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Latin American journal of solids and structures (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252014001000001
Resumo: In this study, static analysis of the two-dimensional rectangular nanoplates are investigated by the Differential Quadrature Method (DQM). Numerical solution procedures are proposed for deflection of an embedded nanoplate under distributed nanoparticles based on the DQM within the framework of Kirchhoff and Mindlin plate theories. The governing equations and the related boundary conditions are derived by using nonlocal elasticity theory. The difference between the two models is discussed and bending properties of the nanoplate are illustrated. Consequently, the DQM has been successfully applied to analyze nanoplates with discontinuous loading and various boundary conditions for solving Kirchhoff and Mindlin plates with small-scale effect, which are not solvable directly. The results show that the above mentioned effects play an important role on the static behavior of the nanoplates.
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spelling Static analysis of nanoplates based on the nonlocal Kirchhoff and Mindlin plate theories using DQMNanoplateSmall-scale effectMindlin plateKirchhoff plateDifferential Quadrature MethodIn this study, static analysis of the two-dimensional rectangular nanoplates are investigated by the Differential Quadrature Method (DQM). Numerical solution procedures are proposed for deflection of an embedded nanoplate under distributed nanoparticles based on the DQM within the framework of Kirchhoff and Mindlin plate theories. The governing equations and the related boundary conditions are derived by using nonlocal elasticity theory. The difference between the two models is discussed and bending properties of the nanoplate are illustrated. Consequently, the DQM has been successfully applied to analyze nanoplates with discontinuous loading and various boundary conditions for solving Kirchhoff and Mindlin plates with small-scale effect, which are not solvable directly. The results show that the above mentioned effects play an important role on the static behavior of the nanoplates.Associação Brasileira de Ciências Mecânicas2014-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252014001000001Latin American Journal of Solids and Structures v.11 n.10 2014reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/S1679-78252014001000001info:eu-repo/semantics/openAccessKananipour,Hassaneng2014-12-05T00:00:00Zoai:scielo:S1679-78252014001000001Revistahttp://www.scielo.br/scielo.php?script=sci_serial&pid=1679-7825&lng=pt&nrm=isohttps://old.scielo.br/oai/scielo-oai.phpabcm@abcm.org.br||maralves@usp.br1679-78251679-7817opendoar:2014-12-05T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false
dc.title.none.fl_str_mv Static analysis of nanoplates based on the nonlocal Kirchhoff and Mindlin plate theories using DQM
title Static analysis of nanoplates based on the nonlocal Kirchhoff and Mindlin plate theories using DQM
spellingShingle Static analysis of nanoplates based on the nonlocal Kirchhoff and Mindlin plate theories using DQM
Kananipour,Hassan
Nanoplate
Small-scale effect
Mindlin plate
Kirchhoff plate
Differential Quadrature Method
title_short Static analysis of nanoplates based on the nonlocal Kirchhoff and Mindlin plate theories using DQM
title_full Static analysis of nanoplates based on the nonlocal Kirchhoff and Mindlin plate theories using DQM
title_fullStr Static analysis of nanoplates based on the nonlocal Kirchhoff and Mindlin plate theories using DQM
title_full_unstemmed Static analysis of nanoplates based on the nonlocal Kirchhoff and Mindlin plate theories using DQM
title_sort Static analysis of nanoplates based on the nonlocal Kirchhoff and Mindlin plate theories using DQM
author Kananipour,Hassan
author_facet Kananipour,Hassan
author_role author
dc.contributor.author.fl_str_mv Kananipour,Hassan
dc.subject.por.fl_str_mv Nanoplate
Small-scale effect
Mindlin plate
Kirchhoff plate
Differential Quadrature Method
topic Nanoplate
Small-scale effect
Mindlin plate
Kirchhoff plate
Differential Quadrature Method
description In this study, static analysis of the two-dimensional rectangular nanoplates are investigated by the Differential Quadrature Method (DQM). Numerical solution procedures are proposed for deflection of an embedded nanoplate under distributed nanoparticles based on the DQM within the framework of Kirchhoff and Mindlin plate theories. The governing equations and the related boundary conditions are derived by using nonlocal elasticity theory. The difference between the two models is discussed and bending properties of the nanoplate are illustrated. Consequently, the DQM has been successfully applied to analyze nanoplates with discontinuous loading and various boundary conditions for solving Kirchhoff and Mindlin plates with small-scale effect, which are not solvable directly. The results show that the above mentioned effects play an important role on the static behavior of the nanoplates.
publishDate 2014
dc.date.none.fl_str_mv 2014-01-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252014001000001
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252014001000001
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S1679-78252014001000001
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Associação Brasileira de Ciências Mecânicas
publisher.none.fl_str_mv Associação Brasileira de Ciências Mecânicas
dc.source.none.fl_str_mv Latin American Journal of Solids and Structures v.11 n.10 2014
reponame:Latin American journal of solids and structures (Online)
instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)
instacron:ABCM
instname_str Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)
instacron_str ABCM
institution ABCM
reponame_str Latin American journal of solids and structures (Online)
collection Latin American journal of solids and structures (Online)
repository.name.fl_str_mv Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)
repository.mail.fl_str_mv abcm@abcm.org.br||maralves@usp.br
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