Navier Solution for Buckling Analysis of Size-Dependent Functionally Graded Micro-Plates

Detalhes bibliográficos
Autor(a) principal: Farahmand,H.
Data de Publicação: 2016
Outros Autores: Naseralavi,S. S., Iranmanesh,A., Mohammadi,M.
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=S1679-78252016001603161
Resumo: Abstract In the present paper, buckling analysis of functionally graded rectangular micro-plates, on the basis of strain gradient theory with one length scale parameter is studied. Considering the Kirchhoff plate theory and the principle of minimum total potential energy, governing equations of micro-plate subjected to in-plane loads are extracted. In accordance with functionally graded distribution of material properties through the thickness, higher order governing equation of sixth order is derived. Consequently, the stability equation is solved analytically for simply supported micro-plates and the effects of material properties, micro-structure parameters, dimensions and loading conditions are expounded on the critical buckling load. Developing the strain gradient theory for buckling analysis of micro-plates made of functionally graded material is a significant novelty of the presented study.
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spelling Navier Solution for Buckling Analysis of Size-Dependent Functionally Graded Micro-PlatesRectangular micro-plateStrain gradient theoryBuckling analysisFunctionally gradedKirchhoff plate theoryNavier solutionAbstract In the present paper, buckling analysis of functionally graded rectangular micro-plates, on the basis of strain gradient theory with one length scale parameter is studied. Considering the Kirchhoff plate theory and the principle of minimum total potential energy, governing equations of micro-plate subjected to in-plane loads are extracted. In accordance with functionally graded distribution of material properties through the thickness, higher order governing equation of sixth order is derived. Consequently, the stability equation is solved analytically for simply supported micro-plates and the effects of material properties, micro-structure parameters, dimensions and loading conditions are expounded on the critical buckling load. Developing the strain gradient theory for buckling analysis of micro-plates made of functionally graded material is a significant novelty of the presented study.Associação Brasileira de Ciências Mecânicas2016-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252016001603161Latin American Journal of Solids and Structures v.13 n.16 2016reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/1679-78252554info:eu-repo/semantics/openAccessFarahmand,H.Naseralavi,S. S.Iranmanesh,A.Mohammadi,M.eng2017-01-09T00:00:00Zoai:scielo:S1679-78252016001603161Revistahttp://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:2017-01-09T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false
dc.title.none.fl_str_mv Navier Solution for Buckling Analysis of Size-Dependent Functionally Graded Micro-Plates
title Navier Solution for Buckling Analysis of Size-Dependent Functionally Graded Micro-Plates
spellingShingle Navier Solution for Buckling Analysis of Size-Dependent Functionally Graded Micro-Plates
Farahmand,H.
Rectangular micro-plate
Strain gradient theory
Buckling analysis
Functionally graded
Kirchhoff plate theory
Navier solution
title_short Navier Solution for Buckling Analysis of Size-Dependent Functionally Graded Micro-Plates
title_full Navier Solution for Buckling Analysis of Size-Dependent Functionally Graded Micro-Plates
title_fullStr Navier Solution for Buckling Analysis of Size-Dependent Functionally Graded Micro-Plates
title_full_unstemmed Navier Solution for Buckling Analysis of Size-Dependent Functionally Graded Micro-Plates
title_sort Navier Solution for Buckling Analysis of Size-Dependent Functionally Graded Micro-Plates
author Farahmand,H.
author_facet Farahmand,H.
Naseralavi,S. S.
Iranmanesh,A.
Mohammadi,M.
author_role author
author2 Naseralavi,S. S.
Iranmanesh,A.
Mohammadi,M.
author2_role author
author
author
dc.contributor.author.fl_str_mv Farahmand,H.
Naseralavi,S. S.
Iranmanesh,A.
Mohammadi,M.
dc.subject.por.fl_str_mv Rectangular micro-plate
Strain gradient theory
Buckling analysis
Functionally graded
Kirchhoff plate theory
Navier solution
topic Rectangular micro-plate
Strain gradient theory
Buckling analysis
Functionally graded
Kirchhoff plate theory
Navier solution
description Abstract In the present paper, buckling analysis of functionally graded rectangular micro-plates, on the basis of strain gradient theory with one length scale parameter is studied. Considering the Kirchhoff plate theory and the principle of minimum total potential energy, governing equations of micro-plate subjected to in-plane loads are extracted. In accordance with functionally graded distribution of material properties through the thickness, higher order governing equation of sixth order is derived. Consequently, the stability equation is solved analytically for simply supported micro-plates and the effects of material properties, micro-structure parameters, dimensions and loading conditions are expounded on the critical buckling load. Developing the strain gradient theory for buckling analysis of micro-plates made of functionally graded material is a significant novelty of the presented study.
publishDate 2016
dc.date.none.fl_str_mv 2016-12-01
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=S1679-78252016001603161
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252016001603161
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/1679-78252554
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.13 n.16 2016
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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